{"group":{"group":{"id":95796,"name":"Mesh generation","lockable":false,"created_at":"2025-07-23T09:24:03.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"This group hosts cody problems about mesh generation and is especially relative to platonic solids and regular polygons triangulations. I wish all of you to simultaneously enjoy solving my problems, learn new interesting notions, and Matlab coding tricks. I welcome your feedbacks and remarks for me to improve. Please do not hesitate to signal me an error if you find one. You will find plenty of some relative functions in my mesh generation toolbox.","is_default":false,"created_by":149128,"badge_id":62,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":7074,"published":true,"community_created":true,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis group hosts cody problems about mesh generation and is especially relative to platonic solids and regular polygons triangulations. I wish all of you to simultaneously enjoy solving my problems, learn new interesting notions, and Matlab coding tricks. I welcome your feedbacks and remarks for me to improve. Please do not hesitate to signal me an error if you find one. You will find plenty of some relative functions in my \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003emesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 126px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 289.5px 63px; transform-origin: 289.5px 63px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 266.5px 63px; text-align: left; transform-origin: 266.5px 63px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 260.242px 8px; transform-origin: 260.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis group hosts cody problems about mesh generation and is especially relative to platonic solids and regular polygons triangulations. I wish all of you to simultaneously enjoy solving my problems, learn new interesting notions, and Matlab coding tricks. I welcome your feedbacks and remarks for me to improve. Please do not hesitate to signal me an error if you find one. You will find plenty of some relative functions in my \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003emesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","published_at":"2025-07-24T18:08:21.000Z"},"current_player":null},"problems":[{"id":60978,"title":"Mesh the octahedron","description":"Problem statement\r\n\r\nAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0, Y \u003e 0, and Z \u003e 0) here can be [1, 2, 5] if counterclockwise oriented (normals are outward oriented).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1200.23px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 600.117px; transform-origin: 408px 600.117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.817px 8px; transform-origin: 373.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.242px 8px; transform-origin: 327.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.9333px 8px; transform-origin: 49.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.2583px 8px; transform-origin: 75.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.5px 8px; transform-origin: 187.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals are outward oriented).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 383.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 191.75px; text-align: left; transform-origin: 385px 191.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"378\" style=\"vertical-align: baseline;width: 504px;height: 378px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_octahedron()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 5;\r\n             2 3 5;\r\n             3 4 5;\r\n             4 1 5;\r\n             2 1 6;\r\n             3 2 6;\r\n             4 3 6;\r\n             1 4 6];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_octahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_octahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-23T16:11:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T08:24:47.000Z","updated_at":"2026-03-31T18:40:36.000Z","published_at":"2025-07-23T09:23:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals are outward oriented).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60979,"title":"Mesh the cube","description":"Problem statement : mesh the cube with quadranglar / squared faces\r\n\r\nAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\r\nA quadrangular mesh F (stands for faces here) is simply a N x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where N is the number of faces. \r\n\r\nYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, F. You will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square [1, 2, 3, 4] and [4, 3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2] and [4, 1, 2, 3] are one same unique square.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nEdit / update\r\nFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first square (Z \u003e 0) here can be [1, 2, 3, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.433px 8px; transform-origin: 229.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 8px; transform-origin: 376.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.8583px 8px; transform-origin: 68.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA quadrangular mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.9417px 8px; transform-origin: 36.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.725px 8px; transform-origin: 16.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efaces\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.8417px 8px; transform-origin: 54.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here) is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185.533px 8px; transform-origin: 185.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.6667px 8px; transform-origin: 74.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.108px 8px; transform-origin: 296.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.6583px 8px; transform-origin: 80.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.4917px 8px; transform-origin: 17.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.0833px 8px; transform-origin: 66.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.975px 8px; transform-origin: 92.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique square.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.275px 8px; transform-origin: 342.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5583px 8px; transform-origin: 50.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1583px 8px; transform-origin: 29.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 378px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 189px; text-align: left; transform-origin: 385px 189px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"378\" style=\"vertical-align: middle;width: 504px;height: 378px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_cube()\r\n  F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4;\r\n             8 7 6 5;\r\n             1 4 8 5;\r\n             2 1 5 6;\r\n             3 2 6 7;\r\n             4 3 7 8];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_cube(),2)),sortrows(sort(F_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_cube.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-23T16:15:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T10:23:00.000Z","updated_at":"2026-03-31T18:43:29.000Z","published_at":"2025-07-23T10:53:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA quadrangular mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efaces\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here) is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60980,"title":"Mesh the tetrahedron","description":"Problem statement\r\n\r\nAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n       \r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0 and Y \u003e 0) here can be [1, 2, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 374.592px 8px; transform-origin: 374.592px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 328.017px 8px; transform-origin: 328.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.4667px 8px; transform-origin: 49.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.5917px 8px; transform-origin: 13.5917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e       \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.2917px 8px; transform-origin: 53.