Acronym | gixipady | |||||||||||||||||||||
Name | great hexacosiprismatodishecatonicosachoron | |||||||||||||||||||||
Circumradius | sqrt[25-10 sqrt(5)] = 1.624598 | |||||||||||||||||||||
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 |
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As abstract polytope gixipady is isomorphic to sixipady, thereby replacing pentagons by pentagrams and decagrams by decagons, resp. gidditdid by sidditdid, gaquatid by grid, and pip by stip.
Incidence matrix according to Dynkin symbol
x 3 | x 3 / \ 5/3 o---x 5
x3x3o5x5/3*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 . x3o . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o5x | 5 | 0 0 5 | * * * * 1440 | 0 0 1 1 -------------+------+----------------+--------------------------+---------------- x3x3o . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 600 * * * x3x . x5/3*b ♦ 120 | 60 60 60 | 20 30 0 12 0 | * 120 * * x . o5x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 720 * . x3o5x5/3*b ♦ 60 | 0 60 60 | 0 0 20 12 12 | * * * 120
x 3 | x 3/2 / \ 5/3 o---x 5/4
x3x3/2o5/4x5/3*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 . x3/2o . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o5/4x | 5 | 0 0 5 | * * * * 1440 | 0 0 1 1 -----------------+------+----------------+--------------------------+---------------- x3x3/2o . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 600 * * * x3x . x5/3*b ♦ 120 | 60 60 60 | 20 30 0 12 0 | * 120 * * x . o5/4x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 720 * . x3/2o5/4x5/3*b ♦ 60 | 0 60 60 | 0 0 20 12 12 | * * * 120
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