biruncinated hexeract,
biruncinated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | sobpoxog |
| Name |
small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross |
| Circumradius | sqrt(11/2) = 2.345208 |
| Coordinates | (sqrt(2), sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Face vector | 1920, 11520, 22560, 17760, 5276, 476 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3o3o3x4o . . . . . . | 1920 | 6 6 | 3 6 24 6 3 | 3 12 2 12 12 12 2 3 | 1 6 6 6 4 6 6 1 | 2 3 3 2 ------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- . x . . . . | 2 | 5760 * | 1 2 4 0 0 | 2 4 1 4 2 2 0 0 | 1 4 2 2 2 2 1 0 | 2 2 1 1 . . . . x . | 2 | * 5760 | 0 0 4 2 1 | 0 2 0 2 4 4 1 2 | 0 1 2 2 2 2 4 1 | 1 1 2 2 ------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x . . . . | 3 | 3 0 | 1920 * * * * | 2 4 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 | 2 2 1 0 . x3o . . . | 3 | 3 0 | * 3840 * * * | 1 0 1 2 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . . x . | 4 | 2 2 | * * 11520 * * | 0 1 0 1 1 1 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 3840 * | 0 0 0 0 2 0 1 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x4o | 4 | 0 4 | * * * * 1440 | 0 0 0 0 0 4 0 2 | 0 0 0 2 0 2 4 1 | 0 1 2 2 ------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 0 | 960 * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 o3x . . x . ♦ 6 | 6 3 | 2 0 3 0 0 | * 3840 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3o3o . . ♦ 4 | 6 0 | 0 4 0 0 0 | * * 960 * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3o . x . ♦ 6 | 6 3 | 0 2 3 0 0 | * * * 3840 * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * * 3840 * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x4o ♦ 8 | 4 8 | 0 0 4 0 2 | * * * * * 2880 * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . o3o3x . ♦ 4 | 0 6 | 0 0 0 4 0 | * * * * * * 960 * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . . o3x4o ♦ 12 | 0 24 | 0 0 0 8 6 | * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 1 2 ------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x3o3o . . ♦ 10 | 30 0 | 10 20 0 0 0 | 5 0 5 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 o3x3o . x . ♦ 12 | 24 6 | 8 8 12 0 0 | 2 4 0 4 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 0 3 0 0 0 | * * 1280 * * * * * | 1 0 1 0 o3x . . x4o ♦ 12 | 12 12 | 4 0 12 0 3 | 0 4 0 0 0 3 0 0 | * * * 960 * * * * | 0 1 1 0 . x3o3o3x . ♦ 20 | 30 30 | 0 20 30 20 0 | 0 0 5 10 10 0 5 0 | * * * * 384 * * * | 1 0 0 1 . x3o . x4o ♦ 12 | 12 12 | 0 4 12 0 3 | 0 0 0 4 0 3 0 0 | * * * * * 960 * * | 0 1 0 1 . x . o3x4o ♦ 24 | 12 48 | 0 0 24 16 12 | 0 0 0 0 8 6 0 2 | * * * * * * 480 * | 0 0 1 1 . . o3o3x4o ♦ 32 | 0 96 | 0 0 0 64 24 | 0 0 0 0 0 0 16 8 | * * * * * * * 60 | 0 0 0 2 ------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x3o3o3x . ♦ 60 | 180 90 | 60 120 180 60 0 | 30 60 30 60 60 0 15 0 | 6 15 20 0 6 0 0 0 | 64 * * * o3x3o . x4o ♦ 24 | 48 24 | 16 16 48 0 6 | 4 16 0 16 0 12 0 0 | 0 4 0 4 0 4 0 0 | * 240 * * o3x . o3x4o ♦ 36 | 36 72 | 12 0 72 24 18 | 0 24 0 0 24 18 0 3 | 0 0 8 6 0 0 3 0 | * * 160 * . x3o3o3x4o ♦ 320 | 480 960 | 0 320 960 640 240 | 0 0 80 320 320 240 160 80 | 0 0 0 0 32 80 40 10 | * * * 12
