| Acronym | copen |
| Name | cuboctahedron - pentachoron duoprism |
| Circumradius | sqrt(7/5) = 1.183216 |
| Volume | 5 sqrt(10)/288 = 0.054901 |
| Face vector | 60, 240, 430, 445, 282, 104, 19 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3x4o x3o3o3o . . . . . . . | 60 | 4 4 | 2 2 16 6 | 1 8 8 24 4 | 4 12 12 16 1 | 6 8 8 4 | 4 2 2 --------------+----+---------+---------------+----------------+-----------------+-------------+------ . x . . . . . | 2 | 120 * | 1 1 4 0 | 1 4 4 6 0 | 4 6 6 4 0 | 6 4 4 1 | 4 1 1 . . . x . . . | 2 | * 120 | 0 0 4 3 | 0 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 --------------+----+---------+---------------+----------------+-----------------+-------------+------ o3x . . . . . | 3 | 3 0 | 40 * * * | 1 4 0 0 0 | 4 6 0 0 0 | 6 4 0 0 | 4 1 0 . x4o . . . . | 4 | 4 0 | * 30 * * | 1 0 4 0 0 | 4 0 6 0 0 | 6 0 4 0 | 4 0 1 . x . x . . . | 4 | 2 2 | * * 240 * | 0 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . x3o . . | 3 | 0 3 | * * * 120 | 0 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 --------------+----+---------+---------------+----------------+-----------------+-------------+------ o3x4o . . . . ♦ 12 | 24 0 | 8 6 0 0 | 5 * * * * ♦ 4 0 0 0 0 | 6 0 0 0 | 4 0 0 o3x . x . . . ♦ 6 | 6 3 | 2 0 3 0 | * 80 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . x4o x . . . ♦ 8 | 8 4 | 0 2 4 0 | * * 60 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . x . x3o . . ♦ 6 | 3 6 | 0 0 3 2 | * * * 240 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * * 60 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 --------------+----+---------+---------------+----------------+-----------------+-------------+------ o3x4o x . . . ♦ 24 | 48 12 | 16 12 24 0 | 2 8 6 0 0 | 10 * * * * | 3 0 0 0 | 3 0 0 o3x . x3o . . ♦ 9 | 9 9 | 3 0 9 3 | 0 3 0 3 0 | * 80 * * * | 1 2 0 0 | 2 1 0 . x4o x3o . . ♦ 12 | 12 12 | 0 3 12 4 | 0 0 3 4 0 | * * 60 * * | 1 0 2 0 | 2 0 1 . x . x3o3o . ♦ 8 | 4 12 | 0 0 6 8 | 0 0 0 4 2 | * * * 120 * | 0 1 1 1 | 1 1 1 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * 12 | 0 0 0 4 | 0 2 2 --------------+----+---------+---------------+----------------+-----------------+-------------+------ o3x4o x3o . . ♦ 36 | 72 36 | 24 18 72 12 | 3 24 18 24 0 | 3 8 6 0 0 | 10 * * * | 2 0 0 o3x . x3o3o . ♦ 12 | 12 18 | 4 0 18 12 | 0 6 0 12 3 | 0 4 0 3 0 | * 40 * * | 1 1 0 . x4o x3o3o . ♦ 16 | 16 24 | 0 4 24 16 | 0 0 6 16 4 | 0 0 4 4 0 | * * 30 * | 1 0 1 . x . x3o3o3o ♦ 10 | 5 20 | 0 0 10 20 | 0 0 0 10 10 | 0 0 0 5 2 | * * * 24 | 0 1 1 --------------+----+---------+---------------+----------------+-----------------+-------------+------ o3x4o x3o3o . ♦ 48 | 96 72 | 32 24 144 48 | 4 48 36 96 12 | 6 32 24 24 0 | 4 8 6 0 | 5 * * o3x . x3o3o3o ♦ 15 | 15 30 | 5 0 30 30 | 0 10 0 30 15 | 0 10 0 15 3 | 0 5 0 3 | * 8 * . x4o x3o3o3o ♦ 20 | 20 40 | 0 5 40 40 | 0 0 10 40 20 | 0 0 10 20 4 | 0 0 5 4 | * * 6
x3o3x x3o3o3o . . . . . . . | 60 | 2 2 4 | 1 2 8 1 8 6 | 1 4 8 12 4 12 4 | 4 6 12 8 6 8 1 | 6 4 8 2 4 2 | 4 1 2 1 --------------+----+-----------+----------------------+-----------------------+----------------------+-------------------+-------- x . . . . . . | 2 | 60 * * | 1 1 4 0 0 0 | 1 4 4 6 0 0 0 | 4 6 6 4 0 0 0 | 6 4 4 1 0 0 | 4 1 1 0 . . x . . . . | 2 | * 60 * | 0 1 0 1 4 0 | 1 0 4 0 4 6 0 | 4 0 6 0 6 4 0 | 6 0 4 0 4 1 | 4 0 1 1 . . . x . . . | 2 | * * 120 | 0 0 2 0 2 3 | 0 1 2 6 1 6 3 | 1 3 6 6 3 6 1 | 3 3 6 2 3 2 | 3 1 2 1 --------------+----+-----------+----------------------+-----------------------+----------------------+-------------------+-------- x3o . . . . . | 3 | 3 0 0 | 20 * * * * * | 1 4 0 0 0 0 0 | 4 6 0 0 0 0 0 | 6 4 0 0 0 0 | 4 1 0 0 x . x . . . . | 