Acronym | gaqrigohi |
Name | great quasirhombated great hecatonicosachoron |
Circumradius | 2 |
General of army | sidpixhi |
Colonel of regiment | sabbadipady |
Confer |
|
This fissary polychoron can be seen as a blend of the small blendic disprismatodishecatonicosachoron (sabbadipady) and the small spinoblendic trishecatonicosachoron (sanbathi). The vertices of the abstract version (type A) thus coincide by 3 each, and the compound vertex figure coincides at the decagrams. Therefore it also can be considered as reduced polychoron, crossing over at these decagrams (type B) or even dividing those decagrams in 2 classes, which either connect 2 quasitruncated dodecadodecahedra (quitdid) or 2 quasitruncated small stellated dodecahedra (quit sissid), given below as type C, which further shows that this polychoron also can be seen as a blend of the great spinoblendic trishecatonicosachoron (ganbathi) and the quasitruncated small stellated hecatonicosachoron (quit sishi).
As abstract polytope gaqrigohi is isomorphic to giqragashi, thereby replacing the pentagons by pentagrams and interchanging the roles of decagons and decagrams, resp. replacing quit sissid by tigid and replacing pip by stip.
Incidence matrix according to Dynkin symbol
x5x5/3x5o (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 ----------+------+----------------+--------------------+------------ x5x . . | 10 | 5 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 3600 * * | 1 1 0 . x5/3x . | 10 | 0 5 5 | * * 1440 * | 1 0 1 . . x5o | 5 | 0 0 5 | * * * 1440 | 0 1 1 ----------+------+----------------+--------------------+------------ x5x5/3x . ♦ 120 | 60 60 60 | 12 30 12 0 | 120 * * x . x5o ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * . x5/3x5o ♦ 60 | 0 30 60 | 0 0 12 12 | * * 120
x5x5/3x5/4o (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 ------------+------+----------------+--------------------+------------ x5x . . | 10 | 5 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 3600 * * | 1 1 0 . x5/3x . | 10 | 0 5 5 | * * 1440 * | 1 0 1 . . x5/4o | 5 | 0 0 5 | * * * 1440 | 0 1 1 ------------+------+----------------+--------------------+------------ x5x5/3x . ♦ 120 | 60 60 60 | 12 30 12 0 | 120 * * x . x5/4o ♦ 10 | 5 0 10 | 0 5 0 2 | * 720 * . x5/3x5/4o ♦ 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
© 2004-2024 | top of page |