Acronym | oco (old: occo) |
Name | octagon cuboctahedron duoprism |
Circumradius | sqrt[2+1/sqrt(2)] = 1.645329 |
Volume | 10[2+sqrt(2)]/3 = 11.380712 |
Face vector | 96, 288, 316, 144, 22 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x8o o3x4o . . . . . | 96 | 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 ----------+----+--------+--------------+------------+------ x . . . . | 2 | 96 * | 1 4 0 0 | 4 2 2 0 | 2 2 1 . . . x . | 2 | * 192 | 0 2 1 1 | 1 2 2 1 | 1 1 2 ----------+----+--------+--------------+------------+------ x8o . . . | 8 | 8 0 | 12 * * * | 4 0 0 0 | 2 2 0 x . . x . | 4 | 2 2 | * 192 * * | 1 1 1 0 | 1 1 1 . . o3x . | 3 | 0 3 | * * 64 * | 0 2 0 1 | 1 0 2 . . . x4o | 4 | 0 4 | * * * 48 | 0 0 2 1 | 0 1 2 ----------+----+--------+--------------+------------+------ x8o . x . ♦ 16 | 16 8 | 2 8 0 0 | 24 * * * | 1 1 0 x . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * 64 * * | 1 0 1 x . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * 48 * | 0 1 1 . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * 8 | 0 0 2 ----------+----+--------+--------------+------------+------ x8o o3x . ♦ 24 | 24 24 | 3 24 8 0 | 3 8 0 0 | 8 * * x8o . x4o ♦ 32 | 32 32 | 4 32 0 8 | 4 0 8 0 | * 6 * x . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 8 6 2 | * * 8
x4x o3x4o . . . . . | 96 | 1 1 4 | 1 4 4 2 2 | 4 2 2 2 2 1 | 2 2 1 1 ----------+----+-----------+----------------+------------------+-------- x . . . . | 2 | 48 * * | 1 4 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . x . . . | 2 | * 48 * | 1 0 4 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . . . x . | 2 | * * 192 | 0 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-----------+----------------+------------------+-------- x4x . . . | 8 | 4 4 0 | 12 * * * * | 4 0 0 0 0 0 | 2 2 0 0 x . . x . | 4 | 2 0 2 | * 96 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . x . | 4 | 0 2 2 | * * 96 * * | 1 0 0 1 1 0 | 1 1 0 1 . . o3x . | 3 | 0 0 3 | * * * 64 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x4o | 4 | 0 0 4 | * * * * 48 | 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-----------+----------------+------------------+-------- x4x . x . ♦ 16 | 8 8 8 | 2 4 4 0 0 | 24 * * * * * | 1 1 0 0 x . o3x . ♦ 6 | 3 0 6 | 0 3 0 2 0 | * 32 * * * * | 1 0 1 0 x . . x4o ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 24 * * * | 0 1 1 0 . x o3x . ♦ 6 | 0 3 6 | 0 0 3 2 0 | * * * 32 * * | 1 0 0 1 . x . x4o ♦ 8 | 0 4 8 | 0 0 4 0 2 | * * * * 24 * | 0 1 0 1 . . o3x4o ♦ 12 | 0 0 24 | 0 0 0 8 6 | * * * * * 8 | 0 0 1 1 ----------+----+-----------+----------------+------------------+-------- x4x o3x . ♦ 24 | 12 12 24 | 3 12 12 8 0 | 3 4 0 4 0 0 | 8 * * * x4x . x4o ♦ 32 | 16 16 32 | 4 16 16 0 8 | 4 0 4 0 4 0 | * 6 * * x . o3x4o ♦ 24 | 12 0 48 | 0 24 0 16 12 | 0 8 6 0 0 2 | * * 4 * . x o3x4o ♦ 24 | 0 12 48 | 0 0 24 16 12 | 0 0 0 8 6 2 | * * * 4
x8o x3o3x . . . . . | 96 | 2 2 2 | 1 4 4 1 2 1 | 2 2 2 4 2 1 | 1 2 1 2 ----------+----+----------+-------------------+------------------+-------- x . . . . | 2 | 96 * * | 1 2 2 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x . . | 2 | * 96 * | 0 2 0 1 1 0 | 1 0 2 2 0 1 | 1 1 0 2 . . . . x | 2 | * * 96 | 0 0 2 0 1 1 | 0 1 0 2 2 1 | 0 1 1 2 ----------+----+----------+-------------------+------------------+-------- x8o . . . | 8 | 8 0 0 | 12 * * * * * | 2 2 0 0 0 0 | 1 2 1 0 x . x . . | 4 | 2 2 0 | * 96 * * * * | 