| Acronym | codip |
| Name | cuboctahedron-cuboctahedron duoprism |
| Circumradius | sqrt(2) = 1.414214 |
| Volume | 50/9 = 5.555556 |
| Face vector | 144, 576, 912, 696, 244, 28 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3x4o o3x4o . . . . . . | 144 | 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 | 288 * | 1 1 4 0 0 | 1 4 4 2 2 0 | 4 2 2 2 2 1 | 2 2 1 1 . . . . x . | 2 | * 288 | 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 | 96 * * * * | 1 4 0 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . x4o . . . | 4 | 4 0 | * 72 * * * | 1 0 4 0 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . x . . x . | 4 | 2 2 | * * 576 * * | 0 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 96 * | 0 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . x4o | 4 | 0 4 | * * * * 72 | 0 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 ------------+-----+---------+-----------------+-----------------------+-------------------+-------- o3x4o . . . ♦ 12 | 24 0 | 8 6 0 0 0 | 12 * * * * * | 4 0 0 0 0 0 | 2 2 0 0 o3x . . x . ♦ 6 | 6 3 | 2 0 3 0 0 | * 192 * * * * | 1 1 1 0 0 0 | 1 1 1 0 . x4o . x . ♦ 8 | 8 4 | 0 2 4 0 0 | * * 144 * * * | 1 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * 192 * * | 0 1 0 1 0 1 | 1 0 1 1 . x . . x4o ♦ 8 | 4 8 | 0 0 4 0 2 | * * * * 144 * | 0 0 1 0 1 1 | 0 1 1 1 . . . o3x4o ♦ 12 | 0 24 | 0 0 0 8 6 | * * * * * 12 | 0 0 0 0 0 4 | 0 0 2 2 ------------+-----+---------+-----------------+-----------------------+-------------------+-------- o3x4o . x . ♦ 24 | 48 12 | 16 12 24 0 0 | 2 8 6 0 0 0 | 24 * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 3 0 0 | * 64 * * * * | 1 0 1 0 o3x . . x4o ♦ 12 | 12 12 | 4 0 12 0 3 | 0 4 0 0 3 0 | * * 48 * * * | 0 1 1 0 . x4o o3x . ♦ 12 | 12 12 | 0 3 12 4 0 | 0 0 3 4 0 0 | * * * 48 * * | 1 0 0 1 . x4o . x4o ♦ 16 | 16 16 | 0 4 16 0 4 | 0 0 4 0 4 0 | * * * * 36 * | 0 1 0 1 . x . o3x4o ♦ 24 | 12 48 | 0 0 24 16 12 | 0 0 0 8 6 2 | * * * * * 24 | 0 0 1 1 ------------+-----+---------+-----------------+-----------------------+-------------------+-------- o3x4o o3x . ♦ 36 | 72 36 | 24 18 72 12 0 | 3 24 18 24 0 0 | 3 8 0 6 0 0 | 8 * * * o3x4o . x4o ♦ 48 | 96 48 | 32 24 96 0 12 | 4 32 24 0 24 0 | 4 0 8 0 6 0 | * 6 * * o3x . o3x4o ♦ 36 | 36 72 | 12 0 72 24 18 | 0 24 0 24 18 3 | 0 8 6 0 0 3 | * * 8 * . x4o o3x4o ♦ 48 | 48 96 | 0 12 96 32 24 | 0 0 24 32 24 4 | 0 0 0 8 6 4 | * * * 6
