Acronym | tetpen |
Name |
tetrahedron-pentachoron duoprism, vertex figure of trene |
Circumradius | sqrt(31/40) = 0.880341 |
Volume | sqrt(10)/1152 = 0.0027450 |
Dihedral angles
(at margins) | |
Face vector | 20, 70, 120, 125, 84, 36, 9 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o3o x3o3o3o . . . . . . . | 20 | 3 4 | 3 12 6 | 1 12 18 4 | 4 18 12 1 | 6 12 3 | 4 3 --------------+----+-------+----------+------------+------------+---------+---- x . . . . . . | 2 | 30 * | 2 4 0 | 1 8 6 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . x . . . | 2 | * 40 | 0 3 3 | 0 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 --------------+----+-------+----------+------------+------------+---------+---- x3o . . . . . | 3 | 3 0 | 20 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 | 4 1 x . . x . . . | 4 | 2 2 | * 60 * | 0 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x3o . . | 3 | 0 3 | * * 40 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 --------------+----+-------+----------+------------+------------+---------+---- x3o3o . . . . ♦ 4 | 6 0 | 4 0 0 | 5 * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 x3o . x . . . ♦ 6 | 6 3 | 2 3 0 | * 40 * * | 1 3 0 0 | 3 3 0 | 3 1 x . . x3o . . ♦ 6 | 3 6 | 0 3 2 | * * 60 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * * 20 | 0 0 3 1 | 0 3 3 | 1 3 --------------+----+-------+----------+------------+------------+---------+---- x3o3o x . . . ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | 10 * * * | 3 0 0 | 3 0 x3o . x3o . . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 40 * * | 1 2 0 | 2 1 x . . x3o3o . ♦ 8 | 4 12 | 0 6 8 | 0 0 4 2 | * * 30 * | 0 2 1 | 1 2 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 4 | 0 0 3 | 0 3 --------------+----+-------+----------+------------+------------+---------+---- x3o3o x3o . . ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 | 3 4 0 0 | 10 * * | 2 0 x3o . x3o3o . ♦ 12 | 12 18 | 4 18 12 | 0 6 12 3 | 0 4 3 0 | * 20 * | 1 1 x . . x3o3o3o ♦ 10 | 5 20 | 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 6 | 0 2 --------------+----+-------+----------+------------+------------+---------+---- x3o3o x3o3o . ♦ 16 | 24 24 | 16 36 16 | 4 24 24 4 | 6 16 6 0 | 4 4 0 | 5 * x3o . x3o3o3o ♦ 15 | 15 30 | 5 30 30 | 0 10 30 15 | 0 10 15 3 | 0 5 3 | * 4
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