Acronym | tratratet |
Name |
triangle-triangle-tetrahedron-triprism, vertex figure of Gosset polytope 03,2,2 |
Circumradius | 5/sqrt(24) = 1.020621 |
Volume | 3 sqrt(6)/64 = 0.114820 |
Face vector | 36, 126, 204, 195, 118, 45, 10 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o x3o x3o3o . . . . . . . | 36 | 4 3 | 2 4 12 3 | 4 6 12 12 1 | 1 12 6 12 4 | 3 12 2 4 | 3 4 -----------------+----+-------+--------------+---------------+---------------+----------+---- x . . . . . . & | 2 | 72 * | 1 2 3 0 | 3 3 6 3 0 | 1 9 3 6 1 | 3 9 1 2 | 3 3 . . . . x . . | 2 | * 54 | 0 0 4 2 | 0 2 4 8 1 | 0 4 4 8 4 | 1 8 2 4 | 2 4 -----------------+----+-------+--------------+---------------+---------------+----------+---- x3o . . . . . & | 3 | 3 0 | 24 * * * | 2 3 0 0 0 | 1 6 3 0 0 | 3 6 1 0 | 3 2 x . x . . . . | 4 | 4 0 | * 36 * * | 2 0 3 0 0 | 1 6 0 3 0 | 3 6 0 1 | 3 2 x . . . x . . & | 4 | 2 2 | * * 108 * | 0 1 2 2 0 | 0 3 2 4 1 | 1 6 1 2 | 2 3 . . . . x3o . | 3 | 0 3 | * * * 36 | 0 0 0 4 1 | 0 0 2 4 4 | 0 4 2 4 | 1 4 -----------------+----+-------+--------------+---------------+---------------+----------+---- x3o x . . . . & ♦ 6 | 9 0 | 2 3 0 0 | 24 * * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 x3o . . x . . & ♦ 6 | 6 3 | 2 0 3 0 | * 36 * * * | 0 2 2 0 0 | 1 4 1 0 | 2 2 x . x . x . . ♦ 8 | 8 4 | 0 2 4 0 | * * 54 * * | 0 2 0 2 0 | 1 4 0 1 | 2 2 x . . . x3o . & ♦ 6 | 3 6 | 0 0 3 2 | * * * 72 * | 0 0 1 2 1 | 0 3 1 2 | 1 3 . . . . x3o3o ♦ 4 | 0 6 | 0 0 0 4 | * * * * 9 | 0 0 0 0 4 | 0 0 2 4 | 0 4 -----------------+----+-------+--------------+---------------+---------------+----------+---- x3o x3o . . . ♦ 9 | 18 0 | 6 9 0 0 | 6 0 0 0 0 | 4 * * * * | 3 0 0 0 | 3 0 x3o x . x . . & ♦ 12 | 18 6 | 4 6 9 0 | 2 2 3 0 0 | * 36 * * * | 1 2 0 0 | 2 1 x3o . . x3o . & ♦ 9 | 9 9 | 3 0 9 3 | 0 3 0 3 0 | * * 24 * * | 0 2 1 0 | 1 2 x . x . x3o . ♦ 12 | 12 12 | 0 3 12 4 | 0 0 3 4 0 | * * * 36 * | 0 2 0 1 | 1 2 x . . . x3o3o & ♦ 8 | 4 12 | 0 0 6 8 | 0 0 0 4 2 | * * * * 18 | 0 0 1 2 | 0 3 -----------------+----+-------+--------------+---------------+---------------+----------+---- x3o x3o x . . ♦ 18 | 36 9 | 12 18 18 0 | 12 6 9 0 0 | 2 6 0 0 0 | 6 * * * | 2 0 x3o x . x3o . & ♦ 18 | 27 18 | 6 9 27 6 | 3 6 9 9 0 | 0 3 2 3 0 | * 24 * * | 1 1 x3o . . x3o3o & ♦ 12 | 12 18 | 4 0 18 12 | 0 6 0 12 3 | 0 0 4 0 3 | * * 6 * | 0 2 x . x . x3o3o ♦ 16 | 16 24 | 0 4 24 16 | 0 0 6 16 4 | 0 0 0 4 4 | * * * 9 | 0 2 -----------------+----+-------+--------------+---------------+---------------+----------+---- x3o x3o x3o . ♦ 27 | 54 27 | 18 27 54 9 | 18 18 27 18 0 | 3 18 6 9 0 | 3 6 0 0 | 4 * x3o x . x3o3o & ♦ 24 | 36 36 | 8 12 54 24 | 4 12 18 36 6 | 0 6 8 12 9 | 0 4 2 3 | * 6
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