(celligreat quasirhombated triacontiditeron)
©
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | quicgrat (old: cogqrit) |
| Name |
quasicelligreat rhombated triacontiditeron, (celligreat quasirhombated triacontiditeron) |
| Circumradius | sqrt[33-12 sqrt(2)]/2 = 2.001839 |
| Vertex figure |
|
| Coordinates | (3 sqrt(2)-1, 2 sqrt(2)-1, sqrt(2)-1, 1, 1)/2 & all permutations, all changes of sign |
| Colonel of regiment | gibcotdin |
| Face vector | 1920, 5760, 5920, 2320, 242 |
| Confer |
|
|
External links |
|
As abstract polytope quicgrat is isomorphic to cogart, thereby replacing querco by sirco, resp. quercope by sircope and paqrit by prit.
Incidence matrix according to Dynkin symbol
x3x3x3o4/3x . . . . . | 1920 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x . . . . | 2 | 960 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 960 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 1920 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 1920 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 320 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 960 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 960 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 640 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 960 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 640 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 960 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4/3x | 4 | 0 0 0 4 | * * * * * * * 480 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3x . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 320 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 320 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 480 * * * * * | 0 1 0 1 0 x . . o4/3x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 240 * * * * | 0 0 1 1 0 . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 160 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 320 * * | 0 1 0 0 1 . x . o4/3x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 240 * | 0 0 1 0 1 . . x3o4/3x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 80 | 0 0 0 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3x3o . ♦ 60 | 30 30 60 0 | 10 30 0 20 0 20 0 0 | 5 0 10 0 0 5 0 0 0 | 32 * * * * x3x3x . x ♦ 48 | 24 24 24 24 | 8 12 12 8 12 0 12 0 | 2 4 0 6 0 0 4 0 0 | * 80 * * * x3x . o4/3x ♦ 24 | 12 12 0 24 | 4 0 12 0 12 0 0 6 | 0 4 0 0 3 0 0 3 0 | * * 80 * * x . x3o4/3x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 40 * . x3x3o4/3x ♦ 192 | 0 96 192 192 | 0 0 0 64 96 64 96 48 | 0 0 0 0 0 16 32 24 8 | * * * * 10
x3x3x3/2o4x . . . . . | 1920 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x . . . . | 2 | 960 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 960 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 1920 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 1920 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 320 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 960 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 960 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 640 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 960 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3/2o . | 3 | 0 0 3 0 | * * * * * 640 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 960 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 0 4 | * * * * * * * 480 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3x . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 320 * * * * * * * | 0 1 1 0 0 x . x3/2o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 320 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 480 * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 240 * * * * | 0 0 1 1 0 . x3x3/2o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 160 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 320 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 240 * | 0 0 1 0 1 . . x3/2o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 80 | 0 0 0 1 1 ------------+------+-------------------+---------------------------------+------------------------------------+--------------- x3x3x3/2o . ♦ 60 | 30 30 60 0 | 10 30 0 20 0 20 0 0 | 5 0 10 0 0 5 0 0 0 | 32 * * * * x3x3x . x ♦ 48 | 24 24 24 24 | 8 12 12 8 12 0 12 0 | 2 4 0 6 0 0 4 0 0 | * 80 * * * x3x . o4x ♦ 24 | 12 12 0 24 | 4 0 12 0 12 0 0 6 | 0 4 0 0 3 0 0 3 0 | * * 80 * * x . x3/2o4x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 40 * . x3x3/2o4x ♦ 192 | 0 96 192 192 | 0 0 0 64 96 64 96 48 | 0 0 0 0 0 16 32 24 8 | * * * * 10
© 2004-2025 | top of page |