(great centrorhombated pentacontitetrapeton,
heptacontidia-bitruncated pentacontitetrapeton)
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | bitem (old: gacram, botam, kobtam) |
| Name |
bitruncated pentacontitetrapeton, (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton) |
| Circumradius | sqrt(17) = 4.123106 |
| Face vector | 6480, 19440, 21600, 10800, 2286, 126 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
o3x3x3x3o *c3o . . . . . . | 6480 | 2 2 2 | 1 4 4 4 1 1 | 2 2 8 2 2 2 2 | 4 1 1 4 4 1 | 2 2 2 ---------------+------+----------------+-------------------------------+------------------------------------+-------------------------+--------- . x . . . . | 2 | 6480 * * | 1 2 2 0 0 0 | 2 2 4 1 1 0 0 | 4 1 1 2 2 0 | 2 2 1 . . x . . . | 2 | * 6480 * | 0 2 0 2 1 0 | 1 0 4 2 0 1 2 | 2 1 0 2 4 1 | 1 2 2 . . . x . . | 2 | * * 6480 | 0 0 2 2 0 1 | 0 1 4 0 2 2 1 | 2 0 1 4 2 1 | 2 1 2 ---------------+------+----------------+-------------------------------+------------------------------------+-------------------------+--------- o3x . . . . | 3 | 3 0 0 | 2160 * * * * * | 2 2 0 0 0 0 0 | 4 1 1 0 0 0 | 2 2 0 . x3x . . . | 6 | 3 3 0 | * 4320 * * * * | 1 0 2 1 0 0 0 | 2 1 0 1 2 0 | 1 2 1 . x . x . . | 4 | 2 0 2 | * * 6480 * * * | 0 1 2 0 1 0 0 | 2 0 1 2 1 0 | 2 1 1 . . x3x . . | 6 | 0 3 3 | * * * 4320 * * | 0 0 2 0 0 1 1 | 1 0 0 2 2 1 | 1 1 2 . . x . . *c3o | 3 | 0 3 0 | * * * * 2160 * | 0 0 0 2 0 0 2 | 0 1 0 0 4 1 | 0 2 2 . . . x3o . | 3 | 0 0 3 | * * * * * 2160 | 0 0 0 0 2 2 0 | 0 0 1 4 0 1 | 2 0 2 ---------------+------+----------------+-------------------------------+------------------------------------+-------------------------+--------- o3x3x . . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 1080 * * * * * * | 2 1 0 0 0 0 | 1 2 0 o3x . x . . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 2160 * * * * * | 2 0 1 0 0 0 | 2 1 0 . x3x3x . . ♦ 24 | 12 12 12 | 0 4 6 4 0 0 | * * 2160 * * * * | 1 0 0 1 1 0 | 1 1 1 . x3x . . *c3o ♦ 12 | 6 12 0 | 0 4 0 0 4 0 | * * * 1080 * * * | 0 1 0 0 2 0 | 0 2 1 . x . x3o . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 2160 * * | 0 0 1 2 0 0 | 2 0 1 . . x3x3o . ♦ 12 | 0 6 12 | 0 0 0 4 0 4 | * * * * * 1080 * | 0 0 0 2 0 1 | 1 0 2 . . x3x . *c3o ♦ 12 | 0 12 6 | 0 0 0 4 4 0 | * * * * * * 1080 | 0 0 0 0 2 1 | 0 1 2 ---------------+------+----------------+-------------------------------+------------------------------------+-------------------------+--------- o3x3x3x . . ♦ 60 | 60 30 30 | 20 20 30 10 0 0 | 5 10 5 0 0 0 0 | 432 * * * * * | 1 1 0 o3x3x . . *c3o ♦ 30 | 30 30 0 | 10 20 0 0 10 0 | 5 0 0 5 0 0 0 | * 216 * * * * | 0 2 0 o3x . x3o . ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 3 0 0 3 0 0 | * * 720 * * * | 2 0 0 . x3x3x3o . ♦ 60 | 30 30 60 | 0 10 30 20 0 20 | 0 0 5 0 10 5 0 | * * * 432 * * | 1 0 1 . x3x3x . *c3o ♦ 96 | 48 96 48 | 0 32 24 32 32 0 | 0 0 8 8 0 0 8 | * * * * 270 * | 0 1 1 . . x3x3o *c3o ♦ 30 | 0 30 30 | 0 0 0 20 10 10 | 0 0 0 0 0 5 5 | * * * * * 216 | 0 0 2 ---------------+------+----------------+-------------------------------+------------------------------------+-------------------------+--------- o3x3x3x3o . ♦ 180 | 180 90 180 | 60 60 180 60 0 60 | 15 60 30 0 60 15 0 | 6 0 20 6 0 0 | 72 * * o3x3x3x . *c3o ♦ 480 | 480 480 240 | 160 320 240 160 160 0 | 80 80 80 80 0 0 40 | 16 16 0 0 10 0 | * 27 * . x3x3x3o *c3o ♦ 480 | 240 480 480 | 0 160 240 320 160 160 | 0 0 80 40 80 80 80 | 0 0 0 16 10 16 | * * 27
or . . . . . . | 6480 | 4 2 | 2 8 4 1 | 4 4 8 4 | 8 2 1 4 | 2 4 ------------------+------+------------+---------------------+---------------------+-----------------+------ . x . . . . & | 2 | 12960 * | 1 2 2 0 | 2 3 4 1 | 6 1 1 2 | 2 3 . . x . . . | 2 | * 6480 | 0 4 0 1 | 2 0 4 4 | 4 2 0 4 | 1 4 ------------------+------+------------+---------------------+---------------------+-----------------+------ o3x . . . . & | 3 | 3 0 | 4320 * * * | 2 2 0 0 | 4 1 1 0 | 2 2 . x3x . . . & | 6 | 3 3 | * 8640 * * | 1 0 2 1 | 3 1 0 2 | 1 3 . x . x . . | 4 | 4 0 | * * 6480 * | 0 2 2 0 | 4 0 1 1 | 2 2 . . x . . *c3o | 3 | 0 3 | * * * 2160 | 0 0 0 4 | 0 2 0 4 | 0 4 ------------------+------+------------+---------------------+---------------------+-----------------+------ o3x3x . . . & ♦ 12 | 12 6 | 4 4 0 0 | 2160 * * * | 2 1 0 0 | 1 2 o3x . x . . & ♦ 6 | 9 0 | 2 0 3 0 | * 4320 * * | 2 0 1 0 | 2 1 . x3x3x . . ♦ 24 | 24 12 | 0 8 6 0 | * * 2160 * | 2 0 0 1 | 1 2 . x3x . . *c3o & ♦ 12 | 6 12 | 0 4 0 4 | * * * 2160 | 0 1 0 2 | 0 3 ------------------+------+------------+---------------------+---------------------+-----------------+------ o3x3x3x . . & ♦ 60 | 90 30 | 20 30 30 0 | 5 10 5 0 | 864 * * * | 1 1 o3x3x . . *c3o & ♦ 30 | 30 30 | 10 20 0 10 | 5 0 0 5 | * 432 * * | 0 2 o3x . x3o . ♦ 9 | 18 0 | 6 0 9 0 | 0 6 0 0 | * * 720 * | 2 0 . x3x3x . *c3o ♦ 96 | 96 96 | 0 64 24 32 | 0 0 8 16 | * * * 270 | 0 2 ------------------+------+------------+---------------------+---------------------+-----------------+------ o3x3x3x3o . ♦ 180 | 360 90 | 120 120 180 0 | 30 120 30 0 | 12 0 20 0 | 72 * o3x3x3x . *c3o & ♦ 480 | 720 480 | 160 480 240 160 | 80 80 80 120 | 16 16 0 10 | * 54
© 2004-2024 | top of page |