Acronym | gidpixhi | ||||||||||
Name |
great disprismatohexacosihecatonicosachoron, omnitruncated hecatonicosachoron, omnitruncated hexacosachoron | ||||||||||
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Cross sections |
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Circumradius | sqrt[83+36 sqrt(5)] = 12.786651 | ||||||||||
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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External links |
As abstract polytope gidpixhi is isomorphic to gaquidapixhi, thereby replacing the decagons by decagrams, resp. replacing the grid by gaquatid and the dip by stiddip.
Incidence matrix according to Dynkin symbol
x3x3x5x . . . . | 14400 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 --------+-------+---------------------+-------------------------------+----------------- x . . . | 2 | 7200 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 7200 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 7200 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 1 | * * * 7200 | 0 0 1 0 1 1 | 0 1 1 1 --------+-------+---------------------+-------------------------------+----------------- x3x . . | 6 | 3 3 0 0 | 2400 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 3600 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 3600 * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 2400 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 3600 * | 0 1 0 1 . . x5x | 10 | 0 0 5 5 | * * * * * 1440 | 0 0 1 1 --------+-------+---------------------+-------------------------------+----------------- x3x3x . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 | 600 * * * x3x . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 | * 1200 * * x . x5x ♦ 20 | 10 0 10 10 | 0 5 5 0 0 2 | * * 720 * . x3x5x ♦ 120 | 0 60 60 60 | 0 0 0 20 30 12 | * * * 120 snubbed forms: β3x3x5x, x3β3x5x, x3x3β5x, x3x3x5β, β3β3x5x, β3x3β5x, β3x3x5β, x3β3β5x, x3β3x5β, x3x3β5β, β3β3β5x, β3β3x5β, β3x3β5β, x3β3β5β, s3s3s5s
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