Acronym | sipthi | |||||||||||||||||||||
Name | small prismatotriakishecatonicosachoron | |||||||||||||||||||||
Circumradius | sqrt[8-2 sqrt(5)] = 1.878261 | |||||||||||||||||||||
General of army | 1/(3f+2)-f3x3f5o | |||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 18000, 10320, 1560 | |||||||||||||||||||||
Confer |
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External links |
As abstract polytope sipthi is isomorphic to gipthi, thereby interchanging the roles of decagons and decagrams and replacing the pentagrams by pentagons, respectively replacing tigid by quit sissid and gaddid by saddid.
Incidence matrix according to Dynkin symbol
x5x5/2o3x5/3*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 ---------------+------+----------------+--------------------------+----------------- x5x . . | 10 | 5 5 0 | 1440 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x5/2o . | 5 | 0 5 0 | * * 1440 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 2400 | 0 0 1 1 ---------------+------+----------------+--------------------------+----------------- x5x5/2o . ♦ 60 | 30 60 0 | 12 0 12 0 0 | 120 * * * x5x . x5/3*b ♦ 120 | 60 60 60 | 12 30 0 12 0 | * 120 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 1200 * . x5/2o3x5/3*b ♦ 60 | 0 60 60 | 0 0 12 12 20 | * * * 120
x5x5/3o3/2x5/3*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 -----------------+------+----------------+--------------------------+----------------- x5x . . | 10 | 5 5 0 | 1440 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x5/3o . | 5 | 0 5 0 | * * 1440 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 2400 | 0 0 1 1 -----------------+------+----------------+--------------------------+----------------- x5x5/3o . ♦ 60 | 30 60 0 | 12 0 12 0 0 | 120 * * * x5x . x5/3*b ♦ 120 | 60 60 60 | 12 30 0 12 0 | * 120 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 1200 * . x5/3o3/2x5/3*b ♦ 60 | 0 60 60 | 0 0 12 12 20 | * * * 120
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