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polyhedrons_archimede.jscad
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polyhedrons_archimede.jscad
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// title : Semi-regular polyhedrons Library (Archimedean solids)
// author : Gilbert Duval
// license : MIT License
// revision : 0.001
// tags : polyhedron archimede
// file : polyhedrons_archimede.jscad
// Data from dmccooey.com/polyhedra
// Library to include with : include("polyhedrons_archimede.jscad");
// Instanciate before use : polyh2();
polyh2 = function() {
polyh2.truncated_tetrahedron = function() {
// http://dmccooey.com/polyhedra/TruncatedTetrahedron.html
var C0, C1, vertices, faces;
C0 = sqrt(2) / 4;
C1 = 3 * C0;
vertices = [
[C0, -C0, C1],
[C0, C0, -C1],
[-C0, C0, C1],
[-C0, -C0, -C1],
[C1, -C0, C0],
[C1, C0, -C0],
[-C1, C0, C0],
[-C1, -C0, -C0],
[C0, -C1, C0],
[C0, C1, -C0],
[-C0, C1, C0],
[-C0, -C1, -C0]
];
faces= [
[0, 4, 5, 9, 10, 2],
[1, 5, 4, 8, 11, 3],
[2, 6, 7, 11, 8, 0],
[3, 7, 6, 10, 9, 1],
[0, 8, 4],
[1, 9, 5],
[2, 10, 6],
[3, 11, 7]
];
return polyhedron({points: vertices, polygons: faces});
}
polyh2.cuboctahedron = function() {
// http://dmccooey.com/polyhedra/Cuboctahedron.html
var C0, vertices, faces;
C0 = sqrt(2) / 2;
vertices = [
[C0, 0, C0],[C0, 0, -C0],[-C0, 0, C0],[-C0, 0, -C0],
[C0, C0, 0],[C0, -C0, 0],[-C0, C0, 0],[-C0, -C0, 0],
[0, C0, C0],[0, C0, -C0],[0, -C0, C0],[0, -C0, -C0]
];
faces = [
[0,5,1,4],[0,8,2,10],[7,2,6,3],[7, 11,5,10],[9,1,11,3],[9,6,8,4],
[0,4,8],[1,5,11],[2,7,10],[3,6,9],[4,1,9],[5,0,10],[6,2,8],[7,3,11]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.truncated_octahedron = function() {
// http://dmccooey.com/polyhedra/TruncatedOctahedron.html
var C1, C0, vertices, faces;
C1 = sqrt(2);
C0 = C1 / 2;
vertices = [
[ C0, 0.0, C1],
[ C0, 0.0, -C1],
[-C0, 0.0, C1],
[-C0, 0.0, -C1],
[ C1, C0, 0.0],
[ C1, -C0, 0.0],
[-C1, C0, 0.0],
[-C1, -C0, 0.0],
[0.0, C1, C0],
[0.0, C1, -C0],
[0.0, -C1, C0],
[0.0, -C1, -C0],
[0.0, C0, C1],
[0.0, C0, -C1],
[0.0, -C0, C1],
[0.0, -C0, -C1],
[ C1, 0.0, C0],
[ C1, 0.0, -C0],
[-C1, 0.0, C0],
[-C1, 0.0, -C0],
[ C0, C1, 0.0],
[ C0, -C1, 0.0],
[-C0, C1, 0.0],
[-C0, -C1, 0.0]
];
faces = [
[ 0, 14, 10, 21, 5, 16 ],
[ 1, 13, 9, 20, 4, 17 ],
