| Acronym | cocube |
| Name | cuboctahedron-cube duoprism |
| Circumradius | sqrt(7)/2 = 1.322876 |
| Volume | 5 sqrt(2)/3 = 2.357023 |
| Face vector | 96, 336, 482, 332, 120, 20 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3x4o o3o4x . . . . . . | 96 | 4 3 | 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 ------------+----+---------+--------------+----------------+-------------+------ . x . . . . | 2 | 192 * | 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . . . x | 2 | * 144 | 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 ------------+----+---------+--------------+----------------+-------------+------ o3x . . . . | 3 | 3 0 | 64 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . x4o . . . | 4 | 4 0 | * 48 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . x . . . x | 4 | 2 2 | * * 288 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . . o4x | 4 | 0 4 | * * * 72 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 ------------+----+---------+--------------+----------------+-------------+------ o3x4o . . . ♦ 12 | 24 0 | 8 6 0 0 | 8 * * * * | 3 0 0 0 | 3 0 0 o3x . . . x ♦ 6 | 6 3 | 2 0 3 0 | * 96 * * * | 1 2 0 0 | 2 1 0 . x4o . . x ♦ 8 | 8 4 | 0 2 4 0 | * * 72 * * | 1 0 2 0 | 2 0 1 . x . . o4x ♦ 8 | 4 8 | 0 0 4 2 | * * * 144 * | 0 1 1 1 | 1 1 1 . . . o3o4x ♦ 8 | 0 12 | 0 0 0 6 | * * * * 12 | 0 0 0 4 | 0 2 2 ------------+----+---------+--------------+----------------+-------------+------ o3x4o . . x ♦ 24 | 48 12 | 16 12 24 0 | 2 8 6 0 0 | 12 * * * | 2 0 0 o3x . . o4x ♦ 12 | 12 12 | 4 0 12 3 | 0 4 0 3 0 | * 48 * * | 1 1 0 . x4o . o4x ♦ 16 | 16 16 | 0 4 16 4 | 0 0 4 4 0 | * * 36 * | 1 0 1 . x . o3o4x ♦ 16 | 8 24 | 0 0 12 12 | 0 0 0 6 2 | * * * 24 | 0 1 1 ------------+----+---------+--------------+----------------+-------------+------ o3x4o . o4x ♦ 48 | 96 48 | 32 24 96 12 | 4 32 24 24 0 | 4 8 6 0 | 6 * * o3x . o3o4x ♦ 24 | 24 36 | 8 0 36 18 | 0 12 0 18 3 | 0 6 0 3 | * 8 * . x4o o3o4x ♦ 32 | 32 48 | 0 8 48 24 | 0 0 12 24 4 | 0 0 6 4 | * * 6
x x4o o3x4o . . . . . . | 96 | 1 2 4 | 2 4 1 8 2 2 | 1 8 2 2 4 4 4 1 | 4 4 4 1 2 2 2 | 2 2 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x . . . . . | 2 | 48 * * | 2 4 0 0 0 0 | 1 8 2 2 0 0 0 0 | 4 4 4 1 0 0 0 | 2 2 2 0 . x . . . . | 2 | * 96 * | 1 0 1 4 0 0 | 1 4 0 0 4 2 2 0 | 4 2 2 0 2 2 1 | 2 2 1 1 . . . . x . | 2 | * * 192 | 0 1 0 2 1 1 | 0 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x . . . . | 4 | 2 2 0 | 48 * * * * * | 1 4 0 0 0 0 0 0 | 4 2 2 0 0 0 0 | 2 2 1 0 x . . . x . | 4 | 2 0 2 | * 96 * * * * | 0 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . x4o . . . | 4 | 0 4 0 | * * 24 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 2 2 0 | 2 2 0 1 . x . . x . | 4 | 0 2 2 | * * * 192 * * | 0 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 0 3 | * * * * 64 * | 0 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x4o | 4 | 0 0 4 | * * * * * 48 | 0 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x4o . . . ♦ 8 | 4 8 0 | 4 0 2 0 0 0 | 12 * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 x x . . