Acronym | giqragashi |
Name | great quasirhombated grand stellated hecatonicosachoron |
Circumradius | 2 |
General of army | sidpixhi |
Colonel of regiment | sabbadipady |
Confer |
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This fissary polychoron can be seen as a blend of the great blendic disprismatodishecatonicosachoron (gabbadipady) and the great spinoblendic trishecatonicosachoron (ganbathi). The vertices of the abstract version (type A) thus coincide by 3 each, and the compound vertex figure coincides at the decagons. Therefore it also can be considered as reduced polychoron, crossing over at these decagons (type B) or even dividing those decagons in 2 classes, which either connect 2 quasitruncated dodecadodecahedra (quitdid) or 2 truncated great dodecahedra (tigid), given below as type C, which further shows that this polychoron also can be seen as a blend of the small spinoblendic trishecatonicosachoron (sanbathi) and the truncated great grand hecatonicosachoron (tigaghi).
As abstract polytope giqragashi is isomorphic to gaqrigohi, thereby replacing the pentagrams by pentagons and interchanging the roles of decagons and decagrams, resp. replacing tigid by quit sissid and replacing stip by pip.
Incidence matrix according to Dynkin symbol
x5/3x5x5/2o (type A) . . . . | 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 ------------+------+----------------+--------------------+------------ x5/3x . . | 10 | 5 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 3600 * * | 1 1 0 . x5x . | 10 | 0 5 5 | * * 1440 * | 1 0 1 . . x5/2o | 5 | 0 0 5 | * * * 1440 | 0 1 1 ------------+------+----------------+--------------------+------------ x5/3x5x . ♦ 120 | 60 60 60 | 12 30 12 0 | 120 * * x . x5/2o ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * . x5x5/2o ♦ 60 | 0 30 60 | 0 0 12 12 | * * 120
x5/3x5x5/3o (type A) . . . . | 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 ------------+------+----------------+--------------------+------------ x5/3x . . | 10 | 5 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 3600 * * | 1 1 0 . x5x . | 10 | 0 5 5 | * * 1440 * | 1 0 1 . . x5/3o | 5 | 0 0 5 | * * * 1440 | 0 1 1 ------------+------+----------------+--------------------+------------ x5/3x5x . ♦ 120 | 60 60 60 | 12 30 12 0 | 120 * * x . x5/3o ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * . x5x5/3o ♦ 60 | 0 30 60 | 0 0 12 12 | * * 120
(type B) 2400 | 3 1 3 | 3 6 6 3 | 6 3 3 ------+----------------+--------------------+------------ 2 | 3600 * * | 1 2 0 0 | 2 1 0 2 | * 1200 * | 3 0 6 0 | 6 0 3 2 | * * 3600 | 0 2 2 2 | 2 2 2 ------+----------------+--------------------+------------ 10 | 5 5 0 | 720 * * * | 2 0 0 4 | 2 0 2 | * 3600 * * | 1 1 0 10 | 0 5 5 | * * 1440 * | 1 0 1 5 | 0 0 5 | * * * 1440 | 0 1 1 ------+----------------+--------------------+------------ ♦ 120 | 60 60 60 | 12 30 12 0 | 120 * * ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * ♦ 60 | 0 30 60 | 0 0 12 12 | * * 120
(type C) 2400 | 3 1 1 3 | 3 6 3 3 3 | 6 3 3 ------+---------------------+-----------------------+------------ 2 | 3600 * * * | 1 2 0 0 0 | 2 1 0 2 | * 1200 * * | 0 0 3 0 0 | 0 0 3 2 | * * 1200 * | 3 0 0 3 0 | 6 0 0 2 | * * * 3600 | 0 2 1 1 2 | 2 2 2 ------+---------------------+-----------------------+------------ 10 | 5 0 5 0 | 720 * * * * | 2 0 0 4 | 2 0 0 2 | * 3600 * * * | 1 1 0 10 | 0 5 0 5 | * * 720 * * | 2 0 0 10 | 0 0 5 5 | * * * 720 * | 0 0 2 5 | 0 0 0 5 | * * * * 1440 | 0 1 1 ------+---------------------+-----------------------+------------ ♦ 120 | 60 0 60 60 | 12 30 12 0 0 | 120 * * ♦ 10 | 5 0 0 10 | 0 5 0 0 2 | * 720 * ♦ 60 | 0 30 0 60 | 0 0 0 12 12 | * * 120
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