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0 and Y \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 378px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 189px; text-align: left; transform-origin: 385px 189px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"378\" style=\"vertical-align: middle;width: 504px;height: 378px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_tetrahedron()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 4;\r\n             2 3 4;\r\n             3 1 4;\r\n             1 3 2];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_tetrahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_tetrahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:43:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2025-07-23T16:17:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T11:03:01.000Z","updated_at":"2026-03-31T18:44:34.000Z","published_at":"2025-07-23T11:11:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e       \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0 and Y \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60981,"title":"Mesh the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1           0            0;\r\n     cos(2*pi/5) sin(2*pi/5)  0;\r\n     cos(4*pi/5) sin(4*pi/5)  0;\r\n     cos(4*pi/5) sin(-4*pi/5) 0;\r\n     cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 51.0833px; transform-origin: 405px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1           0            0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(2*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(4*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n              1 3 4;\r\n              1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n              2 4 5;\r\n              2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n              5 2 3;\r\n              5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1           0            0;\\n     cos(2*pi/5) sin(2*pi/5)  0;\\n     cos(4*pi/5) sin(4*pi/5)  0;\\n     cos(4*pi/5) sin(-4*pi/5) 0;\\n     cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60982,"title":"Mesh the square with triangles","description":"Problem statement\r\n\r\nAn square is a regular polygon with 4 vertices and 4 edges.\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh, that is to say give one triangulation T of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 995.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 497.617px; transform-origin: 408px 497.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.608px 8px; transform-origin: 183.608px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn square is a regular polygon with 4 vertices and 4 edges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192.275px 8px; transform-origin: 192.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh, that is to say give one triangulation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.583px 8px; transform-origin: 183.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 340.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 170.25px; text-align: left; transform-origin: 385px 170.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"447\" height=\"335\" style=\"vertical-align: baseline;width: 447px;height: 335px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_square()\r\n  T = 1;\r\nend","test_suite":"%% Test every possible solutions\r\nT_correct1 = [1 2 3;\r\n              3 4 1];\r\n\r\nT_correct2 = [2 3 4;\r\n              1 2 4];\r\n\r\nassert(isequal(sortrows(sort(mesh_the_square(),2)),sortrows(sort(T_correct1,2)))...\r\n     | isequal(sortrows(sort(mesh_the_square(),2)),sortrows(sort(T_correct2,2))))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_square.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:03.000Z","deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T16:29:27.000Z","updated_at":"2026-02-10T17:10:21.000Z","published_at":"2025-07-23T16:40:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn square is a regular polygon with 4 vertices and 4 edges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh, that is to say give one triangulation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"335\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"447\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60983,"title":"Check Euler's characteristic on regular polyhedra","description":"Problem statement\r\nGiven the number of vertices and the number of faces of a given regular polyhedron, compute the number of its edges with Euler characteristic, a powerful generic formula linking these three.\r\n\r\nExamples -\u003e check the test suite\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 263.333px 8px; transform-origin: 263.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.042px 8px; transform-origin: 110.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecompute the number of its edges\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.425px 8px; transform-origin: 6.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.8917px 8px; transform-origin: 59.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003echeck the test suite\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function e = check_Euler_chracteristic(v,f)\r\n  e = f;\r\nend","test_suite":"%% tetrahedron\r\nv = 4;\r\nf = 4;\r\ne_correct = 6;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% octahedron\r\nv = 6;\r\nf = 8;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% hexahedron / cube\r\nv = 8;\r\nf = 6;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% icosahedron\r\nv = 12;\r\nf = 20;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% dodecahedron\r\nv = 20;\r\nf = 12;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Euler_chracteristic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:08:07.000Z","updated_at":"2026-02-10T17:11:09.000Z","published_at":"2025-07-24T07:25:21.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecompute the number of its edges\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e-\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003echeck the test suite\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60987,"title":"Build triangulation from -sorted- edge list","description":"Problem statement\r\nAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\r\nA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\r\nIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \r\n\r\nExample (check the test suite here below for more)\r\nE = [1 2;\r\n     1 3;\r\n     2 3];\r\n=\u003e\r\nT = [1 2 3];\r\n\r\nTips \u0026 clues\r\nSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\r\nTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\r\nOn the other hand, the order of the triangles in the list should be preserved;\r\nYou could see this as the reciprocal operation to the one of building the edge list (E = nchoosek(T,2) )\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 792.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 396.1px; transform-origin: 408px 396.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.9px 8px; transform-origin: 369.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 366.017px 8px; transform-origin: 366.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 269.417px 8px; transform-origin: 269.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 130.683px 8px; transform-origin: 130.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (check the test suite here below for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 30.65px; transform-origin: 405px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eE = [1 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     1 3;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 38.5px 8.5px; tab-size: 4; transform-origin: 38.5px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     2 3];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eT = [1 2 3];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.0917px 8px; transform-origin: 41.0917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips \u0026amp; clues\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 275.008px 8px; transform-origin: 275.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 350.75px 8px; transform-origin: 350.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 232.992px 8px; transform-origin: 232.992px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand, the order of the triangles in the list should be preserved;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 312.692px 8px; transform-origin: 312.