[ 2, 12, 8, 22, 6, 18 ],
[ 3, 15, 11, 23, 7, 19 ],
[ 4, 20, 8, 12, 0, 16 ],
[ 5, 21, 11, 15, 1, 17 ],
[ 7, 23, 10, 14, 2, 18 ],
[ 6, 22, 9, 13, 3, 19 ],
[ 0, 12, 2, 14 ],
[ 1, 15, 3, 13 ],
[ 4, 16, 5, 17 ],
[ 6, 19, 7, 18 ],
[ 8, 20, 9, 22 ],
[ 10, 23, 11, 21 ]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.truncated_cube = function() {
// http://dmccooey.com/polyhedra/TruncatedCube.html
var C0, vertices, faces;
C0 = (1 + sqrt(2)) / 2;
vertices = [
[C0, 0.5, C0],
[C0, 0.5, -C0],
[C0, -0.5, C0],
[C0, -0.5, -C0],
[-C0, 0.5, C0],
[-C0, 0.5, -C0],
[-C0, -0.5, C0],
[-C0, -0.5, -C0],
[C0, C0, 0.5],
[C0, C0, -0.5],
[C0, -C0, 0.5],
[C0, -C0, -0.5],
[-C0, C0, 0.5],
[-C0, C0, -0.5],
[-C0, -C0, 0.5],
[-C0, -C0, -0.5],
[0.5, C0, C0],
[0.5, C0, -C0],
[0.5, -C0, C0],
[0.5, -C0, -C0],
[-0.5, C0, C0],
[-0.5, C0, -C0],
[-0.5, -C0, C0],
[-0.5, -C0, -C0]
];
faces = [
[0, 2, 10, 11, 3, 1, 9, 8],
[0, 16, 20, 4, 6, 22, 18, 2],
[12, 13, 5, 7, 15, 14, 6, 4],
[12, 20, 16, 8, 9, 17, 21, 13],
[19, 23, 7, 5, 21, 17, 1, 3],
[19, 11, 10, 18, 22, 14, 15, 23],
[0, 8, 16],
[1, 17, 9],
[2, 18, 10],
[3, 11, 19],
[4, 20, 12],
[5, 13, 21],
[6, 14, 22],
[7, 23, 15]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.rhombicuboctahedron = function() {
// http://dmccooey.com/polyhedra/Rhombicuboctahedron.html
var C0, vertices, faces;
C0 = (1 + sqrt(2)) / 2;
vertices = [
[ 0.5, 0.5, C0],
[ 0.5, 0.5, -C0],
[ 0.5, -0.5, C0],
[ 0.5, -0.5, -C0],
[-0.5, 0.5, C0],
[-0.5, 0.5, -C0],
[-0.5, -0.5, C0],
[-0.5, -0.5, -C0],
[ C0, 0.5, 0.5],
[ C0, 0.5, -0.5],
[ C0, -0.5, 0.5],
[ C0, -0.5, -0.5],
[ -C0, 0.5, 0.5],
[ -C0, 0.5, -0.5],
[ -C0, -0.5, 0.5],
[ -C0, -0.5, -0.5],
[ 0.5, C0, 0.5],
[ 0.5, C0, -0.5],
[ 0.5, -C0, 0.5],
[ 0.5, -C0, -0.5],
[-0.5, C0, 0.5],
[-0.5, C0, -0.5],
[-0.5, -C0, 0.5],
[-0.5, -C0, -0.5]
];
faces = [
[ 0, 4, 6, 2 ],
[ 1, 3, 7, 5 ],
[ 8, 10, 11, 9 ],
[ 12, 13, 15, 14 ],
[ 16, 17, 21, 20 ],
[ 18, 22, 23, 19 ],
[ 0, 2, 10, 8 ],
[ 0, 16, 20, 4 ],
[ 7, 3, 19, 23 ],
[ 7, 15, 13, 5 ],
[ 11, 3, 1, 9 ],
[ 11, 10, 18, 19 ],
[ 12, 14, 6, 4 ],
[ 12, 20, 21, 13 ],
[ 17, 1, 5, 21 ],
[ 17, 16, 8, 9 ],
[ 22, 14, 15, 23 ],
[ 22, 18, 2, 6 ],
[ 0, 8, 16 ],
[ 1, 17, 9 ],
[ 2, 18, 10 ],
[ 3, 11, 19 ],
[ 4, 20, 12 ],
[ 5, 13, 21 ],
[ 6, 14, 22 ],