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 0 | * 96 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 32 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x4o ♦ 8 | 4 0 8 | 0 4 0 0 0 2 | * * * 24 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . x4o . x . ♦ 8 | 0 8 4 | 0 0 2 4 0 0 | * * * * 48 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 0 3 6 | 0 0 0 3 2 0 | * * * * * 64 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x . . x4o ♦ 8 | 0 4 8 | 0 0 0 4 0 2 | * * * * * * 48 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . o3x4o ♦ 12 | 0 0 24 | 0 0 0 0 8 6 | * * * * * * * 8 | 0 0 0 1 0 0 2 | 0 0 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x4o . x . ♦ 16 | 8 16 8 | 8 4 4 8 0 0 | 2 4 0 0 2 0 0 0 | 24 * * * * * * | 1 1 0 0 x x . o3x . ♦ 12 | 6 6 12 | 3 6 0 6 4 0 | 0 3 2 0 0 2 0 0 | * 32 * * * * * | 1 0 1 0 x x . . x4o ♦ 16 | 8 8 16 | 4 8 0 8 0 4 | 0 4 0 2 0 0 2 0 | * * 24 * * * * | 0 1 1 0 x . . o3x4o ♦ 24 | 12 0 48 | 0 24 0 0 16 12 | 0 0 8 6 0 0 0 2 | * * * 4 * * * | 0 0 2 0 . x4o o3x . ♦ 12 | 0 12 12 | 0 0 3 12 4 0 | 0 0 0 0 3 4 0 0 | * * * * 16 * * | 1 0 0 1 . x4o . x4o ♦ 16 | 0 16 16 | 0 0 4 16 0 4 | 0 0 0 0 4 0 4 0 | * * * * * 12 * | 0 1 0 1 . x . o3x4o ♦ 24 | 0 12 48 | 0 0 0 24 16 12 | 0 0 0 0 0 8 6 2 | * * * * * * 8 | 0 0 1 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x4o o3x . ♦ 24 | 12 24 24 | 12 12 6 24 8 0 | 3 12 4 0 6 8 0 0 | 3 4 0 0 2 0 0 | 8 * * * x x4o . x4o ♦ 32 | 16 32 32 | 16 16 8 32 0 8 | 4 16 0 4 8 0 8 0 | 4 0 4 0 0 2 0 | * 6 * * x x . o3x4o ♦ 48 | 24 24 96 | 12 48 0 48 32 24 | 0 24 16 12 0 16 12 4 | 0 8 6 2 0 0 2 | * * 4 * . x4o o3x4o ♦ 48 | 0 48 96 | 0 0 12 96 32 24 | 0 0 0 0 24 32 24 4 | 0 0 0 0 8 6 4 | * * * 2
x x x o3x4o . . . . . . | 96 | 1 1 1 4 | 1 1 4 1 4 4 2 2 | 1 4 4 2 2 4 2 2 2 2 1 | 4 2 2 2 2 1 2 2 2 | 2 2 1 1 1 ------------+----+--------------+-------------------------+---------------------------------+--------------------------+---------- x . . . . . | 2 | 48 * * * | 1 1 4 0 0 0 0 0 | 1 4 4 2 2 0 0 0 0 0 0 | 4 2 2 2 2 1 0 0 0 | 2 2 1 1 0 . x . . . . | 2 | * 48 * * | 1 0 0 1 4 0 0 0 | 1 4 0 0 0 4 2 2 0 0 0 | 4 2 2 0 0 0 2 2 1 | 2 2 1 0 1 . . x . . . | 2 | * * 48 * | 0 1 0 1 0 4 0 0 | 1 0 4 0 0 4 0 0 2 2 0 | 4 0 0 2 2 0 2 2 1 | 2 2 0 1 1 . . . . x . | 2 | * * * 192 | 0 0 1 0 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 2 | 1 1 1 1 1 ------------+----+--------------+-------------------------+---------------------------------+--------------------------+---------- x x . . . . | 4 | 2 2 0 0 | 24 * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 | 4 2 2 0 0 0 0 0 0 | 2 2 1 0 0 x . x . . . | 4 | 2 2 0 0 | * 24 * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 | 4 0 0 2 2 0 0 0 0 | 2 2 0 1 0 x . . . x . | 4 | 2 0 0 2 | * * 96 * * * * * | 0 2 0 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0 . x x . . . | 4 | 0 2 2 0 | * * * 24 * * * * | 1 0 0 0 0 4 0 0 0 0 0 | 4 0 0 0 0 0 2 2 0 | 2 2 0 0 1 . x . . x . | 4 | 0 2 0 2 | * * * * 96 * * * | 0 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 | 1 1 1 0 1 . . x . x . | 4 | 0 0 2 2 | * * * * * 96 * * | 0 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 1 | 1 1 0 1 1 . . . o3x . | 3 | 0 0 0 3 | * * * * * * 64 * | 0 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 2 | 1 0 1 1 1 . . . . x4o | 4 | 0 0 0 4 | * * * * * * * 48 | 0 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 2 | 0 1 1 1 1 ------------+----+--------------+-------------------------+---------------------------------+--------------------------+---------- x x x . . