Acronym | octdoe |
Name | octahedron-dodecahedron duoprism |
Circumradius | sqrt[(13+3 sqrt(5))/8] = 1.569562 |
Face vector | 120, 420, 592, 410, 138, 20 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o4o o3o5x . . . . . . | 120 | 4 3 | 4 12 3 | 1 12 12 1 | 3 12 4 | 3 4 ------------+-----+---------+------------+--------------+----------+----- x . . . . . | 2 | 240 * | 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . . . x | 2 | * 180 | 0 4 2 | 0 4 8 1 | 1 8 4 | 2 4 ------------+-----+---------+------------+--------------+----------+----- x3o . . . . | 3 | 3 0 | 160 * * | 1 3 0 0 | 3 3 0 | 3 1 x . . . . x | 4 | 2 2 | * 360 * | 0 2 2 0 | 1 4 1 | 2 2 . . . . o5x | 5 | 0 5 | * * 72 | 0 0 4 1 | 0 4 4 | 1 4 ------------+-----+---------+------------+--------------+----------+----- x3o4o . . . ♦ 6 | 12 0 | 8 0 0 | 20 * * * | 3 0 0 | 3 0 x3o . . . x ♦ 6 | 6 3 | 2 3 0 | * 240 * * | 1 2 0 | 2 1 x . . . o5x ♦ 10 | 5 10 | 0 5 2 | * * 144 * | 0 2 1 | 1 2 . . . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * * 6 | 0 0 4 | 0 4 ------------+-----+---------+------------+--------------+----------+----- x3o4o . . x ♦ 12 | 24 6 | 16 12 0 | 2 8 0 0 | 30 * * | 2 0 x3o . . o5x ♦ 15 | 15 15 | 5 15 3 | 0 5 3 0 | * 96 * | 1 1 x . . o3o5x ♦ 40 | 20 60 | 0 30 24 | 0 0 12 2 | * * 12 | 0 2 ------------+-----+---------+------------+--------------+----------+----- x3o4o . o5x ♦ 30 | 60 30 | 40 60 6 | 5 40 12 0 | 5 8 0 | 12 * x3o . o3o5x ♦ 60 | 60 90 | 20 90 36 | 0 30 36 3 | 0 12 3 | * 8
o3x3o o3o5x . . . . . . | 120 | 4 3 | 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 ------------+-----+---------+--------------+------------------+-------------+------- . x . . . . | 2 | 240 * | 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 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 | 80 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . x3o . . . | 3 | 3 0 | * 80 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . x . . . x | 4 | 2 2 | * * 360 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . . o5x | 5 | 0 5 | * * * 72 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 ------------+-----+---------+--------------+------------------+-------------+------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 | 20 * * * * | 3 0 0 0 | 3 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 . . o5x ♦ 10 | 5 10 | 0 0 5 2 | * * * 144 * | 0 1 1 1 | 1 1 1 . . . o3o5x ♦ 20 | 0 30 | 0 0 0 12 | * * * * 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 . . o5x ♦ 15 | 15 15 | 5 0 15 3 | 0 5 0 3 0 | * 48 * * | 1 1 0 . x3o . o5x ♦ 15 | 15 15 | 0 5 15 3 | 0 0 5 3 0 | * * 48 * | 1 0 1 . x . o3o5x ♦ 40 | 20 60 | 0 0 30 24 | 0 0 0 12 2 | * * * 12 | 0 1 1 ------------+-----+---------+--------------+------------------+-------------+------- o3x3o . o5x ♦ 30 | 60 30 | 20 20 60 6 | 5 20 20 12 0 | 5 4 4 0 | 12 * * o3x . o3o5x ♦ 60 | 60 90 | 20 0 90 36 | 0 30 0 36 3 | 0 12 0 3 | * 4 * . x3o o3o5x ♦ 60 | 60 90 | 0 20 90 36 | 0 0 30 36 3 | 0 0 12 3 | * * 4
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