[ 7, 23, 15 ]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.snub_cube_laevo = function() {
// http://dmccooey.com/polyhedra/LsnubCube.html
var C0, C1, C2, vertices, faces;
C0 = sqrt(3 * (4 - Math.cbrt(17 + 3* sqrt(33)) - Math.cbrt(17 - 3* sqrt(33)))) / 6;
C1 = sqrt(3 * (2 + Math.cbrt(17 + 3* sqrt(33)) + Math.cbrt(17 - 3* sqrt(33)))) / 6;
C2 = sqrt(3 * (4 + Math.cbrt(199 + 3* sqrt(33)) + Math.cbrt(199 - 3* sqrt(33)))) / 6;
vertices =[
[ C1, C0, C2],
[ C1, -C0, -C2],
[-C1, -C0, C2],
[-C1, C0, -C2],
[ C2, C1, C0],
[ C2, -C1, -C0],
[-C2, -C1, C0],
[-C2, C1, -C0],
[ C0, C2, C1],
[ C0, -C2, -C1],
[-C0, -C2, C1],
[-C0, C2, -C1],
[ C0, -C1, C2],
[ C0, C1, -C2],
[-C0, C1, C2],
[-C0, -C1, -C2],
[ C2, -C0, C1],
[ C2, C0, -C1],
[-C2, C0, C1],
[-C2, -C0, -C1],
[ C1, -C2, C0],
[ C1, C2, -C0],
[-C1, C2, C0],
[-C1, -C2, -C0]
];
faces = [
[ 2, 12, 0, 14],
[ 3, 13, 1, 15],
[ 4, 16, 5, 17],
[ 7, 19, 6, 18],
[ 8, 21, 11, 22],
[ 9, 20, 10, 23],
[ 0, 8, 14],
[ 1, 9, 15],
[ 2, 10, 12],
[ 3, 11, 13],
[ 4, 0, 16],
[ 5, 1, 17],
[ 6, 2, 18],
[ 7, 3, 19],
[ 8, 4, 21],
[ 9, 5, 20],
[10, 6, 23],
[11, 7, 22],
[12, 16, 0],
[13, 17, 1],
[14, 18, 2],
[15, 19, 3],
[16, 20, 5],
[17, 21, 4],
[18, 22, 7],
[19, 23, 6],
[20, 12, 10],
[21, 13, 11],
[22, 14, 8],
[23, 15, 9],
[ 8, 0, 4],
[ 9, 1, 5],
[10, 2, 6],
[11, 3, 7],
[12, 20, 16],
[13, 21, 17],
[14, 22, 18],
[15, 23, 19]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.snub_cube_dextro = function() {
// http://dmccooey.com/polyhedra/LsnubCube.html
var C0, C1, C2, vertices, faces;
C0 = sqrt(3 * (4 - Math.cbrt(17 + 3* sqrt(33)) - Math.cbrt(17 - 3* sqrt(33)))) / 6;
C1 = sqrt(3 * (2 + Math.cbrt(17 + 3* sqrt(33)) + Math.cbrt(17 - 3* sqrt(33)))) / 6;
C2 = sqrt(3 * (4 + Math.cbrt(199 + 3* sqrt(33)) + Math.cbrt(199 - 3* sqrt(33)))) / 6;
vertices = [
[ C1, -C0, C2],
[ C1, C0, -C2],
[-C1, C0, C2],
[-C1, -C0, -C2],
[ C2, -C1, C0],
[ C2, C1, -C0],
[-C2, C1, C0],
[-C2, -C1, -C0],
[ C0, -C2, C1],
[ C0, C2, -C1],
[-C0, C2, C1],
[-C0, -C2, -C1],
[ C0, C1, C2],
[ C0, -C1, -C2],
[-C0, -C1, C2],
[-C0, C1, -C2],
[ C2, C0, C1],
[ C2, -C0, -C1],
[-C2, -C0, C1],
[-C2, C0, -C1],
[ C1, C2, C0],
[ C1, -C2, -C0],
[-C1, -C2, C0],
[-C1, C2, -C0]
];
faces = [
[ 2, 14, 0, 12],
[ 3, 15, 1, 13],
[ 4, 17, 5, 16],
[ 7, 18, 6, 19],
[ 8, 22, 11, 21],
[ 9, 23, 10, 20],
[ 0, 14, 8],
[ 1, 15, 9],
