Acronym | hixquathix | ||||||||
Name | hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron | ||||||||
Cross sections |
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Circumradius | sqrt[(43-15 sqrt(5))/2] = 2.174739 | ||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 14400, 6960, 840 | ||||||||
Confer |
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External links |
As abstract polytope hixquathix is isomorphic to hixthix, thereby interchanging decagons and decagrams, respectively replacing quit gissid by tid.
Incidence matrix according to Dynkin symbol
o3x3x5x5/3*b . . . . | 7200 | 2 1 1 | 1 2 2 1 | 1 1 2 -------------+------+----------------+--------------------+------------ . x . . | 2 | 7200 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 3600 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 3600 | 0 0 2 1 | 0 1 2 -------------+------+----------------+--------------------+------------ o3x . . | 3 | 3 0 0 | 2400 * * * | 1 1 0 . x3x . | 6 | 3 3 0 | * 2400 * * | 1 0 1 . x . x5/3*b | 10 | 5 0 5 | * * 1440 * | 0 1 1 . . x5x | 10 | 0 5 5 | * * * 720 | 0 0 2 -------------+------+----------------+--------------------+------------ o3x3x . ♦ 12 | 12 6 0 | 4 4 0 0 | 600 * * o3x . x5/3*b ♦ 60 | 60 0 30 | 20 0 12 0 | * 120 * . x3x5x5/3*b ♦ 120 | 60 60 60 | 0 20 12 12 | * * 120
o3/2x3x5x5/3*b . . . . | 7200 | 2 1 1 | 1 2 2 1 | 1 1 2 ---------------+------+----------------+--------------------+------------ . x . . | 2 | 7200 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 3600 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 3600 | 0 0 2 1 | 0 1 2 ---------------+------+----------------+--------------------+------------ o3/2x . . | 3 | 3 0 0 | 2400 * * * | 1 1 0 . x3x . | 6 | 3 3 0 | * 2400 * * | 1 0 1 . x . x5/3*b | 10 | 5 0 5 | * * 1440 * | 0 1 1 . . x5x | 10 | 0 5 5 | * * * 720 | 0 0 2 ---------------+------+----------------+--------------------+------------ o3/2x3x . ♦ 12 | 12 6 0 | 4 4 0 0 | 600 * * o3/2x . x5/3*b ♦ 60 | 60 0 30 | 20 0 12 0 | * 120 * . x3x5x5/3*b ♦ 120 | 60 60 60 | 0 20 12 12 | * * 120
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