runcitruncated hexeract
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | potax |
| Name |
prismatotruncated hexeract, runcitruncated hexeract |
| Circumradius | sqrt[(17+8 sqrt(2))/2] = 3.762560 |
| Coordinates | ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2) & all permutations, all changes of sign |
| Face vector | 3840, 17280, 25280, 16000, 4668, 508 |
| Confer |
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External links |
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As abstract polytope potax is isomorphic to quoptax, thereby replacing octagons by octagrams, resp. tic by quith and op by stop, resp. proh by quiproh and todip by tistodip, resp pattin by quiptin and otet by stotet.
Incidence matrix according to Dynkin symbol
o3o3x3o3x4x . . . . . . | 3840 | 6 2 1 | 6 3 3 3 1 2 | 2 3 6 6 3 3 6 1 | 1 2 2 3 3 6 3 | 1 1 2 3 ------------+------+-----------------+------------------------------+---------------------------------------+----------------------------+-------------- . . x . . . | 2 | 11520 * * | 2 1 1 1 0 0 | 1 2 2 2 1 1 1 0 | 1 1 1 2 2 2 1 | 1 1 1 2 . . . . x . | 2 | * 3840 * | 0 0 3 0 1 1 | 0 0 3 0 3 0 3 1 | 0 1 0 3 0 3 3 | 1 0 1 3 . . . . . x | 2 | * * 1920 | 0 0 0 6 0 2 | 0 0 0 6 0 3 6 1 | 0 0 2 0 3 6 3 | 0 1 2 3 ------------+------+-----------------+------------------------------+---------------------------------------+----------------------------+-------------- . o3x . . . | 3 | 3 0 0 | 7680 * * * * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x3o . . | 3 | 3 0 0 | * 3840 * * * * | 0 2 0 0 1 1 0 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . x . x . | 4 | 2 2 0 | * * 5760 * * * | 0 0 2 0 1 0 1 0 | 0 1 0 2 0 2 1 | 1 0 1 2 . . x . . x | 4 | 2 0 2 | * * * 5760 * * | 0 0 0 2 0 1 1 0 | 0 0 1 0 2 2 1 | 0 1 1 2 . . . o3x . | 3 | 0 3 0 | * * * * 1280 * | 0 0 0 0 3 0 0 1 | 0 0 0 3 0 0 3 | 1 0 0 3 . . . . x4x | 8 | 0 4 4 | * * * * * 960 | 0 0 0 0 0 0 3 1 | 0 0 0 0 0 3 3 | 0 0 1 3 ------------+------+-----------------+------------------------------+---------------------------------------+----------------------------+-------------- o3o3x . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 1920 * * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . o3x3o . . ♦ 6 | 12 0 0 | 4 4 0 0 0 0 | * 1920 * * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . o3x . x . ♦ 6 | 6 3 0 | 2 0 3 0 0 0 | * * 3840 * * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . o3x . . x ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * * * 3840 * * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3o3x . ♦ 12 | 12 12 0 | 0 4 6 0 4 0 | * * * * 960 * * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x3o . x ♦ 6 | 6 0 3 | 0 2 0 3 0 0 | * * * * * 1920 * * | 0 0 0 0 2 0 1 | 0 1 0 2 . . x . x4x ♦ 16 | 8 8 8 | 0 0 4 4 0 2 | * * * * * * 1440 * | 0 0 0 0 0 2 1 | 0 0 1 2 . . . o3x4x ♦ 24 | 0 24 12 | 0 0 0 0 8 6 | * * * * * * * 160 | 0 0 0 0 0 0 3 | 0 0 0 3 ------------+------+-----------------+------------------------------+---------------------------------------+----------------------------+-------------- o3o3x3o . . ♦ 10 | 30 0 0 | 20 10 0 0 0 0 | 5 5 0 0 0 0 0 0 | 384 * * * * * * | 1 1 0 0 o3o3x . x . ♦ 8 | 12 4 0 | 8 0 6 0 0 0 | 2 0 4 0 0 0 0 0 | * 960 * * * * * | 1 0 1 0 o3o3x . . x ♦ 8 | 12 0 4 | 8 0 0 6 0 0 | 2 0 0 4 0 0 0 0 | * * 960 * * * * | 0 1 1 0 . o3x3o3x . ♦ 30 | 60 30 0 | 20 20 30 0 10 0 | 0 5 10 0 5 0 0 0 | * * * 384 * * * | 1 0 0 1 . o3x3o . x ♦ 12 | 24 0 6 | 8 8 0 12 0 0 | 0 2 0 4 0 4 0 0 | * * * * 960 * * | 0 1 0 1 . o3x . x4x ♦ 24 | 24 12 12 | 8 0 12 12 0 3 | 0 0 4 4 0 0 3 0 | * * * * * 960 * | 0 0 1 1 . . x3o3x4x ♦ 192 | 192 192 96 | 0 64 96 96 64 48 | 0 0 0 0 16 32 24 8 | * * * * * * 60 | 0 0 0 2 ------------+------+-----------------+------------------------------+---------------------------------------+----------------------------+-------------- o3o3x3o3x . ♦ 60 | 180 60 0 | 120 60 90 0 20 0 | 30 30 60 0 15 0 0 0 | 6 15 0 6 0 0 0 | 64 * * * o3o3x3o . x ♦ 20 | 60 0 10 | 40 20 0 30 0 0 | 10 10 0 20 0 10 0 0 | 2 0 5 0 5 0 0 | * 192 * * o3o3x . x4x ♦ 32 | 48 16 16 | 32 0 24 24 0 4 | 8 0 16 16 0 0 6 0 | 0 4 4 0 0 4 0 | * * 240 * . o3x3o3x4x ♦ 960 | 1920 960 480 | 640 640 960 960 320 240 | 0 160 320 320 160 320 240 40 | 0 0 0 32 80 80 10 | * * * 12
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