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"perspective-origin: 249.483px 8px; transform-origin: 249.483px 8px; \"\u003eYou could see this as the reciprocal operation to the one of building the edge list \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.33333px 8.5px; transform-origin: 2.33333px 8.5px; \"\u003e(\u003c/span\u003e\u003cspan style=\"perspective-origin: 58.5417px 8px; transform-origin: 58.5417px 8px; \"\u003eE = nchoosek(T,2) \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.33333px 8.5px; transform-origin: 2.33333px 8.5px; \"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = build_triangulation_from_edge_list(E)\r\n\r\n  T = E;\r\n  \r\nend","test_suite":"%% One triangle\r\nE = [1 2;\r\n     1 3;\r\n     2 3];\r\n\r\nT_correct = [1 2 3];\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Two independant consecutive triangles\r\nE = [1 2;\r\n     1 3;\r\n     2 3;\r\n     4 5;\r\n     4 6;\r\n     5 6];\r\n\r\nT_correct = [1 2 3;\r\n             4 5 6];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Two consecutive linked triangles\r\nE = [1 2;\r\n     1 3;\r\n     2 3;\r\n     3 2;\r\n     3 4;\r\n     2 4];\r\n\r\nT_correct = [1 2 3;\r\n             3 2 4];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Full example #1 : tetrahedron\r\nE = [1 2;\r\n     2 4;\r\n     1 4;\r\n     2 3;\r\n     3 4;\r\n     2 4;\r\n     3 1;\r\n     1 4;\r\n     3 4;\r\n     1 3;\r\n     1 2;\r\n     3 2];\r\n\r\nT_correct = [1 2 4;\r\n             2 3 4;\r\n             3 1 4;\r\n             1 3 2];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Full example #2 : octahedron\r\nE = [1 2;\r\n     1 5;\r\n     2 5;\r\n     2 3;\r\n     2 5;\r\n     3 5;\r\n     3 4;\r\n     3 5;\r\n     4 5;\r\n     4 1;\r\n     4 5;\r\n     1 5;\r\n     1 6;\r\n     1 2;\r\n     6 2;\r\n     2 6;\r\n     2 3;\r\n     6 3;\r\n     3 6;\r\n     3 4;\r\n     6 4;\r\n     4 6;\r\n     4 1;\r\n     6 1];\r\n\r\nT_correct = [1 2 5;\r\n             2 3 5;\r\n             3 4 5;\r\n             4 1 5;\r\n             1 6 2;\r\n             2 6 3;\r\n             3 6 4;\r\n             4 6 1];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('build_triangulation_from_edge_list.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-27T15:26:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:11:40.000Z","updated_at":"2026-02-15T07:41:39.000Z","published_at":"2025-07-24T08:24:46.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (check the test suite here below for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[E = [1 2;\\n     1 3;\\n     2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips \u0026amp; clues\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand, the order of the triangles in the list should be preserved;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou could see this as the reciprocal operation to the one of building the edge list (E = nchoosek(T,2) )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60985,"title":"Mesh the dodecahedron","description":"Problem statement\r\n\r\nAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \r\nA pentagonal mesh is simply a N x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where N is the number of faces / pentagons. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, F.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nTip\r\nVertex indices are written on the figure below; use it to help you visualize;\r\nYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\r\n\r\n\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1057.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 528.55px; transform-origin: 408px 528.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370.717px 8px; transform-origin: 370.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.8583px 8px; transform-origin: 96.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA pentagonal mesh is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 280.45px 8px; transform-origin: 280.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces / pentagons. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 323.733px 8px; transform-origin: 323.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.31667px 8px; transform-origin: 5.31667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 226.783px 8px; transform-origin: 226.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 314.783px 8px; transform-origin: 314.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 340.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 170.25px; text-align: left; transform-origin: 385px 170.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"447\" height=\"335\" style=\"vertical-align: baseline;width: 447px;height: 335px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_dodecahedron()\r\n  F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4 5;\r\n             10 9 8 7 6;            \r\n             11 12 13 2 1;\r\n             13 14 15 3 2;\r\n             15 16 17 4 3;\r\n             17 18 19 5 4;\r\n             19 20 11 1 5;            \r\n             6 7 18 17 16;\r\n             7 8 20 19 18;\r\n             8 9 12 11 20;\r\n             9 10 14 13 12;\r\n             10 6 16 15 14];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_dodecahedron(),2)),sortrows(sort(F_correct,2))))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_dodecahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:09:36.000Z","updated_at":"2026-02-13T17:46:40.000Z","published_at":"2025-07-24T13:28:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA pentagonal mesh is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces / pentagons. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"335\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"447\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60984,"title":"Mesh the icosahedron","description":"Problem statement\r\n\r\nAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nTip\r\nVertex indices are written on the figure below; use it to help you visualize;\r\nYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 996.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 498.05px; transform-origin: 408px 498.05px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.717px 8px; transform-origin: 384.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 334.633px 8px; transform-origin: 334.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 226.783px 8px; transform-origin: 226.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 321.4px 8px; transform-origin: 321.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"446\" height=\"334\" style=\"vertical-align: baseline;width: 446px;height: 334px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_icosahedron()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 3;\r\n         1 3 4;\r\n         1 4 5;\r\n         1 5 6;\r\n         1 6 2;              \r\n         8 7 9;\r\n         7 10 9;\r\n         7 11 10;\r\n         7 12 11;\r\n         7 8 12;             \r\n         2 11 3;\r\n         3 11 12\r\n         3 12 4;\r\n         4 12 8;\r\n         4 8 5;\r\n         5 8 9;\r\n         5 9 6;\r\n         6 9 10;\r\n         2 6 10;\r\n         2 10 11];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_icosahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_icosahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:09:09.000Z","updated_at":"2026-02-13T17:44:47.000Z","published_at":"2025-07-24T14:11:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"446\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60986,"title":"Mesh the convex hull of a random 3D point cloud","description":"Problem statement\r\n\r\nThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\nUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 795.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 397.617px; transform-origin: 408px 397.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.717px 8px; transform-origin: 256.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.125px 8px; transform-origin: 327.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 341.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 170.75px; text-align: left; transform-origin: 385px 170.