o3x3o3o3x4/3o . . . . . . | 1920 | 6 6 | 3 6 24 6 3 | 3 12 2 12 12 12 2 3 | 1 6 6 6 4 6 6 1 | 2 3 3 2 --------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- . x . . . . | 2 | 5760 * | 1 2 4 0 0 | 2 4 1 4 2 2 0 0 | 1 4 2 2 2 2 1 0 | 2 2 1 1 . . . . x . | 2 | * 5760 | 0 0 4 2 1 | 0 2 0 2 4 4 1 2 | 0 1 2 2 2 2 4 1 | 1 1 2 2 --------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x . . . . | 3 | 3 0 | 1920 * * * * | 2 4 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 | 2 2 1 0 . x3o . . . | 3 | 3 0 | * 3840 * * * | 1 0 1 2 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . . x . | 4 | 2 2 | * * 11520 * * | 0 1 0 1 1 1 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 3840 * | 0 0 0 0 2 0 1 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x4/3o | 4 | 0 4 | * * * * 1440 | 0 0 0 0 0 4 0 2 | 0 0 0 2 0 2 4 1 | 0 1 2 2 --------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 0 | 960 * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 o3x . . x . ♦ 6 | 6 3 | 2 0 3 0 0 | * 3840 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3o3o . . ♦ 4 | 6 0 | 0 4 0 0 0 | * * 960 * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3o . x . ♦ 6 | 6 3 | 0 2 3 0 0 | * * * 3840 * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * * 3840 * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x4/3o ♦ 8 | 4 8 | 0 0 4 0 2 | * * * * * 2880 * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . o3o3x . ♦ 4 | 0 6 | 0 0 0 4 0 | * * * * * * 960 * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . . o3x4/3o ♦ 12 | 0 24 | 0 0 0 8 6 | * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 1 2 --------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x3o3o . . ♦ 10 | 30 0 | 10 20 0 0 0 | 5 0 5 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 o3x3o . x . ♦ 12 | 24 6 | 8 8 12 0 0 | 2 4 0 4 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 0 3 0 0 0 | * * 1280 * * * * * | 1 0 1 0 o3x . . x4/3o ♦ 12 | 12 12 | 4 0 12 0 3 | 0 4 0 0 0 3 0 0 | * * * 960 * * * * | 0 1 1 0 . x3o3o3x . ♦ 20 | 30 30 | 0 20 30 20 0 | 0 0 5 10 10 0 5 0 | * * * * 384 * * * | 1 0 0 1 . x3o . x4/3o ♦ 12 | 12 12 | 0 4 12 0 3 | 0 0 0 4 0 3 0 0 | * * * * * 960 * * | 0 1 0 1 . x . o3x4/3o ♦ 24 | 12 48 | 0 0 24 16 12 | 0 0 0 0 8 6 0 2 | * * * * * * 480 * | 0 0 1 1 . . o3o3x4/3o ♦ 32 | 0 96 | 0 0 0 64 24 | 0 0 0 0 0 0 16 8 | * * * * * * * 60 | 0 0 0 2 --------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+-------------- o3x3o3o3x . ♦ 60 | 180 90 | 60 120 180 60 0 | 30 60 30 60 60 0 15 0 | 6 15 20 0 6 0 0 0 | 64 * * * o3x3o . x4/3o ♦ 24 | 48 24 | 16 16 48 0 6 | 4 16 0 16 0 12 0 0 | 0 4 0 4 0 4 0 0 | * 240 * * o3x . o3x4/3o ♦ 36 | 36 72 | 12 0 72 24 18 | 0 24 0 0 24 18 0 3 | 0 0 8 6 0 0 3 0 | * * 160 * . x3o3o3x4/3o ♦ 320 | 480 960 | 0 320 960 640 240 | 0 0 80 320 320 240 160 80 | 0 0 0 0 32 80 40 10 | * * * 12
x3o3x *b3o3x3o . . . . . . | 1920 | 3 3 6 | 3 3 12 3 12 6 3 | 3 1 6 12 6 6 1 6 2 6 6 3 | 1 6 2 3 6 6 3 2 3 1 3 | 2 3 1 3 1 ---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------- x . . . . . | 2 | 2880 * * | 2 1 4 0 0 0 0 | 2 1 4 4 2 2 0 0 0 0 0 0 | 1 4 2 2 2 2 1 0 0 0 0 | 2 2 1 1 0 . . x . . . | 2 | * 2880 * | 0 1 0 2 4 0 0 | 2 0 0 4 0 0 1 4 0 2 2 0 | 1 4 0 0 2 2 0 2 2 0 1 | 2 2 0 1 1 . . . . x . | 2 | * * 5760 | 0 0 2 0 2 2 1 | 0 0 1 2 2 2 0 1 1 2 2 2 | 0 1 1 1 2 2 2 1 1 1 2 | 1 1 1 2 1 ---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------- x3o . . . . | 3 | 3 0 0 | 1920 * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0 x . x . . . | 4 | 2 2 0 | * 1440 * * * * * | 2 0 0 4 0 0 0 0 0 0 0 0 | 1 4 0 0 2 2 0 0 0 0 0 | 2 2 0 1 0 x . . . x . | 4 | 2 0 2 | * * 5760 * * * * | 0 0 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 . o3x . . . | 3 | 0 3 0 | * * * 1920 * * * | 1 0 0 0 0 0 1 2 0 0 0 0 | 1 2 0 0 0 0 0 2 1 0 0 | 2 1 0 0 1 . . x . x . | 4 | 0 2 2 | * * * * 5760 * * | 0 0 0 1 0 0 0 1 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . o3x . | 3 | 0 0 3 | * * * * * 3840 * | 0 0 0 0 1 0 0 0 1 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x3o | 3 | 0 0 3 | * * * * * * 1920 | 0 0 0 0 0 2 0 0 0 0 2 2 | 0 0 0 1 0 2 2 0 1 1 2 | 0 1 1 2 1 ---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------- x3o3x . . