bicantitruncated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | gaborg |
| Name |
great birhombihexacontitetrapeton, bicantitruncated hexacross |
| Circumradius | sqrt(23/2) = 3.391165 |
| Coordinates | (3/sqrt(2), 3/sqrt(2), sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign |
| Face vector | 2880, 10080, 13440, 8400, 2396, 236 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3x3x3o4o . . . . . . | 2880 | 2 1 4 | 1 2 8 4 4 | 1 4 8 8 4 1 | 4 4 8 2 1 | 4 1 2 ------------+------+----------------+------------------------+---------------------------+---------------------+---------- . x . . . . | 2 | 2880 * * | 1 1 4 0 0 | 1 4 4 4 0 0 | 4 4 4 1 0 | 4 1 1 . . x . . . | 2 | * 1440 * | 0 2 0 4 0 | 1 0 8 0 4 0 | 4 0 8 0 1 | 4 0 2 . . . x . . | 2 | * * 5760 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x . . . . | 3 | 3 0 0 | 960 * * * * | 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0 . x3x . . . | 6 | 3 3 0 | * 960 * * * | 1 0 4 0 0 0 | 4 0 4 0 0 | 4 0 1 . x . x . . | 4 | 2 0 2 | * * 5760 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x3x . . | 6 | 0 3 3 | * * * 1920 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o . | 3 | 0 0 3 | * * * * 3840 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x3x . . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | 240 * * * * * | 4 0 0 0 0 | 4 0 0 o3x . x . . ♦ 6 | 6 0 3 | 2 0 3 0 0 | * 1920 * * * * | 1 2 0 0 0 | 2 1 0 . x3x3x . . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * 960 * * * | 1 0 2 0 0 | 2 0 1 . x . x3o . ♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * 3840 * * | 0 1 1 1 0 | 1 1 1 . . x3x3o . ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 960 * | 0 0 2 0 1 | 1 0 2 . . . x3o4o ♦ 6 | 0 0 12 | 0 0 0 0 8 | * * * * * 480 | 0 0 0 2 1 | 0 1 2 ------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x3x3x . . ♦ 60 | 60 30 30 | 20 20 30 10 0 | 5 10 5 0 0 0 | 192 * * * * | 2 0 0 o3x . x3o . ♦ 9 | 9 0 9 | 3 0 9 0 3 | 0 3 0 3 0 0 | * 1280 * * * | 1 1 0 . x3x3x3o . ♦ 60 | 30 30 60 | 0 10 30 20 20 | 0 0 5 10 5 0 | * * 384 * * | 1 0 1 . x . x3o4o ♦ 12 | 6 0 24 | 0 0 12 0 16 | 0 0 0 8 0 2 | * * * 480 * | 0 1 1 . . x3x3o4o ♦ 48 | 0 24 96 | 0 0 0 32 64 | 0 0 0 0 16 8 | * * * * 60 | 0 0 2 ------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x3x3x3o . ♦ 180 | 180 90 180 | 60 60 180 60 60 | 15 60 30 60 15 0 | 6 20 6 0 0 | 64 * * o3x . x3o4o ♦ 18 | 18 0 36 | 6 0 36 0 24 | 0 12 0 24 0 3 | 0 8 0 3 0 | * 160 * . x3x3x3o4o ♦ 480 | 240 240 960 | 0 80 480 320 640 | 0 0 80 320 160 80 | 0 0 32 40 10 | * * 12
