stericated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | scag |
| Name |
small cellihexacontitetrapeton, stericated hexacross |
| Circumradius | 2 |
| Coordinates | (sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Face vector | 960, 5760, 12480, 12480, 5336, 536 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o3o3x4o . . . . . . | 960 | 4 8 | 6 12 12 4 | 4 24 24 12 8 6 | 1 8 12 12 8 12 2 4 | 2 4 6 4 1 ------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x . . . . . | 2 | 1920 * | 3 6 0 0 | 3 12 6 3 0 0 | 1 6 6 6 2 3 0 0 | 2 3 3 1 0 . . . . x . | 2 | * 3840 | 0 3 3 1 | 0 3 6 3 3 3 | 0 1 3 3 3 6 1 3 | 1 1 3 3 1 ------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o . . . . | 3 | 3 0 | 1920 * * * | 2 4 0 0 0 0 | 1 4 2 2 0 0 0 0 | 2 2 1 0 0 x . . . x . | 4 | 2 2 | * 5760 * * | 0 2 2 1 0 0 | 0 1 2 2 1 2 0 0 | 1 1 2 1 0 . . . o3x . | 3 | 0 3 | * * 3840 * | 0 0 2 0 2 1 | 0 0 1 0 2 2 1 2 | 1 0 1 2 1 . . . . x4o | 4 | 0 4 | * * * 960 | 0 0 0 3 0 3 | 0 0 0 3 0 6 0 3 | 0 1 3 3 1 ------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 0 | 960 * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 0 x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 3840 * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 0 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 3840 * * * | 0 0 1 0 1 1 0 0 | 1 0 1 1 0 x . . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * * 1440 * * | 0 0 0 2 0 2 0 0 | 0 1 2 1 0 . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 1920 * | 0 0 0 0 1 0 1 1 | 1 0 0 1 1 . . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * * * 480 | 0 0 0 0 0 2 0 2 | 0 0 1 2 1 ------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o3o3o . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 0 x3o3o . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 0 x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 0 | * * 1280 * * * * * | 1 0 1 0 0 x3o . . x4o ♦ 12 | 12 12 | 4 12 0 3 | 0 4 0 3 0 0 | * * * 960 * * * * | 0 1 1 0 0 x . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 0 4 0 2 0 | * * * * 960 * * * | 1 0 0 1 0 x . . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 0 8 6 0 2 | * * * * * 480 * * | 0 0 1 1 0 . o3o3o3x . ♦ 5 | 0 10 | 0 0 10 0 | 0 0 0 0 5 0 | * * * * * * 384 * | 1 0 0 0 1 . . o3o3x4o ♦ 32 | 0 96 | 0 0 64 24 | 0 0 0 0 16 8 | * * * * * * * 120 | 0 0 0 1 1 ------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o3o3o3x . ♦ 30 | 60 60 | 60 90 60 0 | 30 60 60 0 30 0 | 6 15 20 0 15 0 6 0 | 64 * * * * x3o3o . x4o ♦ 16 | 24 16 | 16 24 0 4 | 4 16 0 6 0 0 | 0 4 0 4 0 0 0 0 | * 240 * * * x3o . o3x4o ♦ 36 | 36 72 | 12 72 24 18 | 0 24 24 18 0 3 | 0 0 8 6 0 3 0 0 | * * 160 * * x . o3o3x4o ♦ 64 | 32 192 | 0 96 128 48 | 0 0 64 24 32 16 | 0 0 0 0 16 8 0 2 | * * * 60 * . o3o3o3x4o ♦ 80 | 0 320 | 0 0 320 80 | 0 0 0 0 160 40 | 0 0 0 0 0 0 32 10 | * * * * 12
