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- general polytopal classes:
- Wythoffian polytera
links
| Acronym | noquapant |
| Name | penteractiquasiprismated penteractitriacontaditeron |
| Field of sections |
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| Circumradius | sqrt[35-10 sqrt(2)]/2 = 2.283521 |
| Vertex figure |
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| Coordinates | ((1+sqrt(2))/2, (sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (3 sqrt(2)-1)/2, 1/2) & all permutations, all changes of sign |
| Colonel of regiment | (is itself locally convex – no other uniform polyteral members) |
| Face vector | 3840, 9600, 7680, 2160, 172 |
| Confer |
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External links |
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As abstract polytope noquapant is isomorphic to nippant, thereby interchanging the roles of octagrams and octagons, resp. those of stop and op, replacing quitco by girco, resp. gaquidpoth by gidpith, hodip by histodip, and thaquitpath by thatpath.
Incidence matrix according to Dynkin symbol
x3x3x3x4x4/3*c . . . . . | 3840 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ---------------+------+--------------------------+-----------------------------------------+---------------------------------------+--------------- x . . . . | 2 | 1920 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 1920 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 1920 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 1920 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 1920 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ---------------+------+--------------------------+-----------------------------------------+---------------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 0 | 640 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 960 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 960 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 960 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 640 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 960 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 960 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 640 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x4/3*c | 8 | 0 0 4 0 4 | * * * * * * * * 480 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x4x | 8 | 0 0 0 4 4 | * * * * * * * * * 480 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+------+--------------------------+-----------------------------------------+---------------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 160 * * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 0 | 2 0 3 0 0 3 0 0 0 0 | * 320 * * * * * * * * | 1 0 1 0 0 x3x . . x ♦ 12 | 6 6 0 0 6 | 2 0 0 3 0 0 3 0 0 0 | * * 320 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 320 * * * * * * | 1 0 0 1 0 x . x . x4/3*c ♦ 16 | 8 0 8 0 8 | 0 4 0 4 0 0 0 0 2 0 | * * * * 240 * * * * * | 0 1 0 1 0 x . . x4x ♦ 16 | 8 0 0 8 8 | 0 0 4 4 0 0 0 0 0 2 | * * * * * 240 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 0 | 0 0 0 0 4 6 0 4 0 0 | * * * * * * 160 * * * | 1 0 0 0 1 . x3x . x4/3*c ♦ 48 | 0 24 24 0 24 | 0 0 0 0 8 0 12 0 6 0 | * * * * * * * 80 * * | 0 1 0 0 1 . x . x4x ♦ 16 | 0 8 0 8 8 | 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * 240 * | 0 0 1 0 1 . . x3x4x4/3*c ♦ 48 | 0 0 24 24 24 | 0 0 0 0 0 0 0 8 6 6 | * * * * * * * * * 80 | 0 0 0 1 1 ---------------+------+--------------------------+-----------------------------------------+---------------------------------------+--------------- x3x3x3x . ♦ 120 | 60 60 60 60 0 | 20 30 30 0 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 32 * * * * x3x3x . x4/3*c ♦ 384 | 192 192 192 0 192 | 64 96 0 96 64 0 96 0 48 0 | 16 0 32 0 24 0 0 8 0 0 | * 10 * * * x3x . x4x ♦ 48 | 24 24 0 24 24 | 8 0 12 12 0 12 12 0 0 6 | 0 4 4 0 0 3 0 0 3 0 | * * 80 * * x . x3x4x4/3*c ♦ 96 | 48 0 48 48 48 | 0 24 24 24 0 0 0 16 12 12 | 0 0 0 8 6 6 0 0 0 2 | * * * 40 * . x3x3x4x4/3*c ♦ 384 | 0 192 192 192 192 | 0 0 0 0 64 96 96 64 48 48 | 0 0 0 0 0 0 16 8 24 8 | * * * * 10
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