[ 2, 12, 10],
[ 3, 13, 11],
[ 4, 16, 0],
[ 5, 17, 1],
[ 6, 18, 2],
[ 7, 19, 3],
[ 8, 21, 4],
[ 9, 20, 5],
[10, 23, 6],
[11, 22, 7],
[12, 0, 16],
[13, 1, 17],
[14, 2, 18],
[15, 3, 19],
[16, 5, 20],
[17, 4, 21],
[18, 7, 22],
[19, 6, 23],
[20, 10, 12],
[21, 11, 13],
[22, 8, 14],
[23, 9, 15],
[ 8, 4, 0],
[ 9, 5, 1],
[10, 6, 2],
[11, 7, 3],
[12, 16, 20],
[13, 17, 21],
[14, 18, 22],
[15, 19, 23]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.icosidodecahedron = function() {
// http://dmccooey.com/polyhedra/Icosidodecahedron.html
var C0, C1, C2, vertices, faces;
C0 = (1 + sqrt(5)) / 4;
C1 = (3 + sqrt(5)) / 4;
C2 = (1 + sqrt(5)) / 2;
vertices = [
[ 0.0, 0.0, C2],
[ 0.0, 0.0, -C2],
[ C2, 0.0, 0.0],
[ -C2, 0.0, 0.0],
[ 0.0, C2, 0.0],
[ 0.0, -C2, 0.0],
[ 0.5, C0, C1],
[ 0.5, C0, -C1],
[ 0.5, -C0, C1],
[ 0.5, -C0, -C1],
[-0.5, C0, C1],
[-0.5, C0, -C1],
[-0.5, -C0, C1],
[-0.5, -C0, -C1],
[ C1, 0.5, C0],
[ C1, 0.5, -C0],
[ C1, -0.5, C0],
[ C1, -0.5, -C0],
[ -C1, 0.5, C0],
[ -C1, 0.5, -C0],
[ -C1, -0.5, C0],
[ -C1, -0.5, -C0],
[ C0, C1, 0.5],
[ C0, C1, -0.5],
[ C0, -C1, 0.5],
[ C0, -C1, -0.5],
[ -C0, C1, 0.5],
[ -C0, C1, -0.5],
[ -C0, -C1, 0.5],
[ -C0, -C1, -0.5]
];
faces = [
[ 0, 8, 16, 14, 6],
[ 0, 10, 18, 20, 12],
[ 1, 7, 15, 17, 9],
[ 1, 13, 21, 19, 11],
[ 2, 15, 23, 22, 14],
[ 2, 16, 24, 25, 17],
[ 3, 18, 26, 27, 19],
[ 3, 21, 29, 28, 20],
[ 4, 23, 7, 11, 27],
[ 4, 26, 10, 6, 22],
[ 5, 24, 8, 12, 28],
[ 5, 29, 13, 9, 25],
[ 0, 6, 10],
[ 0, 12, 8],
[ 1, 9, 13],
[ 1, 11, 7],
[ 2, 14, 16],
[ 2, 17, 15],
[ 3, 19, 21],
[ 3, 20, 18],
[ 4, 22, 23],
[ 4, 27, 26],
[ 5, 25, 24],
[ 5, 28, 29],
[ 6, 14, 22],
[ 7, 23, 15],
[ 8, 24, 16],
[ 9, 17, 25],
[10, 26, 18],
[11, 19, 27],
[12, 20, 28],
[13, 29, 21]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.truncated_cuboctahedron = function() {
// http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html
var C0, C1, vertices, faces;
C0 = (1 + sqrt(2)) / 2;
C1 = (1 + 2 * sqrt(2)) / 2;
vertices = [
[ C0, 0.5, C1],
[ C0, 0.5, -C1],
[ C0, -0.5, C1],
[ C0, -0.5, -C1],
[ -C0, 0.5, C1],
[ -C0, 0.5, -C1],
[ -C0, -0.5, C1],
[ -C0, -0.5, -C1],
[ C1, C0, 0.5],
[ C1, C0, -0.5],
[ C1, -C0, 0.5],
[ C1, -C0, -0.5],
[ -C1, C0, 0.5],
[ -C1, C0, -0.5],
[ -C1, -C0, 0.5],
[ -C1, -C0, -0.5],
[ 0.5, C1, C0],
[ 0.5, C1, -C0],
