steriruncinated hexeract
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | copox |
| Name |
celliprismated hexeract, steriruncinated hexeract |
| Circumradius | sqrt[(12+5 sqrt(2))/2] = 3.087966 |
| Coordinates | ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign |
| Face vector | 3840, 15360, 23360, 16320, 5148, 668 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
o3x3x3o3o4x . . . . . . | 3840 | 2 3 3 | 1 6 6 3 6 3 | 3 3 6 12 6 1 3 3 1 | 3 6 3 2 6 6 2 1 | 1 3 3 1 2 ------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------ . x . . . . | 2 | 3840 * * | 1 3 3 0 0 0 | 3 3 3 6 3 0 0 0 0 | 3 6 3 1 3 3 1 0 | 1 3 3 1 1 . . x . . . | 2 | * 5760 * | 0 2 0 2 2 0 | 1 0 4 4 0 1 2 1 0 | 2 2 0 2 4 2 0 1 | 1 2 1 0 2 . . . . . x | 2 | * * 5760 | 0 0 2 0 2 2 | 0 1 0 4 4 0 1 2 1 | 0 2 2 0 2 4 2 1 | 0 1 2 1 2 ------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------ o3x . . . . | 3 | 3 0 0 | 1280 * * * * * | 3 3 0 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 | 1 3 3 1 0 . x3x . . . | 6 | 3 3 0 | * 3840 * * * * | 1 0 2 2 0 0 0 0 0 | 2 2 0 1 2 1 0 0 | 1 2 1 0 1 . x . . . x | 4 | 2 0 2 | * * 5760 * * * | 0 1 0 2 2 0 0 0 0 | 0 2 2 0 1 2 1 0 | 0 1 2 1 1 . . x3o . . | 3 | 0 3 0 | * * * 3840 * * | 0 0 2 0 0 1 1 0 0 | 1 0 0 2 2 0 0 1 | 1 1 0 0 2 . . x . . x | 4 | 0 2 2 | * * * * 5760 * | 0 0 0 2 0 0 1 1 0 | 0 1 0 0 2 2 0 1 | 0 1 1 0 2 . . . . o4x | 4 | 0 0 4 | * * * * * 2880 | 0 0 0 0 2 0 0 1 1 | 0 0 1 0 0 2 2 1 | 0 0 1 1 2 ------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------ o3x3x . . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 960 * * * * * * * * | 2 2 0 0 0 0 0 0 | 1 2 1 0 0 o3x . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 1920 * * * * * * * | 0 2 2 0 0 0 0 0 | 0 1 2 1 0 . x3x3o . . ♦ 12 | 6 12 0 | 0 4 0 4 0 0 | * * 1920 * * * * * * | 1 0 0 1 1 0 0 0 | 1 1 0 0 1 . x3x . . x ♦ 12 | 6 6 6 | 0 2 3 0 3 0 | * * * 3840 * * * * * | 0 1 0 0 1 1 0 0 | 0 1 1 0 1 . x . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 2880 * * * * | 0 0 1 0 0 1 1 0 | 0 0 1 1 1 . . x3o3o . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * 960 * * * | 0 0 0 2 0 0 0 1 | 1 0 0 0 2 . . x3o . x ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * * * 1920 * * | 0 0 0 0 2 0 0 1 | 0 1 0 0 2 . . x . o4x ♦ 8 | 0 4 8 | 0 0 0 0 4 2 | * * * * * * * 1440 * | 0 0 0 0 0 2 0 1 | 0 0 1 0 2 . . . o3o4x ♦ 8 | 0 0 12 | 0 0 0 0 0 6 | * * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 0 1 2 ------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------ o3x3x3o . . ♦ 30 | 30 30 0 | 10 20 0 10 0 0 | 5 0 5 0 0 0 0 0 0 | 384 * * * * * * * | 1 1 0 0 0 o3x3x . . x ♦ 24 | 24 12 12 | 8 8 12 0 6 0 | 2 4 0 4 0 0 0 0 0 | * 960 * * * * * * | 0 1 1 0 0 o3x . . o4x ♦ 12 | 12 0 12 | 4 0 12 0 0 3 | 0 4 0 0 3 0 0 0 0 | * * 960 * * * * * | 0 0 1 1 0 . x3x3o3o . ♦ 20 | 10 30 0 | 0 10 0 20 0 0 | 0 0 5 0 0 5 0 0 0 | * * * 384 * * * * | 1 0 0 0 1 . x3x3o . x ♦ 24 | 12 24 12 | 0 8 6 8 12 0 | 0 0 2 4 0 0 4 0 0 | * * * * 960 * * * | 0 1 0 0 1 . x3x . o4x ♦ 24 | 12 12 24 | 0 4 12 0 12 6 | 0 0 0 4 3 0 0 3 0 | * * * * * 960 * * | 0 0 1 0 1 . x . o3o4x ♦ 16 | 8 0 24 | 0 0 12 0 0 12 | 0 0 0 0 6 0 0 0 2 | * * * * * * 480 * | 0 0 0 1 1 . . x3o3o4x ♦ 64 | 0 96 96 | 0 0 0 64 96 48 | 0 0 0 0 0 16 32 24 8 | * * * * * * * 60 | 0 0 0 0 2 ------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------ o3x3x3o3o . ♦ 60 | 60 90 0 | 20 60 0 60 0 0 | 15 0 30 0 0 15 0 0 0 | 6 0 0 6 0 0 0 0 | 64 * * * * o3x3x3o . x ♦ 60 | 60 60 30 | 20 40 30 20 30 0 | 10 10 10 20 0 0 10 0 0 | 2 5 0 0 5 0 0 0 | * 192 * * * o3x3x . o4x ♦ 48 | 48 24 48 | 16 16 48 0 24 12 | 4 16 0 16 12 0 0 6 0 | 0 4 4 0 0 4 0 0 | * * 240 * * o3x . o3o4x ♦ 24 | 24 0 36 | 8 0 36 0 0 18 | 0 12 0 0 18 0 0 0 3 | 0 0 6 0 0 0 3 0 | * * * 160 * . x3x3o3o4x ♦ 640 | 320 960 960 | 0 320 480 640 960 480 | 0 0 160 320 240 160 320 240 80 | 0 0 0 32 80 80 40 10 | * * * * 12 snubbed forms: o3x3x3o3o4s
© 2004-2024 | top of page |