Acronym | tetike |
Name | tetrahedron-icosahedron duoprism |
Circumradius | sqrt[sqrt(5)/8+1] = 1.131154 |
Face vector | 48, 192, 308, 256, 116, 24 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o x3o5o . . . . . . | 48 | 3 5 | 3 15 5 | 1 15 15 1 | 5 15 3 | 5 3 ------------+----+--------+-----------+--------------+---------+----- x . . . . . | 2 | 72 * | 2 5 0 | 1 10 5 0 | 5 10 1 | 5 2 . . . x . . | 2 | * 120 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------+----+--------+-----------+--------------+---------+----- x3o . . . . | 3 | 3 0 | 48 * * | 1 5 0 0 | 5 5 0 | 5 1 x . . x . . | 4 | 2 2 | * 180 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 80 | 0 0 3 1 | 0 3 3 | 1 3 ------------+----+--------+-----------+--------------+---------+----- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 | 12 * * * | 5 0 0 | 5 0 x3o . x . . ♦ 6 | 6 3 | 2 3 0 | * 120 * * | 1 2 0 | 2 1 x . . x3o . ♦ 6 | 3 6 | 0 3 2 | * * 120 * | 0 2 1 | 1 2 . . . x3o5o ♦ 12 | 0 30 | 0 0 20 | * * * 4 | 0 0 3 | 0 3 ------------+----+--------+-----------+--------------+---------+----- x3o3o x . . ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | 30 * * | 2 0 x3o . x3o . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 80 * | 1 1 x . . x3o5o ♦ 24 | 12 60 | 0 30 40 | 0 0 20 2 | * * 6 | 0 2 ------------+----+--------+-----------+--------------+---------+----- x3o3o x3o . ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 | 3 4 0 | 20 * x3o . x3o5o ♦ 36 | 36 90 | 12 90 60 | 0 30 60 3 | 0 20 3 | * 4
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