[ 0.5, -C1, C0],
[ 0.5, -C1, -C0],
[-0.5, C1, C0],
[-0.5, C1, -C0],
[-0.5, -C1, C0],
[-0.5, -C1, -C0],
[ 0.5, C0, C1],
[ 0.5, C0, -C1],
[ 0.5, -C0, C1],
[ 0.5, -C0, -C1],
[-0.5, C0, C1],
[-0.5, C0, -C1],
[-0.5, -C0, C1],
[-0.5, -C0, -C1],
[ C1, 0.5, C0],
[ C1, 0.5, -C0],
[ C1, -0.5, C0],
[ C1, -0.5, -C0],
[ -C1, 0.5, C0],
[ -C1, 0.5, -C0],
[ -C1, -0.5, C0],
[ -C1, -0.5, -C0],
[ C0, C1, 0.5],
[ C0, C1, -0.5],
[ C0, -C1, 0.5],
[ C0, -C1, -0.5],
[ -C0, C1, 0.5],
[ -C0, C1, -0.5],
[ -C0, -C1, 0.5],
[ -C0, -C1, -0.5]
];
faces = [
[ 0, 24, 28, 4, 6, 30, 26, 2],
[ 1, 3, 27, 31, 7, 5, 29, 25],
[ 8, 32, 34, 10, 11, 35, 33, 9],
[12, 13, 37, 39, 15, 14, 38, 36],
[16, 40, 41, 17, 21, 45, 44, 20],
[18, 22, 46, 47, 23, 19, 43, 42],
[ 0, 32, 8, 40, 16, 24],
[ 1, 25, 17, 41, 9, 33],
[ 2, 26, 18, 42, 10, 34],
[ 3, 35, 11, 43, 19, 27],
[ 4, 28, 20, 44, 12, 36],
[ 5, 37, 13, 45, 21, 29],
[ 6, 38, 14, 46, 22, 30],
[ 7, 31, 23, 47, 15, 39],
[ 0, 2, 34, 32],
[ 1, 33, 35, 3],
[ 4, 36, 38, 6],
[ 5, 7, 39, 37],
[ 8, 9, 41, 40],
[10, 42, 43, 11],
[12, 44, 45, 13],
[14, 15, 47, 46],
[16, 20, 28, 24],
[17, 25, 29, 21],
[18, 26, 30, 22],
[19, 23, 31, 27]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.truncated_icosahedron = function () {
// http://dmccooey.com/polyhedra/TruncatedIcosahedron.html
var C0, C1, C2, C3, C4, vertices, faces;
C0 = (1 + sqrt(5)) / 4;
C1 = (1 + sqrt(5)) / 2;
C2 = (5 + sqrt(5)) / 4;
C3 = (2 + sqrt(5)) / 2;
C4 = 3 * (1 + sqrt(5)) / 4;
vertices = [
[ 0.5, 0.0, C4],
[ 0.5, 0.0, -C4],
[-0.5, 0.0, C4],
[-0.5, 0.0, -C4],
[ C4, 0.5, 0.0],
[ C4, -0.5, 0.0],
[ -C4, 0.5, 0.0],
[ -C4, -0.5, 0.0],
[ 0.0, C4, 0.5],
[ 0.0, C4, -0.5],
[ 0.0, -C4, 0.5],
[ 0.0, -C4, -0.5],
[ 1.0, C0, C3],
[ 1.0, C0, -C3],
[ 1.0, -C0, C3],
[ 1.0, -C0, -C3],
[-1.0, C0, C3],
[-1.0, C0, -C3],
[-1.0, -C0, C3],
[-1.0, -C0, -C3],
[ C3, 1.0, C0],
[ C3, 1.0, -C0],
[ C3, -1.0, C0],
[ C3, -1.0, -C0],
[ -C3, 1.0, C0],
[ -C3, 1.0, -C0],
[ -C3, -1.0, C0],
[ -C3, -1.0, -C0],
[ C0, C3, 1.0],
[ C0, C3, -1.0],
[ C0, -C3, 1.0],
[ C0, -C3, -1.0],
[ -C0, C3, 1.0],
[ -C0, C3, -1.0],
[ -C0, -C3, 1.0],
[ -C0, -C3, -1.0],
[ 0.5, C1, C2],
[ 0.5, C1, -C2],
[ 0.5, -C1, C2],
[ 0.5, -C1, -C2],
[-0.5, C1, C2],
[-0.5, C1, -C2],
[-0.5, -C1, C2],
[-0.5, -C1, -C2],
[ C2, 0.5, C1],
[ C2, 0.5, -C1],
