Acronym | codoe |
Name | cuboctahedron-dodecahedron duoprism |
Circumradius | sqrt[(17+3 sqrt(5))/8] = 1.721489 |
Face vector | 240, 840, 1144, 740, 222, 26 |
Confer |
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Incidence matrix according to Dynkin symbol
o3x4o o3o5x . . . . . . | 240 | 4 3 | 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 ------------+-----+---------+-----------------+-------------------+-------------+------- . x . . . . | 2 | 480 * | 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 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 | 160 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . x4o . . . | 4 | 4 0 | * 120 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . x . . . x | 4 | 2 2 | * * 720 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . . o5x | 5 | 0 5 | * * * 144 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 ------------+-----+---------+-----------------+-------------------+-------------+------- o3x4o . . . ♦ 12 | 24 0 | 8 6 0 0 | 20 * * * * | 3 0 0 0 | 3 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 . . o5x ♦ 10 | 5 10 | 0 0 5 2 | * * * 288 * | 0 1 1 1 | 1 1 1 . . . o3o5x ♦ 20 | 0 30 | 0 0 0 12 | * * * * 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 . . o5x ♦ 15 | 15 15 | 5 0 15 3 | 0 5 0 3 0 | * 96 * * | 1 1 0 . x4o . o5x ♦ 20 | 20 20 | 0 5 20 4 | 0 0 5 4 0 | * * 72 * | 1 0 1 . x . o3o5x ♦ 40 | 20 60 | 0 0 30 24 | 0 0 0 12 2 | * * * 24 | 0 1 1 ------------+-----+---------+-----------------+-------------------+-------------+------- o3x4o . o5x ♦ 60 | 120 60 | 40 30 120 12 | 5 40 30 24 0 | 5 8 6 0 | 12 * * o3x . o3o5x ♦ 60 | 60 90 | 20 0 90 36 | 0 30 0 36 3 | 0 12 0 3 | * 8 * . x4o o3o5x ♦ 80 | 80 120 | 0 20 120 48 | 0 0 30 48 4 | 0 0 12 4 | * * 6
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