Acronym | prix | ||||||||||||||||||||||||||||||||
Name |
prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron | ||||||||||||||||||||||||||||||||
Circumradius | sqrt[48+21 sqrt(5)] = 9.744610 | ||||||||||||||||||||||||||||||||
Vertex figure |
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General of army | (is itself convex) | ||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Dihedral angles |
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Face vector | 7200, 18000, 13440, 2640 | ||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope prix is isomorphic to quippirgax, thereby replacing the decagons by decagrams, resp. replacing the tid by quit gissid and the dip by stiddip.
Note that prix can be thought of as the external blend of 1 grix + 600 coatoes + 1200 tricufs + 720 pecupes + 120 tiatids. This decomposition is described as the degenerate segmentoteron xx3xo3xx5ox&#x.
Incidence matrix according to Dynkin symbol
x3o3x5x . . . . | 7200 | 2 2 1 | 1 2 2 1 2 | 1 1 2 1 --------+------+----------------+--------------------------+----------------- x . . . | 2 | 7200 * * | 1 1 1 0 0 | 1 1 1 0 . . x . | 2 | * 7200 * | 0 1 0 1 1 | 1 0 1 1 . . . x | 2 | * * 3600 | 0 0 2 0 2 | 0 1 2 1 --------+------+----------------+--------------------------+----------------- x3o . . | 3 | 3 0 0 | 2400 * * * * | 1 1 0 0 x . x . | 4 | 2 2 0 | * 3600 * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * * 3600 * * | 0 1 1 0 . o3x . | 3 | 0 3 0 | * * * 2400 * | 1 0 0 1 . . x5x | 10 | 0 5 5 | * * * * 1440 | 0 0 1 1 --------+------+----------------+--------------------------+----------------- x3o3x . ♦ 12 | 12 12 0 | 4 6 0 4 0 | 600 * * * x3o . x ♦ 6 | 12 0 6 | 2 0 3 0 0 | * 1200 * * x . x5x ♦ 20 | 10 10 10 | 0 5 5 0 2 | * * 720 * . o3x5x ♦ 60 | 0 60 30 | 0 0 0 20 12 | * * * 120 snubbed forms: β3o3x5x, x3o3β5x, x3o3x5β, β3o3β5x, β3o3x5β, x3o3β5β, β3o3β5β
x3/2o3/2x5x . . . . | 7200 | 2 2 1 | 1 2 2 1 2 | 1 1 2 1 ------------+------+----------------+--------------------------+----------------- x . . . | 2 | 7200 * * | 1 1 1 0 0 | 1 1 1 0 . . x . | 2 | * 7200 * | 0 1 0 1 1 | 1 0 1 1 . . . x | 2 | * * 3600 | 0 0 2 0 2 | 0 1 2 1 ------------+------+----------------+--------------------------+----------------- x3/2o . . | 3 | 3 0 0 | 2400 * * * * | 1 1 0 0 x . x . | 4 | 2 2 0 | * 3600 * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * * 3600 * * | 0 1 1 0 . o3/2x . | 3 | 0 3 0 | * * * 2400 * | 1 0 0 1 . . x5x | 10 | 0 5 5 | * * * * 1440 | 0 0 1 1 ------------+------+----------------+--------------------------+----------------- x3/2o3/2x . ♦ 12 | 12 12 0 | 4 6 0 4 0 | 600 * * * x3/2o . x ♦ 6 | 12 0 6 | 2 0 3 0 0 | * 1200 * * x . x5x ♦ 20 | 10 10 10 | 0 5 5 0 2 | * * 720 * . o3/2x5x ♦ 60 | 0 60 30 | 0 0 0 20 12 | * * * 120
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