runcicantitruncated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | gopog |
| Name |
great prismated hexacontitetrapeton, runcicantitruncated hexacross |
| Circumradius | sqrt(15) = 3.872983 |
| Coordinates | (2 sqrt(2), 3/sqrt(2), sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign |
| Face vector | 5760, 20160, 26400, 15600, 3896, 296 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
x3x3x3x3o4o o3o3o3o3o4o | 5760 | 1 1 1 4 | 1 1 4 1 4 4 4 | 1 4 4 4 4 4 4 1 | 4 4 4 1 4 1 1 | 4 1 1 1 ------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x . . . . . | 2 | 2880 * * * | 1 1 4 0 0 0 0 | 1 4 4 4 0 0 0 0 | 4 4 4 1 0 0 0 | 4 1 1 0 . x . . . . | 2 | * 2880 * * | 1 0 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1 . . x . . . | 2 | * * 2880 * | 0 1 0 1 0 4 0 | 1 0 4 0 4 0 4 0 | 4 0 4 0 4 0 1 | 4 0 1 1 . . . x . . | 2 | * * * 11520 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x . . . . | 6 | 3 3 0 0 | 960 * * * * * * | 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 1440 * * * * * | 1 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0 x . . x . . | 4 | 2 0 0 2 | * * 5760 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x3x . . . | 6 | 0 3 3 0 | * * * 960 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1 . x . x . . | 4 | 0 2 0 2 | * * * * 5760 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x3x . . | 6 | 0 0 3 3 | * * * * * 3840 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x3o . | 3 | 0 0 0 3 | * * * * * * 7680 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x3x . . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 240 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0 x3x . x . . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 1920 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 1920 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x3o . ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 3840 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x3x . . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 | * * * * 960 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x3o . ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 3840 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x3o . ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 1920 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o4o ♦ 6 | 0 0 0 12 | 0 0 0 0 0 0 8 | * * * * * * * 960 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x3x3x . . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 | 5 10 10 0 5 0 0 0 | 192 * * * * * * | 2 0 0 0 x3x . x3o . ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 6 | 0 3 0 3 0 3 0 0 | * 1280 * * * * * | 1 1 0 0 x . x3x3o . ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 0 | * * 960 * * * * | 1 0 1 0 x . . x3o4o ♦ 12 | 6 0 0 24 | 0 0 12 0 0 0 16 | 0 0 0 8 0 0 0 2 | * * * 480 * * * | 0 1 1 0 . x3x3x3o . ♦ 60 | 0 30 30 60 | 0 0 0 10 30 20 20 | 0 0 0 0 5 10 5 0 | * * * * 384 * * | 1 0 0 1 . x . x3o4o ♦ 12 | 0 6 0 24 | 0 0 0 0 12 0 16 | 0 0 0 0 0 8 0 2 | * * * * * 480 * | 0 1 0 1 . . x3x3o4o ♦ 48 | 0 0 24 96 | 0 0 0 0 0 32 64 | 0 0 0 0 0 0 16 8 | * * * * * * 120 | 0 0 1 1 ------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x3x3x3o . ♦ 360 | 180 180 180 360 | 60 90 180 60 180 120 120 | 15 60 60 60 30 60 30 0 | 6 20 15 0 6 0 0 | 64 * * * x3x . x3o4o ♦ 36 | 18 18 0 72 | 6 0 36 0 36 0 48 | 0 12 0 24 0 24 0 6 | 0 8 0 3 0 3 0 | * 160 * * x . x3x3o4o ♦ 96 | 48 0 48 192 | 0 24 96 0 0 64 128 | 0 0 32 64 0 0 32 16 | 0 0 16 8 0 0 2 | * * 60 * . x3x3x3o4o ♦ 480 | 0 240 240 960 | 0 0 0 80 480 320 640 | 0 0 0 0 80 320 160 80 | 0 0 0 0 32 40 10 | * * * 12
