Acronym | cappin | ||||||||||||||||||||||||
Name |
celliprismated penteract, steritruncated pentacross | ||||||||||||||||||||||||
Circumradius | sqrt[15+6 sqrt(2)]/2 = 2.423081 | ||||||||||||||||||||||||
Lace city in approx. ASCII-art |
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Vertex figure |
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Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign | ||||||||||||||||||||||||
General of army | (is itself convex) | ||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 640, 2240, 2880, 1520, 242 | ||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope cappin is isomorphic to caquapin, thereby replacing sidpith by quidpith.
Incidence matrix according to Dynkin symbol
x3x3o3o4x . . . . . | 640 | 1 3 3 | 3 3 3 6 3 | 3 6 3 1 3 3 1 | 1 3 3 1 1 ----------+-----+-------------+---------------------+----------------------------+--------------- x . . . . | 2 | 320 * * | 3 3 0 0 0 | 3 6 3 0 0 0 0 | 1 3 3 1 0 . x . . . | 2 | * 960 * | 1 0 2 2 0 | 2 2 0 1 2 1 0 | 1 2 1 0 1 . . . . x | 2 | * * 960 | 0 1 0 2 2 | 0 2 2 0 1 2 1 | 0 1 2 1 1 ----------+-----+-------------+---------------------+----------------------------+--------------- x3x . . . | 6 | 3 3 0 | 320 * * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 x . . . x | 4 | 2 0 2 | * 480 * * * | 0 2 2 0 0 0 0 | 0 1 2 1 0 . x3o . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 2 | * * * 960 * | 0 1 0 0 1 1 0 | 0 1 1 0 1 . . . o4x | 4 | 0 0 4 | * * * * 480 | 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+-------------+---------------------+----------------------------+--------------- x3x3o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 160 * * * * * * | 1 1 0 0 0 x3x . . x ♦ 12 | 6 6 6 | 2 3 0 3 0 | * 320 * * * * * | 0 1 1 0 0 x . . o4x ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 240 * * * * | 0 0 1 1 0 . x3o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * * | 1 0 0 0 1 . x3o . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * * 320 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 8 | 0 0 0 4 2 | * * * * * 240 * | 0 0 1 0 1 . . o3o4x ♦ 8 | 0 0 12 | 0 0 0 0 6 | * * * * * * 80 | 0 0 0 1 1 ----------+-----+-------------+---------------------+----------------------------+--------------- x3x3o3o . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 0 | 32 * * * * x3x3o . x ♦ 24 | 12 24 12 | 8 6 8 12 0 | 2 4 0 0 4 0 0 | * 80 * * * x3x . o4x ♦ 24 | 12 12 24 | 4 12 0 12 6 | 0 4 3 0 0 3 0 | * * 80 * * x . o3o4x ♦ 16 | 8 0 24 | 0 12 0 0 12 | 0 0 6 0 0 0 2 | * * * 40 * . x3o3o4x ♦ 64 | 0 96 96 | 0 0 64 96 48 | 0 0 0 16 32 24 8 | * * * * 10 snubbed forms: x3x3o3o4s
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