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CODE:
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%truncated icosahedron 5¡¤6²: 12 pentagons, 20 hexagons
c = 1; t = c/3; p = c*(sqrt(5)-1)/2;
d = p/3; v = (c+2*p)/3; m = (2*c+p)/3;
V = [d 0 c; 2*d t m; v d c-t; v -d c-t; 2*d -t m; d 0 -c; 2*d t -m; v d t-c; v -d t-c;
2*d -t -m; -d 0 c; -2*d t m; -v d c-t; -v -d c-t; -2*d -t m; -d 0 -c; -2*d t -m; -v d t-c;
-v -d t-c; -2*d -t -m; -t m 2*d; -d c-t v; d c-t v; t m 2*d; 0 c d; -t m -2*d; -d c-t -v;
d c-t -v; t m -2*d; 0 c -d; -t -m 2*d; -d t-c v; d t-c v; t -m 2*d; 0 -c d; -t -m -2*d;
-d t-c -v; d t-c -v; t -m -2*d; 0 -c -d; c-t v d; m 2*d t; c d 0; m 2*d -t; c-t v -d; t-c v d;
-m 2*d t; -c d 0; -m 2*d -t; t-c v -d; c-t -v d; m -2*d t; c -d 0; m -2*d -t; c-t -v -d;
t-c -v d; -m -2*d t; -c -d 0; -m -2*d -t; t-c -v -d];
F5 = [ ]; j = 1 : 5;
for i = 1 : 12;
    F5 = [F5; 5*(i-1)+j];
end;
F6 = [11 12 22 23 2 1; 5 33 32 15 11 1; 23 24 41 42 3 2; 42 43 53 52 4 3;
    52 51 34 33 5 4; 51 55 39 40 35 34; 60 56 31 35 40 36; 56 57 14 15 32 31;
    14 57 58 48 47 13; 12 13 47 46 21 22; 21 46 50 26 30 25; 24 25 30 29 45 41;
    28 7 8 44 45 29; 44 8 9 54 53 43; 9 10 38 39 55 54; 10 6 16 20 37 38;
    36 37 20 19 59 60; 58 59 19 18 49 48; 50 49 18 17 27 26; 28 27 17 16 6 7];
hold on; axis equal; view(3)
patch('Vertices', V, 'Faces', F5, 'FaceColor', [0 1 1]);
patch('Vertices', V, 'Faces', F6, 'FaceColor', [0 .5 1]);

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