Acronym | qrigogishi (old: qrahi) |
Name | quasirhombated great grand stellated hecatonicosachoron |
Circumradius | sqrt[23-10 sqrt(5)] = 0.799575 |
Face vector | 3600, 10800, 9120, 1920 |
Confer |
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External links |
As abstract polytope qrigogishi is isomorphic to srahi, thereby replacing pentagrams by pentagons and replacing qrid by srid. – As such qrigogishi is a lieutenant.
Incidence matrix according to Dynkin symbol
o3x3o5/3x . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 ----------+------+-----------+--------------------+------------- . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 ----------+------+-----------+--------------------+------------- o3x . . | 3 | 3 0 | 2400 * * * | 1 1 0 . x3o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x | 4 | 2 2 | * * 3600 * | 0 1 1 . . o5/3x | 5 | 0 5 | * * * 720 | 0 0 2 ----------+------+-----------+--------------------+------------- o3x3o . ♦ 6 | 12 0 | 4 4 0 0 | 600 * * o3x . x ♦ 6 | 6 3 | 2 0 3 0 | * 1200 * . x3o5/3x ♦ 60 | 60 60 | 0 20 30 12 | * * 120
o3x3/2o5/2x . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 ------------+------+-----------+--------------------+------------- . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 ------------+------+-----------+--------------------+------------- o3x . . | 3 | 3 0 | 2400 * * * | 1 1 0 . x3/2o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x | 4 | 2 2 | * * 3600 * | 0 1 1 . . o5/2x | 5 | 0 5 | * * * 720 | 0 0 2 ------------+------+-----------+--------------------+------------- o3x3/2o . ♦ 6 | 12 0 | 4 4 0 0 | 600 * * o3x . x ♦ 6 | 6 3 | 2 0 3 0 | * 1200 * . x3/2o5/2x ♦ 60 | 60 60 | 0 20 30 12 | * * 120
o3/2x3o5/3x . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 ------------+------+-----------+--------------------+------------- . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 ------------+------+-----------+--------------------+------------- o3/2x . . | 3 | 3 0 | 2400 * * * | 1 1 0 . x3o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x | 4 | 2 2 | * * 3600 * | 0 1 1 . . o5/3x | 5 | 0 5 | * * * 720 | 0 0 2 ------------+------+-----------+--------------------+------------- o3/2x3o . ♦ 6 | 12 0 | 4 4 0 0 | 600 * * o3/2x . x ♦ 6 | 6 3 | 2 0 3 0 | * 1200 * . x3o5/3x ♦ 60 | 60 60 | 0 20 30 12 | * * 120
o3/2x3/2o5/2x . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 --------------+------+-----------+--------------------+------------- . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 --------------+------+-----------+--------------------+------------- o3/2x . . | 3 | 3 0 | 2400 * * * | 1 1 0 . x3/2o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x | 4 | 2 2 | * * 3600 * | 0 1 1 . . o5/2x | 5 | 0 5 | * * * 720 | 0 0 2 --------------+------+-----------+--------------------+------------- o3/2x3/2o . ♦ 6 | 12 0 | 4 4 0 0 | 600 * * o3/2x . x ♦ 6 | 6 3 | 2 0 3 0 | * 1200 * . x3/2o5/2x ♦ 60 | 60 60 | 0 20 30 12 | * * 120
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