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| by cells: | gittith | goccope | sidpith | soccope | spid | steth | tistodip | todip |
| skatbacadint | 10 | 40 | 10 | 0 | 32 | 0 | 80 | 0 |
| gektabcadont | 0 | 0 | 10 | 40 | 32 | 10 | 0 | 80 |
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | skatbacadint | |||||||||||||||||||||||||||
| Name | small skewtrigonary biprismatocellidispenteractitriacontiditeron | |||||||||||||||||||||||||||
| Field of sections |
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| Circumradius | 3/2 = 1.5 | |||||||||||||||||||||||||||
| Vertex figure |
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| Colonel of regiment |
(is itself locally convex
– other uniform polyteral members:
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| Face vector | 640, 2880, 3920, 1920, 172 | |||||||||||||||||||||||||||
| Confer |
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External links |
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As abstract polytope skatbacadint is isomorphic to gektabcadont, thereby replacing octagrams by octagons, resp. gocco by socco and stop by op, resp. gittith by steth, goccope by soccope, and tistodip by todip.
Incidence matrix according to Dynkin symbol
x3o3o3x4/3x4*c . . . . . | 640 | 3 3 3 | 3 6 6 3 3 3 | 1 3 3 3 3 6 1 1 3 | 1 1 3 3 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x . . . . | 2 | 960 * * | 2 2 2 0 0 0 | 1 2 2 1 1 2 0 0 0 | 1 1 2 1 0 . . . x . | 2 | * 960 * | 0 2 0 2 0 1 | 0 1 0 2 0 2 1 0 2 | 1 0 1 2 1 . . . . x | 2 | * * 960 | 0 0 2 0 2 1 | 0 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x3o . . . | 3 | 3 0 0 | 640 * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . . x . | 4 | 2 2 0 | * 960 * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 2 | * * 960 * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . . o3x . | 3 | 0 3 0 | * * * 640 * * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . o . x4*c | 4 | 0 0 4 | * * * * 480 * | 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . x4/3x | 8 | 0 4 4 | * * * * * 240 | 0 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x3o3o . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3o . x . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 320 * * * * * * * | 1 0 1 0 0 x3o . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 320 * * * * * * | 0 1 1 0 0 x . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 320 * * * * * | 1 0 0 1 0 x . o . x4*c ♦ 8 | 4 0 8 | 0 0 4 0 2 0 | * * * * 240 * * * * | 0 1 0 1 0 x . . x4/3x ♦ 16 | 8 8 8 | 0 4 4 0 0 2 | * * * * * 240 * * * | 0 0 1 1 0 . o3o3x . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * 160 * * | 1 0 0 0 1 . o3o . x4*c ♦ 8 | 0 0 12 | 0 0 0 0 6 0 | * * * * * * * 80 * | 0 1 0 0 1 . . o3x4/3x4*c ♦ 24 | 0 24 24 | 0 0 0 8 6 6 | * * * * * * * * 80 | 0 0 0 1 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x3o3o3x . ♦ 20 | 30 30 0 | 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 | 32 * * * * x3o3o . x4*c ♦ 64 | 96 0 96 | 64 0 96 0 48 0 | 16 0 32 0 24 0 0 8 0 | * 10 * * * x3o . x4/3x ♦ 24 | 24 12 12 | 8 12 12 0 0 3 | 0 4 4 0 0 3 0 0 0 | * * 80 * * x . o3x4/3x4*c ♦ 48 | 24 48 48 | 0 24 24 16 12 12 | 0 0 0 8 6 6 0 0 2 | * * * 40 * . o3o3x4/3x4*c ♦ 64 | 0 96 96 | 0 0 0 64 48 24 | 0 0 0 0 0 0 16 8 8 | * * * * 10
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