Acronym | cubesirco |
Name | cube-small-rhombicuboctahedron duoprism |
Circumradius | sqrt[2+1/sqrt(2)] = 1.645329 |
Volume | [12+10 sqrt(2)]/3 = 8.714045 |
Face vector | 192, 672, 928, 632, 216, 32 |
Confer |
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Incidence matrix according to Dynkin symbol
o3o4x x3o4x o3o4o o3o4o | 192 | 3 2 2 | 3 6 6 1 2 1 | 1 6 6 3 6 3 1 | 2 2 3 6 3 3 | 1 2 1 3 ------------+-----+-------------+----------------------+------------------------+-------------------+--------- . . x . . . | 2 | 288 * * | 2 2 2 0 0 0 | 1 4 4 1 2 1 0 | 2 2 2 4 2 1 | 1 2 1 2 . . . x . . | 2 | * 192 * | 0 3 0 1 1 0 | 0 3 0 3 3 0 1 | 1 0 3 3 0 3 | 1 1 0 3 . . . . . x | 2 | * * 192 | 0 0 3 0 1 1 | 0 0 3 0 3 3 1 | 0 1 0 3 3 3 | 0 1 1 3 ------------+-----+-------------+----------------------+------------------------+-------------------+--------- . o4x . . . | 4 | 4 0 0 | 144 * * * * * | 1 2 2 0 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x x . . | 4 | 2 2 0 | * 288 * * * * | 0 2 0 1 1 0 0 | 1 0 2 2 0 1 | 1 1 0 2 . . x . . x | 4 | 2 0 2 | * * 288 * * * | 0 0 2 0 1 1 0 | 0 1 0 2 2 1 | 0 1 1 2 . . . x3o . | 3 | 0 3 0 | * * * 64 * * | 0 0 0 3 0 0 1 | 0 0 3 0 0 3 | 1 0 0 3 . . . x . x | 4 | 0 2 2 | * * * * 96 * | 0 0 0 0 3 0 1 | 0 0 0 3 0 3 | 0 1 0 3 . . . . o4x | 4 | 0 0 4 | * * * * * 48 | 0 0 0 0 0 3 1 | 0 0 0 0 3 3 | 0 0 1 3 ------------+-----+-------------+----------------------+------------------------+-------------------+--------- o3o4x . . . ♦ 8 | 12 0 0 | 6 0 0 0 0 0 | 24 * * * * * * | 2 2 0 0 0 0 | 1 2 1 0 . o4x x . . ♦ 8 | 8 4 0 | 2 4 0 0 0 0 | * 144 * * * * * | 1 0 1 1 0 0 | 1 1 0 1 . o4x . . x ♦ 8 | 8 0 4 | 2 0 4 0 0 0 | * * 144 * * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x x3o . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 96 * * * | 0 0 2 0 0 1 | 1 0 0 2 . . x x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * * 144 * * | 0 0 0 2 0 1 | 0 1 0 2 . . x . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * * 72 * | 0 0 0 0 2 1 | 0 0 1 2 . . . x3o4x ♦ 24 | 0 24 24 | 0 0 0 8 12 6 | * * * * * * 8 | 0 0 0 0 0 3 | 0 0 0 3 ------------+-----+-------------+----------------------+------------------------+-------------------+--------- o3o4x x . . ♦ 16 | 24 8 0 | 12 12 0 0 0 0 | 2 6 0 0 0 0 0 | 24 * * * * * | 1 1 0 0 o3o4x . . x ♦ 16 | 24 0 8 | 12 0 12 0 0 0 | 2 0 6 0 0 0 0 | * 24 * * * * | 0 1 1 0 . o4x x3o . ♦ 12 | 12 12 0 | 3 12 0 4 0 0 | 0 3 0 4 0 0 0 | * * 48 * * * | 1 0 0 1 . o4x x . x ♦ 16 | 16 8 8 | 4 8 8 0 4 0 | 0 2 2 0 4 0 0 | * * * 72 * * | 0 1 0 1 . o4x . o4x ♦ 16 | 16 0 16 | 4 0 16 0 0 4 | 0 0 4 0 0 4 0 | * * * * 36 * | 0 0 1 1 . . x x3o4x ♦ 48 | 24 48 48 | 0 24 24 16 24 12 | 0 0 0 8 12 6 2 | * * * * * 12 | 0 0 0 2 ------------+-----+-------------+----------------------+------------------------+-------------------+--------- o3o4x x3o . ♦ 24 | 36 24 0 | 18 36 0 8 0 0 | 3 18 0 12 0 0 0 | 3 0 6 0 0 0 | 8 * * * o3o4x x . x ♦ 32 | 48 16 16 | 24 24 24 0 8 0 | 4 12 12 0 12 0 0 | 2 2 0 6 0 0 | * 12 * * o3o4x . o4x ♦ 32 | 48 0 32 | 24 0 48 0 0 8 | 4 0 24 0 0 12 0 | 0 4 0 0 6 0 | * * 6 * . o4x x3o4x ♦ 96 | 96 96 96 | 24 96 96 32 48 24 | 0 24 24 32 48 24 4 | 0 0 8 12 6 4 | * * * 6 snubbed forms: o3o4s2x3o4s
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