Acronym | squatid |
Name | square - truncated-dodecahedron duoprism |
Circumradius | sqrt[(41+15 sqrt(5))/8] = 3.052479 |
Face vector | 240, 600, 548, 222, 36 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x4o o3x5x . . . . . | 240 | 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ----------+-----+-------------+------------------+---------------+-------- x . . . . | 2 | 240 * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . . x . | 2 | * 240 * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x | 2 | * * 120 | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ----------+-----+-------------+------------------+---------------+-------- x4o . . . | 4 | 4 0 0 | 60 * * * * | 2 1 0 0 0 | 1 2 0 x . . x . | 4 | 2 2 0 | * 240 * * * | 1 0 1 1 0 | 1 1 1 x . . . x | 4 | 2 0 2 | * * 120 * * | 0 1 0 2 0 | 0 2 1 . . o3x . | 3 | 0 3 0 | * * * 80 * | 0 0 2 0 1 | 1 0 2 . . . x5x | 10 | 0 5 5 | * * * * 48 | 0 0 0 2 1 | 0 1 2 ----------+-----+-------------+------------------+---------------+-------- x4o . x . ♦ 8 | 8 4 0 | 2 4 0 0 0 | 60 * * * * | 1 1 0 x4o . . x ♦ 8 | 8 0 4 | 2 0 4 0 0 | * 30 * * * | 0 2 0 x . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 | * * 80 * * | 1 0 1 x . . x5x ♦ 20 | 10 10 10 | 0 5 5 0 2 | * * * 48 * | 0 1 1 . . o3x5x ♦ 60 | 0 60 30 | 0 0 0 20 12 | * * * * 4 | 0 0 2 ----------+-----+-------------+------------------+---------------+-------- x4o o3x . ♦ 12 | 12 12 0 | 3 12 0 4 0 | 3 0 4 0 0 | 20 * * x4o . x5x ♦ 40 | 40 20 20 | 10 20 20 0 4 | 5 5 0 4 0 | * 12 * x . o3x5x ♦ 120 | 60 120 60 | 0 60 30 40 24 | 0 0 20 12 2 | * * 4
x x o3x5x . . . . . | 240 | 1 1 2 1 | 1 2 1 2 1 1 2 | 2 1 1 2 1 2 1 | 1 2 1 1 ----------+-----+-----------------+------------------------+---------------------+---------- x . . . . | 2 | 120 * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 . x . . . | 2 | * 120 * * | 1 0 0 2 1 0 0 | 2 1 0 0 1 2 0 | 1 2 0 1 . . . x . | 2 | * * 240 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1 . . . . x | 2 | * * * 120 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1 ----------+-----+-----------------+------------------------+---------------------+---------- x x . . . | 4 | 2 2 0 0 | 60 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 x . . x . | 4 | 2 0 2 0 | * 120 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 x . . . x | 4 | 2 0 0 2 | * * 60 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0 . x . x . | 4 | 0 2 2 0 | * * * 120 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 60 * * | 0 1 0 0 0 2 0 | 0 2 0 1 . . o3x . | 3 | 0 0 3 0 | * * * * * 80 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x5x | 10 | 0 0 5 5 | * * * * * * 48 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+-----+-----------------+------------------------+---------------------+---------- x x . x . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 | 60 * * * * * * | 1 1 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 30 * * * * * | 0 2 0 0 x . o3x . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 | * * 40 * * * * | 1 0 1 0 x . . x5x ♦ 20 | 10 0 10 10 | 0 5 5 0 0 0 2 | * * * 24 * * * | 0 1 1 0 . x o3x . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 | * * * * 40 * * | 1 0 0 1 . x . x5x ♦ 20 | 0 10 10 10 | 0 0 0 5 5 0 2 | * * * * * 24 * | 0 1 0 1 . . o3x5x ♦ 60 | 0 0 60 30 | 0 0 0 0 0 20 12 | * * * * * * 4 | 0 0 1 1 ----------+-----+-----------------+------------------------+---------------------+---------- x x o3x . ♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 | 3 0 2 0 2 0 0 | 20 * * * x x . x5x ♦ 40 | 20 20 20 20 | 10 10 10 10 10 0 4 | 5 5 0 2 0 2 0 | * 12 * * x . o3x5x ♦ 120 | 60 0 120 60 | 0 60 30 0 0 40 24 | 0 0 20 12 0 0 2 | * * 2 * . x o3x5x ♦ 120 | 0 60 120 60 | 0 0 0 60 30 40 24 | 0 0 0 0 20 12 2 | * * * 2
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