Description of dodecahedron

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dodecahedron

PURPOSE

dodecahedron(g) --- overwrite g with the dodecahedron graph

SYNOPSIS

function dodecahedron(g)

DESCRIPTION

 dodecahedron(g) --- overwrite g with the dodecahedron graph

CROSS-REFERENCE INFORMATION

This function calls:

• add add --- add edge(s) to the graph
• clear_edges clear_edges(g) --- delete all edges of g
• embed embed --- create an embedding for a graph
• full full(g) --- convert internal storage for g to full
• resize resize(g,n) --- change the number of vertices in g to n

This function is called by:

SOURCE CODE

0001 function dodecahedron(g)
0002 % dodecahedron(g) --- overwrite g with the dodecahedron graph
0003 
0004 resize(g,20)
0005 clear_edges(g)
0006 full(g)
0007 
0008 elist = [
0009     1   2
0010     1   5
0011     1   6
0012     2   3
0013     2   7
0014     3   4
0015     3   8
0016     4   5
0017     4   9
0018     5   10
0019     6   11
0020     6   15
0021     7   11
0022     7   12
0023     8   12
0024     8   13
0025     9   13
0026     9   14
0027     10  14
0028     10  15
0029     11  16
0030     12  17
0031     13  18
0032     14  19
0033     15  20
0034     16  17
0035     16  20
0036     17  18
0037     18  19
0038     19  20
0039     ];
0040 
0041 add(g,elist);
0042 
0043 t0 = 0;
0044 t1 = -2*pi/5;
0045 t2 = 2*t1;
0046 t3 = 3*t1;
0047 t4 = 4*t1;
0048 
0049 ring1 = [
0050     sin(t0)     cos(t0)
0051     sin(t1)     cos(t1)
0052     sin(t2)     cos(t2)
0053     sin(t3)     cos(t3)
0054     sin(t4)     cos(t4)
0055     ];
0056 
0057 ring2 = ring1 * [cos(t1/2),-sin(t1/2);sin(t1/2),cos(t1/2)];
0058 
0059 xy = [
0060     4*ring1;
0061     3*ring1;
0062     2*ring2;
0063     ring2
0064     ];
0065 
0066 embed(g,xy)

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