Acronym | gik vixathi | ||||||||||||||||||||||||||||||||||||||||
Name | great skewverted hexacositriakishecatonicosachoro | ||||||||||||||||||||||||||||||||||||||||
Cross sections |
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Circumradius | sqrt[13-4 sqrt(5)] = 2.013884 | ||||||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 21600, 13680, 960 | ||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope gik vixathi is isomorphic to sik vixathi, thereby replacing pentagrams by pentagons and decagrams by decagons, respectively siid by giid, gaddid by saddid, and gaquatid by grid.
Incidence matrix according to Dynkin symbol
o3x3x5/3x3*a5/2*c . . . . | 7200 | 2 2 2 | 1 1 1 2 2 2 | 1 1 1 2 ------------------+------+----------------+-------------------------------+---------------- . 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 ------------------+------+----------------+-------------------------------+---------------- o3x . . | 3 | 3 0 0 | 2400 * * * * * | 1 1 0 0 o . x . *a5/2*c | 5 | 0 5 0 | * 1440 * * * * | 1 0 1 0 o . . x3*a | 3 | 0 0 3 | * * 2400 * * * | 0 1 1 0 . x3x . | 6 | 3 3 0 | * * * 2400 * * | 1 0 0 1 . x . x | 4 | 2 0 2 | * * * * 3600 * | 0 1 0 1 . . x5/3x | 10 | 0 5 5 | * * * * * 1440 | 0 0 1 1 ------------------+------+----------------+-------------------------------+---------------- o3x3x . *a5/2*c ♦ 60 | 60 60 0 | 20 12 0 20 0 0 | 120 * * * o3x . x3*a ♦ 12 | 12 0 12 | 4 0 4 0 6 0 | * 600 * * o . x5/3x3*a5/2*c ♦ 60 | 0 60 60 | 0 12 20 0 0 12 | * * 120 * . x3x5/3x ♦ 120 | 60 60 60 | 0 0 0 20 30 12 | * * * 120
o3/2x3x5/3x3/2*a5/3*c . . . . | 7200 | 2 2 2 | 1 1 1 2 2 2 | 1 1 1 2 ----------------------+------+----------------+-------------------------------+---------------- . 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 ----------------------+------+----------------+-------------------------------+---------------- o3/2x . . | 3 | 3 0 0 | 2400 * * * * * | 1 1 0 0 o . x . *a5/3*c | 5 | 0 5 0 | * 1440 * * * * | 1 0 1 0 o . . x3/2*a | 3 | 0 0 3 | * * 2400 * * * | 0 1 1 0 . x3x . | 6 | 3 3 0 | * * * 2400 * * | 1 0 0 1 . x . x | 4 | 2 0 2 | * * * * 3600 * | 0 1 0 1 . . x5/3x | 10 | 0 5 5 | * * * * * 1440 | 0 0 1 1 ----------------------+------+----------------+-------------------------------+---------------- o3/2x3x . *a5/3*c ♦ 60 | 60 60 0 | 20 12 0 20 0 0 | 120 * * * o3/2x . x3/2*a ♦ 12 | 12 0 12 | 4 0 4 0 6 0 | * 600 * * o . x5/3x3/2*a5/3*c ♦ 60 | 0 60 60 | 0 12 20 0 0 12 | * * 120 * . x3x5/3x ♦ 120 | 60 60 60 | 0 0 0 20 30 12 | * * * 120
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