or . . . . . . | 144 | 8 | 4 4 16 | 2 16 16 | 8 4 8 4 | 4 4 ---------------+-----+-----+-------------+------------+-------------+------ . x . . . . & | 2 | 576 | 1 1 4 | 1 6 6 | 5 2 4 2 | 3 3 ---------------+-----+-----+-------------+------------+-------------+------ o3x . . . . & | 3 | 3 | 192 * * | 1 4 0 | 4 2 2 0 | 3 2 . x4o . . . & | 4 | 4 | * 144 * | 1 0 4 | 4 0 2 2 | 2 3 . x . . x . | 4 | 4 | * * 576 | 0 2 2 | 2 1 2 1 | 2 2 ---------------+-----+-----+-------------+------------+-------------+------ o3x4o . . . & ♦ 12 | 24 | 8 6 0 | 24 * * | 4 0 0 0 | 2 2 o3x . . x . & ♦ 6 | 9 | 2 0 3 | * 384 * | 1 1 1 0 | 2 1 . x4o . x . & ♦ 8 | 12 | 0 2 4 | * * 288 | 1 0 1 1 | 1 2 ---------------+-----+-----+-------------+------------+-------------+------ o3x4o . x . & ♦ 24 | 60 | 16 12 24 | 2 8 6 | 48 * * * | 1 1 o3x . o3x . ♦ 9 | 18 | 6 0 9 | 0 6 0 | * 64 * * | 2 0 o3x . . x4o & ♦ 12 | 24 | 4 3 12 | 0 4 3 | * * 96 * | 1 1 . x4o . x4o ♦ 16 | 32 | 0 8 16 | 0 0 8 | * * * 36 | 0 2 ---------------+-----+-----+-------------+------------+-------------+------ o3x4o o3x . & ♦ 36 | 108 | 36 18 72 | 3 48 18 | 3 8 6 0 | 16 * o3x4o . x4o & ♦ 48 | 144 | 32 36 96 | 4 32 48 | 4 0 8 6 | * 12
x3o3x x3o3x . . . . . . | 144 | 2 2 2 2 | 1 2 4 4 1 4 4 1 2 1 | 1 2 2 4 4 2 4 2 2 2 2 4 2 1 | 2 2 1 2 1 2 4 2 2 1 2 1 2 | 1 2 1 1 2 1 ------------+-----+-----------------+-----------------------------------+-------------------------------------------+----------------------------------------+------------ x . . . . . | 2 | 144 * * * | 1 1 2 2 0 0 0 0 0 0 | 1 2 2 2 2 1 2 1 0 0 0 0 0 0 | 2 2 1 2 1 1 2 1 1 0 0 0 0 | 1 2 1 1 1 0 . . x . . . | 2 | * 144 * * | 0 1 0 0 1 2 2 0 0 0 | 1 0 0 2 2 0 0 0 2 2 1 2 1 0 | 2 2 0 0 0 1 2 1 0 1 2 1 1 | 1 2 1 0 1 1 . . . x . . | 2 | * * 144 * | 0 0 2 0 0 2 0 1 1 0 | 0 1 0 2 0 2 2 0 1 0 2 2 0 1 | 1 0 1 1 0 2 2 0 2 1 1 0 2 | 1 1 0 1 2 1 . . . . . x | 2 | * * * 144 | 0 0 0 2 0 0 2 0 1 1 | 0 0 1 0 2 0 2 2 0 1 0 2 2 1 | 0 1 0 1 1 0 2 2 2 0 1 1 2 | 0 1 1 1 2 1 ------------+-----+-----------------+-----------------------------------+-------------------------------------------+----------------------------------------+------------ x3o . . . . | 3 | 3 0 0 0 | 48 * * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 x . x . . . | 4 | 2 2 0 0 | * 72 * * * * * * * * | 1 0 0 2 2 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 1 2 1 0 0 0 0 0 | 1 2 1 0 1 0 x . . x . . | 4 | 2 0 2 0 | * * 144 * * * * * * * | 0 1 0 1 0 1 1 0 0 0 0 0 0 0 | 1 0 1 1 0 1 1 0 1 0 0 0 0 | 1 1 0 1 1 0 x . . . . x | 4 | 2 0 0 2 | * * * 144 * * * * * * | 0 0 1 0 1 0 1 1 0 0 0 0 0 0 | 0 1 0 1 1 0 1 1 1 0 0 0 0 | 0 1 1 1 1 0 . o3x . . . | 3 | 0 3 0 0 | * * * * 48 * * * * * | 1 0 0 0 0 0 0 0 2 2 0 0 0 0 | 2 2 0 0 0 0 0 0 0 1 2 1 0 | 1 2 1 0 0 1 . . x x . . | 4 | 0 2 2 0 | * * * * * 144 * * * * | 0 0 0 1 0 0 0 0 1 0 1 1 0 0 | 1 0 0 0 0 1 1 0 0 1 1 0 1 | 1 1 0 0 1 1 . . x . . x | 4 | 0 2 0 2 | * * * * * * 144 * * * | 0 0 0 0 1 0 0 0 0 1 0 1 1 0 | 0 1 0 0 0 0 1 1 0 0 1 1 1 | 0 1 1 0 1 1 . . . x3o . | 3 | 0 0 3 0 | * * * * * * * 48 * * | 0 0 0 0 0 2 0 0 0 0 2 0 0 1 | 0 0 1 0 0 2 0 0 2 1 0 0 2 | 1 0 0 1 2 1 . . . x . x | 4 | 0 0 2 2 | * * * * * * * * 72 * | 0 0 0 0 0 0 2 0 0 0 0 2 0 1 | 0 0 0 1 0 0 2 0 2 0 1 0 2 | 0 1 0 1 2 1 . . . . o3x | 3 | 0 0 0 3 | * * * * * * * * * 48 | 0 0 0 0 0 0 0 2 0 0 0 0 2 1 | 0 0 0 0 1 0 0 2 2 0 0 1 2 | 0 0 1 1 2 1 ------------+-----+-----------------+-----------------------------------+-------------------------------------------+----------------------------------------+------------ x3o3x . . . ♦ 12 | 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 12 * * * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x3o . x . . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 0 0 | * 48 * * * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x3o . . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 0 0 | * * 48 * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 x . x x . . ♦ 8 | 4 4 4 0 | 0 2 2 0 0 2 0 0 0 0 | * * * 72 * * * * * * * * * * | 1 0 0 0 0 1 1 0 0 0 0 0 0 | 1 1 0 0 1 0 x . x . . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 0 2 0 0 0 | * * * * 72 * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0 x . . x3o . ♦ 6 | 3 0 6 0 | 0 0 3 0 0 0 0 2 0 0 | * * * * * 48 * * * * * * * * | 0 0 1 0 0 1 0 0 1 0 0 0 0 | 1 0 0 1 1 0 x . . x . x ♦ 8 | 4 0 4 4 | 0 0 2 2 0 0 0 0 2 0 | * * * * * * 72 * * * * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0 x . . . o3x ♦ 6 | 3 0 0 6 | 0 0 0 3 0 0 0 0 0 2 | * * * * * * * 48 * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 | 0 0 1 1 1 0 . o3x x . . ♦ 6 | 0 6 3 0 | 0 0 0 0 2 3 0 0 0 0 | * * * * * * * * 48 * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 | 1 1 0 0 0 1 . o3x . . x ♦ 6 | 0 6 0 3 | 0 0 0 0 2 0 3 0 0 0 | * * * * * * * * * 48 * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1 . . x x3o . ♦ 6 | 0 3 6 0 | 0 0 0 0 0 3 0 2 0 0 | * * * * * * * * * * 48 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 1 | 1 0 0 0 1 1 . . x x . x ♦ 8 | 0 4 4 4 | 0 0 0 0 0 2 2 0 2 0 | * * * * * * * * * * * 72 * * | 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 1 0 0 1 1 . . x . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 1 0 1 1 . . . x3o3x ♦ 12 | 0 0 12 12 | 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 2 0 0 0 2 | 0 0 0 1 2 1 ------------+-----+-----------------+-----------------------------------+-------------------------------------------+----------------------------------------+------------ x3o3x x . . ♦ 24 | 24 24 12 0 | 8 12 12 0 8 12 0 0 0 0 | 2 4 0 6 0 0 0 0 4 0 0 0 0 0 | 12 * * * * * * * * * * * * | 1 1 0 0 0 0 x3o3x . . x ♦ 24 | 24 24 0 12 | 8 12 0 12 8 0 12 0 0 0 | 2 0 4 0 6 0 0 0 0 4 0 0 0 0 | * 12 * * * * * * * * * * * | 0 1 1 0 0 0 x3o . x3o . ♦ 9 | 9 0 9 0 | 3 0 9 0 0 0 0 3 0 0 | 0 3 0 0 0 3 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * * * * | 1 0 0 1 0 0 x3o . x . x ♦ 12 | 12 0 6 6 | 4 0 6 6 0 0 0 0 3 0 | 0 2 2 0 0 0 3 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * | 0 1 0 1 0 0 x3o . . o3x ♦ 9 | 9 0 0 9 | 3 0 0 9 0 0 0 0 0 3 | 0 0 3 0 0 0 0 3 0 0 0 0 0 0 | * * * * 16 * * * * * * * * | 0 0 1 1 0 0 x . x x3o . ♦ 12 | 6 6 12 0 | 0 3 6 0 0 6 0 4 0 0 | 0 0 0 3 0 2 0 0 0 0 2 0 0 0 | * * * * * 24 * * * * * * * | 1 0 0 0 1 0 x . x x . x ♦ 16 | 8 8 8 8 | 0 4 4 4 0 4 4 0 4 0 | 0 0 0 2 2 0 2 0 0 0 0 2 0 0 | * * * * * * 36 * * * * * * | 0 1 0 0 1 0 x . x . o3x ♦ 12 | 6 6 0 12 | 0 3 0 6 0 0 6 0 0 4 | 0 0 0 0 3 0 0 2 0 0 0 0 2 0 | * * * * * * * 24 * * * * * | 0 0 1 0 1 0 x . . x3o3x ♦ 24 | 12 0 24 24 | 0 0 12 12 0 0 0 8 12 8 | 0 0 0 0 0 4 6 4 0 0 0 0 0 2 | * * * * * * * * 12 * * * * | 0 0 0 1 1 0 . o3x x3o . ♦ 9 | 0 9 9 0 | 0 0 0 0 3 9 0 3 0 0 | 0 0 0 0 0 0 0 0 3 0 3 0 0 0 | * * * * * * * * * 16 * * * | 1 0 0 0 0 1 . o3x x . x ♦ 12 | 0 12 6 6 | 0 0 0 0 4 6 6 0 3 0 | 0 0 0 0 0 0 0 0 2 2 0 3 0 0 | * * * * * * * * * * 24 * * | 0 1 0 0 0 1 . o3x . o3x ♦ 9 | 0 9 0 9 | 0 0 0 0 3 0 9 0 0 3 | 0 0 0 0 0 0 0 0 0 3 0 0 3 0 | * * * * * * * * * * * 16 * | 0 0 1 0 0 1 . . x x3o3x ♦ 24 | 0 12 24 24 | 0 0 0 0 0 12 12 8 12 8 | 0 0 0 0 0 0 0 0 0 0 4 6 4 2 | * * * * * * * * * * * * 12 | 0 0 0 0 1 1 ------------+-----+-----------------+-----------------------------------+-------------------------------------------+----------------------------------------+------------ x3o3x x3o . ♦ 36 | 36 36 36 0 | 12 18 36 0 12 36 0 12 0 0 | 3 12 0 18 0 12 0 0 12 0 12 0 0 0 | 3 0 4 0 0 6 0 0 0 4 0 0 0 | 4 * * * * * x3o3x x . x ♦ 48 | 48 48 24 24 | 16 24 24 24 16 24 24 0 12 0 | 4 8 8 12 12 0 12 0 8 8 0 12 0 0 | 2 2 0 4 0 0 6 0 0 0 4 0 0 | * 6 * * * * x3o3x . o3x ♦ 36 | 36 36 0 36 | 12 18 0 36 12 0 36 0 0 12 | 3 0 12 0 18 0 0 12 0 12 0 0 12 0 | 0 3 0 0 4 0 0 6 0 0 0 4 0 | * * 4 * * * x3o . x3o3x ♦ 36 | 36 0 36 36 | 12 0 36 36 0 0 0 12 18 12 | 0 12 12 0 0 12 18 12 0 0 0 0 0 3 | 0 0 4 6 4 0 0 0 3 0 0 0 0 | * * * 4 * * x . x x3o3x ♦ 48 | 24 24 48 48 | 0 12 24 24 0 24 24 16 24 16 | 0 0 0 12 12 8 12 8 0 0 8 12 8 4 | 0 0 0 0 0 4 6 4 2 0 0 0 2 | * * * * 6 * . o3x x3o3x ♦ 36 | 0 36 36 36 | 0 0 0 0 12 36 36 12 18 12 | 0 0 0 0 0 0 0 0 12 12 12 18 12 3 | 0 0 0 0 0 0 0 0 0 4 6 4 3 | * * * * * 4
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