[ C2, -0.5, C1],
[ C2, -0.5, -C1],
[ -C2, 0.5, C1],
[ -C2, 0.5, -C1],
[ -C2, -0.5, C1],
[ -C2, -0.5, -C1],
[ C1, C2, 0.5],
[ C1, C2, -0.5],
[ C1, -C2, 0.5],
[ C1, -C2, -0.5],
[ -C1, C2, 0.5],
[ -C1, C2, -0.5],
[ -C1, -C2, 0.5],
[ -C1, -C2, -0.5]
];
faces = [
[ 0, 2, 18, 42, 38, 14],
[ 1, 3, 17, 41, 37, 13],
[ 2, 0, 12, 36, 40, 16],
[ 3, 1, 15, 39, 43, 19],
[ 4, 5, 23, 47, 45, 21],
[ 5, 4, 20, 44, 46, 22],
[ 6, 7, 26, 50, 48, 24],
[ 7, 6, 25, 49, 51, 27],
[ 8, 9, 33, 57, 56, 32],
[ 9, 8, 28, 52, 53, 29],
[10, 11, 31, 55, 54, 30],
[11, 10, 34, 58, 59, 35],
[12, 44, 20, 52, 28, 36],
[13, 37, 29, 53, 21, 45],
[14, 38, 30, 54, 22, 46],
[15, 47, 23, 55, 31, 39],
[16, 40, 32, 56, 24, 48],
[17, 49, 25, 57, 33, 41],
[18, 50, 26, 58, 34, 42],
[19, 43, 35, 59, 27, 51],
[ 0, 14, 46, 44, 12],
[ 1, 13, 45, 47, 15],
[ 2, 16, 48, 50, 18],
[ 3, 19, 51, 49, 17],
[ 4, 21, 53, 52, 20],
[ 5, 22, 54, 55, 23],
[ 6, 24, 56, 57, 25],
[ 7, 27, 59, 58, 26],
[ 8, 32, 40, 36, 28],
[ 9, 29, 37, 41, 33],
[10, 30, 38, 42, 34],
[11, 35, 43, 39, 31]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.rhombicosidodecahedron = function () {
// http://dmccooey.com/polyhedra/Rhombicosidodecahedron.html
var C0, C1, C2, C3, C4, vertices, faces;
C0 = (1 + sqrt(5)) / 4;
C1 = (3 + sqrt(5)) / 4;
C2 = (1 + sqrt(5)) / 2;
C3 = (5 + sqrt(5)) / 4;
C4 = (2 + sqrt(5)) / 2;
vertices = [
[ 0.5, 0.5, C4],
[ 0.5, 0.5, -C4],
[ 0.5, -0.5, C4],
[ 0.5, -0.5, -C4],
[-0.5, 0.5, C4],
[-0.5, 0.5, -C4],
[-0.5, -0.5, C4],
[-0.5, -0.5, -C4],
[ C4, 0.5, 0.5],
[ C4, 0.5, -0.5],
[ C4, -0.5, 0.5],
[ C4, -0.5, -0.5],
[ -C4, 0.5, 0.5],
[ -C4, 0.5, -0.5],
[ -C4, -0.5, 0.5],
[ -C4, -0.5, -0.5],
[ 0.5, C4, 0.5],
[ 0.5, C4, -0.5],
[ 0.5, -C4, 0.5],
[ 0.5, -C4, -0.5],
[-0.5, C4, 0.5],
[-0.5, C4, -0.5],
[-0.5, -C4, 0.5],
[-0.5, -C4, -0.5],
[ 0.0, C1, C3],
[ 0.0, C1, -C3],
[ 0.0, -C1, C3],
[ 0.0, -C1, -C3],
[ C3, 0.0, C1],
[ C3, 0.0, -C1],
[ -C3, 0.0, C1],
[ -C3, 0.0, -C1],
[ C1, C3, 0.0],
[ C1, -C3, 0.0],
[ -C1, C3, 0.0],
[ -C1, -C3, 0.0],
[ C1, C0, C2],
[ C1, C0, -C2],
[ C1, -C0, C2],
[ C1, -C0, -C2],
[ -C1, C0, C2],
[ -C1, C0, -C2],
[ -C1, -C0, C2],
[ -C1, -C0, -C2],
[ C2, C1, C0],
[ C2, C1, -C0],
[ C2, -C1, C0],
[ C2, -C1, -C0],
[ -C2, C1, C0],
[ -C2, C1, -C0],
[ -C2, -C1, C0],
[ -C2, -C1, -C0],
[ C0, C2, C1],
[ C0, C2, -C1],
