Acronym | coid |
Name | cuboctahedron-icosidodecahedron duoprism |
Circumradius | sqrt[(5+sqrt(5))/2] = 1.902113 |
Face vector | 360, 1440, 2244, 1650, 532, 46 |
Confer |
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Incidence matrix according to Dynkin symbol
o3x4o o3x5o . . . . . . | 360 | 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 | 720 * | 1 1 4 0 0 | 1 4 4 2 2 0 | 4 2 2 2 2 1 | 2 2 1 1 . . . . x . | 2 | * 720 | 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 | 240 * * * * | 1 4 0 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . x4o . . . | 4 | 4 0 | * 180 * * * | 1 0 4 0 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . x . . x . | 4 | 2 2 | * * 1440 * * | 0 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 240 * | 0 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . x5o | 5 | 0 5 | * * * * 144 | 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 | 30 * * * * * | 4 0 0 0 0 0 | 2 2 0 0 o3x . . x . ♦ 6 | 6 3 | 2 0 3 0 0 | * 480 * * * * | 1 1 1 0 0 0 | 1 1 1 0 . x4o . x . ♦ 8 | 8 4 | 0 2 4 0 0 | * * 360 * * * | 1 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * 480 * * | 0 1 0 1 0 1 | 1 0 1 1 . x . . x5o ♦ 10 | 5 10 | 0 0 5 0 2 | * * * * 288 * | 0 0 1 0 1 1 | 0 1 1 1 . . . o3x5o ♦ 30 | 0 60 | 0 0 0 20 12 | * * * * * 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 | 60 * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 3 0 0 | * 160 * * * * | 1 0 1 0 o3x . . x5o ♦ 15 | 15 15 | 5 0 15 0 3 | 0 5 0 0 3 0 | * * 96 * * * | 0 1 1 0 . x4o o3x . ♦ 12 | 12 12 | 0 3 12 4 0 | 0 0 3 4 0 0 | * * * 120 * * | 1 0 0 1 . x4o . x5o ♦ 20 | 20 20 | 0 5 20 0 4 | 0 0 5 0 4 0 | * * * * 72 * | 0 1 0 1 . x . o3x5o ♦ 60 | 30 120 | 0 0 60 40 24 | 0 0 0 20 12 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 | 20 * * * o3x4o . x5o ♦ 60 | 120 60 | 40 30 120 0 12 | 5 40 30 0 24 0 | 5 0 8 0 6 0 | * 12 * * o3x . o3x5o ♦ 90 | 90 180 | 30 0 180 60 36 | 0 60 0 60 36 3 | 0 20 12 0 0 3 | * * 8 * . x4o o3x5o ♦ 120 | 120 240 | 0 30 240 80 48 | 0 0 60 80 48 4 | 0 0 0 20 12 4 | * * * 6
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