Acronym | graghi | ||||||||
Name | great rhombated grand hecatonicosachoron | ||||||||
Cross sections |
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Circumradius | sqrt[14+3 sqrt(5)] = 4.550627 | ||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 14400, 8160, 960 | ||||||||
Confer |
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External links |
As abstract polytope graghi is isomorphic to gaqrigashi, thereby replacing the decagons by decagrams and the pentagrams by pentagons, resp. replacing the grid by gaquatid, the tiggy by ti, and the stip by pip.
Incidence matrix according to Dynkin symbol
x5x3x5/2o . . . . | 7200 | 1 1 2 | 1 2 2 1 | 2 1 1 ----------+------+----------------+--------------------+------------ x . . . | 2 | 3600 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 3600 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 7200 | 0 1 1 1 | 1 1 1 ----------+------+----------------+--------------------+------------ x5x . . | 10 | 5 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 3600 * * | 1 1 0 . x3x . | 6 | 0 3 3 | * * 2400 * | 1 0 1 . . x5/2o | 5 | 0 0 5 | * * * 1440 | 0 1 1 ----------+------+----------------+--------------------+------------ x5x3x . ♦ 120 | 60 60 60 | 12 30 20 0 | 120 * * x . x5/2o ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * . x3x5/2o ♦ 60 | 0 30 60 | 0 0 20 12 | * * 120
x5x3x5/3o . . . . | 7200 | 1 1 2 | 1 2 2 1 | 2 1 1 ----------+------+----------------+--------------------+------------ x . . . | 2 | 3600 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 3600 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 7200 | 0 1 1 1 | 1 1 1 ----------+------+----------------+--------------------+------------ x5x . . | 10 | 5 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 3600 * * | 1 1 0 . x3x . | 6 | 0 3 3 | * * 2400 * | 1 0 1 . . x5/3o | 5 | 0 0 5 | * * * 1440 | 0 1 1 ----------+------+----------------+--------------------+------------ x5x3x . ♦ 120 | 60 60 60 | 12 30 20 0 | 120 * * x . x5/3o ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * . x3x5/3o ♦ 60 | 0 30 60 | 0 0 20 12 | * * 120
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