penticantitruncated heptapeton
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | togral (old: gotral) |
| Name |
terigreatorhombated heptapeton, penticantitruncated heptapeton |
| Circumradius | sqrt(40/7) = 2.390457 |
| Face vector | 840, 3360, 5390, 4096, 1351, 126 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
x3x3x3o3o3x . . . . . . | 840 | 1 1 3 3 | 1 3 3 3 3 3 6 3 | 3 3 3 6 3 3 6 3 1 3 3 1 | 3 6 3 1 3 3 1 1 3 3 1 1 | 1 3 3 1 1 1 ------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+---------------- x . . . . . | 2 | 420 * * * | 1 3 3 0 0 0 0 0 | 3 3 3 6 3 0 0 0 0 0 0 0 | 3 6 3 1 3 3 1 0 0 0 0 0 | 1 3 3 1 1 0 . x . . . . | 2 | * 420 * * | 1 0 0 3 3 0 0 0 | 3 3 0 0 0 3 6 3 0 0 0 0 | 3 6 3 0 0 0 0 1 3 3 1 0 | 1 3 3 1 0 1 . . x . . . | 2 | * * 1260 * | 0 1 0 1 0 2 2 0 | 1 0 2 2 0 2 2 0 1 2 1 0 | 2 2 0 1 2 1 0 1 2 1 0 1 | 1 2 1 0 1 1 . . . . . x | 2 | * * * 1260 | 0 0 1 0 1 0 2 2 | 0 1 0 2 2 0 2 2 0 1 2 1 | 0 2 2 0 1 2 1 0 1 2 1 1 | 0 1 2 1 1 1 ------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+---------------- x3x . . . . | 6 | 3 3 0 0 | 140 * * * * * * * | 3 3 0 0 0 0 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 630 * * * * * * | 1 0 2 2 0 0 0 0 0 0 0 0 | 2 2 0 1 2 1 0 0 0 0 0 0 | 1 2 1 0 1 0 x . . . . x | 4 | 2 0 0 2 | * * 630 * * * * * | 0 1 0 2 2 0 0 0 0 0 0 0 | 0 2 2 0 1 2 1 0 0 0 0 0 | 0 1 2 1 1 0 . x3x . . . | 6 | 0 3 3 0 | * * * 420 * * * * | 1 0 0 0 0 2 2 0 0 0 0 0 | 2 2 0 0 0 0 0 1 2 1 0 0 | 1 2 1 0 0 1 . x . . . x | 4 | 0 2 0 2 | * * * * 630 * * * | 0 1 0 0 0 0 2 2 0 0 0 0 | 0 2 2 0 0 0 0 0 1 2 1 0 | 0 1 2 1 0 1 . . x3o . . | 3 | 0 0 3 0 | * * * * * 840 * * | 0 0 1 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 . . x . . x | 4 | 0 0 2 2 | * * * * * * 1260 * | 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 . . . . o3x | 3 | 0 0 0 3 | * * * * * * * 840 | 0 0 0 0 1 0 0 1 0 0 1 1 | 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+---------------- x3x3x . . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 105 * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x3x . . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 210 * * * * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 x . x3o . . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 420 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 x . x . . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 630 * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0 x . . . o3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 420 * * * * * * * | 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . x3x3o . . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 210 * * * * * * | 1 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3x . . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 420 * * * * * | 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 420 * * * * | 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 . . x3o3o . ♦ 4 | 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * * 210 * * * | 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 . . x3o . x ♦ 6 | 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * * 420 * * | 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 . . x . o3x ♦ 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * * 420 * | 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . . . o3o3x ♦ 4 | 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 210 | 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 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 0 0 0 | 42 * * * * * * * * * * * | 1 1 0 0 0 0 x3x3x . . x ♦ 48 | 24 24 24 24 | 8 12 12 8 12 0 12 0 | 2 4 0 6 0 0 4 0 0 0 0 0 | * 105 * * * * * * * * * * | 0 1 1 0 0 0 x3x . . o3x ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 6 | 0 3 0 0 3 0 0 3 0 0 0 0 | * * 140 * * * * * * * * * | 0 0 1 1 0 0 x . x3o3o . ♦ 8 | 4 0 12 0 | 0 6 0 0 0 8 0 0 | 0 0 4 0 0 0 0 0 2 0 0 0 | * * * 105 * * * * * * * * | 1 0 0 0 1 0 x . x3o . x ♦ 12 | 6 0 12 6 | 0 6 3 0 0 4 6 0 | 0 0 2 3 0 0 0 0 0 2 0 0 | * * * * 210 * * * * * * * | 0 1 0 0 1 0 x . x . o3x ♦ 12 | 6 0 6 12 | 0 3 6 0 0 0 6 4 | 0 0 0 3 2 0 0 0 0 0 2 0 | * * * * * 210 * * * * * * | 0 0 1 0 1 0 x . . o3o3x ♦ 8 | 4 0 0 12 | 0 0 6 0 0 0 0 8 | 0 0 0 0 4 0 0 0 0 0 0 2 | * * * * * * 105 * * * * * | 0 0 0 1 1 0 . x3x3o3o . ♦ 20 | 0 10 30 0 | 0 0 0 10 0 20 0 0 | 0 0 0 0 0 5 0 0 5 0 0 0 | * * * * * * * 42 * * * * | 1 0 0 0 0 1 . x3x3o . x ♦ 24 | 0 12 24 12 | 0 0 0 8 6 8 12 0 | 0 0 0 0 0 2 4 0 0 4 0 0 | * * * * * * * * 105 * * * | 0 1 0 0 0 1 . x3x . o3x ♦ 18 | 0 9 9 18 | 0 0 0 3 9 0 9 6 | 0 0 0 0 0 0 3 3 0 0 3 0 | * * * * * * * * * 140 * * | 0 0 1 0 0 1 . x . o3o3x ♦ 8 | 0 4 0 12 | 0 0 0 0 6 0 0 8 | 0 0 0 0 0 0 0 4 0 0 0 2 | * * * * * * * * * * 105 * | 0 0 0 1 0 1 . . x3o3o3x ♦ 20 | 0 0 30 30 | 0 0 0 0 0 20 30 20 | 0 0 0 0 0 0 0 0 5 10 10 5 | * * * * * * * * * * * 42 | 0 0 0 0 1 1 ------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+---------------- x3x3x3o3o . ♦ 120 | 60 60 180 0 | 20 90 0 60 0 120 0 0 | 15 0 60 0 0 30 0 0 30 0 0 0 | 6 0 0 15 0 0 0 6 0 0 0 0 | 7 * * * * * x3x3x3o . x ♦ 120 | 60 60 120 60 | 20 60 30 40 30 40 60 0 | 10 10 20 30 0 10 20 0 0 20 0 0 | 2 5 0 0 10 0 0 0 5 0 0 0 | * 21 * * * * x3x3x . o3x ♦ 72 | 36 36 36 72 | 12 18 36 12 36 0 36 24 | 3 12 0 18 12 0 12 12 0 0 12 0 | 0 3 4 0 0 6 0 0 0 4 0 0 | * * 35 * * * x3x . o3o3x ♦ 24 | 12 12 0 36 | 4 0 18 0 18 0 0 24 | 0 6 0 0 12 0 0 12 0 0 0 6 | 0 0 4 0 0 0 3 0 0 0 3 0 | * * * 35 * * x . x3o3o3x ♦ 40 | 20 0 60 60 | 0 30 30 0 0 40 60 40 | 0 0 20 30 20 0 0 0 10 20 20 10 | 0 0 0 5 10 10 5 0 0 0 0 2 | * * * * 21 * . x3x3o3o3x ♦ 120 | 0 60 180 180 | 0 0 0 60 90 120 180 120 | 0 0 0 0 0 30 60 60 30 60 60 30 | 0 0 0 0 0 0 0 6 15 20 15 6 | * * * * * 7
© 2004-2024 | top of page |