Acronym | pattin | ||||||||||||||||||||||||
Name |
prismatotruncated penteract, runcitruncated penteract | ||||||||||||||||||||||||
Circumradius | sqrt[25+12 sqrt(2)]/2 = 3.239235 | ||||||||||||||||||||||||
Vertex figure |
© | ||||||||||||||||||||||||
Coordinates | ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2) & all permutations, all changes of sign | ||||||||||||||||||||||||
General of army | (is itself convex) | ||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polyteral members:
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Face vector | 960, 3360, 3760, 1560, 202 | ||||||||||||||||||||||||
Confer |
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External links |
As abstract polyteron pattin is isomorph to quiptin, thereby replacing octagons by octagrams, resp. op by stop and tic by quith, resp. todip by tistodip and proh by quiproh.
Incidence matrix according to Dynkin symbol
o3x3o3x4x . . . . . | 960 | 4 2 1 | 2 2 4 4 1 2 | 1 2 2 2 2 4 1 | 1 1 2 2 ----------+-----+--------------+-------------------------+----------------------------+------------ . x . . . | 2 | 1920 * * | 1 1 1 1 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . . x . | 2 | * 960 * | 0 0 2 0 1 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * 480 | 0 0 0 4 0 2 | 0 0 2 0 2 4 1 | 0 1 2 2 ----------+-----+--------------+-------------------------+----------------------------+------------ o3x . . . | 3 | 3 0 0 | 640 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3o . . | 3 | 3 0 0 | * 640 * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 2 0 | * * 960 * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x | 4 | 2 0 2 | * * * 960 * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . o3x . | 3 | 0 3 0 | * * * * 320 * | 0 0 0 2 0 0 1 | 1 0 0 2 . . . x4x | 8 | 0 4 4 | * * * * * 240 | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+--------------+-------------------------+----------------------------+------------ o3x3o . . ♦ 6 | 12 0 0 | 4 4 0 0 0 0 | 160 * * * * * * | 1 1 0 0 o3x . x . ♦ 6 | 6 3 0 | 2 0 3 0 0 0 | * 320 * * * * * | 1 0 1 0 o3x . . x ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * * 320 * * * * | 0 1 1 0 . x3o3x . ♦ 12 | 12 12 0 | 0 4 6 0 4 0 | * * * 160 * * * | 1 0 0 1 . x3o . x ♦ 6 | 6 0 3 | 0 2 0 3 0 0 | * * * * 320 * * | 0 1 0 1 . x . x4x ♦ 16 | 8 8 8 | 0 0 4 4 2 2 | * * * * * 240 * | 0 0 1 1 . . o3x4x ♦ 24 | 0 24 12 | 0 0 0 0 8 6 | * * * * * * 40 | 0 0 0 2 ----------+-----+--------------+-------------------------+----------------------------+------------ o3x3o3x . ♦ 30 | 60 30 0 | 20 20 30 0 10 0 | 5 10 0 5 0 0 0 | 32 * * * o3x3o . x ♦ 12 | 24 0 6 | 8 8 0 12 0 0 | 2 0 4 0 4 0 0 | * 80 * * o3x . x4x ♦ 24 | 24 12 12 | 8 0 12 12 0 3 | 0 4 4 0 0 3 0 | * * 80 * . x3o3x4x ♦ 192 | 192 192 96 | 0 64 96 96 64 48 | 0 0 0 16 32 24 8 | * * * 10 snubbed forms: o3x3o3x4s
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