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- general polytopal classes:
- Wythoffian polychora
links
| Acronym | sichado |
| Name | small cubihexadecadisoctachoron |
| Cross sections |
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| Circumradius | sqrt[(7+3 sqrt(2))/2] = 2.370932 |
| Coordinates | (1+2 sqrt(2), 1+sqrt(2), 1, 1)/2 & all permutations, all changes of sign |
| General of army | prit |
| Colonel of regiment | prit |
| Face vector | 192, 480, 320, 56 |
| Confer |
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| External links | |
As abstract polytope sichado is isomorphic togichado, thereby replacing octagons by octagrams,resp. replacing thegirco byquitco andsocco bygocco.– As such sichado is alieutenant.
Incidence matrix according toDynkin symbol
x 3 | x 3 / \ 4 o---x 4/3
x3x3o4/3x4*b. . . . | 192 | 1 2 2 | 2 2 1 2 1 | 1 2 2 1-------------+-----+------------+----------------+----------x . . . | 2 | 96 * * | 2 2 0 0 0 | 1 2 1 0. x . . | 2 | * 192 * | 1 0 1 1 0 | 1 1 0 1. . . x | 2 | * * 192 | 0 1 0 1 1 | 0 1 1 1-------------+-----+------------+----------------+----------x3x . . | 6 | 3 3 0 | 64 * * * * | 1 1 0 0x . . x | 4 | 2 0 2 | * 96 * * * | 0 1 1 0. x3o . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1. x . x4*b | 8 | 0 4 4 | * * * 48 * | 0 1 0 1. . o4/3x | 4 | 0 0 4 | * * * * 48 | 0 0 1 1-------------+-----+------------+----------------+----------x3x3o .♦ 12 | 6 12 0 | 4 0 4 0 0 | 16 * * *x3x . x4*b♦ 48 | 24 24 24 | 8 12 0 6 0 | * 8 * *x . o4/3x♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 24 *. x3o4/3x4*b♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * 8
x 3 | x 3/2 / \ 4 o---x 4
x3x3/2o4x4*b. . . . | 192 | 1 2 2 | 2 2 1 2 1 | 1 2 2 1-------------+-----+------------+----------------+----------x . . . | 2 | 96 * * | 2 2 0 0 0 | 1 2 1 0. x . . | 2 | * 192 * | 1 0 1 1 0 | 1 1 0 1. . . x | 2 | * * 192 | 0 1 0 1 1 | 0 1 1 1-------------+-----+------------+----------------+----------x3x . . | 6 | 3 3 0 | 64 * * * * | 1 1 0 0x . . x | 4 | 2 0 2 | * 96 * * * | 0 1 1 0. x3/2o . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1. x . x4*b | 8 | 0 4 4 | * * * 48 * | 0 1 0 1. . o4x | 4 | 0 0 4 | * * * * 48 | 0 0 1 1-------------+-----+------------+----------------+----------x3x3/2o .♦ 12 | 6 12 0 | 4 0 4 0 0 | 16 * * *x3x . x4*b♦ 48 | 24 24 24 | 8 12 0 6 0 | * 8 * *x . o4x♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 24 *. x3/2o4x4*b♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * 8
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