steriruncitruncated penteract,
steriruncitruncated pentacross
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| by cells: | gidpith | hodip | pittip | prip | proh | siphado | ticcup | tuttip |
| sircaptint | 10 | 0 | 32 | 0 | 0 | 10 | 40 | 80 |
| captint | 0 | 80 | 0 | 32 | 10 | 0 | 40 | 80 |
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | captint | |||||||||||||||||||||||||||
| Name |
celliprismatotruncated penteractitriacontiditeron, steriruncitruncated penteract, steriruncitruncated pentacross | |||||||||||||||||||||||||||
| Field of sections |
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| Circumradius | sqrt[35+14 sqrt(2)]/2 = 3.701317 | |||||||||||||||||||||||||||
| Vertex figure |
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| Coordinates | ((1+3 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 | 1920, 5760, 5760, 2160, 242 | |||||||||||||||||||||||||||
| Confer |
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External links |
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As abstract polytope captint is isomorphic to quicpatint, thereby replacing octagons by octagrams, resp. op by stop and tic by quith, resp. hodip by histodip, ticcup by quithip, and proh by quiproh.
Incidence matrix according to Dynkin symbol
x3x3o3x4x . . . . . | 1920 | 1 2 2 1 | 2 2 1 1 2 2 1 2 | 1 2 2 1 2 1 1 2 1 | 1 1 2 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x . . . . | 2 | 960 * * * | 2 2 1 0 0 0 0 0 | 1 2 2 1 2 0 0 0 0 | 1 1 2 1 0 . x . . . | 2 | * 1920 * * | 1 0 0 1 1 1 0 0 | 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1 . . . x . | 2 | * * 1920 * | 0 1 0 0 1 0 1 1 | 0 1 0 1 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * 960 | 0 0 1 0 0 2 0 2 | 0 0 2 0 2 0 1 2 1 | 0 1 2 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 640 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . . x . | 4 | 2 0 2 0 | * 960 * * * * * * | 0 1 0 1 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 2 | * * 480 * * * * * | 0 0 2 0 2 0 0 0 0 | 0 1 2 1 0 . x3o . . | 3 | 0 3 0 0 | * * * 640 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 2 0 | * * * * 960 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 2 | * * * * * 960 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . . o3x . | 3 | 0 0 3 0 | * * * * * * 640 * | 0 0 0 1 0 1 0 0 1 | 1 0 0 1 1 . . . x4x | 8 | 0 0 4 4 | * * * * * * * 480 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3o . . ♦ 12 | 6 12 0 0 | 4 0 0 4 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 6 0 | 2 3 0 0 3 0 0 0 | * 320 * * * * * * * | 1 0 1 0 0 x3x . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 0 3 0 0 | * * 320 * * * * * * | 0 1 1 0 0 x . o3x . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 | * * * 320 * * * * * | 1 0 0 1 0 x . . x4x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 0 0 2 | * * * * 240 * * * * | 0 0 1 1 0 . x3o3x . ♦ 12 | 0 12 12 0 | 0 0 0 4 6 0 4 0 | * * * * * 160 * * * | 1 0 0 0 1 . x3o . x ♦ 6 | 0 6 0 3 | 0 0 0 2 0 3 0 0 | * * * * * * 320 * * | 0 1 0 0 1 . x . x4x ♦ 16 | 0 8 8 8 | 0 0 0 0 4 4 0 2 | * * * * * * * 240 * | 0 0 1 0 1 . . o3x4x ♦ 24 | 0 0 24 12 | 0 0 0 0 0 0 8 6 | * * * * * * * * 80 | 0 0 0 1 1 ----------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3o3x . ♦ 60 | 30 60 60 0 | 20 30 0 20 30 0 20 0 | 5 10 0 10 0 5 0 0 0 | 32 * * * * x3x3o . x ♦ 24 | 12 24 0 12 | 8 0 6 8 0 12 0 0 | 2 0 4 0 0 0 4 0 0 | * 80 * * * x3x . x4x ♦ 48 | 24 24 24 24 | 8 12 12 0 12 12 0 6 | 0 4 4 0 3 0 0 3 0 | * * 80 * * x . o3x4x ♦ 48 | 24 0 48 24 | 0 24 12 0 0 0 16 13 | 0 0 0 8 6 0 0 0 2 | * * * 40 * . x3o3x4x ♦ 192 | 0 192 192 96 | 0 0 0 64 96 96 64 48 | 0 0 0 0 0 16 32 24 8 | * * * * 10 snubbed forms: x3x3o3x4s
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