| Acronym | coike |
| Name | cuboctahedron-icosahedron duoprism |
| Circumradius | sqrt[(13+sqrt(5))/8] = 1.380039 |
| Face vector | 144, 648, 1128, 924, 334, 34 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3x4o x3o5o . . . . . . | 144 | 4 5 | 2 2 20 5 | 1 10 10 20 1 | 5 10 10 4 | 5 2 2 ------------+-----+---------+---------------+-------------------+---------------+------- . x . . . . | 2 | 288 * | 1 1 5 0 | 1 5 5 5 0 | 5 5 5 1 | 5 1 1 . . . x . . | 2 | * 360 | 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 ------------+-----+---------+---------------+-------------------+---------------+------- o3x . . . . | 3 | 3 0 | 96 * * * | 1 5 0 0 0 | 5 5 0 0 | 5 1 0 . x4o . . . | 4 | 4 0 | * 72 * * | 1 0 5 0 0 | 5 0 5 0 | 5 0 1 . x . x . . | 4 | 2 2 | * * 720 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o . | 3 | 0 3 | * * * 240 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 ------------+-----+---------+---------------+-------------------+---------------+------- o3x4o . . . ♦ 12 | 24 0 | 8 6 0 0 | 12 * * * * | 5 0 0 0 | 5 0 0 o3x . x . . ♦ 6 | 6 3 | 2 0 3 0 | * 240 * * * | 1 2 0 0 | 2 1 0 . x4o x . . ♦ 8 | 8 4 | 0 2 4 0 | * * 180 * * | 1 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 3 6 | 0 0 3 2 | * * * 480 * | 0 1 1 1 | 1 1 1 . . . x3o5o ♦ 12 | 0 30 | 0 0 0 20 | * * * * 12 | 0 0 0 4 | 0 2 2 ------------+-----+---------+---------------+-------------------+---------------+------- o3x4o x . . ♦ 24 | 48 12 | 16 12 24 0 | 2 8 6 0 0 | 30 * * * | 2 0 0 o3x . x3o . ♦ 9 | 9 9 | 3 0 9 3 | 0 3 0 3 0 | * 160 * * | 1 1 0 . x4o x3o . ♦ 12 | 12 12 | 0 3 12 4 | 0 0 3 4 0 | * * 120 * | 1 0 1 . x . x3o5o ♦ 24 | 12 60 | 0 0 30 40 | 0 0 0 20 2 | * * * 24 | 0 1 1 ------------+-----+---------+---------------+-------------------+---------------+------- o3x4o x3o . ♦ 36 | 72 36 | 24 18 72 12 | 3 24 18 24 0 | 3 8 6 0 | 20 * * o3x . x3o5o ♦ 36 | 36 90 | 12 0 90 60 | 0 30 0 60 3 | 0 20 0 3 | * 8 * . x4o x3o5o ♦ 48 | 48 120 | 0 12 120 80 | 0 0 30 80 4 | 0 0 20 4 | * * 6
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