Acronym | gid tipathi | |||||||||||||||||||||
Name | great ditrigonal prismatotriakishecatonicosachoron | |||||||||||||||||||||
Circumradius | sqrt[13-2 sqrt(5)] = 2.920251 | |||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 18000, 11280, 1560 | |||||||||||||||||||||
Confer |
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External links |
As abstract polytope gid tipathi is isomorphic to sid tipathi, thereby replacing pentagons by pentagrams and decagrams by decagons, respectively gaquatid by grid, ti by tiggy, and gidditdid by sidditdid.
Incidence matrix according to Dynkin symbol
x3x5o3x5/3*b . . . . | 7200 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -------------+------+----------------+--------------------------+----------------- x . . . | 2 | 3600 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 7200 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 7200 | 0 1 0 1 1 | 0 1 1 1 -------------+------+----------------+--------------------------+----------------- x3x . . | 6 | 3 3 0 | 2400 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x5o . | 5 | 0 5 0 | * * 1440 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 2400 | 0 0 1 1 -------------+------+----------------+--------------------------+----------------- x3x5o . ♦ 60 | 30 60 0 | 20 0 12 0 0 | 120 * * * x3x . x5/3*b ♦ 120 | 60 60 60 | 20 30 0 12 0 | * 120 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 1200 * . x5o3x5/3*b ♦ 60 | 0 60 60 | 0 0 12 12 20 | * * * 120
x3x5/4o3/2x5/3*b . . . . | 7200 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -----------------+------+----------------+--------------------------+----------------- x . . . | 2 | 3600 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 7200 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 7200 | 0 1 0 1 1 | 0 1 1 1 -----------------+------+----------------+--------------------------+----------------- x3x . . | 6 | 3 3 0 | 2400 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x5/4o . | 5 | 0 5 0 | * * 1440 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 2400 | 0 0 1 1 -----------------+------+----------------+--------------------------+----------------- x3x5/4o . ♦ 60 | 30 60 0 | 20 0 12 0 0 | 120 * * * x3x . x5/3*b ♦ 120 | 60 60 60 | 20 30 0 12 0 | * 120 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 1200 * . x5/4o3/2x5/3*b ♦ 60 | 0 60 60 | 0 0 12 12 20 | * * * 120
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