Acronym | tetid |
Name | tetrahedron-icosidodecahedron duoprism |
Circumradius | sqrt[(15+4 sqrt(5))/8] = 1.730039 |
Face vector | 120, 420, 608, 466, 194, 36 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o o3x5o . . . . . . | 120 | 3 4 | 3 12 2 2 | 1 12 6 6 1 | 4 6 6 3 | 2 2 3 ------------+-----+---------+---------------+-----------------+------------+-------- x . . . . . | 2 | 180 * | 2 4 0 0 | 1 8 2 2 0 | 4 4 4 1 | 2 2 2 . . . . x . | 2 | * 240 | 0 3 1 1 | 0 3 3 3 1 | 1 3 3 3 | 1 1 3 ------------+-----+---------+---------------+-----------------+------------+-------- x3o . . . . | 3 | 3 0 | 120 * * * | 1 4 0 0 0 | 4 2 2 0 | 2 2 1 x . . . x . | 4 | 2 2 | * 360 * * | 0 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3x . | 3 | 0 3 | * * 80 * | 0 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . . x5o | 5 | 0 5 | * * * 48 | 0 0 0 3 1 | 0 0 3 3 | 0 1 3 ------------+-----+---------+---------------+-----------------+------------+-------- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 0 | 30 * * * * | 4 0 0 0 | 2 2 0 x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 240 * * * | 1 1 1 0 | 1 1 1 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 120 * * | 0 2 0 1 | 1 0 2 x . . . x5o ♦ 10 | 5 10 | 0 5 0 2 | * * * 72 * | 0 0 2 1 | 0 1 2 . . . o3x5o ♦ 30 | 0 60 | 0 0 20 12 | * * * * 4 | 0 0 0 3 | 0 0 3 ------------+-----+---------+---------------+-----------------+------------+-------- x3o3o . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 | 60 * * * | 1 1 0 x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 | * 80 * * | 1 0 1 x3o . . x5o ♦ 15 | 15 15 | 5 15 0 3 | 0 5 0 3 0 | * * 48 * | 0 1 1 x . . o3x5o ♦ 60 | 30 120 | 0 60 40 24 | 0 0 20 12 2 | * * * 6 | 0 0 2 ------------+-----+---------+---------------+-----------------+------------+-------- x3o3o o3x . ♦ 12 | 18 12 | 12 18 4 0 | 3 12 6 0 0 | 3 4 0 0 | 20 * * x3o3o . x5o ♦ 20 | 30 20 | 20 30 0 4 | 5 20 0 6 0 | 5 0 4 0 | * 12 * x3o . o3x5o ♦ 90 | 90 180 | 30 180 60 36 | 0 60 60 36 3 | 0 20 12 3 | * * 4
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