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| by cells: | gaddid | gissid | tet |
| gixhihy | 120 | 120 | 600 |
- general polytopal classes:
- Wythoffian polychora
links
| Acronym | gixhihy | ||||||||
| Name | great hexacosihecatonicosihecatonicosachoron | ||||||||
| Cross sections |
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| Circumradius | 3-sqrt(5) = 0.763932 | ||||||||
| General of army | sidpixhi | ||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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| Face vector | 2400, 7200, 4560, 840 | ||||||||
| Confer |
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As abstract polytope gixhihy is isomorphic to sixhihy, thereby replacing decagrams by decagons and pentagrams by pentagons, respectively replacing gissid by doe and gaddid by saddid. – It also is isomorphic to gidthixhi, thereby replacing only pentagrams by pentagons, respectively replacing gissid by doe and gaddid by gidditdid. – Finally it is isomorphic to sidthixhi, thereby replacing only decagrams by decagons, respectively replacing gaddid by sidditdid.
Incidence matrix according to Dynkin symbol
o3o3x5/3x5/2*b . . . . | 2400 | 3 3 | 3 3 3 | 1 3 1 ---------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 ---------------+------+-----------+---------------+------------ . o3x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/2*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 ---------------+------+-----------+---------------+------------ o3o3x . ♦ 4 | 6 0 | 4 0 0 | 600 * * o3o . x5/2*b ♦ 20 | 0 30 | 0 12 0 | * 120 * . o3x5/3x5/2*b ♦ 60 | 60 60 | 20 12 12 | * * 120
o3o3/2x5/3x5/3*b . . . . | 2400 | 3 3 | 3 3 3 | 1 3 1 -----------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 -----------------+------+-----------+---------------+------------ . o3/2x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/3*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 -----------------+------+-----------+---------------+------------ o3o3/2x . ♦ 4 | 6 0 | 4 0 0 | 600 * * o3o . x5/3*b ♦ 20 | 0 30 | 0 12 0 | * 120 * . o3/2x5/3x5/3*b ♦ 60 | 60 60 | 20 12 12 | * * 120
o3/2o3x5/3x5/2*b . . . . | 2400 | 3 3 | 3 3 3 | 1 3 1 -----------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 -----------------+------+-----------+---------------+------------ . o3x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/2*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 -----------------+------+-----------+---------------+------------ o3/2o3x . ♦ 4 | 6 0 | 4 0 0 | 600 * * o3/2o . x5/2*b ♦ 20 | 0 30 | 0 12 0 | * 120 * . o3x5/3x5/2*b ♦ 60 | 60 60 | 20 12 12 | * * 120
o3/2o3/2x5/3x5/3*b . . . . | 2400 | 3 3 | 3 3 3 | 1 3 1 -------------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 -------------------+------+-----------+---------------+------------ . o3/2x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/3*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 -------------------+------+-----------+---------------+------------ o3/2o3/2x . ♦ 4 | 6 0 | 4 0 0 | 600 * * o3/2o . x5/3*b ♦ 20 | 0 30 | 0 12 0 | * 120 * . o3/2x5/3x5/3*b ♦ 60 | 60 60 | 20 12 12 | * * 120
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