Acronym | pirx | |||||||||||||||||||||
Name |
prismatorhombated hexateron, runcicantellated hexateron | |||||||||||||||||||||
Field of sections |
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Circumradius | sqrt(11/3) = 1.914854 | |||||||||||||||||||||
Lace city in approx. ASCII-art |
x3x3o o3u3o o3x3x -- o3x3x3o (deca) x3x3x o3u3x o3x3u o3x3x -- o3x3x3x (grip) u3o3x o3u3x o3u3o -- o3u3o3x ((x,u)-srip) x3o3x u3o3x x3x3x x3x3o -- x3x3o3x (prip) | |||||||||||||||||||||
Vertex figure |
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General of army | (is itself convex) | |||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polyteral members:
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Face vector | 180, 540, 570, 255, 47 | |||||||||||||||||||||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o3x3x3o . . . . . | 180 | 2 2 2 | 1 2 4 1 4 1 | 1 2 4 2 2 2 | 2 1 2 1 ----------+-----+-------------+---------------------+-------------------+---------- x . . . . | 2 | 180 * * | 1 1 2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0 . . x . . | 2 | * 180 * | 0 1 0 1 2 0 | 1 0 2 0 2 1 | 2 0 1 1 . . . x . | 2 | * * 180 | 0 0 2 0 2 1 | 0 1 2 2 1 2 | 1 1 2 1 ----------+-----+-------------+---------------------+-------------------+---------- x3o . . . | 3 | 3 0 0 | 60 * * * * * | 1 2 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 2 0 | * 90 * * * * | 1 0 2 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 2 | * * 180 * * * | 0 1 1 1 0 0 | 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 60 * * | 1 0 0 0 2 0 | 2 0 0 1 . . x3x . | 6 | 0 3 3 | * * * * 120 * | 0 0 1 0 1 1 | 1 0 1 1 . . . x3o | 3 | 0 0 3 | * * * * * 60 | 0 0 0 2 0 2 | 0 1 2 1 ----------+-----+-------------+---------------------+-------------------+---------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | 15 * * * * * | 2 0 0 0 x3o . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 60 * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 0 2 0 | * * 60 * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * 60 * * | 0 1 1 0 . o3x3x . ♦ 12 | 0 12 6 | 0 0 0 4 4 0 | * * * * 30 * | 1 0 0 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * 30 | 0 0 1 1 ----------+-----+-------------+---------------------+-------------------+---------- x3o3x3x . ♦ 60 | 60 60 30 | 20 30 30 20 20 0 | 5 10 10 0 5 0 | 6 * * * x3o . x3o ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 3 0 3 0 0 | * 20 * * x . x3x3o ♦ 24 | 12 12 24 | 0 6 12 0 8 8 | 0 0 4 4 0 2 | * * 15 * . o3x3x3o ♦ 30 | 0 30 30 | 0 0 0 10 20 10 | 0 0 0 0 5 5 | * * * 6
x3o3x3x3/2o . . . . . | 180 | 2 2 2 | 1 2 4 1 4 1 | 1 2 4 2 2 2 | 2 1 2 1 ------------+-----+-------------+---------------------+-------------------+---------- x . . . . | 2 | 180 * * | 1 1 2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0 . . x . . | 2 | * 180 * | 0 1 0 1 2 0 | 1 0 2 0 2 1 | 2 0 1 1 . . . x . | 2 | * * 180 | 0 0 2 0 2 1 | 0 1 2 2 1 2 | 1 1 2 1 ------------+-----+-------------+---------------------+-------------------+---------- x3o . . . | 3 | 3 0 0 | 60 * * * * * | 1 2 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 2 0 | * 90 * * * * | 1 0 2 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 2 | * * 180 * * * | 0 1 1 1 0 0 | 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 60 * * | 1 0 0 0 2 0 | 2 0 0 1 . . x3x . | 6 | 0 3 3 | * * * * 120 * | 0 0 1 0 1 1 | 1 0 1 1 . . . x3/2o | 3 | 0 0 3 | * * * * * 60 | 0 0 0 2 0 2 | 0 1 2 1 ------------+-----+-------------+---------------------+-------------------+---------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | 15 * * * * * | 2 0 0 0 x3o . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 60 * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 0 2 0 | * * 60 * * * | 1 0 1 0 x . . x3/2o ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * 60 * * | 0 1 1 0 . o3x3x . ♦ 12 | 0 12 6 | 0 0 0 4 4 0 | * * * * 30 * | 1 0 0 1 . . x3x3/2o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * 30 | 0 0 1 1 ------------+-----+-------------+---------------------+-------------------+---------- x3o3x3x . ♦ 60 | 60 60 30 | 20 30 30 20 20 0 | 5 10 10 0 5 0 | 6 * * * x3o . x3/2o ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 3 0 3 0 0 | * 20 * * x . x3x3/2o ♦ 24 | 12 12 24 | 0 6 12 0 8 8 | 0 0 4 4 0 2 | * * 15 * . o3x3x3/2o ♦ 30 | 0 30 30 | 0 0 0 10 20 10 | 0 0 0 0 5 5 | * * * 6
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