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 480 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x3o . *b3o . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 0 | * 480 * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * * 1920 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 0 | * * * 2880 * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . o3x . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 0 | * * * * 1920 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 0 0 2 | * * * * * 1920 * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . o3x *b3o . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 0 | * * * * * * 480 * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . o3x . x . ♦ 6 | 0 6 3 | 0 0 0 2 3 0 0 | * * * * * * * 1920 * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . o . *b3o3x . ♦ 4 | 0 0 6 | 0 0 0 0 0 4 0 | * * * * * * * * 960 * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . . x o3x . ♦ 6 | 0 3 6 | 0 0 0 0 3 2 0 | * * * * * * * * * 1920 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x3o ♦ 6 | 0 3 6 | 0 0 0 0 3 0 2 | * * * * * * * * * * 1920 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x3o ♦ 6 | 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * * * * * * 960 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------- x3o3x *b3o . . ♦ 32 | 48 48 0 | 32 24 0 32 0 0 0 | 8 8 0 0 0 0 8 0 0 0 0 0 | 60 * * * * * * * * * * | 2 0 0 0 0 x3o3x . x . ♦ 24 | 24 24 12 | 8 12 12 8 12 0 0 | 2 0 4 6 0 0 0 4 0 0 0 0 | * 480 * * * * * * * * * | 1 1 0 0 0 x3o . *b3o3x . ♦ 20 | 30 0 30 | 20 0 30 0 0 20 0 | 0 5 10 0 10 0 0 0 5 0 0 0 | * * 192 * * * * * * * * | 1 0 1 0 0 x3o . . x3o ♦ 9 | 9 0 9 | 3 0 9 0 0 0 3 | 0 0 3 0 0 3 0 0 0 0 0 0 | * * * 640 * * * * * * * | 0 1 1 0 0 x . x o3x . ♦ 12 | 6 6 12 | 0 3 6 0 6 4 0 | 0 0 0 3 2 0 0 0 0 2 0 0 | * * * * 960 * * * * * * | 1 0 0 1 0 x . x . x3o ♦ 12 | 6 6 12 | 0 3 6 0 6 0 4 | 0 0 0 3 0 2 0 0 0 0 2 0 | * * * * * 960 * * * * * | 0 1 0 1 0 x . . o3x3o ♦ 12 | 6 0 24 | 0 0 12 0 0 8 8 | 0 0 0 0 4 4 0 0 0 0 0 2 | * * * * * * 480 * * * * | 0 0 1 1 0 . o3x *b3o3x . ♦ 20 | 0 30 30 | 0 0 0 20 30 20 0 | 0 0 0 0 0 0 5 10 5 10 0 0 | * * * * * * * 192 * * * | 1 0 0 0 1 . o3x . x3o ♦ 9 | 0 9 9 | 0 0 0 3 9 0 3 | 0 0 0 0 0 0 0 3 0 0 3 0 | * * * * * * * * 640 * * | 0 1 0 0 1 . o . *b3o3x3o ♦ 10 | 0 0 30 | 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 5 0 0 5 | * * * * * * * * * 192 * | 0 0 1 0 1 . . x o3x3o ♦ 12 | 0 6 24 | 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * * 480 | 0 0 0 1 1 ---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------- x3o3x *b3o3x . ♦ 320 | 480 480 480 | 320 240 480 320 480 320 0 | 80 80 160 240 160 0 80 160 80 160 0 0 | 10 40 16 0 80 0 0 16 0 0 0 | 12 * * * * x3o3x . x3o ♦ 36 | 36 36 36 | 12 18 36 12 36 0 12 | 3 0 12 18 0 12 0 12 0 0 12 0 | 0 3 0 4 0 6 0 0 4 0 0 | * 160 * * * x3o . *b3o3x3o ♦ 60 | 90 0 180 | 60 0 180 0 0 120 60 | 0 15 60 0 60 60 0 0 30 0 0 30 | 0 0 6 20 0 0 15 0 0 6 0 | * * 32 * * x . x o3x3o ♦ 24 | 12 12 48 | 0 6 24 0 24 16 16 | 0 0 0 12 8 8 0 0 0 8 8 4 | 0 0 0 0 4 4 2 0 0 0 2 | * * * 240 * . o3x *b3o3x3o ♦ 60 | 0 90 180 | 0 0 0 60 180 120 60 | 0 0 0 0 0 0 15 60 30 60 60 30 | 0 0 0 0 0 0 0 6 20 6 15 | * * * * 32
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