Acronym | otut |
Name | octagon - truncated-tetrahedron duoprism |
Circumradius | sqrt[(19+4 sqrt(2))/8] = 1.755593 |
Volume | 23[2+sqrt(2)]/6 = 13.087819 |
Face vector | 96, 240, 220, 90, 16 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x8o x3x3o . . . . . | 96 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+----+----------+----------------+--------------+------ x . . . . | 2 | 96 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 48 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 96 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+----+----------+----------------+--------------+------ x8o . . . | 8 | 8 0 0 | 12 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 48 * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 96 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 32 * | 0 0 2 0 1 | 1 0 2 . . . x3o | 3 | 0 0 3 | * * * * 32 | 0 0 0 2 1 | 0 1 2 ----------+----+----------+----------------+--------------+------ x8o x . . ♦ 16 | 16 8 0 | 2 8 0 0 0 | 6 * * * * | 2 0 0 x8o . x . ♦ 16 | 16 0 8 | 2 0 8 0 0 | * 12 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 32 * * | 1 0 1 x . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * 32 * | 0 1 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 8 | 0 0 2 ----------+----+----------+----------------+--------------+------ x8o x3x . ♦ 48 | 48 24 24 | 6 24 24 8 0 | 3 3 8 0 0 | 4 * * x8o . x3o ♦ 24 | 24 0 24 | 3 0 24 0 8 | 0 3 0 8 0 | * 4 * x . x3x3o ♦ 24 | 12 12 24 | 0 6 12 8 8 | 0 0 4 4 2 | * * 8
x4x x3x3o . . . . . | 96 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+----+-------------+----------------------+--------------------+-------- x . . . . | 2 | 48 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 48 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 48 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 96 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-------------+----------------------+--------------------+-------- x4x . . . | 8 | 4 4 0 0 | 12 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 24 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 48 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 24 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 48 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 32 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * 32 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-------------+----------------------+--------------------+-------- x4x x . . ♦ 16 | 8 8 8 0 | 2 4 0 4 0 0 0 | 6 * * * * * * | 2 0 0 0 x4x . x . ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 0 | * 12 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 16 * * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 16 * * * | 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 16 * * | 1 0 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 16 * | 0 1 0 1 . . x3x3o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 8 | 0 0 1 1 ----------+----+-------------+----------------------+--------------------+-------- x4x x3x . ♦ 48 | 24 24 24 24 | 6 12 12 12 12 8 0 | 3 3 4 0 4 0 0 | 4 * * * x4x . x3o ♦ 24 | 12 12 0 24 | 3 0 12 0 12 0 8 | 0 3 0 4 0 4 0 | * 4 * * x . x3x3o ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 | * * 4 * . x x3x3o ♦ 24 | 0 12 12 24 | 0 0 0 6 12 8 8 | 0 0 0 0 4 4 2 | * * * 4
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