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Reuleaux triangle and friends

version 1.0.0.0 (10.3 KB) by Matthew Roughan
A Reuleaux triangle is a shape of constant width based on an equilateral triangle.

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Updated 05 Apr 2011

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A Reuleaux triangle is a shape of constant width based on an equilateral triangle. Its not actually a triangle, but it has some interesting properties. Formost, constant width means that in principle it would make just as good a cross-section for a roller as a circle (though not for a wheel).

There are many other shapes with constant width, and this code allows you to generate
- extended Reuleaux triangles
- Reuleaux polygons

The code also comes with a couple of scripts for manipulating them. The most obvious allows you to see what happens when it is rolled. The second shows how a Reuleaux triangle can be used as a cross section to drill almost square holes.

There are lots of comments, and references in the code, and a test script to show you how to call the functions.

Cite As

Matthew Roughan (2020). Reuleaux triangle and friends (https://www.mathworks.com/matlabcentral/fileexchange/30967-reuleaux-triangle-and-friends), MATLAB Central File Exchange. Retrieved .

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MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux