Acronym | ... |
Name | gipriphi+600 2thah (?) |
Circumradius | sqrt[23-10 sqrt(5)] = 0.799575 |
Confer |
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This Grünbaumian polychoron is an edge-faceting of the quasirhombated great grand stellated hecatonicosachoron (qrigogishi). It can be seen as a union of gipriphi plus the 600 pseudo-thah filled in as doubled up copies, in fact, these double-covers unite as 2thah, thereby letting the surface cross over at this former pseudo-cells. And indeed, the vertex figure is an asymmetric faceting of the vertex figure of qrahi. Therefore there can be blended 2 mirror symmetric such, and, correspondingly, the vertices of this polychoron coincide by pairs.
As abstract polytope gipriphi+600 2thah is isomorphic to spriphi+600 2thah, thereby replacing decagrams by decagons, resp. by replacing quit gissid by tid and replacing stiddip by dip.
Incidence matrix according to Dynkin symbol
x5/3x3o3/2x . . . . | 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 ------------+------+----------------+--------------------------+----------------- x5/3x . . | 10 | 5 5 0 | 1440 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 3600 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 2400 | 0 0 1 1 ------------+------+----------------+--------------------------+----------------- x5/3x3o . ♦ 60 | 30 60 0 | 12 0 20 0 0 | 120 * * * x5/3x . x ♦ 20 | 10 10 10 | 2 5 0 5 0 | * 720 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 1200 * . x3o3/2x ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 600
x5/3x3/2o3x . . . . | 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 ------------+------+----------------+--------------------------+----------------- x5/3x . . | 10 | 5 5 0 | 1440 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 3600 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 2400 | 0 0 1 1 ------------+------+----------------+--------------------------+----------------- x5/3x3/2o . ♦ 60 | 30 60 0 | 12 0 20 0 0 | 120 * * * x5/3x . x ♦ 20 | 10 10 10 | 2 5 0 5 0 | * 720 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 1200 * . x3/2o3x ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 600
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