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"448\" height=\"336\" style=\"vertical-align: baseline;width: 448px;height: 336px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABP8AAAO/CAIAAAA/A/TuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAHrgSURBVHhe7d1NrG3pWdj5aybdZp5u1KM0ZJJmRAYgBStMXCQhI8B2QoECAZNIEMCFSJACykfLbin0wGCg1bQhMS2lkMp2Eilp3KEZUAlGCgM8yscgiTOyo2Rul0fV773vuu9dZ629117f6/34/XR0a93E3Kp7ztl7r/95nrX2e959991nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAjLyn+ycAkLN33+0Ogvd4+QaAxbx8AkD2+uk7hzwGgBGvjgCQt6XpO4c8BqA9XvwAIFfj7v13/+7Zz/98dxx99rPdwY60MQA18vIGAFm6mb7BoH6nHdHGgTwGoEBevQAgPze3nWP9BosCeJo8BqAZXpwAIDP99P3+73/2j/5Rd3xE/T5ksxqAWnj5AYCcpPT98pef/czPvErf7/3e579+9KPPfz2zfh+SxwAUwqsLAORhMPKNbtZvkFUAT7BZDUA2vHgAQAZupm9Qev0+JI8BOIvXBgC42sz0jTJcfj6UzWoAduLZHwAudS99g4n6DdoJ4AlGxwDM5skdAC7S7954j6uBWL/99A3U7yLyGICXPHcDwBUmRr7RzcFv1Nry86FsVgM0w7MzAJzuYfoGD+s3EMBHMzoGqIgnXwA415z0DW6uPUfq91r9r+A//sfdwb7kMcABPLcCwIlSON280DeZGPxGlp8v12/gCUfksTYGWMWzJwCcoh9L0+kbzKzfQABfa2YD32N0DHAiT44AcLx+I01sOycTa8+R+s3KxgaeII8B9uO5DwAOti59g4n6DSw/5+a4Bp4gjwFm89QGAEdamr7BovoNBHBWLmngCRvzWAYDFfm67p8AwL5CBaUQ+vKX56ZvMp2+ZCvk4uXFGIo3fQDwkp/nAcABVox8o5mD38jyc+Z2nwOfVrO///vP3ve+7tj4F6iFpzMA2Nvq9A1W1G8ggHM2p4FPy9o//+e7gwk/93PPf1W/QHU8nQHArk5L30D95u+zn+0OjjYna2eK9RvEAFa/QC08nQHAfrakb7C0fgPLz1cpMWtnGtRvIICBKnguA4A99Lv3y19+9jM/0x0vsrp+AwG8l4qzdib1C1TKcxkAbLZx5ButSN9A/c4na+dI6fuJTzz7yZ8UwEBNPJEBwDa7pG+wrn4Dy8/nZG3RTTuf+gXq5YkMADbYK32DjfUb1BfAsvZ8g/oNBDBQC89iALBWSt/VF/omq9M3KLF+ZW22Yv2G9A3UL1AXz2IAsNwu97jq21K/QT7Lz+dk7Xd9V3cwof81Yqb+4DfqB7D6BQrnWQwAFtpx2znZWL8f+9jzX8N/2HEBnE/WzqR+V5iu30AAAyXzFAYAS2SYvkGs3yDVy3zFZe1M6ncF9QtUzVMYAMx2RPoG2+s3iAHcr99as3Ym9btC/P5J6RvE+g0EMFA+z18AMEM/pXa50Lcv1u/89G08a2dSv0uNB7+R8S9QC89fAPDIQSPfqD/4lbU7Ur9LTddvIICBwnnyAoBJh6ZvkOp3u89//vmv6RrglknfFdQvUDtPXgBw3zlT34dmTmtTvQhg9bvC+KLfKNXvb/7ms09+sjsWwECBvq77JwAwkArqy18+L31D6I4/4GjpRycA9VK/ADASurefvvve4yqYmPr+9m93BysY+XKE8TQYoEzqFwCeGmw7735755vp+xf+QncQbAngyByPI/zgDz770R/tju2WAwVSvwDQM0jffd0b+cb03TeAWybMVjPmBaqmfgHgpdPS9wd/8PnH2PYATsvPxr/Mt+i7xfgXKJb6BYAX5/HpVH73e1wNtp1vdm9iAkyGzISBKqhfAJo3GPnufqFv3zh9+7kbCWCyFb+BjX+BMqlfANo2SN99TWw7/+Zvdgc3bQlgy8+sY8AL1E79AtCwM9N3KRNgzrHupyRp/AtQDvULQKuOS9/5F/qO1577BPAKdnEPcm8y7BMOlEP9AtCecL6eTtmPuMdVMth2TqbXnvtCAKcGnh/Alp9Zav7a84pFBoA8qF8AGjMY+R53j6sdI6EfwIbA7GjLz0fc+woojfoFoCWD9N3R/G3ndWxBA8A26heAZhyavsm9beckrT33g3aORQFs+ZndjbejjX+BoqhfANqQzs6PvtD3UCbAHGHpex0d/X0OcAz1C0DtQvf203fHC32P3na+SQBPMIFcZJe9AG99BJRD/QJQtX4O7XuPq0XbzmNL1577Zgaw5WfO5EcPQPbULwD1GqTvjlaPfOe/19E0E2AusXRHGiAn6heASh2UvpdsO98kgNnFuqDtf+e79xVQCPULQHXCKXg6C9/3Hlcbt52TLWvPfQ8D2PIz9/iWANqjfgGoy2Dke9yFvivstfachL/sd31XdxyYAHMV41+gBOoXgIoM0ncv+Ww73ySAI911Dpf+AsVSvwDU4rj07cstfaOJALb8zIQdU9b4F8ie+gWgCumEO88LfYO09rzXRb+DxjABZr5dfhSS50+CAO5TvwAULkRgP32zutD3ZCGAUwMLYAB4Sv0CULL+/HPHe1xlfqHvtH4Axwa2/Mw5LD8DeVO/ABRrkL572XHbeWyvtedptqCZY/VFv258BZRJ/QJQpnPSdy9HvNfRtNYC2LBxvh1XAMaPEeNfIGPqF4DShLPqdGK94z2uit52vqkfwN/+7d2B5WcAWqV+AShKf6C074W+ye7bzsk5a899NwMYDmX8C+RK/QJQjkH67uXoke/5a899ApibNl6769JfoEDqF4BCHJG+9W073zQIYMvPLdv9q3/zUZPGvwA5Ub8AlOCg9E2O23bOhAkwl7D8DORE/QKQt3D2nE6g973HVXJO9+510e/qnOgHcGV3gZZYAMygfgHIWL9q9rrH1cnbzrtf9LtFxQHMIrtctTv9h7j3FZAf9QtArgbpu4umtp1v+oM/6A4CAdyagy75bvBxBJRJ/QKQpRPS90yXrz0nH/2oAOYkxr9AZtQvAPlJ58p7Xeh78rZzktXac18I4NTAAhiANqhfAHISurefvntd6NtnSzNJlwEL4Kbs+Fa9D/8o418gJ+oXgGz0z493vMdVErr3kvTNZ+05+uhHu4OgH8CFNrCsmunQ93n2QyWgBOoXgDwM0ne7q7adk2zXnpOf//nnv7oRNABtUL8AZOCI9O0zmJomgDmO5WcgG+oXgEuFE+J0TrzjPa6Sq7add7dvOfSXnyMB3IgdL/qNdv8DAQ6jfgG4zmDke8SFvpfb66Lfg8Tl50gAV+zQi36jiYeb8S+QB/ULwEUG6bvd5Rf69uV/0e9NAhiAeqlfAK5wRPom1Ww7J0dMzMbLz1FZAWyWuMiFW8rGv0AG1C8Ap0unvwdd6JuPzNeeo/7yc2QCXJkT1p4BSqB+AThR6N5++m6/0Derbeek0LXnPgHMfDNHymn8C3AR9QvAWfobj7vc46rubefkuE3Re8vPkQBmqZmPweO+pQEmqV8ATjFI3+2y3XYu0Xj5ORLANfmlX3r+MDzoA6AE6heA4/VPjrenb57bzklaey7iot+HBHDpsrro172vgEupXwCO1J8L7XKPq0a2nZOjI2F6+TkKAZwaOKsAVlD5+KVf6g4AMqZ+AThMP06OuNCXHd1bfk7yDGBy8/CBafwLXEf9AnCMQfpulPm281gda88D/QDWwGUxmwVQvwAcYvf0TTLfdi7xvY7mLD8nLgMuS57v9Outj4CLqF8A9nZo+jbl5NXQh8vPkQDmphXjZcvPwLnULwD7Ceey6XR2+z2uitt2Tqpce+4TwExo7adUQDnULwA7GYx8N97jqt+9QRHn0yWuPUeLlp+jywPY2HC+DC/6de8r4ArqF4A9DNJ3o4Iu9D3OJVUwc/k5MgHOXJ4X/QJcR/0CsNmh6UvOBDB9i4bMxr/A6dQvANukM9eWL/QN0tpzoRf9rlh+jgQwY35uBWRJ/QKwVujefvrueKFvs9vOyYXTsEXLz5EAzlnO7/Rr/AucS/0CsEr/bHXfe1yZGpVIAOfGRb8AI+oXgOUG6btF0dvOY0W/19Hq5efozAA2KsxWzqNmoHnqF4CF9k3fpOht533f6+jytFux/ByZAJPMfDhbfgZOpH4BmC2cnqYz1F3ucZXYdq5GCODUwAL4ciaxAD3qF4B5BiPfLRf6VrbtnBS99hxtXH5OBPC1yrro1/gXOIv6BWCGQfpuUc22c1LZ2nO0evk56QewBm6KgTOQK/ULwCPHpS91cxkwMxn/AqdQvwBMSiejGy/0rXXbuT57LT9HRwSwQJrp8hmshzmQGfULwB2hMfrpu/FC36SObeckrT3vctFvVl23ffk5MgE+WaHv9JvGvwCHUb8A3NLPsO33uErMgtokgJnPbB84jPoFYGSQvqvZdi5UWn7ea/wbCOCmuPEVkCX1C8BTO6ZvX93pW9/a8xEE8Jky6c9FD3z3vgIOpn4BeCmccaaTzu33uErC6W+t6bvvex21QAAfrdCLfgFOoX4BeGEw8l19oa9t5zocsfwcbQxgU8G6Gf8CR1K/AIzSd7Wmtp0Ta89LmQC3wKW/QH7UL0DzjkjfiredE2vPWwjgI6S156zKc+lTgbc+Ag6jfgHadlD6UoHjlp8jAcw0y8/A3tQvQKvCmWU6udxyjysX+m7X7Fl+CODUwAIYgIOpX4AmDUa+W+5xlbSw7ZykteddLvptnADeVz5rz6v/S9z7CjiG+gVozyB9VzPyrd7Ry89JP4AnGlgLTcj5vY48PwB5UL8AjdklfW07szuXAdNn/AscQP0CtCSdR2680Ddpatt5zHsd7UsAA3Ak9QvQhpBY/fTd60LfNjX1XkenLT9HAnij3N5ld8t/j/EvsDf1C9CA/rnj6ntc2XbmHAJ4hZwv+o08YwAZUL8AtRuk7zq2ncesPR9HAANwAPULULUj0rdxTa09RycvP0fjAPaTggZZfgZ2pX4BKhVOFtP54up7XNl25kImwEvldtFvlOd/FdAk9QtQo8HId/WFvolt5yMYZz3UD+DPfa47YCD/i363MP4F9qN+AaozSN91jHxvSmvPu1z0W5BLlp8jAVwNzyTA1dQvQF22p69tZ3IjgBtn/AvsRP0CVCSdGm650LdP+h7HefwiAvghl9cCPKJ+AaoQUqqfvi70PVRra8/RhcvPUQjg1MACOCniot/tZZ7GvwAbqF+A8vWniHvd44qxBt/rKEP9ANbAxdn+3GJpAthA/QIUbpC+K7jQ93zO4LewBQ3AKuoXoGS7pG9i23mONteeo8uXnxMBPNDCRb/ufQVspn4ByhTO/9Ip4C73uNK906w950YABwW906+bcgEZUL8ABRqMfFdc6Gvb+UImV3sRwCXa8mxj/Atso34BSjNI3xVsO7NaPsvPkQAGYDb1C1CU3dOXOdLac8sX/WZLADe1VGz8C2ygfgHKsTF9bTvnwCn7EdoM4IIu+o1c+gtcTf0ClCAkU6qmdfe4su3MXnJbfo5MgAvi+Qe4iPoFyN5g5LvuHleJ887VrD1nTgA3wvIzsJb6BcjbIH2Xsu283Y7vdVTNyXoa/+amwQC2Tgwwm/oFyNj29E1sO3OErJafo0YCuLiLfqO9Wt34F1hF/QLkKp3V7XKhLxtZey6IFej8eVICrqB+AfITurefvksv9LXtvCNrz/dku/wchQBODSyAq2T8CyynfgEy0z+TW3GPq373BtKXo2W4/Jz0A7jKBnbRL8AS6hcgJ4P0XcqFvjBQ5RZ0oRf9RjsWexr/AsyjfgGysSV9bTsfIa09u+j3psyXnxOXAedpx6cpy8/APOoXIAPh1C2dva24x5Vt5/zVfXae8/JzJIABUL8A1xuMfLdc6GvbGe6pJoDT2rOLfgP3vgKWUL8Alxqk71K2nU9g7XlCKcvPkQkwQNvUL8B1tqSvC32P5r2OFsl/+TkSwDnYd2pt/AvMpn4BLpJO1DZe6GvbGRapI4DrWHv23AWcS/0CnC50bz99N17oy6GsPT9U1vJzVG4AF/1eR8fx1kfAPOoX4Fz93byl97iy7Xwaa88rlLL8HFmBrlI7DzdgFfULcKJB+i5i2xn2JYAv5IbVwBXUL8BZdkxfyEqJy89RoQFcUzru9YTm3lfADOoX4HjhbCydkC29x5Vt5/OlteftF/22diJe1vJzVFAAu+gXYBv1C3Cwwch36YW+iW1nOEgI4NTAVqDLZfwLPKJ+AY40SN9FjHwpSLnLz0k/gDXwCVz6C5xO/QIcZnX62nbOgbXndUpcfk6K2IKuLxp3fIoz/gUmqV+AY2xJ38S28/l2fK8jSpRtALvoF2Az9Quwt9C9KX1X3OMq0b2UpYLl56iICTAAy6lfgF0NRr7z73Fl2zkr1p63KHr5ORLA5zhii9vyM3Cf+gXYzyB95+t3byB9r2LtmSTPAK71TlGe9IBTqF+AneySvuEU0Fkg5apm+TnKJ4Bd9LuI8S9wh/oF2EM6x3KhL4Fz7gqWnyMr0AAVUb8A24TO6aevC30rsP2iX2oigA910C638S9wi/oF2KB/XrX0HleJbedMuOh3F5UtP0eZBHCtF/1GngaB46lfgLUG6TufkW/dzJqiapafowsD2EW/66TxL8BL6hdglXXpa9s5f9aeuccKdKH8QAp4Sf0CLBROpNK51KJ7XNl2zpm15x1VufwcCeAj1L3RDeRE/QIsMRj5rr7Ql1qZMvVVtvwchQBODXxmAEvEFdz7CnhK/QLMNkjfmWw7F8TaMzP1A/jQBm7qol9Pj8DB1C/APKvTN7HtnC1rz7urePk5sQVdBONfoEf9AsyQTpu2XOgLDapy+TkRwABFUb8Ak0L39tN35oW+tp3bZLjUoHMCuPqLfg/9C3rrI+Al9QtwXz9m5t/jyrZzoVz0u6+0/Fz3+Dc4LoAbfKffQ58w/XwKmqd+Ae4YpO9MRr7FcdEv21mBBiiB+gW4ZUX62nZunLFS4wRwztz7CnhB/QI8Fc6N0unR/Htc9bs3kL7FsfZ8hHaWn6ODAriRd/r1hsbA8dQvQM9g5OtC3+pZe2ZfOwZwgxf9Rgc9hRr/AuoX4JVB+s5h25nI+TSJFWiAXKlfgBfWpW+f9IWx1pafox0D2D7wjox/oXnqF2Bz+tp2LlRae3bRL7vbGMBtrj1LfeBg6hdoW+jelL7r7nGlezFH4iYr0Kt5XgWOoX6Bhg1GvnPuceVCX1iqzeXnKARwamABnAPLz9A29Qu0apC+c9h2rpK1Z47WD+BFDWwTGGBX6hdo0vb0pXR7vdeRCRJzLNqCbva9joITgt/4FxqmfoH2pDOemRf62naGjVpefk5cBryIZ1rgAOoXaEno3n76zrzQN7HtXB9rz5xJAGfC+BdapX6BZvTPcubf4yrRvTWx9sxV5gewi34B9qZ+gTYM0vch286wL8vPyXQAt3zRb3RO9qfxL9AS9Qs0YEX6Jradgd1ZgZ7jnOdeGxzQEvULVC2c1qQzm/n3uEp0b5XS2vPGi36dNLOFAAY4nfoF6jUY+T680Ne2MxzK8vPARAC76PcE7n0F7VG/QKUG6fuQbWfgfIMAdtEvwJHUL1CjjelLC6w9k4l+AL/vfd1B404bfRv/QmPUL1CddBIz50Jf286t2eu9jljH8vNNAvgez8nArtQvUJHQvf30nXOhb5/TLOAqAvgqxr/QEvUL1KJ/4jLzHldJ6F7p2xRrz2ToD/7g+Uf06U93BwDsR/0CVRik70O2ndtk7TkHlp+n9QO45QZ212vgAOoXKN+i9HWhL5C5D32oOwgMgU94lrb8DM1Qv0DJwplKOlmZeY+rxLYzkKFf/MXnvwrg0yheaIn6BYo1GPkuvdCX1qS1Zxf9Xs7y89j4UyGAT5Aezsa/0Ab1C5RpkL7TbDsDJWo8gNOlv0cXqeKFZqhfoEBL0zex7QyUxQQ4+KEf6g6OE15WjH+hAeoXKM2W9AVrz5mw/HxTvOh3QAAHHnrAHtQvUI5w9pNOgB7e48q2M33e64icPfwRgAAOjg7g8Oen8S9QKfULFKJ/3vPwHle2nSF/afzLHG0G8Mnv+pteaI4ubeAi6hcowSB9pxn5co+15zxZfp6p5QlwvPR338egRzS0R/0C2ZufvraducnaM0W4edHvgBXoo334w92BNoYaqV8gb+n8Y86FvoltZyiC5edg6ei78QAWpcAG6hfIVTjF6afvogt9YXfOuQ9l+XmRpgJ4fOnv0Q9G41+ol/oFstQ/55i+x5VtZ6alteeNF/1CVkIApwZuZAJ8wrv+ArVTv0B+Buk7od+9gfSF4lh+juZc9DvWD+CmtqBPG/8CdVG/QGbWpa8LfTmUBcgTtLn8vP1v3fhlwKvNfFB77ENd1C+QjXCSkc4zpu9xZduZpaw9U7E2A1iXAsupXyAP/fOYhxf69klfJnivoyJYfl639txXdwCPb3wVHRrA7n0FNVK/QAYG6TvBtjPnc+57mtaWn/f9+7YwAXbjK2Ab9QtcbXX6wkzWnmlEgyvQxr/AEuoXuFQ6pXChL7uz9lwQy897EcAA96lf4CLhfKWfvjMv9LXtzMmcWJ+swTs/b7/od6DKAL536e868x/Xxr9QF/ULXKF/GjH/Hle6F6jGoZ1f8QT45qW/0hSYR/0Cpxuk7z22ndkirT276LcUlp/31eAKNMAj6hc41/z0TWw7cxUDpUs0uPx8kKYC+LhHq+VnqIj6Bc4SzhvSqcPDe1wluheo2O4X/Q7UFMAPL/1Vp8Aj6hc4Rf+kZOJCX9vO7Mvac1naWX4+c75d3wT4/Hf9Nf6FWqhf4HiD9L3HtjN72eW9jpzmXsjy875CAKcGrnsFes7D1kMbGqZ+gYOtS18A9tUP4OovA96d8S9UQf0CR5qTvradOYi15xI1defnoy/6HSt9C3rOu/6qU+A+9QscI5x/pFOQiXtc2XZmd7usPXO5ipefr/2r1XEZ8PSlvwcFcBr/AsVSv8ABBiPfiXtcJbqXrBgfUbE6AvhCnh+gWOoX2NsgfW+y7Qzc09Ty81WqD2CBCtyifoFdzUzfPunLjtLas4t+K1D3nZ/Pv+h3oNAAnnPp74SNVezeV1A49QvsJ50NuNCXojmv5ThZJX3RE+CH7/rrgQyMqF9gD+Eko5++LvQFtrD8fJq6V6CPCGDjXyiZ+gU2658B3LvHlQt9OZO152rUvfycCTfBApqhfoFtBul7k21nzrHLex2Z53CCyy/6HSgrgBdd+nvo+BcojfoFNliRvgBzVLn8nPMou+IJ8HE/0vLDMiiN+gVWCS/56VX/3j2ubDtzCWvPlbH8fJriAvjhja8GxCo0T/0Cy/VPICYu9E1sO3MCa8+wXQjg1MA1TYB3f2i79xWUSf0CCw3S9yYjX2C7Wu/8nNtFv2NVBjCA+gWWeZi+tp2B3dWx/FzW36IfwBk28KIbX0XGv4D6BRZIL/ATF/omtp05U1p73nLRr1NY6CviMuCll/4CbVO/wAyhCvrpO+dCX4Dt0vKze19doogAvpDxL5RG/QKP9F/Ub97jyrYzwEz5X/Q7IICBiqhfYNIgfcdsO5MPa89kq+jZdZ4BvOLSX6B56he4b2n6wiV2ea8jsmX5OQc5T4CvvfTX8jMURf0Ct4RX8fRCfvMeV7adAZpiBRoon/oFRgYj35sX+vZJX3Jg7Zlspal1cRf9Dgjgm4x/oRzqF3hqkL5jLvQlK9aeW2D5OR9ZBbBLf4GF1C/QM52+tp0ByHACfPm7/hr/QiHUL/DSw/Ttk75Uw9kq5yh97bnPCjRQJvULvDj7TwFw7x5XiW1n8pHWnrdc9EsRyl1+rnVbWwAPpPEvkDH1C80bjHyn73GlewGIQgCnBr4qgDO89Nc6CWRM/ULbBuk74EJfsvWbv/nkflf/z//z/GMF56mw0eUBHF1+6S9Qgvd0/wQa9DB9E91LDubf3nn+IrT6LUvaIk6L0PmL/801XfR701tvdQfBBz/YHZzjp36qO/jUp7qDC/36r3cH73GODTky+4VWpZP+ORf6woXimHd++gZxFLxuGgw7auctmlwGDJRA/UJ7Qvf203dwoa9tZ3KQind+9H7nd3YHfTIYTnNVAGd16a+3PoK82cqAxvRfj418yc1E637v93YHn/1sdzCWAvh3fqc7uCntRTs9LVFZy8/pv7b6zefkkhVoy8/APGa/0BLpS54mxrwheuPH2Pji3hS9IYPTx5iBMCdrJ30DK9DGv5AxP5SCZkykb797A+nLCaZXmm/mbpAGvyl9BxF7M3ejiYHwd31Xd0D+Cpr9Njj4TU6eAGc1+w2MfyFXHpPQgH733rzQN9G9HG3ObvM94/QNYv3++T//7HOfe/H7yQCOZHDpSgnglus3ODOA1S8wj8ck1M62M5dbN+Yd6F/uu7F++5RwidRvKc4P4EzqNxDAkCUPSKiabWcutGXMO3AvfYO0+bw6gCMZXJCy6rfZ9I1OC2DjX2AGD0io18z01b3saJcx79jNneeoX7/BlgCOZHAR8g9gg9/knADOrX4DAQz5cc9nqFRK3y9/WfpyuBC98eOmEL3xY52J9D1CyOb4Mfbbv919APO5CzSQDT+LgupM3OPKtjP72nG3+Z6H6TuY/Qbbx79jBsK5MfstzgkT4Nwu/Q2MfyEzHopQFxf6crSDdptvmrjcNzmnfhMZnI/MAzj+50nfgdTARwSw5WfgEQ9FqIgLfTnOCWPegTnpG4zrNzg0gCMZfLmc69fgd8JxAZxh/QYxgNUv5MF1v1AL6cvu4qW88WMsXsp7UPr2TV/ue/P/N5XwRKNuFK8NvlnXLg+GCeky4E9/uqHLgPuv0cB1/CAKyudCX/Z1/ph3bNGdruL4tz/7DU4Y/44ZCJ8s2/Gv2e9DB10G7NJfYJLHIRTOyJe95BC90dKbPN9cfg4uCeBIBp8j8/qVvtOOCOCcl58DAQxXs/kMJZO+bJQWm2+m72m7zX1L03eO4/af77EX3bLU5EzzTkjA6fwICop1L31tO/NQPmPegZl3uhq4N/sNLhz/DpgGHyTD8a+150X2nQDnOfsNjH8hDx6BUKY56at76Zso3uDa6I3WpW8wUb9BPgGcKOEdqd8KHBHA6he4xeYzlCZ0b0rfL39Z+vLAnMXmHNK3b8ed5zzZi95Rhm93FEnf+Y5Ygf6hH+oOMvHhD3cHwKX8/AmKYtuZOfIf845tudx3evYbZDj+HTAN3iKr8a/B72p7TYAtPwP3mf1COWZuO0vfZk2MeYM8x7zRxjtdzf+/Ov/2VzOZBoObYAHH88MnKIQLfblnYtKbZ+sOrL7ct+/mW/725T/+HTMQni9OXM1+K7DLBDjPS38D41+4mscelKB/oe/P/Ex3bNu5ZdO7zd/zPc9/LeLsapf0DR7Wb1BiAEcy+KF8lp/jf4n03WJ7AIf6ja+b00+V51O/cDWbz5C38Pr9MH1tO7cjLjbfPJ8LxZs+ShQqLn6397/nl0p9Wxl70aVIEc4WFa9Ap3tfrX6WA7bxkyfIWP/V0bZzs+aMeW/Kf7aQBr/bB5gp/2od/w5MX8Dc5kA4h+Vna8/7SkPgpRPgbGe/gfEvXMoDD3J1M31tO7dj4qRt5nQ381OrHdM3mFm/QTUBnNiLjnJYft5ev0aCA/3Z76IG/smffP5rhvUbCGC4js1nyJL0bVY4V4sfY0sXm8N3UbZn0v3LfdnIXnQmpO8R+sXrRtDAZn7mBJnpn/1MXOhLTaanE/Nzd1o+Q4Z++u41nJw/+w3qG/8ONDsNvnb5Wf0eZ8UEOM5+gwzHv2a/cB2POshJ/9THyLd6E+dkexXvTdeebx2RvlEMYPXb19rlwdcuP6vfQy0K4PCZjG96FGRYv4EAhovYfIZsSN8WhPOw9DG2dLd5nfCdFj+udWF6pUKejsMKpKXom51vL/oI0vcgVqCBPfiBE+ThYfrq3qJNDB+Obt05Ths+7Hunq4H5s9+onQnwQN170VctPxv8nmPmBDh+MuP4d+Lp91rGv3AFs1/IQDrp+fKXpW890oz35rnXOWPemcJ3YPw41KHpm6Sm5Z4WpsGpRanMigmwF1CgR/3CpfrJke5xFbpX+pZroniDrKJ37LgMzvAmz+3sP9+TMnhcwimDKyjhIhzxoKtVNSvQH/5wd+CrDyeyawHX6b/gGfmW7l7uBtm27hy7rOQdd6ervtRpK5afg5uz0AZVsBd9yfJz/Jdaez7N9Ap0/HxmfuOrwPIznM6DDS4ifSswfUZVdPSObTk5O2fneUX9Bs1e/ftQuRmc1p5PC2AX/V7iXgD3P5kxgD/1qXzzMgaw+oWz2HyGK4zT17ZzQeJi8830TYvNlaVvEL5p48dS56Tvavaf77m3FB1Yit7XiocVwfwV6B/6odw/yb4H4CzqF87V74cvfelV+iahe6VvhlLxTkdvC/rfww9lnr7MkTJ4XMIpg7Mq4Uve7JdLVHMNMHAWixZwon4zvP56t+lk5Juzm60bNdK6D00s7J1zuW9fbLBFm8+R/eelMt+LPnn52UW/1xqsQPc/n+nS30996vmveS4Yu/oXTuRhBmfpvx6PR76B9M2H6F1hcN52fvoG2+s3EMAzxee0/+//e/GbWy7M4DPrd+NFv9J3L6mBP/CB7iBKl/4G6hea52EGp5hOX92bg4niDUTvfOEE7pL0DdL+rfHv0cbNllsGxyhVv03pD4FTAxv/Aj2u+4XjSd+cxUt5b6ZvvJQ3fjBf/xs+hyXYmdz+ar6bwfbaa68+BuKFwfHjZClNaUH/MuDPfKY7GPDjBmib+oUjhVfZ9EIb73EVulf6Xi4V73T0ss4//sfdQUHpy77uZXBwVQYfzeA3E3MCOEMf/nB3ABzMfgUcpn9aE+9xpXuvdbN1I627l2vTNzXVis3nyP7zQ+uC7ZK96BOWn60952mwAt2/9DfKcMHY8jOcwgMMjiF9MzFRvIHo3VdK36DQ+g0E8ITttXZmBqc0PS6A1W+2+gH8r/5Vd5ACWP1CqzzA4ACD9H3zze44kr4nEL3nuzx9A/V7qN1T7egSzrx+pe/RxgFs/AvN8+iCvaUTmi996dnP/Iz0PZXd5gtlcrlvDOAt9RsI4JuOq7XjMjjW6dH1a/CbrUEA9+s3yC0y1S8cz6ML9tM/lRmnr+49iDFvDvK505X6Pcg5qbZ7Bh86/t0y+A3U7zn6AfwjP9IdRMa/0B4PLdhJ/zzm9def/yp9D2XMm4980jfYpX4DAdx3fqftlcHZ1q/0PVNBAax+4WAeWrCHQfradj6IMW+Gcrjct2+XS38jAZxcm2obSzg2qvptnAAGXvC4gs0m0lf37sKYN1u5pW+gfneXT6ety+Djxr/xT7b2XISPfOTZt397dxz0A1j9Qku+rvsnsEI4fUlnMF/6kvTdWYje+DEWojd+cKEM03dfqZ9/53e6gwZlFWmvvdZ9jP32b3cfp0lRvYL0vcTnP98dBL/xG91B4MsBLfFTJVir/3pp23kvdpsLktXlvsmOs98gjX+DBifA+VfBxDQ4SN+ZRyw/W3suzkc+8vzXmxNg419ohgcVrDKRvrp3BbvNxckzfYN96zdoef+5rEibKOE/+IPuYMcAVr/FifUb/MN/+Cov8wxg9QuH8aCC5aTvLox5y5Vt+ga712/QZgCXW2h73S96mot+i9Ov3yAVZhAbWABDAzyiYKF01vKlLz37n/6n7jiSvnMY85Yu/8t9YwCr3y3qyLPjMtjgt0SD+g0GAax+oQEeUTBb/5RlkL66d5oxbzWKuNPV7vUbtBbAlRXazMuD51O/hYoBnOo3EMDQGPd8hnn65yuvvy59ZwnRGz9uCtEbPyhRtumb9G9YtaMW7v9cX5699tqz3/3d7mPst0+/XzTX+it/pTsIPvzh7iDo3wgaqJQfJsEME+eC0nfMbnOtcr7cty9ljPHvChVPJn/2Z7uDv//3n/+6ZS969UW/Br/XGi8/R/0JcL+HLxf/w8x+YT8eTvDIvZMV3dtnt7l6paRvcFD9BtUHcN1tNqjfZGkGW3su1736DfIMYMvPsDebz3BfOE1JZypf+lJ3EEnfaGK3OS02S98K9C/3hcq89lr3MZaWotOPVCjaxA8s+sXbL2GgLn6SBHdM/IS+8fQ15m1NEXe66jtu9htUPP5tYSx5b/w7NjEQju8ebPBbqInxb5DhBNj4F3Zl9gu3SN8xY942FZe+R0tFXdntr4TZwMRA+E//6ecfb73V/ZaamABD7fwYCUbunQW22b0Tk16t24KCLvfti+PfI2a/QZXj30bqd/7sd2xiGvyhD3UH0/yIIQfTs98otwmw8S/sx6MInpK+gd1mokLTNzi0foPKAripKtsSwEH8P3//+1/85pZ7JSx9MzGnfoOsAlj9wn48iuCliVOTRtLXmJe+ctM3UL/ztVZlu9Tvr/7qi988e/ZP/kl3MDbIYPV7oVS8AwIY2uMhBC/cOy+pvnuNebmp9Mt9D73xVVRHADeYZFvqN/3fpvpNHmaw+j3Tvdy9qYgVaPULO/EQgibT15iXCRXc6eqE+g0qCOA2k2x1AE/UbzKRwR/8YHfAEeYU7x/+4fNfv/VbX/ymZ+YQ+MIAVr+wEw8hmtdO+hrzMlPRO8+R+p2j2WnkofXbp4QPNXPAG4u3b1y/wUQAh+D85Ce74+CqBhbAsAePH9p28+Svsu4VvSxSQfoG59RvUG4AN5u+wcb6nZm+fTJ4F6tzdyDVb3ii6D/RZR7A6hf24PFDq6of+dptZoU60jc4v36DsgK45foNVgTw0sHvTTJ4qfn7zPP16zcYPN3da2ABDFXw4KFJtaavMS9bVHC5b188rz26foMSx7+Np29wVf0mMvievQa8Ewb1Gz0cAsfgvDaA1S9s5sFDe26e9hXdvca8bFdZ+gan1W9QVgBL3+Dy+u1TwkcMeCfcrN9AAEMDPHJoTDXpa8zLvqrZeU7U703SN1kawPF/v3v69rWTwSfn7sC9+g0GT4CDBk7BeWEAq1/YxiOHZtw75/vLf7mklxBjXo5QX/oG6bxWAPep32RR/R43+L2pvgw+YZ95von6DUoJYPULq3jk0IabJ3yhe6P8X0JEL8epMn2Dq+o3yDaApW9fzvWbFJ3B1w54p8UAvlm/Uf/5MLcANv6FDTxsaECh6Wu3mRPUmr7ByfUbZD7+lb5j8wP4qvrty7+EsxrwTntYv8G9AO6fNlwSwOoXNvCwoXbT6Rvk9uJhzMtp6rvTVd/59RvkHMDqd2xp/V6Yvn35ZHBBuTswp36DwRNjamABDMXymKFq47O9fvdGObxyGPNyvrrTN1C/fdL3ppn1m8Pg96ZLMjjnfeb5ZtZvdHMIfG0Aq19Yy2OGSj0c+SYXvnIY83Khineeo0vqN8gwgKXvhDkBnG39JodmcLkD3gmL6jcYB/Dg5EEAQyE8YKhRzulrzEsOqk/fKJ7anly/QVYBLH2n1VG/fbuUcB0D3gmxfoNyA1j9wioeMFRnfvoGp71miF7y0Uj6Buo3UL/T5tdvEenbtyiDqxzwTlhRv8HgOfNTn+oO+lIDnxbA6heW8IChLuPzvHvdGx39mmG3mdxUf7lvXzqvbTaApe8c0wFc1uD3pokM/vznu4N7qsndgXX1G/WfOacDODi0gY1/YTmPFmqxaOSbHPGCYcxLtppK3yCH+g2uCmDpO1P19ZtMZHAQS7jW3B3YUr9BJgGsfmE5jxaqkEP6GvOSv3Z2nqML6ze4fPyrfmequH5//Me7g7H3v787GPv4x7uDim2s30AAQ5k8VCjf+AzvYfdG218qjHkpSGvpG1xbv8GFASx9F5kI4Pj/VUr6TuRu3xe+0B0Ef+NvdAdjFWfw9voNBs+l4wY+IYDVLyzkoULhVqdvsPqlwpiX4jSYvkGz9St9l7pXv0UMfucUbz9372kqg3ep32h6CCyAITMeJ5RsS/oGS18nRC+Fau1y3+Ty+g3OD2Dpu04M3SLqd8WAd5GJDA7qKOEd6ze4NoDVLyzhcUKZNnZvMPNFwm4zpWs2faN4anty/fafoP7f/7c7CM4JYPW7zs3xbz71u9eAd6laB8L71m8weHYdNLAAhmx4kFCg7ekbTL9CGPNSh8bTNzitfieaMwXwCfUrfVebqN9L0vfoAe9SlWXw7vUbXBjA6hdm8yChNLukbzB+hTDmpT5tXu7bd2j9zk/NcwJY+m4UWzfV78mD39xy9546MviI+o36T7anBbD6hdk8SCjK4NxuXfcG/ZcHY15qJX2DdGq7VwCvK0z1W4TB+PeE+r1qn3kvRZdwDODd6zcQwJAxjxDKsVf6Bv/3/90d3CR6qYD0jbbX715JeXQAS9/tTqjfUga8S5WYwcfVbzB44u038EEBrH5hHo8QSjA+q1uXvqKXRrjcN1lXv0eU5KG3v5K+e4nF26/fjelba+7eU1AGH1q/0b0hsACG63h4kL3BWd2K7p2IXsVLfaRv3/z6PSEgDxr/St8dpXlvsqJ+5xTvH/1RdxDVlyv5Z/AJ9RucGcDqF2bw8CBvq9PXmJdm2Xnum67f87vxiABWvztaV78zB7yD4h2rNVryLOFz6je4F8BBamABDGfx2CBjK9LXmJfGSd+xeHab6vfaVty9fqXv7voBPJG+Kwa8c9QdLVllcKzf4OQADo4bAqtfeMRjgyyNz+cm0teYFyLpe1M8tf1zf+7FbzKwYwBL3yPcq9+9BrwPtdAtOWTwmfUb3RsCHxHA6hfu8NggPzNHvsa80Ody33tyq99grwBWv0cYLz9P256798jgQ51fv8EJAWz8C5M8MMjMw/QVvTAmfSekU9vKxr8Xpu/SPqzMcbl7TyMZc3IJX1K/wdEBrH5hkgcGObmXvnabYYL0nXavfv/W3+oOLvFn/kx38Lu/2x2Qs/OL9x4D4b1cVb/B4Ik6NbAAhuN5VJCNfvrG7jXmhYc++tFn/8v/0h3/wR90B/T96T/dHfzLf9kd5CDVbyCAc5ZP9w7I4I0urN/o5hB4lwBWv3CfRwUZmL+/J3prFRKOdaTvQ3nWb7D7+Pcf/aPuIB8XrmfP8QM/0B30feYzzz7wge44yjaAIxm8zuX1G75w/XdiE8BwCg8Jrvbw3Kig4pVwnKzK9E0Jt1c4/R//R3fw1/5ad5CPX/u17uCv/JXuoDJ51u+96E0G9RtkHsBRI52zVwnnUL/B4K3IYwNvD2D1C3d4SHCpiROjf/tvuwMo0QlTuI99rDsIZr4XS1nUb+kyTN+H3Ru9rN//7j/+x6990zfF4zICOGmheTZm8OX1G6Qv03gIvFcAq194ykOCS43Pjf7Nv/FMnZEMFymJqk/fYMd2igGcYf0GFQdwVvU7s3ujXv2GX0sN4EgG35NV/Qa7B7DxL9zi8cCl0rlRiN6xvZ6vJRz1SfVba/oGrdVvUFkA51C/i6I3eVq/QdkBHMngsRjAmdRvsG8Aq1+4xeOBS6Vzo5/7ue4AeKiF9A12r9/A+Pc0l6fvuu6NRvUb1BDAUSMtNKeEc6vfYHwZsACGXXkwcDUBDIs0kr5BO/Ub1BfAV9XvluhNbtVvUE8AJy1E0UQGf/7zz3+9sH6Dm1+CwRB4dQCrXxj5uu6fAOSvf7kvZOuS9A3dO07f0L1L0/e+VzH8p/5Ud1C68JWKHxX73//37mPs27/9+UeGz6uf+1x3EPzQDz370R99/hGloJ0jpXLdX2JYwo+CyEB6Ujb+hQn9U7TqB7/Bjqdr+c9+g5rGvyefau8y7+27M/uNKpwA9zU+DQ5OPhWZ+ITvchmw8S885ZFABtQvPNRa+gbN1m9QegCfU7+7R28ys36DKgM4aiGWvuVbnr3//d3x2DnnJNOf510uAxbA0GPzmQykp2NbnfBQI+nboJzLfJET0vf4JecJT5K4mhXosfB1TB8V+93fff7xN/9m99u+cE4SPy70uc/d2IJOFm1BAy/4IRB5SC+uxr8wlk6/2knf3U+4c37To74K9p+Pi6Xjhr0Dk7PfqJUJ8EBlw8Nv+Zbu4Hd+pzsIfuEXuoOxg05R5nxWt9wHy+wXejwMyIYAhpuaSt/jwkn9nuOgr+Bp3RvNqN+g0QCO6uiom/WbTGRwsOO5ysxP5mAL+tu/vTsIBDDM5jFANtQvjPWX7iqu3+OiNymlfoOiA3jfL+XJ0ZvMq9+g6QCOiq6p6frtO3QgPP9zuDqA1S+85DFATgQw9FWfvidEb1LEja+SQgN4xy/oVd0bza7fQAC/UlxZza/fKPwF//7f747HVp+6LP289RtYAMNC7npFll5/vTsAgvrSN2TSmelLQUL3jtM3dO9p6btQKzfBmiM+rut+aP/sz3YfYx876y5Z/ftgff7z3UHgJlgwgx//kJn0qmn8S+PSKVRN6XvhaXFZs9+gxPHvlq/vtcPegSWz38gE+LbMx4wrZr9jE9PgYObJzIpP1IoJsPEvqF+yk06e/s2/efbmm90xtKay9M1hFlRu/QZFBPDqr3JW3Rstr99AAD+QYXEtrd9g+m+xei969ScnNfCcAFa/oH7JUTqFMv6lTf3FuaLrN4foTYqr36Cs8e/SL3eG0Zusqt9AAM+ST3rtXr/J0gze8jlZEcDql4b57ic/6RTK+JcG1ZG+WXVvUtBtn5NSAnjRVzzn7o3W1m8ggBe4vMGOq99kZgZv/FTMD2DjX5rnW58spRMp41+aUnr65hm9ifo9zswvff