Acronym | xithi | ||||||||||
Name | hexacositriakishecatonicosachoron | ||||||||||
Cross sections |
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Circumradius | sqrt(15) = 3.872983 | ||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 14400, 28800, 14880, 960 | ||||||||||
Confer |
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External links |
As abstract polytope xithi is automorph, thereby interchanging decagons and decagrams, respectively grid and gaquatid.
Incidence matrix according to Dynkin symbol
x3x3x5x5/3*a . . . . | 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 | 2 | * * * 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 . . x5/3*a | 10 | 5 0 0 5 | * * 1440 * * * | 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 . x5/3*a ♦ 120 | 60 60 0 60 | 20 0 20 0 30 0 | * 120 * * x . x5x5/3*a ♦ 120 | 60 0 60 60 | 0 30 12 0 0 12 | * * 120 * . x3x5x ♦ 120 | 0 60 60 60 | 0 0 0 20 30 12 | * * * 120
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