Acronym | cubpen |
Name | cube-pentachoron duoprism |
|,>,O device | line pyramid pyramid prism prism prism prism = |>>>||| |
Circumradius | sqrt(23/20) = 1.072381 |
Volume | sqrt(5)/96 = 0.023292 |
Face vector | 40, 140, 230, 225, 138, 52, 11 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3o o3o4x . . . . . . . | 40 | 4 3 | 6 12 3 | 4 18 12 1 | 1 12 18 4 | 3 12 6 | 3 4 --------------+----+-------+-----------+-------------+------------+----------+---- x . . . . . . | 2 | 80 * | 3 3 0 | 3 9 3 0 | 1 9 9 1 | 3 9 3 | 3 3 . . . . . . x | 2 | * 60 | 0 4 2 | 0 6 8 1 | 0 4 12 4 | 1 8 6 | 2 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o . . . . . | 3 | 3 0 | 80 * * | 2 3 0 0 | 1 6 3 0 | 3 6 1 | 3 2 x . . . . . x | 4 | 2 2 | * 120 * | 0 3 2 0 | 0 3 6 1 | 1 6 3 | 2 3 . . . . . o4x | 4 | 0 4 | * * 30 | 0 0 4 1 | 0 0 6 4 | 0 4 6 | 1 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o3o . . . . ♦ 4 | 6 0 | 4 0 0 | 40 * * * | 1 3 0 0 | 3 3 0 | 3 1 x3o . . . . x ♦ 6 | 6 3 | 2 3 0 | * 120 * * | 0 2 2 0 | 1 4 1 | 2 2 x . . . . o4x ♦ 8 | 4 8 | 0 4 2 | * * 60 * | 0 0 3 1 | 0 3 3 | 1 3 . . . . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * * 5 ♦ 0 0 0 4 | 0 0 6 | 0 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o3o3o . . . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 8 * * * | 3 0 0 | 3 0 x3o3o . . . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 60 * * | 1 2 0 | 2 1 x3o . . . o4x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 60 * | 0 2 1 | 1 2 x . . . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 10 | 0 0 3 | 0 3 --------------+----+-------+-----------+-------------+------------+----------+---- x3o3o3o . . x ♦ 10 | 20 5 | 20 10 0 | 10 10 0 0 | 2 5 0 0 | 12 * * | 2 0 x3o3o . . o4x ♦ 16 | 24 16 | 16 24 4 | 4 16 6 0 | 0 4 4 0 | * 30 * | 1 1 x3o . . o3o4x ♦ 24 | 24 36 | 8 36 18 | 0 12 18 3 | 0 0 6 3 | * * 10 | 0 2 --------------+----+-------+-----------+-------------+------------+----------+---- x3o3o3o . o4x ♦ 20 | 40 20 | 40 40 5 | 20 40 10 0 | 4 20 10 0 | 4 5 0 | 6 * x3o3o . o3o4x ♦ 32 | 48 48 | 32 72 24 | 8 48 36 4 | 0 12 24 6 | 0 6 4 | * 5
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