7dG22o30AAL3ZhicUAPq5++yZK+Od/vjtYbWYAq1+a51ufLKUTKeNfmlLo5b6ZR29SYv0G+Qfww2+AUqI32Va/gQBe7+QqO7N+k+MyeNzAAhie8n1PrtLplPEvjSgufUuJ3qTES3+D/G9/NfGdUFz3RpvrNxDAW53TZkvrN9jlPyw+an7hF1785pbVGRwDOPz573vfi9+/0G9g9UvbfN+Tq3Q6ZfxLC8pK3+K6Nyq0foPMx7/j74dCozfZo34DAbyPQyPt2vpN9s3gEMDxzxfAMOKbnoyl1wbjX+pWyuW+hUZvUm79BtkG8OC7ovTujXaq30AA7+mIVLukfsfPpf0/c/tedPjz0wr0zQBWvzTMNz0ZSy8Pxr9ULP/0LT16E/V7hPjtUUf0JvvVbyCAD7FXtsX6DU679PfmM+rNP3N1Bqd/RWxgAQw9X9f9EzKUnpG/+Zu7AyhLOAV5+JHklr7j/0IulIr9H/7D7iAH4dsjdO84fUP3lpu+e3uS0H/qT3UHbFToE9S9/+Cb/+8/+7Pdx9hHP9p9TPvc557/+vu//+I3L6TohVb5eQ95S68Hxr+c74Tzqv/tf+sOskrf4k4oZyp69htlNQH+/u/vDvqqid4X499dZr+RCfDh1s0wV8x+g9Xz0oln1zl/5pxp8OBfEf7YP/fnnh8MJsBmv7TKdzzZS8/jrv5lqcwrLrf0rTV6+2IAq98t6o7eZO/6DQTwSRbl3Jn1O/0cu/TPnCjh/vlS+mNDAwtgCN/v3T8hW+nVwvi3NXXHWErf4Nr6bSF6k9LrN7gwgBvp3uiA+g0E8Nkedt1p9fvwmXZ1gj7M4HsBnKhfWuLbnRKk1wzj37I0lVWL5JC+bX51LD+v0FT0JsfUbyCAr3Ev8Cqo32TOXrQApnm+1ylBes0w/j2Tdj3OtTvPLX9lK6jf4LQAbrN7o8PqNxDAVxpk3jn1O/NZd68Enc7gmwGsfmmG73UKkV45jH9n0q7Zuip9fUsEddRvcHQAt9y90ZH1Gwjg68XeW1e/wfxcnP/ce0SCTpTwgACmDd7xiNK8/np3UL3wernlgzydn76+JZgvRG/86AvRGz/Yz5Ou9jZIlzjnifHy596Jt02CJqlfCpF+JFnKe//Gl9UtH9TnzPT1jVS3NLve6+1/x9EbiN4jCWBO9TCDvV7QBvVLgc4Z/6Z4WPcBA/07XR3Kd2BrtgSwYe+lBPD1Dl07z/Op+GEGQ9XUL+VYMf6NGbDuA3bUT9+DBr++def4sR/rDiqw8dJlw948COBqrXg2PvkJfNDArvulDeqXMrVz9S+V2T19RW/LVuw/G/bmRwAXqY5n3fn3xIJaqF+KUtzVvxAcdLmv6GURw96MCeDaFPHkLH1pkvqlWMa/FGH39I3Rq3s3Su8YVLo541/dWwIBXA/Pz5Ax9UtpjH8pyI53uhK9PDQI4Bi9g+6N0at7sySAr/Sd39kdbLTxWfq0J/nB4NdFvzRD/VIy419ytsudrkQvD41vf2XYWywBXJJyn5ntPNMw9UuBjH8py7r0Fb3M199/Nuzdz9e+6Zu6oxMJ4IJ50obsqV8KZ/xLnlZf7huj1ykUi4wnvYHoLZYALlIpz9sGv7RN/VIm419ytiJ9RS/rpCXnf/kvX/z+2bP3v1/3VkAAcwjpS/PUL+Uz/iUri+50JXrP92M/1h0ULUbvYOT7kz/ZHfyf/2d3QMkEcEl2fBo/7hXhXvq65RUtUb8Uy/iXDM2/05XoZZ1x9AaGvZUSwLmLT+OezKEc6pcqGP+SgznpG6PXqVIOynrL35vD3hi9/e41/q2OAM5dKc/nafD71lvdATRJ/VIy41/yNE5f0ctqhr3NexLAsEJ/5/lDH+oOoEnql8KlADb+5Vo373Qlellt5rB3zPi3Rq8C2PiXLcaDXxf90hj1Sy2Mf7nQOH1FL6ttH/YK4BoJ4KP80R91B/nY9+XDzjP0qF/KZ/zLtfqX+8bo1b2ss717qZoAZrFB+lp7pnnql4p88zcLYM7WT9863kqH88XoHXRvjN7V3Wv8WykBzAL33uIIGqZ+qYLbX3E56VuQfL5Y5wx7BXBdBDCLDQa/b7zRHbjol/aoX6pj/Mtp0uBX+rLIEcPesTT+pToCmMcmLvf9+Me7A2iP+qUWxr+cTPqywjnD3sT+c70EcOU23j8ipe9f+kvdQZIGv9Ak9UuNjH85Wv9yX8r1a7/WHZzg5O6lAQJ4Z9/5nd1B6fqX+37P93QH7ncFL6hfKmL8yznc6Yr5YvQOujdG7znda/xbNQHMlPHgF5qnfqmU8S8Hkb7MlOGwVwDXSADzRH/neTz47a89u+UVTVK/1MX4l9NIX266fNg75vZXtRPAdVpx6e/Nned/+k+7g8gtr2ib+qVexr/szp2umJDhsDex/1w7AcwT/Z3nN9/sDtzvCtQvFTL+5SDStyY7fhEzHPbSmPCyFz7+ewHcuJs7z4PBLzRP/VK18RwG1nGTZ8bG0RtkG73Gv5W6fe2mAG5NSt+/+Be7g4HB4NdFv7RK/VIj41/25U5XDJTVvYkArs6gYF6NfwMBnL9wujL9MVP/ct+gP/hNa8+Ri35pnvqldsa/7Ej61mfRW/7G6B08q8Tozbx7qdHNNhLATbs3+AVeUr9UKv3E1PiXjVzuSzCO3qDE6DX+rcXEWFAAt2Ww8/y93/viN08Hv+53BS+pXxowPmeFmaRv42L0Dp5DDHu5VOjehxuxAniZP/qj7qA4g53nmebvVEN11C/1Mv5lI3e6atk4eoM6otf4t2Tzq0UAF2DFO/reMx78Jmnw66JfUL+0YnwWC9Pc6apZFXdvIoDLtHRgJ4ArN7HzHAzudwW8oH6pmvEv60jfBsXoHXRvjN6aupdirdtVFcDVevgWR8At6pdmjIc58JD0rVj64o6jN6g+eo1/i7IufSMBnLV1y8/jy33vDX7H97ty0S9tU7/UzviXpdzpqhE/8APdQV+bw14BPJbN90B4DdseKwJ4rtde6w5KYfALC6lfWmL8y0PStwWhe/vp+2f+zPNfG4zeNP4lVzsO6QRwPcY7z3MGv255BS+oXxpg/MtMbvJctxi990a+bbL/nLEd0zcSwA/seAfmRRb9e9e9xRHwkvqlMca/3ONOVxW7Gb3NFi8l2D19IwF811Xpu9q9wS8wSf3SBuNf5pO+NbnXvdI3Mf7Nz0HpG/33/+k/dUeBAC7LnPs8T9zvKnDLK5qnfmmP8S9jLvetTIzeQffG6NW9EwTw1UKaHFsnL+JHABfpZvrOHPy66BdeUr80w/iXe6RvTQx7V3D7qzwcPpXrzf0EcF4e7l3fvNw3pW8yPfgF1C+NMv4lcaerOqwb9v70T3cH2H++2pnpGwngIt3ceXbFL8ymfmmJ8S8D7nRVAcNeynds+obXvlH6RgK4DNM7z//kn3QHyb3B751vA2iK+qVVxr9I39KtGPYywfj3CiFHDk/fSQI4F/eWn+e/xVFaex5w0S/0qF8aY/zLmPQtS4zem9272ic+0R00TgCf6/BJ3LxZnwB+7gtf6A6yNXPwC0xSvzTM+Ldl7nRVonH0Boa9lOnwke+SNVcBnKk5b3EUud8VzKN+aY/xL9K3LBPDXt27O+PfUxyevssJ4OzcS991g99V3xVQH/VL24x/G+QmzwUx7KVGGaZvJIAv1r/0d/7lvsHE4NdFv/CU+qVJxr/NcqerIhj2Xsv49zDhtefA9A0vbZvnewI4O7sMfoGX1C/NM/5tk/TN0/nDXm/5e5MAfulr3/RN3dFmB3ZvsN9ea+sB/Npr3cGFHu48A2upX1pl/Nsgl/vm7PzuhROVkr6RCfBl3n131s5zf/D7W7/VHbjfFcygfsH4tw3SN08xegfdG6NX917L+Hc/ZaVvJICvt+PO8zHfJFAi9UvD+uNfAVw3d7rKUG7DXm/5O0EAb3BgdoRXsSOrRgBf4Bd+oTt4+BZH0fTg1y2vYET9ArVzp6usGPYWJI1/WSWE6bHpezwBfKqJ9HWzK9iJ+qVtxr9Nkb7Xym3Yyxz2n9c6tk1PSd9IAJ8kpe8KrviF2dQvUDWX++bAsJfGHDvyPTF9IwF8qvmD37T2PO30bxjImfqleca/FZO+14rRe7N7KUib49933+0Oljs2fS8igI+19HLfOVz0C7eoX6BS7nR1oXH0Brq3AvafH6kyfSMBfJTpneeHg19rz7CE+gXj3xq509UlJoa9OXfvT/90d8A9bn81Q3ghOSpPw4vU1ekbCeBj7Tj4Be5Qv0B1pO/5DHur5/ZXkw5s0zy6NxHAO5veeX54q+eHg9/Mvn/gcuoXXjD+rZL0PVqhw957vOUvq7STvlG1AfyFL3QHp1mdvg/vd+WiX7hD/QJ1caercxj2Nsj495bW0jcyAd7Blrc4AtZSv/CS8W8FpO8JdG/LBHBPeM04Kk/D61HG6RsJ4N2sHvy63xUsp36BWrjJ86Fi9A66N0av7qU9B7Zp9t2bCOD1jniLo7FyvpfgNOoXeox/y+VOV8cx7KXP+Ff69jwJYGZ6mL4Gv3AY9QvURfruxbAXbjkqT0P3ljmpexXA1Yx/X3utOzjCCZf7uuUV3Kd+4Snj3xK53HdfDQ57veXvIg2Pfw9M35JVGMAnWDH4BTZTv0DhpO+ODHuZqb0ADnkqfScI4Fk2Xu5r7Rk2U78wYvxbEHe62kWM3pvdCw16993u4KUD87SK9I0E8ANzdp53HPxW9K0FO1K/QLHc6Wq7cfQGLXfvJz7RHfBQM+PfoxoixEl1fSKAZ1m38zxz8OuiX5ikfuEW49/8Sd8tJoa95r2s4O1/l6p3LieAbzvnLY6AR9QvUDjpu4hhLztK418WqX0lVQAPzUnfmTvPH/lIdwCson7hDuPfnLnT1VKGvRzE2/8uEl5Zak/fSAC/sstbHKW155na+DaDFdQvUBrpu4hhL2SisSARwEPbB78PuegXHlG/cJ/xb4bc5Hk+3buIt/xdzfh3jiZncQJ4n8t90+DX2jNspn6BcrjT1RwxegfdG6NX904YvckNawjgsdC9Da+hFhbAX/hCd7CLmTvPO77LEfCI+oVJxr95kr43GfZyFbe/uqfh7k1MgM8e/Pqug/vUL1AIl/veY9i7L2/5u4795zER8lKLATxz53nHwa+LfmEG9QuPGP/mQPreZNgLx/n0p7uDdaTvPS0E8PnpC8yjfoHsudPVgGEveTL+jUL3St+RV+PfoO4A3uUtjiL3u4K9qV+Ywfj3Qu501WfYS+YEsO69r6QAfu217mALg1/Ij/oFMiZ9E90L59hy92/p+0j9E+Bd3uIoWjf49U0Ik9QvzGP8e61m0zdG76B7Y/TqXvLU5vg3vEaojnlqDuD5O8+7D37d8grmUb9Arhq/05Vh7/neeKM7YC+NBLDuXaj+CfD2wW/iil/YlfqF2Yx/z9Rs+hr2UoGm3v5X+q7y3voCeP7O85zBb1p7BnalfoH8tHmTZ8PefHjL3+1a2H+27bxW/KxVFcA7Xu67hW9IeET9whLGvydo8E5XuheKIzNWCZ+1/ieukgBe9BZHiwa/M9eeXfQLs6lfIFfVp2+M3kH3xujVvVSg4vGv9F3l5metqgnw/J1n4CLqFxYy/j1UI5f7hu+c8PHuu08+RO+FwuefQ9UUwNJ3lYnPWtkBvG7necfBL7CE+gWyUX36xugd/NDks5/tPqA+ld3+KnSv9F3l4Wet1ADefed5C9+cMIP6heWMf49Q952uxtEbiN58xKpx7niEavaffXusNfMT9ySAv+VbuoNSXHizKxf9whLqFzYTwNvVeqerGL2D7xDD3pz99E93B9AnfVcJn7VFn7gsAvgLX+gOHlq08zxz8GvtGQ6mfmGVdCb0zd/cHbBalek7jt5A9NKm0se/0neVdZ+15wGcrsPPeQKcyVscAQupX9jDuHNYoY701b0wocAAfucbv7E7YrYtPzB47xe/2B0FeQbwost9gx0Hv/d+FuNnNDCP+oW1jH93Uc2drmL0Dro3Rq/uLdEnPtEdsItSbn/l7t972N5hBQRwZPALpVG/sJPxuI+H6kjfcfQGohcGKn77X3r2GkHmG8BLd56X3up50RW/bnkFC6lf2MD4d4vSb/Ico3fQvYa9QKvCK+Je6RtdHMCvvdYd9K3eeX4orT0DR1K/sJ/xAJB7ir7T1Th6A9ELDxn/1mvf7k3ynQAv3Xk+6D1+gYXUL2xj/LtRWemre2EjAVyjg9I3yiiAj9t53vhGR255BbOpX9iV8e8cxV3uG6N38MWN0at76+Mtf2GJE8IriwDO8C2OXPQLy6lf2Mz4d5Gy0nccvYHohS2Mfyty2szx4gBeerlvsPRmV8G6wS+whPqFvY1jiaSUO13F6B18KQ17YXcCuFihe09et81iAnzE4Nf9ruBE6hf2YPw7RxF3uhpHbyB62+Qtf49Tytv/csfJ3ZtcE8Ardp5XDH5Xc9EvLKF+4QDjfCLz9I3RO/jCGfbCcew/F+va2Do7gFfsPC+y+n5XLvqFVdQv7MT4d6bc0nccvYHoBbglhznjNRPgPAe/wELqF44xDqqW5XmnK90L1zL+LUro3nxWbE8K4C07z3NsfKMjYDn1C/sx/r0pt/SN0Tvo3hi9upfg3Xe7A86UQwD70t+XT/cmBwbwF77w/NfXXnvxm7V3ujpn8OuiX1hI/cJhxnPFBmV1k+dx9AailyTEj/45mdtflSDbwDowgFP6LnLazrOLfmEt9Qu7Mv7ty+ROVzF6B91r2MtAv3vfeKM74AT2n/OW+Wzx8BXoI97iKLL2DFdQv3Ck8aSxTVel7zh6A9HLgJEv3FHEWu3+Afw3/2Z3sCh93ewKSqB+YW/Gv9G1l/vqXuZ42L3e8vccxr/5Ca9kRaRvtGcAp/R9663u4AgGv3AR9QsHa3P8e1X6xugdfM5j9Ope+sx7syWAM1BQ9yb7BHBK32j+DZwvGfy65RUsp37hAI2Pfy+509U4egPRy5juzZPbX2Wj3KLacwJ86OA3WTf4dcsr2ED9wvHGVVaxk+90FaN38Bk27OUm3Zs5+88ZKH2YuCmA0+D3f/1fu4OZlg5+09ozcDr1C8dw9e/R6TuO3kD0cpPuhRnq2KNdGcCDnWegUuoXTjHutCqdcLlvjN7B59Owlwm6tyDGvxcJ3VtH+kabJsCnDX433u/KRb+wivqFw7Q2/j06fcfRG4heJmwZ+XrL36sI4NNVWVHLAvi0neftXPQL26hfOMu43Gpy6J2udC9LWXWGeaodIL7nPe/9z/+5O562On1X8EZHcDX1C0dqZPx70J2uYvQOujdGr+7lHt1bAePfs1ScvvGfrwL43vh3y+W+l7zLEbCN+oUTjQeYFTgifcfRG4heph3UvZ/4RHfACeIXsf91PC2Aj/jmyVud6Ru69+kFsY8DODph8Ltd+qs9/TsC86lfOFh6iar+6t/t6Rujd9C9hr08NOglyhK/fIMv4k/8RHfAAcLLUp3xdKcJ7wZwGvz+vb/XHcy3YvC7fe3ZRb+wmfqFc41HmkXb605X4+gNRC8PDZKJUqTcnfjypQC2/7yraoeGk+PQGwE82HkefDf++3/fHQB1Ub9wvFrHv7ukr+5ltYlwIkOxLgaNkblPf7o7qEW1I9/J9I3uToD7g9+Z35+XDH6BPahfOF0d49+NN3mO0Tv4VMTo1b08VFZBNSt+mdLHCsa/u6o2fWd7FcDTO8/rvl1Ps+SvDAyoXzhFZePfLXe6GkdvIHqZaXVHcY74BTriyySANwivQNI3eh7Ar73W/Wbict+Jb+Att3reMvj9xV/sDoAN1C9cYZx/hZqfvjF6B39xw17mOyKopr3xRnfAtPilOegL5PZXm1U7KFw1Av3qj/5odxT8yT/ZHcy3Ln3T2jNwNfULZ6lm/Lv0ct9x9Aail/kOyiq2SLl7wpfG/vMG1Y58V6XvE2+99fzXhwGccheogvqFi4yDsAjz0zdG7+CvadjLIufE1UPe8jdIrZvJF4UZqk3ftdLg972f+MR7/8t/iccLJsAbB7/udwUZUL9wosH4t7gAnnmnq3H0BqKXRSRWDlLrXv61MP5dTvoOPNl5fmFNAF9u+9Ab2qZ+gXnm3OlK97IL3XuhfIp3QADPFvKowkIK1bdT+L23t82xIIC33Owq2Dj4dcsr2In6hXMVOv6dTt8YvYO/S4xe3csiGUZXC1Lu+uSXr87J4Obu7e88x4Pk2Amw+11BZtQvsMQgfcfRG4heVpBeJ0u5W9Cn3fj3Eel700T6Dt0L4I2DXyAb6hdOV9z4d3ynqxi9g/9yw17WKSvAypVa1yd8rIpPiPS9aXy579ir8W+w4wR49/tdbf5sAOoXmDRI33H0BqKXdfLPsNLf8jd+hvP/PM9n/HtHhVUUSm/X2Jse/E4F8OWDXxf9wn7UL1yhlPFv/3Jf3cuOauqx3KTcrfUzLICfCi8ndabvHhbsPO8+AfZGR5Al9Qvc0U/fz3++O4hi9OpeVqi4yi6UctfntjEVdm+wd/rO9ySAB1zxC1VQv3CRUsa/QT99RS+rFd1mMwZHp0qtW/RndTXj3xfqHPnulL59cwa/ye0AXp2+Ow5+D/jMQIPUL/BU3HBOg9+Yvoa9bNRgoe2u5dydcEoAv/ON39gdZaPO9N3Pop3ngakJ8Ew7vtGRi35hV+oXrpPb+Dd2bxD/e4KQvqKXjdTaFil3fQ4H0vi3SdJ32pb0jZ4EsJ1nqIj6hebF6E3tndI30L1sodnWSbnrszetyf3n0Ii1pW/o3mPSd4uvfsM3dEcruN8VZEz9wqWuHf/2ozfqp+9P/3R3AEspt6VS7vq8cV9t3Rvs2r0Dqwe/m9L3IEd+oqAp6heaNO7eQPqyXX39dtBb/qbWre8zdqaWxr/Sd47