Acronym | wacbinant | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Name | sphenary cellibiprismatopenteractipenteractitriacontaditeron | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Field of sections |
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Circumradius | sqrt[17-8 sqrt(2)]/2 = 1.192297 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Vertex figure |
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Coordinates | ((2 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 |
(is itself locally convex
– uniform polyteral members:
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Face vector | 960, 3840, 4240, 1600, 172 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope wacbinant is isomorphic to recarnit, thereby replacing octagrams by octagons, resp. gocco by socco, stop by op, and quith by tic, resp. quiproh by proh, goccope by soccope, and wavitoth by rawvatoth.
Incidence matrix according to Dynkin symbol
x3o3x3o4x4/3*c . . . . . | 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 . x4/3*c | 8 | 0 4 4 | * * * * * 480 * | 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . o4x | 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 . x4/3*c ♦ 16 | 8 8 8 | 0 4 4 0 0 2 0 | * * * 240 * * * * | 0 1 0 1 0 x . . o4x ♦ 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 . x4/3*c ♦ 24 | 0 24 12 | 0 0 0 8 0 6 0 | * * * * * * 80 * | 0 1 0 0 1 . . x3o4x4/3*c ♦ 24 | 0 24 24 | 0 0 0 0 8 6 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 . x4/3*c ♦ 192 | 192 192 96 | 64 96 96 64 0 48 0 | 16 32 0 24 0 0 8 0 | * 10 * * * x3o . o4x ♦ 12 | 12 0 12 | 4 0 12 0 0 0 3 | 0 4 0 0 3 0 0 0 | * * 80 * * x . x3o4x4/3*c ♦ 48 | 24 48 48 | 0 24 24 0 16 12 12 | 0 0 8 6 6 0 0 2 | * * * 40 * . o3x3o4x4/3*c ♦ 96 | 0 192 96 | 0 0 0 64 64 48 24 | 0 0 0 0 0 16 8 8 | * * * * 10
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