1 0 1 1 0 0 | 1 1 0 1 x . . . x | 4 | 2 0 2 | * * 96 * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x3o . | 3 | 0 3 0 | * * * 32 * * | 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 2 | * * * * 46 * | 0 0 0 2 0 1 | 0 1 0 2 . . . o3x | 3 | 0 0 3 | * * * * * 32 | 0 0 0 0 2 1 | 0 0 1 2 ----------+----+----------+-------------------+------------------+-------- x8o x . . ♦ 16 | 16 8 0 | 2 8 0 0 0 0 | 12 * * * * * | 1 1 0 0 x8o . . x ♦ 16 | 16 0 8 | 2 0 8 0 0 0 | * 12 * * * * | 0 1 1 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 32 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 48 * * | 0 1 0 1 x . . o3x ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 32 * | 0 0 1 1 . . x3o3x ♦ 12 | 0 12 12 | 0 0 0 4 6 4 | * * * * * 8 | 0 0 0 2 ----------+----+----------+-------------------+------------------+-------- x8o x3o . ♦ 24 | 24 24 0 | 3 24 0 8 0 0 | 3 0 8 0 0 0 | 4 * * * x8o x . x ♦ 32 | 32 16 16 | 4 16 16 0 8 0 | 2 2 0 8 0 0 | * 6 * * x8o . o3x ♦ 24 | 24 0 24 | 3 0 24 0 0 8 | 0 3 0 0 8 0 | * * 4 * x . x3o3x ♦ 24 | 12 24 24 | 0 12 12 8 12 8 | 0 0 4 6 4 2 | * * * 8
x4x x3o3x . . . . . | 96 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+----+-------------+-------------------------+---------------------------+---------- x . . . . | 2 | 48 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 48 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 96 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 96 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+----+-------------+-------------------------+---------------------------+---------- x4x . . . | 8 | 4 4 0 0 | 12 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 48 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 48 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 48 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 48 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 32 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 48 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 0 3 | * * * * * * * 32 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+-------------+-------------------------+---------------------------+---------- x4x x . . ♦ 16 | 8 8 8 0 | 2 4 0 4 0 0 0 0 | 12 * * * * * * * * | 1 1 0 0 0 x4x . . x ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 0 0 | * 12 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 16 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 24 * * * * * | 0 1 0 1 0 x . . o3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 16 * * * * | 0 0 1 1 0 . x x3o . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 16 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 24 * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 16 * | 0 0 1 0 1 . . x3o3x ♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * 8 | 0 0 0 1 1 ----------+----+-------------+-------------------------+---------------------------+---------- x4x x3o . ♦ 24 | 12 12 24 0 | 3 12 0 12 0 8 0 0 | 3 0 4 0 0 4 0 0 0 | 4 * * * * x4x x . x ♦ 32 | 16 16 16 16 | 4 8 8 8 8 0 8 0 | 2 2 0 4 0 0 4 0 0 | * 6 * * * x4x . o3x ♦ 24 | 12 12 0 24 | 3 0 12 0 12 0 0 8 | 0 3 0 0 4 0 0 4 0 | * * 4 * * x . x3o3x ♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 12 8 | 0 0 4 6 4 0 0 0 2 | * * * 4 * . x x3o3x ♦ 24 | 0 12 24 24 | 0 0 0 12 12 8 12 8 | 0 0 0 0 0 4 6 4 2 | * * * * 4
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