- general polytopal classes:
- Wythoffian polytera
links
| Acronym | quacrant |
| Name | quasicellirhombipenteractitriacontiditeron |
| Circumradius | sqrt[17-8 sqrt(2)]/2 = 1.192297 |
| Coordinates | ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2) & all permutations, all changes of sign |
| Colonel of regiment | wacbinant |
| Face vector | 960, 3840, 4720, 2080, 242 |
| Confer |
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External links |
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As abstract polytope quacrant is isomorphic to carnit, thereby replacing querco with sirco, resp. quercope by sircope and qrit by srit.
Incidence matrix according to Dynkin symbol
x3o3x3o4/3x . . . . . | 960 | 2 4 2 | 1 4 4 2 2 4 1 | 2 2 2 4 2 1 2 2 | 1 2 1 2 1 ------------+-----+--------------+-----------------------------+--------------------------------+--------------- x . . . . | 2 | 960 * * | 1 2 2 0 0 0 0 | 2 2 1 2 1 0 0 0 | 1 2 1 1 0 . . x . . | 2 | * 1920 * | 0 1 0 1 1 1 0 | 1 0 1 1 0 1 1 1 | 1 1 0 1 1 . . . . x | 2 | * * 960 | 0 0 2 0 0 2 1 | 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ------------+-----+--------------+-----------------------------+--------------------------------+--------------- x3o . . . | 3 | 3 0 0 | 320 * * * * * * | 2 2 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 2 0 | * 960 * * * * * | 1 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 2 | * * 960 * * * * | 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 640 * * * | 1 0 0 0 0 1 1 0 | 1 1 0 0 1 . . x3o . | 3 | 0 3 0 | * * * * 640 * * | 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 2 2 | * * * * * 960 * | 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . o4/3x | 4 | 0 0 4 | * * * * * * 240 | 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ------------+-----+--------------+-----------------------------+--------------------------------+--------------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 160 * * * * * * * | 1 1 0 0 0 x3o . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * 320 * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 | * * 320 * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 | * * * 480 * * * * | 0 1 0 1 0 x . . o4/3x ♦ 8 | 4 0 8 | 0 0 4 0 0 0 2 | * * * * 240 * * * | 0 0 1 1 0 . o3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 | * * * * * 160 * * | 1 0 0 0 1 . o3x . x ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 | * * * * * * 320 * | 0 1 0 0 1 . . x3o4/3x ♦ 24 | 0 24 24 | 0 0 0 0 8 12 6 | * * * * * * * 80 | 0 0 0 1 1 ------------+-----+--------------+-----------------------------+--------------------------------+--------------- x3o3x3o . ♦ 30 | 30 60 0 | 10 30 0 20 20 0 0 | 5 0 10 0 0 5 0 0 | 32 * * * * x3o3x . x ♦ 24 | 24 24 12 | 8 12 12 8 0 12 0 | 2 4 0 6 0 0 4 0 | * 80 * * * x3o . o4/3x ♦ 12 | 12 0 12 | 4 0 12 0 0 0 3 | 0 4 0 0 3 0 0 0 | * * 80 * * x . x3o4/3x ♦ 48 | 24 48 48 | 0 24 24 0 16 24 12 | 0 0 8 12 6 0 0 2 | * * * 40 * . o3x3o4/3x ♦ 96 | 0 192 96 | 0 0 0 64 64 96 24 | 0 0 0 0 0 16 32 8 | * * * * 10
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