o3x3x3x3o4/3o . . . . . . | 2880 | 2 1 4 | 1 2 8 4 4 | 1 4 8 8 4 1 | 4 4 8 2 1 | 4 1 2 --------------+------+----------------+------------------------+---------------------------+---------------------+---------- . x . . . . | 2 | 2880 * * | 1 1 4 0 0 | 1 4 4 4 0 0 | 4 4 4 1 0 | 4 1 1 . . x . . . | 2 | * 1440 * | 0 2 0 4 0 | 1 0 8 0 4 0 | 4 0 8 0 1 | 4 0 2 . . . x . . | 2 | * * 5760 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 --------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x . . . . | 3 | 3 0 0 | 960 * * * * | 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0 . x3x . . . | 6 | 3 3 0 | * 960 * * * | 1 0 4 0 0 0 | 4 0 4 0 0 | 4 0 1 . x . x . . | 4 | 2 0 2 | * * 5760 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x3x . . | 6 | 0 3 3 | * * * 1920 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o . | 3 | 0 0 3 | * * * * 3840 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 --------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x3x . . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | 240 * * * * * | 4 0 0 0 0 | 4 0 0 o3x . x . . ♦ 6 | 6 0 3 | 2 0 3 0 0 | * 1920 * * * * | 1 2 0 0 0 | 2 1 0 . x3x3x . . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * 960 * * * | 1 0 2 0 0 | 2 0 1 . x . x3o . ♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * 3840 * * | 0 1 1 1 0 | 1 1 1 . . x3x3o . ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 960 * | 0 0 2 0 1 | 1 0 2 . . . x3o4/3o ♦ 6 | 0 0 12 | 0 0 0 0 8 | * * * * * 480 | 0 0 0 2 1 | 0 1 2 --------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x3x3x . . ♦ 60 | 60 30 30 | 20 20 30 10 0 | 5 10 5 0 0 0 | 192 * * * * | 2 0 0 o3x . x3o . ♦ 9 | 9 0 9 | 3 0 9 0 3 | 0 3 0 3 0 0 | * 1280 * * * | 1 1 0 . x3x3x3o . ♦ 60 | 30 30 60 | 0 10 30 20 20 | 0 0 5 10 5 0 | * * 384 * * | 1 0 1 . x . x3o4/3o ♦ 12 | 6 0 24 | 0 0 12 0 16 | 0 0 0 8 0 2 | * * * 480 * | 0 1 1 . . x3x3o4/3o ♦ 48 | 0 24 96 | 0 0 0 32 64 | 0 0 0 0 16 8 | * * * * 60 | 0 0 2 --------------+------+----------------+------------------------+---------------------------+---------------------+---------- o3x3x3x3o . ♦ 180 | 180 90 180 | 60 60 180 60 60 | 15 60 30 60 15 0 | 6 20 6 0 0 | 64 * * o3x . x3o4/3o ♦ 18 | 18 0 36 | 6 0 36 0 24 | 0 12 0 24 0 3 | 0 8 0 3 0 | * 160 * . x3x3x3o4/3o ♦ 480 | 240 240 960 | 0 80 480 320 640 | 0 0 80 320 160 80 | 0 0 32 40 10 | * * 12
o3x3o *b3x3x3o . . . . . . | 2880 | 4 1 2 | 2 2 4 8 2 1 | 1 2 4 2 4 8 4 1 | 1 2 4 2 4 2 4 | 2 1 2 2 ---------------+------+----------------+-----------------------------+------------------------------------+----------------------------+------------- . x . . . . | 2 | 5760 * * | 1 1 1 2 0 0 | 1 1 2 1 2 2 1 0 | 1 2 2 1 2 1 1 | 2 1 1 1 . . . x . . | 2 | * 1440 * | 0 0 4 0 2 0 | 0 2 0 2 0 8 0 1 | 1 0 4 0 4 0 4 | 2 0 2 2 . . . . x . | 2 | * * 2880 | 0 0 0 4 1 1 | 0 0 2 0 2 4 4 1 | 0 1 2 2 2 2 4 | 1 1 2 2 ---------------+------+----------------+-----------------------------+------------------------------------+----------------------------+------------- o3x . . . . | 3 | 3 0 0 | 1920 * * * * * | 1 1 2 0 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x3o . . . | 3 | 3 0 0 | * 1920 * * * * | 1 0 0 1 2 0 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . x . *b3x . . | 6 | 3 3 0 | * * 1920 * * * | 0 1 0 1 0 2 0 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . x . . x . | 4 | 2 0 2 | * * * 5760 * * | 0 0 1 0 1 1 1 0 | 0 1 1 1 1 1 1 | 1 1 1 1 . . . x3x . | 6 | 0 3 3 | * * * * 960 * | 0 0 0 0 0 4 0 1 | 0 0 2 0 2 0 4 | 1 0 2 2 . . . . x3o | 3 | 0 0 3 | * * * * * 960 | 0 0 0 0 0 0 4 1 | 0 0 0 2 0 2 4 | 0 1 2 2 ---------------+------+----------------+-----------------------------+------------------------------------+----------------------------+------------- o3x3o . . . ♦ 6 | 12 0 0 | 4 4 0 0 0 0 | 480 * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 o3x . *b3x . . ♦ 12 | 12 6 0 | 4 0 4 0 0 0 | * 480 * * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 o3x . . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * * 1920 * * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3o *b3x . . ♦ 12 | 12 6 0 | 0 4 4 0 0 0 | * * * 480 * * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x3o . x . ♦ 6 | 6 0 3 | 0 2 0 3 0 0 | * * * * 1920 * * * | 0 1 0 0 1 1 0 | 1 1 0 1 . x . *b3x3x . ♦ 24 | 12 12 12 | 0 0 4 6 4 0 | * * * * * 960 * * | 0 0 1 0 1 0 1 | 1 0 1 1 . x . . x3o ♦ 6 | 3 0 6 | 0 0 0 3 0 2 | * * * * * * 1920 * | 0 0 0 1 0 1 1 | 0 1 1 1 . . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * * * 240 | 0 0 0 0 0 0 4 | 0 0 1 1 ---------------+------+----------------+-----------------------------+------------------------------------+----------------------------+------------- o3x3o *b3x . . ♦ 48 | 96 24 0 | 32 32 32 0 0 0 | 8 8 0 8 0 0 0 0 | 60 * * * * * * | 2 0 0 0 o3x3o . x . ♦ 12 | 24 0 6 | 8 8 0 12 0 0 | 2 0 4 0 4 0 0 0 | * 480 * * * * * | 1 1 0 0 o3x . *b3x3x . ♦ 60 | 60 30 30 | 20 0 20 30 10 0 | 0 5 10 0 0 5 0 0 | * * 192 * * * * | 1 0 1 0 o3x . . x3o ♦ 9 | 9 0 9 | 3 0 0 9 0 3 | 0 0 3 0 0 0 3 0 | * * * 640 * * * | 0 1 1 0 . x3o *b3x3x . ♦ 60 | 60 30 30 | 0 20 20 30 10 0 | 0 0 0 5 10 5 0 0 | * * * * 192 * * | 1 0 0 1 . x3o . x3o ♦ 9 | 9 0 9 | 0 3 0 9 0 3 | 0 0 0 0 3 0 3 0 | * * * * * 640 * | 0 1 0 1 . x . *b3x3x3o ♦ 60 | 30 30 60 | 0 0 10 30 20 20 | 0 0 0 0 0 5 10 5 | * * * * * * 192 | 0 0 1 1 ---------------+------+----------------+-----------------------------+------------------------------------+----------------------------+------------- o3x3o *b3x3x . ♦ 480 | 960 240 240 | 320 320 320 480 80 0 | 80 80 160 80 160 80 0 0 | 10 40 16 0 16 0 0 | 12 * * * o3x3o . x3o ♦ 18 | 36 0 18 | 12 12 0 36 0 6 | 3 0 12 0 12 0 12 0 | 0 3 0 4 0 4 0 | * 160 * * o3x . *b3x3x3o ♦ 180 | 180 90 180 | 60 0 60 180 60 60 | 0 15 60 0 0 30 60 15 | 0 0 6 20 0 0 6 | * * 32 * . x3o *b3x3x3o ♦ 180 | 180 90 180 | 0 60 60 180 60 60 | 0 0 0 15 60 30 60 15 | 0 0 0 0 6 20 6 | * * * 32
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