x3x3x3x3o4/3o o3o3o3o3o4/3o | 5760 | 1 1 1 4 | 1 1 4 1 4 4 4 | 1 4 4 4 4 4 4 1 | 4 4 4 1 4 1 1 | 4 1 1 1 --------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x . . . . . | 2 | 2880 * * * | 1 1 4 0 0 0 0 | 1 4 4 4 0 0 0 0 | 4 4 4 1 0 0 0 | 4 1 1 0 . x . . . . | 2 | * 2880 * * | 1 0 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1 . . x . . . | 2 | * * 2880 * | 0 1 0 1 0 4 0 | 1 0 4 0 4 0 4 0 | 4 0 4 0 4 0 1 | 4 0 1 1 . . . x . . | 2 | * * * 11520 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 --------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x . . . . | 6 | 3 3 0 0 | 960 * * * * * * | 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 1440 * * * * * | 1 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0 x . . x . . | 4 | 2 0 0 2 | * * 5760 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x3x . . . | 6 | 0 3 3 0 | * * * 960 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1 . x . x . . | 4 | 0 2 0 2 | * * * * 5760 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x3x . . | 6 | 0 0 3 3 | * * * * * 3840 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x3o . | 3 | 0 0 0 3 | * * * * * * 7680 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 --------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x3x . . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 240 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0 x3x . x . . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 1920 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 1920 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x3o . ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 3840 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x3x . . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 | * * * * 960 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x3o . ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 3840 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x3o . ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 1920 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o4/3o ♦ 6 | 0 0 0 12 | 0 0 0 0 0 0 8 | * * * * * * * 960 | 0 0 0 1 0 1 1 | 0 1 1 1 --------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x3x3x . . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 | 5 10 10 0 5 0 0 0 | 192 * * * * * * | 2 0 0 0 x3x . x3o . ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 6 | 0 3 0 3 0 3 0 0 | * 1280 * * * * * | 1 1 0 0 x . x3x3o . ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 0 | * * 960 * * * * | 1 0 1 0 x . . x3o4/3o ♦ 12 | 6 0 0 24 | 0 0 12 0 0 0 16 | 0 0 0 8 0 0 0 2 | * * * 480 * * * | 0 1 1 0 . x3x3x3o . ♦ 60 | 0 30 30 60 | 0 0 0 10 30 20 20 | 0 0 0 0 5 10 5 0 | * * * * 384 * * | 1 0 0 1 . x . x3o4/3o ♦ 12 | 0 6 0 24 | 0 0 0 0 12 0 16 | 0 0 0 0 0 8 0 2 | * * * * * 480 * | 0 1 0 1 . . x3x3o4/3o ♦ 48 | 0 0 24 96 | 0 0 0 0 0 32 64 | 0 0 0 0 0 0 16 8 | * * * * * * 120 | 0 0 1 1 --------------+------+----------------------+----------------------------------+--------------------------------------+------------------------------+------------- x3x3x3x3o . ♦ 360 | 180 180 180 360 | 60 90 180 60 180 120 120 | 15 60 60 60 30 60 30 0 | 6 20 15 0 6 0 0 | 64 * * * x3x . x3o4/3o ♦ 36 | 18 18 0 72 | 6 0 36 0 36 0 48 | 0 12 0 24 0 24 0 6 | 0 8 0 3 0 3 0 | * 160 * * x . x3x3o4/3o ♦ 96 | 48 0 48 192 | 0 24 96 0 0 64 128 | 0 0 32 64 0 0 32 16 | 0 0 16 8 0 0 2 | * * 60 * . x3x3x3o4/3o ♦ 480 | 0 240 240 960 | 0 0 0 80 480 320 640 | 0 0 0 0 80 320 160 80 | 0 0 0 0 32 40 10 | * * * 12
o3x3o *b3x3x3x o3o3o *b3o3o3o | 5760 | 4 1 1 1 | 2 2 4 4 4 1 1 1 | 1 2 2 2 2 2 2 4 2 2 1 | 1 1 1 2 2 2 2 2 2 4 | 1 1 1 2 2 ---------------+------+----------------------+---------------------------------------+---------------------------------------------------+-----------------------------------------+---------------- . x . . . . | 2 | 11520 * * * | 1 1 1 1 1 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 . . . x . . | 2 | * 2880 * * | 0 0 4 0 0 1 1 0 | 0 2 0 0 2 0 0 4 4 0 1 | 1 0 0 2 2 0 2 2 0 4 | 1 1 0 2 2 . . . . x . | 2 | * * 2880 * | 0 0 0 4 0 1 0 1 | 0 0 2 0 0 2 0 4 0 4 1 | 0 1 0 2 0 2 2 0 2 4 | 1 0 1 2 2 . . . . . x | 2 | * * * 2880 | 0 0 0 0 4 0 1 1 | 0 0 0 2 0 0 2 0 4 4 1 | 0 0 1 0 2 2 0 2 2 4 | 0 1 1 2 2 ---------------+------+----------------------+---------------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x . . . . | 3 | 3 0 0 0 | 3840 * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x3o . . . | 3 | 3 0 0 0 | * 3840 * * * * * * | 1 0 0 0 1 1 1 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . x . *b3x . . | 6 | 3 3 0 0 | * * 3840 * * * * * | 0 1 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . x . . x . | 4 | 2 0 2 0 | * * * 5760 * * * * | 0 0 1 0 0 1 0 1 0 1 0 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . x . . . x | 4 | 2 0 0 2 | * * * * 5760 * * * | 0 0 0 1 0 0 1 0 1 1 0 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 . . . x3x . | 6 | 0 3 3 0 | * * * * * 960 * * | 0 0 0 0 0 0 0 4 0 0 1 | 0 0 0 2 0 0 2 0 0 4 | 1 0 0 2 2 . . . x . x | 4 | 0 2 0 2 | * * * * * * 1440 * | 0 0 0 0 0 0 0 0 4 0 1 | 0 0 0 0 2 0 0 2 0 4 | 0 1 0 2 2 . . . . x3x | 6 | 0 0 3 3 | * * * * * * * 960 | 0 0 0 0 0 0 0 0 0 4 1 | 0 0 0 0 0 2 0 0 2 4 | 0 0 1 2 2 ---------------+------+----------------------+---------------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x3o . . . ♦ 6 | 12 0 0 0 | 4 4 0 0 0 0 0 0 | 960 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 o3x . *b3x . . ♦ 12 | 12 6 0 0 | 4 0 4 0 0 0 0 0 | * 960 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 o3x . . x . ♦ 6 | 6 0 3 0 | 2 0 0 3 0 0 0 0 | * * 1920 * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 o3x . . . x ♦ 6 | 6 0 0 3 | 2 0 0 0 3 0 0 0 | * * * 1920 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3o *b3x . . ♦ 12 | 12 6 0 0 | 0 4 4 0 0 0 0 0 | * * * * 960 * * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x3o . x . ♦ 6 | 6 0 3 0 | 0 2 0 3 0 0 0 0 | * * * * * 1920 * * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x3o . . x ♦ 6 | 6 0 0 3 | 0 2 0 0 3 0 0 0 | * * * * * * 1920 * * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . x . *b3x3x . ♦ 24 | 12 12 12 0 | 0 0 4 6 0 4 0 0 | * * * * * * * 960 * * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . x . *b3x . x ♦ 12 | 6 6 0 6 | 0 0 2 0 3 0 3 0 | * * * * * * * * 1920 * * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . x . . x3x ♦ 12 | 6 0 6 6 | 0 0 0 3 3 0 0 2 | * * * * * * * * * 1920 * | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 . . . x3x3x ♦ 24 | 0 12 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * * * 240 | 0 0 0 0 0 0 0 0 0 4 | 0 0 0 2 2 ---------------+------+----------------------+---------------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x3o *b3x . . ♦ 48 | 96 24 0 0 | 32 32 32 0 0 0 0 0 | 8 8 0 0 8 0 0 0 0 0 0 | 120 * * * * * * * * * | 1 1 0 0 0 o3x3o . x . ♦ 12 | 24 0 6 0 | 8 8 0 12 0 0 0 0 | 2 0 4 0 0 4 0 0 0 0 0 | * 480 * * * * * * * * | 1 0 1 0 0 o3x3o . . x ♦ 12 | 24 0 0 6 | 8 8 0 0 12 0 0 0 | 2 0 0 4 0 0 4 0 0 0 0 | * * 480 * * * * * * * | 0 1 1 0 0 o3x . *b3x3x . ♦ 60 | 60 30 30 0 | 20 0 20 30 0 10 0 0 | 0 5 10 0 0 0 0 5 0 0 0 | * * * 192 * * * * * * | 1 0 0 1 0 o3x . *b3x . x ♦ 24 | 24 12 0 12 | 8 0 8 0 12 0 6 0 | 0 2 0 4 0 0 0 0 4 0 0 | * * * * 480 * * * * * | 0 1 0 1 0 o3x . . x3x ♦ 18 | 18 0 9 9 | 6 0 0 9 9 0 0 3 | 0 0 3 3 0 0 0 0 0 3 0 | * * * * * 640 * * * * | 0 0 1 1 0 . x3o *b3x3x . ♦ 60 | 60 30 30 0 | 0 20 20 30 0 10 0 0 | 0 0 0 0 5 10 0 5 0 0 0 | * * * * * * 192 * * * | 1 0 0 0 1 . x3o *b3x . x ♦ 24 | 24 12 0 12 | 0 8 8 0 12 0 6 0 | 0 0 0 0 2 0 4 0 4 0 0 | * * * * * * * 480 * * | 0 1 0 0 1 . x3o . x3x ♦ 18 | 18 0 9 9 | 0 6 0 9 9 0 0 3 | 0 0 0 0 0 3 3 0 0 3 0 | * * * * * * * * 640 * | 0 0 1 0 1 . x . *b3x3x3x ♦ 120 | 60 60 60 60 | 0 0 20 30 30 20 30 20 | 0 0 0 0 0 0 0 5 10 10 5 | * * * * * * * * * 192 | 0 0 0 1 1 ---------------+------+----------------------+---------------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x3o *b3x3x . ♦ 480 | 960 240 240 0 | 320 320 320 480 0 80 0 0 | 80 80 160 0 80 160 0 80 0 0 0 | 10 40 0 16 0 0 16 0 0 0 | 12 * * * * o3x3o *b3x . x ♦ 96 | 192 48 0 48 | 64 64 64 0 96 0 24 0 | 16 16 0 32 16 0 32 0 32 0 0 | 2 0 8 0 8 0 0 8 0 0 | * 60 * * * o3x3o . x3x ♦ 36 | 72 0 18 18 | 24 24 0 36 36 0 0 6 | 6 0 12 12 0 12 12 0 0 12 0 | 0 3 3 0 0 4 0 0 4 0 | * * 160 * * o3x . *b3x3x3x ♦ 360 | 360 180 180 180 | 120 0 120 180 180 60 90 60 | 0 30 60 60 0 0 0 30 60 60 15 | 0 0 0 6 15 20 0 0 0 6 | * * * 32 * . x3o *b3x3x3x ♦ 360 | 360 180 180 180 | 0 120 120 180 180 60 90 60 | 0 0 0 0 30 60 60 30 60 60 15 | 0 0 0 0 0 0 6 15 20 6 | * * * * 32
© 2004-2024 | top of page |