Acronym | ikid |
Name | icosahedron-icosidodecahedron duoprism |
Circumradius | sqrt[(17+5 sqrt(5))/8] = 1.876844 |
Face vector | 360, 1620, 2784, 2202, 730, 52 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o5o o3x5o . . . . . . | 360 | 5 4 | 5 20 2 2 | 1 20 10 10 1 | 4 10 10 5 | 2 2 5 ------------+-----+---------+------------------+--------------------+---------------+--------- x . . . . . | 2 | 900 * | 2 4 0 0 | 1 8 2 2 0 | 4 4 4 1 | 2 2 2 . . . . x . | 2 | * 720 | 0 5 1 1 | 0 5 5 5 1 | 1 5 5 5 | 1 1 5 ------------+-----+---------+------------------+--------------------+---------------+--------- x3o . . . . | 3 | 3 0 | 600 * * * | 1 4 0 0 0 | 4 2 2 0 | 2 2 1 x . . . x . | 4 | 2 2 | * 1800 * * | 0 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3x . | 3 | 0 3 | * * 240 * | 0 0 5 0 1 | 0 5 0 5 | 1 0 5 . . . . x5o | 5 | 0 5 | * * * 144 | 0 0 0 5 1 | 0 0 5 5 | 0 1 5 ------------+-----+---------+------------------+--------------------+---------------+--------- x3o5o . . . ♦ 12 | 30 0 | 20 0 0 0 | 30 * * * * | 4 0 0 0 | 2 2 0 x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 1200 * * * | 1 1 1 0 | 1 1 1 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 600 * * | 0 2 0 1 | 1 0 2 x . . . x5o ♦ 10 | 5 10 | 0 5 0 2 | * * * 360 * | 0 0 2 1 | 0 1 2 . . . o3x5o ♦ 30 | 0 60 | 0 0 20 12 | * * * * 12 | 0 0 0 5 | 0 0 5 ------------+-----+---------+------------------+--------------------+---------------+--------- x3o5o . x . ♦ 24 | 60 12 | 40 30 0 0 | 2 20 0 0 0 | 60 * * * | 1 1 0 x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 | * 400 * * | 1 0 1 x3o . . x5o ♦ 15 | 15 15 | 5 15 0 3 | 0 5 0 3 0 | * * 240 * | 0 1 1 x . . o3x5o ♦ 60 | 30 120 | 0 60 40 24 | 0 0 20 12 2 | * * * 30 | 0 0 2 ------------+-----+---------+------------------+--------------------+---------------+--------- x3o5o o3x . ♦ 36 | 90 36 | 60 90 12 0 | 3 60 30 0 0 | 3 20 0 0 | 20 * * x3o5o . x5o ♦ 60 | 150 60 | 100 150 0 12 | 5 100 0 30 0 | 5 0 20 0 | * 12 * x3o . o3x5o ♦ 90 | 90 180 | 30 180 60 36 | 0 60 60 36 3 | 0 20 12 3 | * * 20
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