Acronym | tradope |
Name | triangle-dodecahedron duoprismatic prism |
Circumradius | sqrt[(41+9 sqrt(5))/24] = 1.595888 |
Face vector | 120, 360, 442, 284, 99, 17 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3o o3o5x . . . . . . | 120 | 1 2 3 | 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1 ------------+-----+------------+-----------------+------------------+--------------+------- x . . . . . | 2 | 60 * * | 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . x . . . . | 2 | * 120 * | 1 0 1 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1 . . . . . x | 2 | * * 180 | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+-----+------------+-----------------+------------------+--------------+------- x x . . . . | 4 | 2 2 0 | 60 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . . . x | 4 | 2 0 2 | * 90 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x3o . . . | 3 | 0 3 0 | * * 40 * * | 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1 . x . . . x | 4 | 0 2 2 | * * * 180 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . . o5x | 5 | 0 0 5 | * * * * 72 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+-----+------------+-----------------+------------------+--------------+------- x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 20 * * * * * | 3 0 0 0 0 | 3 0 0 x x . . . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 90 * * * * | 1 2 0 0 0 | 2 1 0 x . . . o5x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 36 * * * | 0 2 1 0 0 | 1 2 0 . x3o . . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 60 * * | 1 0 0 2 0 | 2 0 1 . x . . o5x ♦ 10 | 0 5 10 | 0 0 0 5 2 | * * * * 72 * | 0 1 0 1 1 | 1 1 1 . . . o3o5x ♦ 20 | 0 0 30 | 0 0 0 0 12 | * * * * * 6 | 0 0 1 0 2 | 0 2 1 ------------+-----+------------+-----------------+------------------+--------------+------- x x3o . . x ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 2 0 0 | 30 * * * * | 2 0 0 x x . . o5x ♦ 20 | 10 10 20 | 5 10 0 10 4 | 0 5 2 0 2 0 | * 36 * * * | 1 1 0 x . . o3o5x ♦ 40 | 20 0 60 | 0 30 0 0 24 | 0 0 12 0 0 2 | * * 3 * * | 0 2 0 . x3o . o5x ♦ 15 | 0 15 15 | 0 0 5 15 3 | 0 0 0 5 3 0 | * * * 24 * | 1 0 1 . x . o3o5x ♦ 40 | 0 20 60 | 0 0 0 30 24 | 0 0 0 0 12 2 | * * * * 6 | 0 1 1 ------------+-----+------------+-----------------+------------------+--------------+------- x x3o . o5x ♦ 30 | 15 30 30 | 15 15 10 30 6 | 5 15 3 10 6 0 | 5 3 0 2 0 | 12 * * x x . o3o5x ♦ 80 | 40 40 120 | 20 60 0 60 48 | 0 30 24 0 24 4 | 0 12 2 0 2 | * 3 * . x3o o3o5x ♦ 60 | 0 60 90 | 0 0 20 90 36 | 0 0 0 30 36 3 | 0 0 0 12 3 | * * 2
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