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| by cells: | dip | gaquatid | grid | stiddip |
| gaquidphihi | 720 | 120 | 120 | 720 |
- general polytopal classes:
- Wythoffian polychora
links
| Acronym | gaquidphihi | ||||||||||
| Name | great quasidisprismatohecatonicosihecatonicosachoron | ||||||||||
| Cross sections |
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| Circumradius | sqrt(18) = 4.242641 | ||||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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| Face vector | 14400, 28800, 16080, 1680 | ||||||||||
| Confer |
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External links |
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As abstract polytope gaquidphihi is an automorph polychoron, thereby interchanging the roles of decagrams and decagons, resp. interchanging the gaquatid and grid resp. the dip and stiddip.
Incidence matrix according to Dynkin symbol
x5x3x5/3x . . . . | 14400 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 ----------+-------+---------------------+-------------------------------+---------------- x . . . | 2 | 7200 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 7200 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 7200 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 7200 | 0 0 1 0 1 1 | 0 1 1 1 ----------+-------+---------------------+-------------------------------+---------------- x5x . . | 10 | 5 5 0 0 | 1440 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 3600 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 3600 * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 2400 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 3600 * | 0 1 0 1 . . x5/3x | 10 | 0 0 5 5 | * * * * * 1440 | 0 0 1 1 ----------+-------+---------------------+-------------------------------+---------------- x5x3x . ♦ 120 | 60 60 60 0 | 12 30 0 20 0 0 | 120 * * * x5x . x ♦ 20 | 10 10 0 10 | 2 0 5 0 5 0 | * 720 * * x . x5/3x ♦ 20 | 10 0 10 10 | 0 5 5 0 0 2 | * * 720 * . x3x5/3x ♦ 120 | 0 60 60 60 | 0 0 0 20 30 12 | * * * 120
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