[ C0, -C2, C1],
[ C0, -C2, -C1],
[ -C0, C2, C1],
[ -C0, C2, -C1],
[ -C0, -C2, C1],
[ -C0, -C2, -C1]
];
faces = [
[24, 52, 16, 20, 56],
[25, 57, 21, 17, 53],
[26, 58, 22, 18, 54],
[27, 55, 19, 23, 59],
[28, 36, 0, 2, 38],
[29, 39, 3, 1, 37],
[30, 42, 6, 4, 40],
[31, 41, 5, 7, 43],
[32, 44, 8, 9, 45],
[33, 47, 11, 10, 46],
[34, 49, 13, 12, 48],
[35, 50, 14, 15, 51],
[ 0, 36, 52, 24],
[ 1, 25, 53, 37],
[ 2, 26, 54, 38],
[ 3, 39, 55, 27],
[ 4, 24, 56, 40],
[ 5, 41, 57, 25],
[ 6, 42, 58, 26],
[ 7, 27, 59, 43],
[ 8, 44, 36, 28],
[ 9, 29, 37, 45],
[10, 28, 38, 46],
[11, 47, 39, 29],
[12, 30, 40, 48],
[13, 49, 41, 31],
[14, 50, 42, 30],
[15, 31, 43, 51],
[16, 52, 44, 32],
[17, 32, 45, 53],
[18, 33, 46, 54],
[19, 55, 47, 33],
[20, 34, 48, 56],
[21, 57, 49, 34],
[22, 58, 50, 35],
[23, 35, 51, 59],
[ 0, 4, 6, 2],
[ 1, 3, 7, 5],
[ 8, 10, 11, 9],
[12, 13, 15, 14],
[16, 17, 21, 20],
[18, 22, 23, 19],
[24, 4, 0],
[25, 1, 5],
[26, 2, 6],
[27, 7, 3],
[28, 10, 8],
[29, 9, 11],
[30, 12, 14],
[31, 15, 13],
[32, 17, 16],
[33, 18, 19],
[34, 20, 21],
[35, 23, 22],
[36, 44, 52],
[37, 53, 45],
[38, 54, 46],
[39, 47, 55],
[40, 56, 48],
[41, 49, 57],
[42, 50, 58],
[43, 59, 51]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.snub_dodecahedron_laevo = function (){
// http://dmccooey.com/polyhedra/LsnubDodecahedron.html
var C0, C1,C2,C3,C4,C6,C7,C8,C9,C10,C11,C12,C13,C14, vertices, faces;
C0 = 0.192893711352359022108262546061;
C1 = 0.330921024729844230963655269187;
C2 = 0.374821658114562295266609516608;
C3 = 0.567715369466921317374872062669;
C4 = 0.643029605914072573107464141441;
C5 = 0.728335176957191477360671629838;
C6 = 0.847550046789060797396217956030;
C7 = 1.103156835071753772627281146446;
C8 = 1.24950378846302719500774109632;
C9 = 1.41526541625598211477109001870;
C10 = 1.45402422933801541929649491091;
C11 = 1.64691794069037444140475745697;
C12 = 1.74618644098582634573474528789;
C13 = 1.97783896542021867236841272616;
C14 = 2.097053835252087992403959052348;
vertices = [
[ C2, -C1, C14],
[ C2, C1, -C14],
[ -C2, C1, C14],
[ -C2, -C1, -C14],
[ C14, -C2, C1],
[ C14, C2, -C1],
[-C14, C2, C1],
[-C14, -C2, -C1],
[ C1, -C14, C2],
[ C1, C14, -C2],
[ -C1, C14, C2],
[ -C1, -C14, -C2],
[ C3, C4, C13],
[ C3, -C4, -C13],
[ -C3, -C4, C13],
[ -C3, C4, -C13],
[ C13, C3, C4],
