Acronym | octco |
Name | octahedron-cuboctahedron duoprism |
Circumradius | sqrt(3/2) = 1.224745 |
Volume | 10/9 = 1.111111 |
Face vector | 72, 288, 468, 378, 148, 22 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o4o o3x4o . . . . . . | 72 | 4 4 | 4 16 2 2 | 1 16 8 8 1 | 4 8 8 4 | 2 2 4 ------------+----+---------+--------------+----------------+-------------+------ x . . . . . | 2 | 144 * | 2 4 0 0 | 1 8 2 2 0 | 4 4 4 1 | 2 2 2 . . . . x . | 2 | * 144 | 0 4 1 1 | 0 4 4 4 1 | 1 4 4 4 | 1 1 4 ------------+----+---------+--------------+----------------+-------------+------ x3o . . . . | 3 | 3 0 | 96 * * * | 1 4 0 0 0 | 4 2 2 0 | 2 2 1 x . . . x . | 4 | 2 2 | * 288 * * | 0 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3x . | 3 | 0 3 | * * 48 * | 0 0 4 0 1 | 0 4 0 4 | 1 0 4 . . . . x4o | 4 | 0 4 | * * * 36 | 0 0 0 4 1 | 0 0 4 4 | 0 1 4 ------------+----+---------+--------------+----------------+-------------+------ x3o4o . . . ♦ 6 | 12 0 | 8 0 0 0 | 12 * * * * | 4 0 0 0 | 2 2 0 x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 192 * * * | 1 1 1 0 | 1 1 1 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 96 * * | 0 2 0 1 | 1 0 2 x . . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * * 72 * | 0 0 2 1 | 0 1 2 . . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * * 6 | 0 0 0 4 | 0 0 4 ------------+----+---------+--------------+----------------+-------------+------ x3o4o . x . ♦ 12 | 24 6 | 16 12 0 0 | 2 8 0 0 0 | 24 * * * | 1 1 0 x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 | * 64 * * | 1 0 1 x3o . . x4o ♦ 12 | 12 12 | 4 12 0 3 | 0 4 0 3 0 | * * 48 * | 0 1 1 x . . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 0 8 6 2 | * * * 12 | 0 0 2 ------------+----+---------+--------------+----------------+-------------+------ x3o4o o3x . ♦ 18 | 36 18 | 24 36 6 0 | 3 24 12 0 0 | 3 8 0 0 | 8 * * x3o4o . x4o ♦ 24 | 48 24 | 32 48 0 6 | 4 32 0 12 0 | 4 0 8 0 | * 6 * x3o . o3x4o ♦ 36 | 36 72 | 12 72 24 18 | 0 24 24 18 3 | 0 8 6 3 | * * 8
o3x3o o3x4o . . . . . . | 72 | 4 4 | 2 2 16 2 2 | 1 8 8 8 8 1 | 4 4 4 4 4 4 | 2 2 2 2 ------------+----+---------+-----------------+------------------+-------------------+-------- . x . . . . | 2 | 144 * | 1 1 4 0 0 | 1 4 4 2 2 0 | 4 2 2 2 2 1 | 2 2 1 1 . . . . x . | 2 | * 144 | 0 0 4 1 1 | 0 2 2 4 4 1 | 1 2 2 2 2 4 | 1 1 2 2 ------------+----+---------+-----------------+------------------+-------------------+-------- o3x . . . . | 3 | 3 0 | 48 * * * * | 1 4 0 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . x3o . . . | 3 | 3 0 | * 48 * * * | 1 0 4 0 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . x . . x . | 4 | 2 2 | * * 288 * * | 0 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 48 * | 0 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . x4o | 4 | 0 4 | * * * * 36 | 0 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 ------------+----+---------+-----------------+------------------+-------------------+-------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 0 | 12 * * * * * | 4 0 0 0 0 0 | 2 2 0 0 o3x . . x . ♦ 6 | 6 3 | 2 0 3 0 0 | * 96 * * * * | 1 1 1 0 0 0 | 1 1 1 0 . x3o . x . ♦ 6 | 6 3 | 0 2 3 0 0 | * * 96 * * * | 1 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * 96 * * | 0 1 0 1 0 1 | 1 0 1 1 . x . . x4o ♦ 8 | 4 8 | 0 0 4 0 2 | * * * * 72 * | 0 0 1 0 1 1 | 0 1 1 1 . . . o3x4o ♦ 12 | 0 24 | 0 0 0 8 6 | * * * * * 6 | 0 0 0 0 0 4 | 0 0 2 2 ------------+----+---------+-----------------+------------------+-------------------+-------- o3x3o . x . ♦ 12 | 24 6 | 8 8 12 0 0 | 2 4 4 0 0 0 | 24 * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 3 0 0 | * 32 * * * * | 1 0 1 0 o3x . . x4o ♦ 12 | 12 12 | 4 0 12 0 3 | 0 4 0 0 3 0 | * * 24 * * * | 0 1 1 0 . x3o o3x . ♦ 9 | 9 9 | 0 3 9 3 0 | 0 0 3 3 0 0 | * * * 32 * * | 1 0 0 1 . x3o . x4o ♦ 12 | 12 12 | 0 4 12 0 3 | 0 0 4 0 3 0 | * * * * 24 * | 0 1 0 1 . x . o3x4o ♦ 24 | 12 48 | 0 0 24 16 12 | 0 0 0 8 6 2 | * * * * * 12 | 0 0 1 1 ------------+----+---------+-----------------+------------------+-------------------+-------- o3x3o o3x . ♦ 18 | 36 18 | 12 12 36 6 0 | 3 12 12 12 0 0 | 3 4 0 4 0 0 | 8 * * * o3x3o . x4o ♦ 24 | 48 24 | 16 16 48 0 6 | 4 16 16 0 12 0 | 4 0 4 0 4 0 | * 6 * * o3x . o3x4o ♦ 36 | 36 72 | 12 0 72 24 18 | 0 24 0 24 18 3 | 0 8 6 0 0 3 | * * 4 * . x3o o3x4o ♦ 36 | 36 72 | 0 12 72 24 18 | 0 0 24 24 18 3 | 0 0 0 8 6 3 | * * * 4
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