pentitruncated hexeract
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | tacog |
| Name |
tericellated hexacontitetrapeton, pentitruncated hexeract |
| Circumradius | sqrt[(11+6 sqrt(2))/2] = 3.121320 |
| Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2) & all permutations, all changes of sign |
| Face vector | 1920, 8640, 16320, 15360, 6488, 728 |
| Confer |
|
|
External links |
|
As abstract polytope tacog is isomorphic to quotacog, thereby replacing octagons by octagrams, resp. op by stop and tic by quith, resp. todip by tistodip, ticcup by quithip, and tat by quitit, resp. otet by stotet, tratic by traquith, tattip by quititip, and tan by quittin.
Incidence matrix according to Dynkin symbol
x3o3o3o3x4x . . . . . . | 1920 | 4 4 1 | 6 12 4 6 4 | 4 12 6 12 12 4 6 | 1 4 4 6 12 4 12 1 4 | 1 1 4 6 4 1 ------------+------+---------------+-------------------------+-----------------------------------+--------------------------------------+--------------------- x . . . . . | 2 | 3840 * * | 3 3 1 0 0 | 3 6 3 3 3 0 0 | 1 3 3 3 6 1 3 0 0 | 1 1 3 3 1 0 . . . . x . | 2 | * 3840 * | 0 3 0 3 1 | 0 3 0 6 3 3 3 | 0 1 0 3 3 3 6 1 3 | 1 0 1 3 3 1 . . . . . x | 2 | * * 960 | 0 0 4 0 4 | 0 0 6 0 12 0 6 | 0 0 4 0 12 0 12 0 4 | 0 1 4 6 4 1 ------------+------+---------------+-------------------------+-----------------------------------+--------------------------------------+--------------------- x3o . . . . | 3 | 3 0 0 | 3840 * * * * | 2 2 1 0 0 0 0 | 1 2 2 1 2 0 0 0 0 | 1 1 2 1 0 0 x . . . x . | 4 | 2 2 0 | * 5760 * * * | 0 2 0 2 1 0 0 | 0 1 0 2 2 1 2 0 0 | 1 0 1 2 1 0 x . . . . x | 4 | 2 0 2 | * * 1920 * * | 0 0 3 0 3 0 0 | 0 0 3 0 6 0 3 0 0 | 0 1 3 3 1 0 . . . o3x . | 3 | 0 3 0 | * * * 3840 * | 0 0 0 2 0 2 1 | 0 0 0 1 0 2 2 1 2 | 1 0 0 1 2 1 . . . . x4x | 8 | 0 4 4 | * * * * 960 | 0 0 0 0 3 0 3 | 0 0 0 0 3 0 6 0 3 | 0 0 1 3 3 1 ------------+------+---------------+-------------------------+-----------------------------------+--------------------------------------+--------------------- x3o3o . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 | 1920 * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0 x3o . . x . ♦ 6 | 6 3 0 | 2 3 0 0 0 | * 3840 * * * * * | 0 1 0 1 1 0 0 0 0 | 1 0 1 1 0 0 x3o . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 | * * 1920 * * * * | 0 0 2 0 2 0 0 0 0 | 0 1 2 1 0 0 x . . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 | * * * 3840 * * * | 0 0 0 1 0 1 1 0 0 | 1 0 0 1 1 0 x . . . x4x ♦ 16 | 8 8 8 | 0 4 4 0 2 | * * * * 1440 * * | 0 0 0 0 2 0 2 0 0 | 0 0 1 2 1 0 . . o3o3x . ♦ 4 | 0 6 0 | 0 0 0 4 0 | * * * * * 1920 * | 0 0 0 0 0 1 0 1 1 | 1 0 0 0 1 1 . . . o3x4x ♦ 24 | 0 24 12 | 0 0 0 8 6 | * * * * * * 480 | 0 0 0 0 0 0 2 0 2 | 0 0 0 1 2 1 ------------+------+---------------+-------------------------+-----------------------------------+--------------------------------------+--------------------- x3o3o3o . . ♦ 5 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 0 0 | 384 * * * * * * * * | 1 1 0 0 0 0 x3o3o . x . ♦ 8 | 12 4 0 | 8 6 0 0 0 | 2 4 0 0 0 0 0 | * 960 * * * * * * * | 1 0 1 0 0 0 x3o3o . . x ♦ 8 | 12 0 4 | 8 0 6 0 0 | 2 0 4 0 0 0 0 | * * 960 * * * * * * | 0 1 1 0 0 0 x3o . o3x . ♦ 9 | 9 9 0 | 3 9 0 3 0 | 0 3 0 3 0 0 0 | * * * 1280 * * * * * | 1 0 0 1 0 0 x3o . . x4x ♦ 24 | 24 12 12 | 8 12 12 0 3 | 0 4 4 0 3 0 0 | * * * * 960 * * * * | 0 0 1 1 0 0 x . o3o3x . ♦ 8 | 4 12 0 | 0 6 0 8 0 | 0 0 0 4 0 2 0 | * * * * * 960 * * * | 1 0 0 0 1 0 x . . o3x4x ♦ 48 | 24 48 24 | 0 24 12 16 12 | 0 0 0 8 6 0 2 | * * * * * * 480 * * | 0 0 0 1 1 0 . o3o3o3x . ♦ 5 | 0 10 0 | 0 0 0 10 0 | 0 0 0 0 0 5 0 | * * * * * * * 384 * | 1 0 0 0 0 1 . . o3o3x4x ♦ 64 | 0 96 32 | 0 0 0 64 24 | 0 0 0 0 0 16 8 | * * * * * * * * 120 | 0 0 0 0 1 1 ------------+------+---------------+-------------------------+-----------------------------------+--------------------------------------+--------------------- x3o3o3o3x . ♦ 30 | 60 60 0 | 60 90 0 60 0 | 30 60 0 60 0 30 0 | 6 15 0 20 0 15 0 6 0 | 64 * * * * * x3o3o3o . x ♦ 10 | 20 0 5 | 20 0 10 0 0 | 10 0 10 0 0 0 0 | 2 0 5 0 0 0 0 0 0 | * 192 * * * * x3o3o . x4x ♦ 32 | 48 16 16 | 32 24 24 0 4 | 8 16 16 0 6 0 0 | 0 4 4 0 4 0 0 0 0 | * * 240 * * * x3o . o3x4x ♦ 72 | 72 72 36 | 24 72 36 24 18 | 0 24 12 24 18 0 3 | 0 0 0 8 6 0 3 0 0 | * * * 160 * * x . o3o3x4x ♦ 128 | 64 192 64 | 0 96 32 128 48 | 0 0 0 64 24 32 16 | 0 0 0 0 0 16 8 0 2 | * * * * 60 * . o3o3o3x4x ♦ 160 | 0 320 80 | 0 0 0 320 80 | 0 0 0 0 0 160 40 | 0 0 0 0 0 0 0 32 10 | * * * * * 12
© 2004-2024 | top of page |