Acronym | tetoct |
Name |
tetrahedron-octahedron duoprism, vertex figure of sez |
Circumradius | sqrt(7/8) = 0.935414 |
Volume | 1/18 = 0.055556 |
Dihedral angles
(at margins) | |
Face vector | 24, 84, 128, 106, 50, 12 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o3o x3o4o . . . . . . | 24 | 3 4 | 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ------------+----+-------+----------+-----------+---------+---- x . . . . . | 2 | 36 * | 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x . . | 2 | * 48 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------+----+-------+----------+-----------+---------+---- x3o . . . . | 3 | 3 0 | 24 * * | 1 4 0 0 | 4 4 0 | 4 1 x . . x . . | 4 | 2 2 | * 72 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 32 | 0 0 3 1 | 0 3 3 | 1 3 ------------+----+-------+----------+-----------+---------+---- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 | 6 * * * | 4 0 0 | 4 0 x3o . x . . ♦ 6 | 6 3 | 2 3 0 | * 48 * * | 1 2 0 | 2 1 x . . x3o . ♦ 6 | 3 6 | 0 3 2 | * * 48 * | 0 2 1 | 1 2 . . . x3o4o ♦ 6 | 0 12 | 0 0 8 | * * * 4 | 0 0 3 | 0 3 ------------+----+-------+----------+-----------+---------+---- x3o3o x . . ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | 12 * * | 2 0 x3o . x3o . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 32 * | 1 1 x . . x3o4o ♦ 12 | 6 24 | 0 12 16 | 0 0 8 2 | * * 6 | 0 2 ------------+----+-------+----------+-----------+---------+---- x3o3o x3o . ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 | 3 4 0 | 8 * x3o . x3o4o ♦ 18 | 18 36 | 6 36 24 | 0 12 24 3 | 0 8 3 | * 4
x3o3o o3x3o . . . . . . | 24 | 3 4 | 3 12 2 2 | 1 12 6 6 1 | 4 6 6 3 | 2 2 3 ------------+----+-------+-------------+--------------+------------+------ x . . . . . | 2 | 36 * | 2 4 0 0 | 1 8 2 2 0 | 4 4 4 1 | 2 2 2 . . . . x . | 2 | * 48 | 0 3 1 1 | 0 3 3 3 1 | 1 3 3 3 | 1 1 3 ------------+----+-------+-------------+--------------+------------+------ x3o . . . . | 3 | 3 0 | 24 * * * | 1 4 0 0 0 | 4 2 2 0 | 2 2 1 x . . . x . | 4 | 2 2 | * 72 * * | 0 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3x . | 3 | 0 3 | * * 16 * | 0 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . . x3o | 3 | 0 3 | * * * 16 | 0 0 0 3 1 | 0 0 3 3 | 0 1 3 ------------+----+-------+-------------+--------------+------------+------ x3o3o . . . ♦ 4 | 6 0 | 4 0 0 0 | 6 * * * * | 4 0 0 0 | 2 2 0 x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 48 * * * | 1 1 1 0 | 1 1 1 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 24 * * | 0 2 0 1 | 1 0 2 x . . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * * 24 * | 0 0 2 1 | 0 1 2 . . . o3x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * * 4 | 0 0 0 3 | 0 0 3 ------------+----+-------+-------------+--------------+------------+------ x3o3o . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 | 12 * * * | 1 1 0 x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 | * 16 * * | 1 0 1 x3o . . x3o ♦ 9 | 9 9 | 3 9 0 3 | 0 3 0 3 0 | * * 16 * | 0 1 1 x . . o3x3o ♦ 12 | 6 24 | 0 12 8 8 | 0 0 4 4 2 | * * * 6 | 0 0 2 ------------+----+-------+-------------+--------------+------------+------ x3o3o o3x . ♦ 12 | 18 12 | 12 18 4 0 | 3 12 6 0 0 | 3 4 0 0 | 4 * * x3o3o . x3o ♦ 12 | 18 12 | 12 18 0 4 | 3 12 0 6 0 | 3 0 4 0 | * 4 * x3o . o3x3o ♦ 18 | 18 36 | 6 36 12 12 | 0 12 12 12 3 | 0 4 4 3 | * * 4
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