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 | 12 * * * * * * * * * * | 4 0 0 0 0 0 0 0 0 | 2 2 0 0 0 x x . . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 48 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . x . x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 0 | * * 48 * * * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . o3x . ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 0 | * * * 32 * * * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . . x4o ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 24 * * * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . x x . x . ♦ 8 | 0 4 4 4 | 0 0 0 2 2 2 0 0 | * * * * * 48 * * * * * | 1 0 0 0 0 0 1 1 0 | 1 1 0 0 1 . x . o3x . ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 0 | * * * * * * 32 * * * * | 0 1 0 0 0 0 1 0 1 | 1 0 1 0 1 . x . . x4o ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 24 * * * | 0 0 1 0 0 0 0 1 1 | 0 1 1 0 1 . . x o3x . ♦ 6 | 0 0 3 6 | 0 0 0 0 0 3 2 0 | * * * * * * * * 32 * * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . x . x4o ♦ 8 | 0 0 4 8 | 0 0 0 0 0 4 0 2 | * * * * * * * * * 24 * | 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . o3x4o ♦ 12 | 0 0 0 24 | 0 0 0 0 0 0 8 6 | * * * * * * * * * * 8 | 0 0 0 0 0 1 0 0 2 | 0 0 1 1 1 ------------+----+--------------+-------------------------+---------------------------------+--------------------------+---------- x x x . x . ♦ 16 | 8 8 8 8 | 4 4 4 4 4 4 0 0 | 2 2 2 0 0 2 0 0 0 0 0 | 24 * * * * * * * * | 1 1 0 0 0 x x . o3x . ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 4 0 | 0 3 0 2 0 0 2 0 0 0 0 | * 16 * * * * * * * | 1 0 1 0 0 x x . . x4o ♦ 16 | 8 8 0 16 | 4 0 8 0 8 0 0 4 | 0 4 0 0 2 0 0 2 0 0 0 | * * 12 * * * * * * | 0 1 1 0 0 x . x o3x . ♦ 12 | 6 0 6 12 | 0 3 6 0 0 6 4 0 | 0 0 3 2 0 0 0 0 2 0 0 | * * * 16 * * * * * | 1 0 0 1 0 x . x . x4o ♦ 16 | 8 0 8 16 | 0 4 8 0 0 8 0 4 | 0 0 4 0 2 0 0 0 0 2 0 | * * * * 12 * * * * | 0 1 0 1 0 x . . o3x4o ♦ 24 | 12 0 0 48 | 0 0 24 0 0 0 16 12 | 0 0 0 8 6 0 0 0 0 0 2 | * * * * * 4 * * * | 0 0 1 1 0 . x x o3x . ♦ 12 | 0 6 6 12 | 0 0 0 3 6 6 4 0 | 0 0 0 0 0 3 2 0 2 0 0 | * * * * * * 16 * * | 1 0 0 0 1 . x x . x4o ♦ 16 | 0 8 8 16 | 0 0 0 4 8 8 0 4 | 0 0 0 0 0 4 0 2 0 2 0 | * * * * * * * 12 * | 0 1 0 0 1 . x . o3x4o ♦ 24 | 0 12 0 48 | 0 0 0 0 24 0 16 12 | 0 0 0 0 0 0 8 6 0 0 2 | * * * * * * * * 4 | 0 0 1 0 1 . . x o3x4o ♦ 24 | 0 0 12 48 | 0 0 0 0 0 24 16 12 | 0 0 0 0 0 0 0 0 8 6 2 | * * * * * * * * 4 | 0 0 0 1 1 ------------+----+--------------+-------------------------+---------------------------------+--------------------------+---------- x x x o3x . ♦ 24 | 12 12 12 24 | 6 6 12 6 12 12 8 0 | 3 6 6 4 0 6 4 0 4 0 0 | 3 2 0 2 0 0 2 0 0 | 8 * * * * x x x . x4o ♦ 32 | 16 16 16 32 | 8 8 16 8 16 16 0 8 | 4 8 8 0 4 8 0 4 0 4 0 | 4 0 2 0 2 0 0 2 0 | * 6 * * * x x . o3x4o ♦ 48 | 24 24 0 96 | 12 0 48 0 48 0 32 24 | 0 24 0 16 12 0 16 12 0 0 4 | 0 8 6 0 0 2 0 0 2 | * * 2 * * x . x o3x4o ♦ 48 | 24 0 24 96 | 0 12 48 0 0 48 32 24 | 0 0 24 16 12 0 0 0 16 12 4 | 0 0 0 8 6 2 0 0 2 | * * * 2 * . x x o3x4o ♦ 48 | 0 24 24 96 | 0 0 0 12 48 48 32 24 | 0 0 0 0 0 24 16 12 16 12 4 | 0 0 0 0 0 0 8 6 4 | * * * * 2
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