4 | 2 2 0 | * 30 * * * * | 1 0 4 0 0 0 0 | 4 0 6 0 0 0 0 | 6 0 4 0 0 0 | 4 0 1 0 x . . x . . . | 4 | 2 0 2 | * * 120 * * * | 0 1 1 3 0 0 0 | 1 3 3 3 0 0 0 | 3 3 3 1 0 0 | 3 1 1 0 . o3x . . . . | 3 | 0 3 0 | * * * 20 * * | 1 0 0 0 4 0 0 | 4 0 0 0 6 0 0 | 6 0 0 0 4 0 | 4 0 0 1 . . x x . . . | 4 | 0 2 2 | * * * * 120 * | 0 0 1 0 1 3 0 | 1 0 3 0 3 3 0 | 3 0 3 0 3 1 | 3 0 1 1 . . . x3o . . | 3 | 0 0 3 | * * * * * 120 | 0 0 0 2 0 2 2 | 0 1 2 4 1 4 1 | 1 2 4 2 2 2 | 2 1 2 1 --------------+----+-----------+----------------------+-----------------------+----------------------+-------------------+-------- x3o3x . . . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | 5 * * * * * * ♦ 4 0 0 0 0 0 0 | 6 0 0 0 0 0 | 4 0 0 0 x3o . x . . . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 40 * * * * * | 1 3 0 0 0 0 0 | 3 3 0 0 0 0 | 3 1 0 0 x . x x . . . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * 60 * * * * | 1 0 3 0 0 0 0 | 3 0 3 0 0 0 | 3 0 1 0 x . . x3o . . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * 120 * * * | 0 1 1 2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0 . o3x x . . . ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * 40 * * | 1 0 0 0 3 0 0 | 3 0 0 0 3 0 | 3 0 0 1 . . x x3o . . ♦ 6 | 0 3 6 | 0 0 0 0 3 2 | * * * * * 120 * | 0 0 1 0 1 2 0 | 1 0 2 0 2 1 | 2 0 1 1 . . . x3o3o . ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * 60 | 0 0 0 2 0 2 1 | 0 1 2 2 1 2 | 1 1 2 1 --------------+----+-----------+----------------------+-----------------------+----------------------+-------------------+-------- x3o3x x . . . ♦ 24 | 24 24 12 | 8 12 12 8 12 0 | 2 4 6 0 4 0 0 | 10 * * * * * * | 3 0 0 0 0 0 | 3 0 0 0 x3o . x3o . . ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 3 0 3 0 0 0 | * 40 * * * * * | 1 2 0 0 0 0 | 2 1 0 0 x . x x3o . . ♦ 12 | 6 6 12 | 0 3 6 0 6 4 | 0 0 3 2 0 2 0 | * * 60 * * * * | 1 0 2 0 0 0 | 2 0 1 0 x . . x3o3o . ♦ 8 | 4 0 12 | 0 0 6 0 0 8 | 0 0 0 4 0 0 2 | * * * 60 * * * | 0 1 1 1 0 0 | 1 1 1 0 . o3x x3o . . ♦ 9 | 0 9 9 | 0 0 0 3 9 3 | 0 0 0 0 3 3 0 | * * * * 40 * * | 1 0 0 0 2 0 | 2 0 0 1 . . x x3o3o . ♦ 8 | 0 4 12 | 0 0 0 0 6 8 | 0 0 0 0 0 4 2 | * * * * * 60 * | 0 0 1 0 1 1 | 1 0 1 1 . . . x3o3o3o ♦ 5 | 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * 12 | 0 0 0 2 0 2 | 0 1 2 1 --------------+----+-----------+----------------------+-----------------------+----------------------+-------------------+-------- x3o3x x3o . . ♦ 36 | 36 36 36 | 12 18 36 12 36 12 | 3 12 18 12 12 12 0 | 3 4 6 0 4 0 0 | 10 * * * * * | 2 0 0 0 x3o . x3o3o . ♦ 12 | 12 0 18 | 4 0 18 0 0 12 | 0 6 0 12 0 0 3 | 0 4 0 3 0 0 0 | * 20 * * * * | 1 1 0 0 x . x x3o3o . ♦ 16 | 8 8 24 | 0 4 12 0 12 16 | 0 0 6 8 0 8 4 | 0 0 4 2 0 2 0 | * * 30 * * * | 1 0 1 0 x . . x3o3o3o ♦ 10 | 5 0 20 | 0 0 10 0 0 20 | 0 0 0 10 0 0 10 | 0 0 0 5 0 0 2 | * * * 12 * * | 0 1 1 0 . o3x x3o3o . ♦ 12 | 0 12 18 | 0 0 0 4 18 12 | 0 0 0 0 6 12 3 | 0 0 0 0 4 3 0 | * * * * 20 * | 1 0 0 1 . . x x3o3o3o ♦ 10 | 0 5 20 | 0 0 0 0 10 20 | 0 0 0 0 0 10 10 | 0 0 0 0 0 5 2 | * * * * * 12 | 0 0 1 1 --------------+----+-----------+----------------------+-----------------------+----------------------+-------------------+-------- x3o3x x3o3o . ♦ 48 | 48 48 72 | 16 24 72 16 72 48 | 4 24 36 48 24 48 12 | 6 16 24 12 16 12 0 | 4 4 6 0 4 0 | 5 * * * x3o . x3o3o3o ♦ 15 | 15 0 30 | 5 0 30 0 0 30 | 0 10 0 30 0 0 15 | 0 10 0 15 0 0 3 | 0 5 0 3 0 0 | * 4 * * x . x x3o3o3o ♦ 20 | 10 10 40 | 0 5 20 0 20 40 | 0 0 10 20 0 20 20 | 0 0 10 10 0 10 4 | 0 0 5 2 0 2 | * * 6 * . o3x x3o3o3o ♦ 15 | 0 15 30 | 0 0 0 5 30 30 | 0 0 0 0 10 30 15 | 0 0 0 0 10 15 3 | 0 0 0 0 5 3 | * * * 4
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