Acronym | tetdoe |
Name | tetrahedron-dodecahedron duoprism |
Circumradius | sqrt[(12+3 sqrt(5))/8] = 1.529224 |
Face vector | 80, 240, 308, 216, 84, 16 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o o3o5x . . . . . . | 80 | 3 3 | 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 ------------+----+---------+-----------+-------------+---------+----- x . . . . . | 2 | 120 * | 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . . . x | 2 | * 120 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------+----+---------+-----------+-------------+---------+----- x3o . . . . | 3 | 3 0 | 80 * * | 1 3 0 0 | 3 3 0 | 3 1 x . . . . x | 4 | 2 2 | * 180 * | 0 2 2 0 | 1 4 1 | 2 2 . . . . o5x | 5 | 0 5 | * * 48 | 0 0 3 1 | 0 3 3 | 1 3 ------------+----+---------+-----------+-------------+---------+----- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 | 20 * * * | 3 0 0 | 3 0 x3o . . . x ♦ 6 | 6 3 | 2 3 0 | * 120 * * | 1 2 0 | 2 1 x . . . o5x ♦ 10 | 5 10 | 0 5 2 | * * 72 * | 0 2 1 | 1 2 . . . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * * 4 | 0 0 3 | 0 3 ------------+----+---------+-----------+-------------+---------+----- x3o3o . . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | 30 * * | 2 0 x3o . . o5x ♦ 15 | 15 15 | 5 15 3 | 0 5 3 0 | * 48 * | 1 1 x . . o3o5x ♦ 40 | 20 60 | 0 30 24 | 0 0 12 2 | * * 6 | 0 2 ------------+----+---------+-----------+-------------+---------+----- x3o3o . o5x ♦ 20 | 30 20 | 20 30 4 | 5 20 6 0 | 5 4 0 | 12 * x3o . o3o5x ♦ 60 | 60 90 | 20 90 36 | 0 30 36 3 | 0 12 3 | * 4
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