Acronym | hixtixhi | |||||||||||||||||||||
Name | hecatonicosihexacositruncated hexacosihecatonicosachoron | |||||||||||||||||||||
Circumradius | sqrt[10+2 sqrt(5)] = 3.804226 | |||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 18000, 9120, 960 | |||||||||||||||||||||
Confer |
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External links |
As abstract polytope hixtixhi is isomorphic to hixquitixhi, thereby replacing pentagrams by pentagons and interchanging the roles of the decagons and decagrams, respectively replacing gaddid by saddid and tigid by quit sissid.
Incidence matrix according to Dynkin symbol
x3x5x5/2o3*a5/3*c . . . . | 7200 | 2 1 2 | 2 2 1 2 1 | 2 1 1 1 ------------------+------+----------------+--------------------------+---------------- x . . . | 2 | 7200 * * | 1 1 1 0 0 | 1 1 1 0 . x . . | 2 | * 3600 * | 2 0 0 2 0 | 2 1 0 1 . . x . | 2 | * * 7200 | 0 1 0 1 1 | 1 0 1 1 ------------------+------+----------------+--------------------------+---------------- x3x . . | 6 | 3 3 0 | 2400 * * * * | 1 1 0 0 x . x . *a5/3*c | 10 | 5 0 5 | * 1440 * * * | 1 0 1 0 x . . o3*a | 3 | 3 0 0 | * * 2400 * * | 0 1 1 0 . x5x . | 10 | 0 5 5 | * * * 1440 * | 1 0 0 1 . . x5/2o | 5 | 0 0 5 | * * * * 1440 | 0 0 1 1 ------------------+------+----------------+--------------------------+---------------- x3x5x . *a5/3*c ♦ 120 | 60 60 60 | 20 12 0 12 0 | 120 * * * x3x . o3*a ♦ 12 | 12 6 0 | 4 0 4 0 0 | * 600 * * x . x5/2o3*a5/3*c ♦ 60 | 60 0 60 | 0 12 20 0 12 | * * 120 * . x5x5/2o ♦ 60 | 0 30 60 | 0 0 0 12 12 | * * * 120
x3x5x5/3o3/2*a5/3*c . . . . | 7200 | 2 1 2 | 2 2 1 2 1 | 2 1 1 1 --------------------+------+----------------+--------------------------+---------------- x . . . | 2 | 7200 * * | 1 1 1 0 0 | 1 1 1 0 . x . . | 2 | * 3600 * | 2 0 0 2 0 | 2 1 0 1 . . x . | 2 | * * 7200 | 0 1 0 1 1 | 1 0 1 1 --------------------+------+----------------+--------------------------+---------------- x3x . . | 6 | 3 3 0 | 2400 * * * * | 1 1 0 0 x . x . *a5/3*c | 10 | 5 0 5 | * 1440 * * * | 1 0 1 0 x . . o3/2*a | 3 | 3 0 0 | * * 2400 * * | 0 1 1 0 . x5x . | 10 | 0 5 5 | * * * 1440 * | 1 0 0 1 . . x5/3o | 5 | 0 0 5 | * * * * 1440 | 0 0 1 1 --------------------+------+----------------+--------------------------+---------------- x3x5x . *a5/3*c ♦ 120 | 60 60 60 | 20 12 0 12 0 | 120 * * * x3x . o3/2*a ♦ 12 | 12 6 0 | 4 0 4 0 0 | * 600 * * x . x5/3o3/2*a5/3*c ♦ 60 | 60 0 60 | 0 12 20 0 12 | * * 120 * . x5x5/3o ♦ 60 | 0 30 60 | 0 0 0 12 12 | * * * 120
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