tO8830ve7v7s7WMTgF7KkfuFqZ45/Y/QO/hXxyt7+krP0ZQUV91BqXZ+oI1QdwNJ3ju07z0/S91/8i+5gkR3vdxW45RXsTf1CG8bRG/Sj92//7e5A+rKUnJuQcten6CAN3P6qtvQN3XvwHu+6we8O6QtkT/1CBvYa//bPs+NHjN7BHzge9kpfVgvfZo1Yej4dH4OcoN795/DaUGH6HmPjzvM+6et+V5A99QtZiufNSz/6fuAHnn8MDKI3SukLi4y/66BEuX4b19a9Qa7p+0SGU9+DR+XQFPULeRiMf8fhOt/87g366Wvwy0y6l9xUN/6tLXfCa9zx6bvaq8HvlvTdffDrol84gPqFWsToHXRvjN6b3TsgfZlD95KtigK4wvQ9xdadZ9f6QgPUL2Rj9fh3HL3BzeiN6ZI+XO7LfPF7BjhSeBmQvovsdrmv9IU2qF8oVozeQff2h72pctNH39/5O92B9GXa+JsH8lT4+LfC7j0rfdd5lb7vvNMdrHbc/a7OmpxDI9Qv5GTm+HccvcFnPvP8I4XudK6k9IUJD7+RGvHGG90BHKbC9D3RisHvk/R9++3ueODCgbCLfuEY6hfKEaN30L0xesPHfP30NfjlHt1Licoc/0rfFbbsPM9K3/m80RGUQ/1CZm6Of8fRGyyN3kj68pCR7z3b30yFE5QWwNJ3hX3SN9ievkBR1C9kb6/uHZC+jOleOFHIxKrSN3Tvuem7wpP03Xex+YjB7ymfT2iK+oX8DMa/SYzeLd3rTlfck2H3xjPpgz5Wi5+oOR9cqITxb21ZM3hYDR4O2z9uWTr4PSR909rzjlz0C4dRv1COD3yg+1hH+gaD06n+R7Ma/+tTvSwDuPL03V3vz1+987wpfb/7u7sDoHDqF7KUXukH499oRQa7yfNDKYPTR/Ua+WvSpjT+zU9V6RterUpI3yd2XHh2vysojfqFks3MYHe6YkD30oI5+8+nPxBqS99DPU3rfS73vfBNjIAMqF/IVXrJvzn+HZiZwdKXQPeu4C1/2Sw8p0vfBe7/+et3nvdN36MHv0d/hqFJ6hfK8eab3UH06U93B33jBna5b6L6jHxpTTa3v6qte09P3x0u9y1l6uuWV3Ak9QsZSy//afzbD+APfvD5r6GBxxmcRsHSl0j3wnUBXFv6Hu1++i71Kn3feac7ANqmfiFv/ZOA119//utgAtxv4EEGz1mZpnrldm/8L9/lY0e//MvdAaW4+vZX0neZyX/FosHvk/R9++3ueC/udwVlUr9QiH7KhgAeD4GjlMH9//3nP//se7+3+6Adu4dfuVIGpw+act3+s/RdIPz5t/4V63aeX6VvsDp9T6j9ey78V0PV1C9kr/8SGMe/0SCA+w38d/9udxCE9O2TwS0QeHC18MRdT77c6dI93fnzd0jf1Zf7TvyV0+D3p36qO9iLi37hYOoXyjHeZJ4YAkcf+cirafCADK6S7oWbzh3/1tO9wdHdGzxK30V2Tt/f+Z3u4KYTPjnArtQvlCC9vt68lHcQwGnwO7gYSQZXT/fChLMCuKoeui59++YPfvdJ35l2H/wCx1O/UJr+8nOSAjjl8cR9OG42cKCBy2XkewJv+dumm8+W99WTviFKL03f1W9x1NmSvtN/8bT2fJwTPvPQKvULhUivhTfHv0EI4P7/13gLeiA28PjEzii4LLoX5jty/Bueo+tJlnPqa0b6LvJq8Htc+h7KRb9wPPULBbo5/v3Yx7qDIN7p6mEARzK4ULoXslFP9wYn5F/4V8z7t6zZeT4ofb/7u5//etz9roBTqF8oR3pVvjf+jf76X+8OghDAMxs4kMGl0L3X8pa/RTtg/Ct9l3n0r1ix81z81Bc4i/qFKqTBb0zf3/qtJxcmzQ/gSAZnS/fCdrsGcD3BFNpP+s506OBXhMOR1C8UJb0o9vecB+mbbAngqKYMLj0adS/kp55MOae4ZqfvfK/S9513uoPjnHC/K+Bg6hcK18/gsUEAr2vgoKYMLpHuhX2l8e+v/Vp3sFDIOOm7zJJ/y8zB75P0ffvt7niFcz4D09zyCk6hfqE06UU6dG8/fQeD32TjFvTAzQYONPBBjHzhaMsDuKruPSH85v1blu48v0rf4IT0/dCHugP3u4KSqV+owr30TXYM4MAo+AS6Fw6Vxr8LVZW+J5j3b1m68/wkfd3pCphN/UKBBq/WD9M32msLuk8GH0H3ZuuNN7oD6rB8/1n6LrP83zJn8HtB+p42+FXjcDD1Cy3Zdwu6TwbvQvdCxirpktBXmaXvop3nOqe+LvqFs/gJExSrn0kzx7/J931fdxCNq3W7e2n92c92BydbUZVnnhuJ3lJ8/OPdwdq9WbKT3sD5r/217mDgxbPZe//Tf4q/K1tWyffC+st9t6RvsOhT8eu//vzX8eB3r89nqt/8vkBQGbNfKFb/NfJXfuX5x3z9CXCw4xA4MQ2eybwXMrH2/s/FyDh9Z7oyfYEqqF8o2eD1e2kAH7QFPSCDJ+heuFwjY/y8h4rLdp7PTN8z5f01gjqoXyhceLHsv15uGQKHAD6ugYObDRy02cBGvpCPzW//m7XBy0Q2Vl7ue3L6psHvm292B7tz0S+cSP1CFQYv57ltQfcZBeteKNBXv/Ebu6OyZNm9waKd51fp+8473cE6uX42gNOoX6hFeFHvv67nuQXd12AG617IVpXj3xJib3rwG/4CT9L37be74xW2fDbi4Pfbvu3Fb4CC+RkYVGfQV4tuB33CvaAn3KvuXW4TvSI7dzxxFL01ibd9ds/nKt28//PLp6aSbvucd/fO3HkOf4ev7JW+wYrPyXjt+V//6+4g2uXzHDef8/6SQTXMfqE64RW0/yKa8xb0wHHT4AvjM/yrpS9wprw7ak36Buen7zlc9AvnUr9QqUEAz2/gS7agB47L4DPpXihOBfvPhaTvtGH6XnKT5zT4/djHugOgfOoX6hVe7wcNPN8ggC9p4KDcDNa91UsrspCJwXN+3u4NfsNfIIv0BSqlfqF2gwAuawic3GzgIMMGNvKFohU6/i2h8R7uPN/4O1yVvga/UCn1Cw0YvPxvGQJfK/NRsO6FOhQXwEWl7z3p7/Bq8NvO1Leg/1QonPqFNoRX1v6L69IhcHLhFnRfbhmse4GrlBZONwe/+6dvEdzyCk6nfqElg5OkQreg+y7PYN0LVSpi/Dv4sWbGpneeD0nfLZ+ZmWvPpf3cAQjULzRmcLZU7hb0wHQGf+AD3W93pHub9cYb3QGNeP/7u4OslJNeE+kb/g7pr5FL+t70xS92B0Dh1C80aRDARW9BD9zL4BDA8WM73QstSOPfDBWYvmP9v8Or9H3nne5gtY2fnPPvd1XOVxMqoH6hVeHldtDAM2W7BT1wUAbrXmhHCuB8xr+Dp+5yDAa/d9P37be743UK+uS46BeuoH6hbYMAXj0EztnNBg6WNrCRLwPe8peTlda993aeb6dvkE/6eqMjqJT6heaF04VBA8+U/xZ035ZRsO6FZuUz/i02fQfupm8ON3lOa8/3fNu3dQdAmdQv8MIggGc2cClb0H2LMlj3Ai999a/+1e7ofKWlb18a/Ia/w4Hpu/1T9DB9j1DyVxZKpH6BlwavwVVuQfc9zGDdCwQb13E3Cs/MBQbSeOd58HfIOn1PWHt20S9cRP0CPYPTrFq3oAceZjDQuJcBfPb4t8DuDR6k7+CF5vL0Dd07mPr+3M91B0B11C8wMgjgiregB2QwkI/C0zcZpu+zZ1/5H//H+Lss0hdoifoFbgnnE4MGnqnoIXAig5n2xhvdAe04c/w7eAYuUxz85pu+g5Hvxz52wX2ey/8qQ3HUL3Bf/4V50RC4r9AAjm42cKCBoT3v/Y3fiAfHBnDJRdTfeQ5/jSd/k93Td4vByNf7G0Ez1C8wKZyvDBp4jgq2oPuMgrnHW/6yr4rS94lB+r7zTnewxbrP1fTI95wMdssruI76BWYYBPDMBn7zze4gKHcLuk8GQ9sOHP+Gp9kq0jd48td4+fd6kr7bb6O97nNl5AvNU7/APINTjTkBHP5P+gEcVBDAkQwGdrSu5bL09S/v8/zcy7/X9ek7PfIdG9/2+Ytf7A6AkqlfYLZwwtE/55gzBA7/+xDAgyFwTWQwNGb/8e+KlstMGvw+SN/gqvTty2TkW/7XHUqkfoGFBi/YcwI4qG8LekAGQzP2DODyE2j8FkfPvfx7PUnf82/yvHTkewIX/cKl1C+wXDj/6J+CrAjgoL4AjmQwMMfgibR8rwa/L/9eO6fvUutGvplMhoFjqF9grUEAP2zgoO4t6IGbDRxo4Dp4y9+2bR3/1tK9w53ne0m/S/rO/6RlOPIF8qB+gQ0GJzoTAdz/n1W/Bd1nFAy1WxzA8ysubzfSt+fV4Pf89O1b3b3jG19F3/Zt3cEWtXwPQHHUL7BZ/1V8Ygjc/581NQSOZDAU6jOf6Q6eSuPfBcLTYC3ZM7zc9+nf65r0zX/k66JfuJr6BfYwOKWbE8BBawEcyeDK/PIvdwe0Z9n+88yEK0H/b/J88Pv0r3ZZ+vZZdQZuUb/AfgYBfLOBpwO4nQYOZDC0o670/Up/5/ny9M1/5AtkQ/0CuxqcqdwbAvc1uAU9IIOhWI/Hv+FZsdL0fe5e+r7zTndwtCNGvkfHc0XfD1Ac9QvsbXCqNx4C33zhbzyAIxkMJbsRwHV1zuAv8/VP1/6fpO/bb3fHW0x/9oob+broFzKgfoFjDM5aVgRwsw0c3GzgQAZDfu7e/qqi9A1/k/iXebXzfC99g3PSt++g7r1322egWOoXOEw4d+mfvswMYEPg5N4oONDAOfCWv7x0Y/+5rvSNZqXv0Zf7ZjLyrejrC01Rv8DBBgHcb+B7Zw8CeOBeBhsFQ4bCM1tFaZT+Jk8u9+05O337Ml91BvKjfoHjDc4FB0Pgm2xB3ySDIVevxr93KnHKu+9u+jjMzQx9fp/nl//q89L35JHvzT/8i1/sDrao6CcjUCL1C5xlEMCxgSfOA2xBT5DBWfGWv7ywMoA35uthNdX/c5+8xdFNu6TvPRWMfN3yCvKgfoETDc7SHgZwIICnyWAoWpbpG/7Qm+k78JVv+IbuaK/0Hf91Th75jrnxFdRF/QLnCic3/fObOAReFMAa+CYZDBnYtP+81GHpe09/8HtS+vaVOPIFMqN+gSsMznLiEHiCLej5bjZwIIPhXI8DeMvg96z0vbnzfHj6Xj7ynfZt39YdLHXMVw2YT/0CFwknAf3zgF/91e5ggiHwfPdGwYEGhiPdffvfgdXpO3jy3M/i9H3nne5go8Ffp76Rr4t+IRvqF7jUIIAfNnA/gAMB/NC9DDYKhsMcuP98TPcGE+nb9yR93367O96i/zfKauRbQXUDI+oXuFo49Rk08DRb0OvI4CO88UZ3QAO++if+RHe03brB7zHpG/7Q6T83DX73T9++bEe+bnwFFVG/QB4GAbxoCGwLehEZDMebGv9mlr43jXeeX6VvsFf6xr9UViPf4xzzFQQWUb9ANsKZwaCBp9mC3kgG78hb/nLfkwAuKn2TJ+m7752ush357sVFv5AT9QtkZhDA0w1sC3oXMhgOMPf2V9MGPxbcz5w/NA5+j0rfRka+QE7UL5CfwameLejT3GzgQAbDKsP956WD38O6d+LPHew8H5i+fXl2rxqH6qhfIEvh3Kh/2jdnCNwngLe4NwoONDCslk36Trj5FkedvdL3N36jxZHvMV9NYCn1C2RscLpgC/pk9zLYKJh2hGRdd6XuS6/Gv3/1r8aDWS5N3+TV4HfH9O0rpXvTbZ+/+MXuACiT+gXyFk4B+2eBtqAvIYNpR8zd9LGruQF8Rfr2DXeed0nf0L399G1k5OuWV5AZ9QuUYBDAhsBXkcFj3vK3AoflbrTs9lcXpe/dy333St++FroXyJL6BQqxcQjMvmQwpTu4eAdm7T8PnuV2Ev7E+ekbvUrfd97pDlZrc+QL5Er9AkUZBPDDIXBiC/ogMpiCnFu8yxzQvcHSP/TrP/GJJ+n79tvd8ToVjHzv/Td/67d2B3Mc88UFVvBoBAo0OHP98R/vDu55/fXuIBh3Gjua+BHDZz7THdTn4x/vDn7iJ7oD8rQ6el9+Y7/3P/yHeLDOV3/kR+LBe/+v/ysedC5N3/7O86v0DbbsPNe06pxueRX/Fv/z//ziN8+e/eEfdgf3pIt+1S9kw+wXKFA4k+ifTCwdAnOce6PgwCiY5t3ef5a+AGdRv0CxBqeMtqCzci+DbURDXx7pG+yTvqF7++kbulf6AjlRv0DJxkPgCSGADYHPJ4Oh58n494D0DX/imj/0rbe6g2BL+vbp3uiYH3AA66hfoHyDALYFnScZDE999emdlrdblFmDtzjqrEvfuke+6/4u3ukXsqR+gSosHQIntqDPJ4Np27K3/51tXfoGr3aeV6dvn5EvkDHLGEBdFt0O2r2gM3HvBxAF3SY63vbZPZ8zd/U9n195z3u++sM/HA/f+8lPxoMtlp7PvarftPO8In3b6d7+bZ9n3vPZDZ8hS2a/QF22DIG5ys1RcGAaTH0Gz1F7kL75kr6QGY9JoFLzh8D9CXBgCHy5EkfB3vK3CJfPfp+20Pbx74rTuBvp+847z95+uzueo8HuvfmWvxOzX4NfyJXZL1CpwTnHxBDYvaBzE0fB4x9DGAVTtPshtO72V5vSN5G+QEvUL1CvcK7ZP92cvh20W2FlSAazo9WD313cSt/3/oN/0B0ttyJ9n4iD30XpG7q3n76he9tJX5EPtVC/QO0WDYH7BHA+ZDBFuz/1TQG8aPy7Ln1v7DwvSt++ZmswrUADZVK/QAPGQ+B7bEFnTgZTnPvpu0L4s3ZL35l3ump55LvRrl96YBfqF2jGIIBtQRdNBpO/wc/d7pg//l3dUjcu952fvn26t+9bv7U7GEi3vALyo36BlgxORm1BV+BmAwcnZ/Abb3QHEM3o3rGJAF6dvk/Ewe+c9DXyBWqkfoH2DAL4XgPbgi7IvVFwYBTM+Ram78PbX21J3+HO88z07dO9gU8CVEH9Ak1aNwS2BZ2/exl88iiYlq2a+k7sP++TvtHD9DXy3cuqbwPgaOoXaNgggCeGwH0CuAhXZfAv/3J3QJt2bZ7wZ+32x7311qz07dO9N03f9tlFv5A3P5cCmjd4F9Af//HuYOz117uDYJxVZO7ejy0+85nuYKOPf7w7+Imf6A7Iysb3+33x/fPe//Af4u9u2KN7v/rDPxwP3vvJT27/457sPE+nr+6dI3Vv+pHoH/5hd5Ck+jX7hSyZ/QLNC+cogyHwPbagi3bVNJgW7JQ6697+96Yn6fvOO93xTdIXaIb6BXhhEMATW9CDBqY4Mph95Tfle3K5b0jft9/ujgdc5XuQ/L4lgEj9ArwUzlcGDXyPAK7DzQYOZDDz7d05X/9y/Du8YdU6b701lb59uvehh58iF/1C9vxoCmBk5pXA/cuAg5sdRUHu/SBj/oXB8dJf1/3m6YjrfndN3/RnfeXl1b/B13/yk93RbI8v99W9qw0u/R1c9+uiX8ie2S/AyMwhsC3oysRR8PinGEbBFdiYvjcdk75BGv+u8GRiLH0BnlK/AHcMAniigRMBXAcZzLTBD8g2G/9Z6/afv/LH/3h3FPzIj3QHiat8z7Hr9wawL/ULcN/gJGZmAGvgaqzLYG/5W7e922bPP+6117qDm+nbp3uBJvnpFMAMK64EHicTFbj3o414bbC3/M3W9s3nF1/69/7H/xh/t5fp87B0AfCcq39fTYkH6at79xUv/U0/9EyX/rroF0pg9gsww7ohMPWZngbDbOE5ZX4kPdx/vvs/kL4APeoXYJ4QwP0GPmgL+t13139wppsNnChhJs3s3pm3v7p9ua+rfA81uOc/UAj1C7DEIIBvNnAI4EuGwIMY3v7BQ/dGwYFpMHfMH/kGD29/9Tx9x5f7Gvlexdoz5E39Aiy0bgg8U1ZnToMY3vhRt+kGlsG8tO8j/En6Rka+l0gX/QJ5U78Aq8wcAicrtqArM4jh7R8Z+shHuoNxCctg1qbvvfHvk4Xn4Ed+xMgXYFpOQwaAEvUzbK97QeeZdtXbZfAeR0B//a8//zV+HT/0oee/jsXbRHOO7Y+pFz+9Wn3P5+3fW4P7P3fpOxj8Jrr3UP3bPsd7PrvhMxTC7BdgG0PgaoRA2v4R/cqvdAfBW291HwOmwQX66jd9U3e0xO49JH2zML7xlfSF7KlfgM0GZzwPAziYDmCnUHUYfB1lcJP2ejAP959vpq+rfC/hol8oh/oF2EPonH7q3BwChwAeDIFp080GDmRwdU79OZbuBXhE/QLsZ+kQeGIL2vi3evdGwYEG3lfaSD9ReADv/hh+9fa/g8GvkS/APM6uAA7QP9u+eSuswQVjN2+FdcUpO1v90i91B/HGV8H8r6P7Yx1kl4fSyx9Uzbnx1UFnV1+JVx1/x3e8+N0kMXy0dOOrP/zDbvPZjyyhBB6oAMcYnHA/bGABXIct9ZvI4H2dW7/Xp+8iOnmdVL/paVz9Qgk8UAGO1D/tXjEEVr8ligGc6jdY/XWUwbs4sX4PTN/du3cpndwX67dP/UIJPFABDjY48x438EQAq98S7Vi/iQze4qz6PSl9f/AHu4OZfvM3u4PTtNDJ6hfK5IEKcLyHARzc24IWwMUZ12+w19dRBq9wfP0edzr1lR/+4e4oWpq+i+jk+dQvlMkDFeAsDxv45hBY/RZnfOlvsO/X8V4DBzJ47OD6PSl9D+3epU7u5AwjeVC/0hcK4bEKcKKHARyMh8ACuCw36zc44utoFDzHkfV70InUqSPfHY0j8FOf6g7OcWYn9wNY/UIhPFYBTtc/F58TwOq3LGfWbyKDJxxWv2ek75tvPvsX/6I7ztzGAiyuk9UvFMhjFeAKg9Pxh1vQb73VHZC/e/UbnPCDDBk8dkz9HnEKNRz5FpS+wWkFmEknq18okMcqwHX6J+UPh8ACuBTX1m8ig1e7+WXq1e9BJ0/DkW8gfTc6p5OlL5TDwxXgUoPz7OkhsAAuRQzga+s3kcGL3Psavazfr791z+eNbox8A+l7pi2drH6hHB6uABnon3Dbgq7AvfoNLgngSAZPm/7SHFa/N0a+gfTNxHd+Z3cQDJ6KE/UL5fBwBcjD4MzbELhoedZvdK+BA9cGTzigfm+PfAPpe6F+7iY3u1f0QoE8bgGyIYCrMXHpb3B5AEdGwcmcr8je9dtP36//xV/8yv/wP3S/kb4nu5m7kWEvVMejFyAz0w08OBvTwHkqon6TxjN45pdjv/odjHyfpO/Xvvbs936vO85fuRE4UbyB6IV6eRgD5Gc6gAND4MxN12+QWwBHDWbw/C/ETvUrfa8xnbuR6IUGeDwD5Kp/Xi6Ay1Jo/SaNZPCir8Lm+h13b/j1VfoGdp53NCd3g3/2z57/+lu/9eI3T4leqJEHNkDGBmfntqBL8bB+g8wDOKo4g5d+/rfVr/Q9w5zijbkb3YzeQPdCvTy8AbLXP003BC5CNfWbVJbBKz75a+v3ZvcG0ncHiwa8ieiFhnmcA5RgcLJuCJy/GMDV1G90r4GDUjJ49ad9Vf1K352ty93EhjM0zwMeoBACuCwP6zcoMYCjQkfBWz7hC+v3XvdGr+q3oPQNLgnFpfvMY4a9wEse9gBFmd/AAvha9S0/31RQBm/8bC+pX+m7ycYBbyJ6gRGPf4DSzA/gQANfZU79BhUEcJR5Bm//PM+r3+nuDaTvDXvlbiR6gfs8EQCUqX82L4Az1Fr9Jhlm8C6f5Bn1K33n2jd3E5f1Ao94RgAo1uCc3hZ0VmbWb1BfAEeZZPBen97J+n3YvcGr9P3a15793u91x/nbqx4PKt7AsBeYzfMCQOH6J/eGwPlQv8mFGbzv5/ZFAI/rV/redlzuRqIXWM4TBED5Bqf4/Qb+vu97/ms6HRTAp5lfv0H1ARydnMG7f1ZH9Tune4NX6RtUvPN8dO4mNpyBtTxTANSif64/GALHBo4+/enugKPFAFa/Ayc08EGfz6f1K32fm1O823M3MuwFNvN8AVCRwUn/eAicaOATzK/foKkAjg7K4OM+ky/rd2b3BhWm72kD3kT0AvvxxAFQl4kADgyBz6R+Z9oxgw/9NMYbX33Hd7z4Taf+9D0/dyPRCxzAMwhAjSYaWACfxqW/S23M4KM/h6F+e+k70b3Rq/otLn3P3Gcec1kvcBhPJQCVmhnAgQY+yKL6DQRwsiKDj/7s/cqvdAcv1Ja+f/bPdgfTjivewLAXOJ4nFICq9ZPAFvTJ1O92MzP4xPR92L1BAembQ+5Gohc4kWcWgNoNwsAW9GmW1m8ggO+ZyOBDP2lPR77P3nzz6//rf+2O78g3fecU7wm5m9hwBk7nKQagDf1CsAV9DvW7u3sNfND3bT99v+d7nn3gA+Gf0/WbV/rmM+DtM+wFruOJBqAZhsDniwE8v34DATzH0Rk8GPmG9A0e1e+r9P3a15793u91x2fKM3cj0QtkwDMOQGPmDIEF8F7U79GOyODByDeZrN9r0jfn3I1EL5ATTz0A7bk3BLYFvbsV9RsI4BV2yeCbI9/kXv2+5z1f+WN/rDsOjt55zr94Y9m++eaL3zwleoFLeQ4CaNK9AA4MgXe04tLfQP1usTqD7418k5v1e0L65p+70UT0BroXyIBnIoCG9StLAB9B/V5ofgZPj3yTcf0elL6l5G6Qmlb0AiXwlATQtntDYFvQu1hXv4EA3tF0Bj8c+SYv6jfoAnjf9C2oeIN+09pwBsrhuQkAQ+DDqN98jBv4O76jO4im0zfo1++LuntVvyvSt6zcjR5Gb6B7gYx5hgLgBUPgI6yu30AAHyRm8CB9Q8t95jPd8T2pfv/bfwu/Lk7fEnM3GNSs6AVK5qkKgJ6bQ2ABvJr6zdCv/mp3EI1z7l4G9+p3bvrOKd7ccjcSvUCNPGcB8NScIbAAni8G8Ir6DQTw7gbp+93f/fzXD37wxW9GBhn8sn5fGadvoQPe6GbK3uxe0QuUyZMXACNzAjjQwHOo30zc7N6B6Qwe1O/Xvvbs936v7NyN5kdvoHuBknkKA+COmw0sgJfasvwcCOBdzEnfvnsZPF/OuRvci1jRC1TNcxkA980ZAgvgaer3Wku7d2BRBmdevMFExNpwBhrgSQ2AR/oBZgt6qY31Gwjg1Tamb3KvgfPP3Whp9Aa6F6iRpzYAZrg5BBbAc6jfSxzXvRUUbyB6gSZ5jgNgtodDYAE8pn7Pt0v6Ftq9ohfgPk92ACxhCLzU9voNBPBMB418C72FVZ/LegHULwBrGAIvEgNY/R7tiJFvzt27OnoD3Qs0yXMfAKs8HAIL4GR7/QYCeEJT3St6AdbyJAjAWg8DONDAgfo91Pb0zf8S3/nVasMZ4D7PhgBsYwj80C6X/gYCeKD67t0YvYHuBejxnAjAZgJ4mvo9wu7pm0n3LupV0QuwhCdHAHbSbzNb0H171W8ggKN++tbRvaIX4HieJQHYjyHwTep3RxtHvlmtOq+IVZf1Amzg6RKAvU0PgRsMYPW7ly0j33y6d6/oDXQvwBKeNAE4wHgI3PIW9I71G7QZwPuOfC/pXtELcDXPngAcYxzAQbND4BjA6nedHUe+J3fv6ky14QxwAE+jABxpegjcTgDvWL9BOwG8ZeR7YffuG72B7gXYgydTAA42HcBBCw1s+XmF1SPfSy7x3RKoohfgFJ5VAThFP9ga3ILet36DugN49cj3/O4VvQDl8PQKwFlaHgKr3/n2Gvke173b69RlvQBX8DwLwLkGQ+BGAnj3+g3qC+C9Rr4Hde9B0RvoXoBTeLYF4HTTQ+AqA1j9PrRu5HtC94pegFp42gXgIk0NgY+o36COAF438j30Et+9utSGM0BOPP8CcJ1BvP3+73cHUZUBrH4HVqTvcd17aPQGuhfgUp6FAbjUoN8q3oJWvwO7jHy3d++ORSp6AfLm6RiADLQwBD6ifoNCA3j7yHdj94pegPZ4XgYgD9UHsEt/o2tXnfctUpf1AhTFEzQAOem3XGVb0AfVb1BQAC9N3126d/ccNewFKJOnaQAyU+sQuPH6Pb97RS8AT31d908AyERoiX5OvO99z37rt7rjYBxF5F9fG9M3dO/M9I3fPINvoe1C947T94h/EQBH8pQNQK4mhsAlToCPm/0G2Y5/t3fvHAclqGEvQF08fQOQscq2oA+67XOUYQAvSt+lq87HJajoBaiU53EAslfNELid+j2ue0UvAGu57heA7A3y433v6w4ClwFnaEv63rvEN3wPxI8juKwXoA2e0wEoR3+8WeIW9KGX/gaXj383du/A0eVp2AvQGM/vABSl6C3ouut3fvpOd6/oBeAYnugBKNC9IXDmAXx0/QaXBPDq7g1i+p5Tnje7V/QCNMMzPgBlKnEIXGX9zkzfm917YfQGuhegMZ73AShZWUPgE+o3ODOA++k7f+T7z/95d3Ao0QvAU14AACjcvSFwhgFcU/2uG/me0L2iF4A7vBIAUL57ARzk1sAxgA+t3+DoAJ4z8s2ke0UvAC95SQCgFkUMgUuv3zkj3/Elvoemr2EvAPN4YQCgIvkPgc9Zfg6OCOCHI98zu1f0ArCQVwgAqtMPv9wCuND6XTHyPbl7RS8Aj3ipAKBG94bAlwdwifW7dOR7UPca9gKwjRcMAOqV4RD4tPoNtgfww5HvCavOoheAnXjlAKBquQ2BC6rf6ZHv0d0regHYm5cQABpwcwh8SQCfWb/BugBeOvI9oXtFLwCbeS0BoA35DIFjAGdbv4tGvjt2r2EvAAfzigJAMzIJ4DPrN5gfwNMj34O6V/QCcJav6/4JANULQdVvqve9rzsYX8LaoIn0DZ+fI9I3dO84fePXSPoCcACvLgC059oh8MmX/gbT49/p7h3Y3r2GvQBcxCsNAK3qN+GZAZxV/c5P343dK3oBuJqXHAAadnMIfHQAZ1K/53Sv6AUgG157AGjeyUPg8+s3GATwvfQ9untFLwDX8SIEAOcOga+t35ndG6xLX8NeAHLlpQgAXjg/gM+s3yD8BW+m7y7dK3oByJ7XJADoOaeBz6/fX/mV7iDacdXZhjMAhfDiBABPnRDAJ9fvzfTd2L2GvQCUxksUANzSb+DdA/i0S3/ndG8wP31FLwDF8loFAHccNwQ+p37H6bu6e0UvAOXzogUAk44YAh9dv0d3r+gFoEBevQDgkfEQeGMAH1e/4T91fGPnFZf4GvYCUB2vYQAwz45D4H3rN/2Hbe9e0QtAvbyYAcBsew2BN9bv4D8jGqTvuGOn09eGMwC186oGAEuMAzhY0cAxgOfX783iTfrpu6h7DXsBaIbXNgBYbvsQeE79ThdvND3yvde9oheA9niRA4BVNgbwveXnOcWbTIx8b3av6AWgYV7tAGCDfqwu2oLu1++i4o0mRr7zu1f0AtASL3sAsM26IXCq3x//8e5gvvkjX8NeAHjJix8A7GEwBH4YwOvqd+bIV/QCwIhXQQDYyaIh8Ir6vTfyfdi9ohcA1C8A7Gl+AC+q33sj39S9hr0A8IgXRQDY26CBf+qnuoOBGMAP6/fmyDd2r+gFgNm8OgLAAeYMgR/W772R7+uvdwcDohcA7vu67p8AwI5CiPZb9H3ve/bBD3bHMw1GvjF9Q/eO0zf+u6QvAEzySgkAR5rYgr536e945GvYCwCbmf0CwJEGU9lQvNND4EH6Boa9AAAAFOPdd598/ORPvjr+sR97/pF+e+8DAAAAyjAI2vjxMH0BgM0sTQHAuebXrN1mANiPl1UAON10AIteADiA11cAuMiggUUvAAAA1XJZLwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQJWePfv/ATl1xt91Q5DyAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_convex_hull(V)\r\n  T = V;\r\nend","test_suite":"%% Point set #1\r\nV = [0.7253   -0.3789    0.5520\r\n     0.4471   -0.3044    0.8245\r\n     0.8241    0.6916    0.2092\r\n    -0.7553   -0.5126    0.2692\r\n    -0.2179   -0.8765   -0.3024\r\n    -0.0984    0.3260    0.8808\r\n    -0.9354   -0.0462    0.2274\r\n     0.2122   -0.6391    0.6226\r\n    -0.0248   -0.1993   -0.8833\r\n     0.0772    0.9644   -0.2436\r\n    -0.1098   -0.0333   -0.9851\r\n    -0.6662    0.0466    0.7499\r\n    -0.6866    0.5290   -0.5468\r\n     0.0357    0.0086   -0.9728\r\n     0.0829   -0.2777   -1.0373\r\n    -0.3445    0.5795    0.6257];\r\n\r\nT_correct = [1     2     8;\r\n             1     3     2;\r\n             1     5    15;\r\n             1     8     5;\r\n             1    15     3;\r\n             2     3     6;\r\n             2     6    12;\r\n             2    12     8;\r\n             3    10    16;\r\n             3    14    10;\r\n             3    15    14;\r\n             3    16     6;\r\n             4     5     8;\r\n             4     7    13;\r\n             4     8    12;\r\n             4    12     7;\r\n             4    13     5;\r\n             5    11    15;\r\n             5    13    11;\r\n             6    16    12;\r\n             7    12    16;\r\n             7    16    13;\r\n             10    13    16;\r\n             10    14    13;\r\n             11    13    14;\r\n             11    14    15];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Point set #2\r\nV = [-0.0775   -0.4239    0.9421;\r\n    -0.8154    0.0299   -0.4279;\r\n     0.6777   -0.4686   -0.6602;\r\n    -0.2960   -0.8871    0.5367;\r\n    -0.0034   -0.0899    0.9352;\r\n     0.8245   -0.5624    0.0630;\r\n     0.6048   -0.7364   -0.3692;\r\n     0.4215    0.9403   -0.2533;\r\n     0.3255    0.0593   -0.8884;\r\n     0.4979   -0.0671    0.8623;\r\n    -1.0254    0.1883   -0.0015;\r\n     0.7398    0.2020   -0.4934;\r\n     0.7488    0.5209   -0.0621;\r\n    -0.0994   -0.5682   -0.8936;\r\n    -0.8099   -0.0951   -0.4470;\r\n     0.3038   -0.9284   -0.4938];\r\n\r\nT_correct = [1     4     6;\r\n             1     5    11;\r\n             1     6    10;\r\n             1    10     5;\r\n             1    11     4;\r\n             2     8     9;\r\n             2     9    14;\r\n             2    11     8;\r\n             2    14    15;\r\n             2    15    11;\r\n             3     6     7;\r\n             3     7    16;\r\n             3     9    12;\r\n             3    12     6;\r\n             3    14     9;\r\n             3    16    14;\r\n             4    11    15;\r\n             4    14    16;\r\n             4    15    14;\r\n             4    16     6;\r\n             5     8    11;\r\n             5    10     8;\r\n             6    12    13;\r\n             6    13    10;\r\n             6    16     7;\r\n             8    10    13;\r\n             8    12     9;\r\n             8    13    12];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_convex_hull.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:10:16.000Z","updated_at":"2026-02-13T17:40:03.000Z","published_at":"2025-07-24T18:00:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"336\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"448\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"no_progress_badge":{"id":53,"name":"Unknown","symbol":"unknown","description":"Partially completed groups","description_html":null,"image_location":"/images/responsive/supporting/matlabcentral/cody/badges/problem_groups_unknown_2.png","bonus":null,"players_count":0,"active":false,"created_by":null,"updated_by":null,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"created_at":"2018-01-10T23:20:29.000Z","updated_at":"2018-01-10T23:20:29.000Z","community_badge_id":null,"award_multiples":false}}