Acronym | octike |
Name | octahedron-icosahedron duoprism |
Circumradius | sqrt[(9+sqrt(5))/8] = 1.185120 |
Face vector | 72, 324, 576, 498, 202, 28 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o4o x3o5o . . . . . . | 72 | 4 5 | 4 20 5 | 1 20 20 1 | 5 20 4 | 5 4 ------------+----+---------+------------+--------------+-----------+----- x . . . . . | 2 | 144 * | 2 5 0 | 1 10 5 0 | 5 10 1 | 5 2 . . . x . . | 2 | * 180 | 0 4 2 | 0 4 8 1 | 1 8 4 | 2 4 ------------+----+---------+------------+--------------+-----------+----- x3o . . . . | 3 | 3 0 | 96 * * | 1 5 0 0 | 5 5 0 | 5 1 x . . x . . | 4 | 2 2 | * 360 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 120 | 0 0 4 1 | 0 4 4 | 1 4 ------------+----+---------+------------+--------------+-----------+----- x3o4o . . . ♦ 6 | 12 0 | 8 0 0 | 12 * * * | 5 0 0 | 5 0 x3o . x . . ♦ 6 | 6 3 | 2 3 0 | * 240 * * | 1 2 0 | 2 1 x . . x3o . ♦ 6 | 3 6 | 0 3 2 | * * 240 * | 0 2 1 | 1 2 . . . x3o5o ♦ 12 | 0 30 | 0 0 20 | * * * 6 | 0 0 4 | 0 4 ------------+----+---------+------------+--------------+-----------+----- x3o4o x . . ♦ 12 | 24 6 | 16 12 0 | 2 8 0 0 | 30 * * | 2 0 x3o . x3o . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 160 * | 1 1 x . . x3o5o ♦ 24 | 12 60 | 0 30 40 | 0 0 20 2 | * * 12 | 0 2 ------------+----+---------+------------+--------------+-----------+----- x3o4o x3o . ♦ 18 | 36 18 | 24 36 6 | 3 24 12 0 | 3 8 0 | 20 * x3o . x3o5o ♦ 36 | 36 90 | 12 90 60 | 0 30 60 3 | 0 20 3 | * 8
o3x3o x3o5o . . . . . . | 72 | 4 5 | 2 2 20 5 | 1 10 10 20 1 | 5 10 10 4 | 5 2 2 ------------+----+---------+---------------+------------------+-------------+------- . x . . . . | 2 | 144 * | 1 1 5 0 | 1 5 5 5 0 | 5 5 5 1 | 5 1 1 . . . x . . | 2 | * 180 | 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 ------------+----+---------+---------------+------------------+-------------+------- o3x . . . . | 3 | 3 0 | 48 * * * | 1 5 0 0 0 | 5 5 0 0 | 5 1 0 . x3o . . . | 3 | 3 0 | * 48 * * | 1 0 5 0 0 | 5 0 5 0 | 5 0 1 . x . x . . | 4 | 2 2 | * * 360 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o . | 3 | 0 3 | * * * 120 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 ------------+----+---------+---------------+------------------+-------------+------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 | 12 * * * * | 5 0 0 0 | 5 0 0 o3x . x . . ♦ 6 | 6 3 | 2 0 3 0 | * 120 * * * | 1 2 0 0 | 2 1 0 . x3o x . . ♦ 6 | 6 3 | 0 2 3 0 | * * 120 * * | 1 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 3 6 | 0 0 3 2 | * * * 240 * | 0 1 1 1 | 1 1 1 . . . x3o5o ♦ 12 | 0 30 | 0 0 0 20 | * * * * 6 | 0 0 0 4 | 0 2 2 ------------+----+---------+---------------+------------------+-------------+------- o3x3o x . . ♦ 12 | 24 6 | 8 8 12 0 | 2 4 4 0 0 | 30 * * * | 2 0 0 o3x . x3o . ♦ 9 | 9 9 | 3 0 9 3 | 0 3 0 3 0 | * 80 * * | 1 1 0 . x3o x3o . ♦ 9 | 9 9 | 0 3 9 3 | 0 0 3 3 0 | * * 80 * | 1 0 1 . x . x3o5o ♦ 24 | 12 60 | 0 0 30 40 | 0 0 0 20 2 | * * * 12 | 0 1 1 ------------+----+---------+---------------+------------------+-------------+------- o3x3o x3o . ♦ 18 | 36 18 | 12 12 36 6 | 3 12 12 12 0 | 3 4 4 0 | 20 * * o3x . x3o5o ♦ 36 | 36 90 | 12 0 90 60 | 0 30 0 60 3 | 0 20 0 3 | * 4 * . x3o x3o5o ♦ 36 | 36 90 | 0 12 90 60 | 0 0 30 60 3 | 0 0 20 3 | * * 4
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