[ C13, -C3, -C4],
[-C13, -C3, C4],
[-C13, C3, -C4],
[ C4, C13, C3],
[ C4, -C13, -C3],
[ -C4, -C13, C3],
[ -C4, C13, -C3],
[ C0, -C8, C12],
[ C0, C8, -C12],
[ -C0, C8, C12],
[ -C0, -C8, -C12],
[ C12, -C0, C8],
[ C12, C0, -C8],
[-C12, C0, C8],
[-C12, -C0, -C8],
[ C8, -C12, C0],
[ C8, C12, -C0],
[ -C8, C12, C0],
[ -C8, -C12, -C0],
[ C7, -C6, C11],
[ C7, C6, -C11],
[ -C7, C6, C11],
[ -C7, -C6, -C11],
[ C11, -C7, C6],
[ C11, C7, -C6],
[-C11, C7, C6],
[-C11, -C7, -C6],
[ C6, -C11, C7],
[ C6, C11, -C7],
[ -C6, C11, C7],
[ -C6, -C11, -C7],
[ C9, C5, C10],
[ C9, -C5, -C10],
[ -C9, -C5, C10],
[ -C9, C5, -C10],
[ C10, C9, C5],
[ C10, -C9, -C5],
[-C10, -C9, C5],
[-C10, C9, -C5],
[ C5, C10, C9],
[ C5, -C10, -C9],
[ -C5, -C10, C9],
[ -C5, C10, -C9]
];
faces = [
[ 0, 36, 28, 48, 12],
[ 1, 37, 29, 49, 13],
[ 2, 38, 30, 50, 14],
[ 3, 39, 31, 51, 15],
[ 4, 40, 32, 53, 17],
[ 5, 41, 33, 52, 16],
[ 6, 42, 34, 55, 19],
[ 7, 43, 35, 54, 18],
[ 8, 44, 24, 58, 22],
[ 9, 45, 25, 59, 23],
[10, 46, 26, 56, 20],
[11, 47, 27, 57, 21],
[ 0, 2, 14],
[ 1, 3, 15],
[ 2, 0, 12],
[ 3, 1, 13],
[ 4, 5, 16],
[ 5, 4, 17],
[ 6, 7, 18],
[ 7, 6, 19],
[ 8, 11, 21],
[ 9, 10, 20],
[10, 9, 23],
[11, 8, 22],
[12, 48, 56],
[13, 49, 57],
[14, 50, 58],
[15, 51, 59],
[16, 52, 48],
[17, 53, 49],
[18, 54, 50],
[19, 55, 51],
[20, 56, 52],
[21, 57, 53],
[22, 58, 54],
[23, 59, 55],
[24, 44, 36],
[25, 45, 37],
[26, 46, 38],
[27, 47, 39],
[28, 36, 40],
[29, 37, 41],
[30, 38, 42],
[31, 39, 43],
[32, 40, 44],
[33, 41, 45],
[34, 42, 46],
[35, 43, 47],
[36, 0, 24],
[37, 1, 25],
[38, 2, 26],
[39, 3, 27],
[40, 4, 28],
[41, 5, 29],
[42, 6, 30],
[43, 7, 31],
[44, 8, 32],
[45, 9, 33],
[46, 10, 34],
[47, 11, 35],
[48, 28, 16],
[49, 29, 17],
[50, 30, 18],
[51, 31, 19],
[52, 33, 20],
[53, 32, 21],
[54, 35, 22],
[55, 34, 23],
[56, 26, 12],
[57, 27, 13],
[58, 24, 14],
[59, 25, 15],
[24, 0, 14],
[25, 1, 15],
[26, 2, 12],
[27, 3, 13],
[28, 4, 16],
[29, 5, 17],
[30, 6, 18],
[31, 7, 19],
[32, 8, 21],
[33, 9, 20],
[34, 10, 23],
[35, 11, 22],
[36, 44, 40],
[37, 45, 41],
[38, 46, 42],
[39, 47, 43],
[48, 52, 56],
[49, 53, 57],
[50, 54, 58],
[51, 55, 59]
];
return polyhedron({points:vertices, polygons:faces});
}
polyh2.snub_dodecahedron_dextro = function (){
// http://dmccooey.com/polyhedra/RsnubDodecahedron.html