Acronym | sik vipathi | ||||||||||||||||||||||||||||||||||||||||
Name | small skewverted prismatotriakishecatonicosachoron | ||||||||||||||||||||||||||||||||||||||||
Circumradius | sqrt(8) = 2.828427 | ||||||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 21600, 13920, 1080 | ||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope sik vipathi is isomorphic to gik vipathi, thereby interchanging the roles of the pentagrams and pentagons and replacing the decagrams by decagons, respectively replacing srid by qrid, stiddip by dip, and gaddid by saddid.
Incidence matrix according to Dynkin symbol
x5o3x5/3x5/2*b . . . . | 7200 | 2 2 2 | 1 2 2 1 1 2 | 1 1 2 1 ---------------+------+----------------+-------------------------------+---------------- x . . . | 2 | 7200 * * | 1 1 1 0 0 0 | 1 1 1 0 . . 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 ---------------+------+----------------+-------------------------------+---------------- x5o . . | 5 | 5 0 0 | 1440 * * * * * | 1 1 0 0 x . x . | 4 | 2 2 0 | * 3600 * * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * * 3600 * * * | 0 1 1 0 . o3x . | 3 | 0 3 0 | * * * 2400 * * | 1 0 0 1 . o . x5/2*b | 5 | 0 0 5 | * * * * 1440 * | 0 1 0 1 . . x5/3x | 10 | 0 5 5 | * * * * * 1440 | 0 0 1 1 ---------------+------+----------------+-------------------------------+---------------- x5o3x . ♦ 60 | 60 60 0 | 12 30 0 20 0 0 | 120 * * * x5o . x5/2*b ♦ 60 | 60 0 60 | 12 0 30 0 12 0 | * 120 * * x . x5/3x ♦ 20 | 10 10 10 | 0 5 5 0 0 2 | * * 720 * . o3x5/3x5/2*b ♦ 60 | 0 60 60 | 0 0 0 20 12 12 | * * * 120
x5/4o3/2x5/3x5/3*b . . . . | 7200 | 2 2 2 | 1 2 2 1 1 2 | 1 1 2 1 -------------------+------+----------------+-------------------------------+---------------- x . . . | 2 | 7200 * * | 1 1 1 0 0 0 | 1 1 1 0 . . 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 -------------------+------+----------------+-------------------------------+---------------- x5/4o . . | 5 | 5 0 0 | 1440 * * * * * | 1 1 0 0 x . x . | 4 | 2 2 0 | * 3600 * * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * * 3600 * * * | 0 1 1 0 . o3/2x . | 3 | 0 3 0 | * * * 2400 * * | 1 0 0 1 . o . x5/3*b | 5 | 0 0 5 | * * * * 1440 * | 0 1 0 1 . . x5/3x | 10 | 0 5 5 | * * * * * 1440 | 0 0 1 1 -------------------+------+----------------+-------------------------------+---------------- x5/4o3/2x . ♦ 60 | 60 60 0 | 12 30 0 20 0 0 | 120 * * * x5/4o . x5/3*b ♦ 60 | 60 0 60 | 12 0 30 0 12 0 | * 120 * * x . x5/3x ♦ 20 | 10 10 10 | 0 5 5 0 0 2 | * * 720 * . o3/2x5/3x5/3*b ♦ 60 | 0 60 60 | 0 0 0 20 12 12 | * * * 120
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