x3o3o3o3x4/3o . . . . . . | 960 | 4 8 | 6 12 12 4 | 4 24 24 12 8 6 | 1 8 12 12 8 12 2 4 | 2 4 6 4 1 --------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x . . . . . | 2 | 1920 * | 3 6 0 0 | 3 12 6 3 0 0 | 1 6 6 6 2 3 0 0 | 2 3 3 1 0 . . . . x . | 2 | * 3840 | 0 3 3 1 | 0 3 6 3 3 3 | 0 1 3 3 3 6 1 3 | 1 1 3 3 1 --------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o . . . . | 3 | 3 0 | 1920 * * * | 2 4 0 0 0 0 | 1 4 2 2 0 0 0 0 | 2 2 1 0 0 x . . . x . | 4 | 2 2 | * 5760 * * | 0 2 2 1 0 0 | 0 1 2 2 1 2 0 0 | 1 1 2 1 0 . . . o3x . | 3 | 0 3 | * * 3840 * | 0 0 2 0 2 1 | 0 0 1 0 2 2 1 2 | 1 0 1 2 1 . . . . x4/3o | 4 | 0 4 | * * * 960 | 0 0 0 3 0 3 | 0 0 0 3 0 6 0 3 | 0 1 3 3 1 --------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 0 | 960 * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 0 x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 3840 * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 0 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 3840 * * * | 0 0 1 0 1 1 0 0 | 1 0 1 1 0 x . . . x4/3o ♦ 8 | 4 8 | 0 4 0 2 | * * * 1440 * * | 0 0 0 2 0 2 0 0 | 0 1 2 1 0 . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 1920 * | 0 0 0 0 1 0 1 1 | 1 0 0 1 1 . . . o3x4/3o ♦ 12 | 0 24 | 0 0 8 6 | * * * * * 480 | 0 0 0 0 0 2 0 2 | 0 0 1 2 1 --------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o3o3o . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 0 x3o3o . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 0 x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 0 | * * 1280 * * * * * | 1 0 1 0 0 x3o . . x4/3o ♦ 12 | 12 12 | 4 12 0 3 | 0 4 0 3 0 0 | * * * 960 * * * * | 0 1 1 0 0 x . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 0 4 0 2 0 | * * * * 960 * * * | 1 0 0 1 0 x . . o3x4/3o ♦ 24 | 12 48 | 0 24 16 12 | 0 0 8 6 0 2 | * * * * * 480 * * | 0 0 1 1 0 . o3o3o3x . ♦ 5 | 0 10 | 0 0 10 0 | 0 0 0 0 5 0 | * * * * * * 384 * | 1 0 0 0 1 . . o3o3x4/3o ♦ 32 | 0 96 | 0 0 64 24 | 0 0 0 0 16 8 | * * * * * * * 120 | 0 0 0 1 1 --------------+-----+-----------+--------------------+-----------------------------+----------------------------------+----------------- x3o3o3o3x . ♦ 30 | 60 60 | 60 90 60 0 | 30 60 60 0 30 0 | 6 15 20 0 15 0 6 0 | 64 * * * * x3o3o . x4/3o ♦ 16 | 24 16 | 16 24 0 4 | 4 16 0 6 0 0 | 0 4 0 4 0 0 0 0 | * 240 * * * x3o . o3x4/3o ♦ 36 | 36 72 | 12 72 24 18 | 0 24 24 18 0 3 | 0 0 8 6 0 3 0 0 | * * 160 * * x . o3o3x4/3o ♦ 64 | 32 192 | 0 96 128 48 | 0 0 64 24 32 16 | 0 0 0 0 16 8 0 2 | * * * 60 * . o3o3o3x4/3o ♦ 80 | 0 320 | 0 0 320 80 | 0 0 0 0 160 40 | 0 0 0 0 0 0 32 10 | * * * * 12
x3o3x *b3o3o3x . . . . . . | 960 | 4 4 4 | 6 4 12 6 12 6 | 6 4 12 12 12 4 12 12 4 | 4 12 1 4 6 12 4 1 4 6 1 4 | 1 4 6 1 4 1 ---------------+-----+----------------+------------------------------+------------------------------------------+-------------------------------------------------+-------------------- x . . . . . | 2 | 1920 * * | 3 1 3 0 0 0 | 3 3 6 3 3 0 0 0 0 | 3 6 1 3 3 3 1 0 0 0 0 0 | 1 3 3 1 1 0 . . x . . . | 2 | * 1920 * | 0 1 0 3 3 0 | 3 0 0 3 0 3 6 3 0 | 3 6 0 0 0 3 0 1 3 3 0 1 | 1 3 3 0 1 1 . . . . . x | 2 | * * 1920 | 0 0 3 0 3 3 | 0 0 3 3 6 0 3 6 3 | 0 3 0 1 3 6 3 0 1 3 1 3 | 0 1 3 1 3 1 ---------------+-----+----------------+------------------------------+------------------------------------------+-------------------------------------------------+-------------------- x3o . . . . | 3 | 3 0 0 | 1920 * * * * * | 1 2 2 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 0 0 | 1 2 1 1 0 0 x . x . . . | 4 | 2 2 0 | * 960 * * * * | 3 0 0 3 0 0 0 0 0 | 3 6 0 0 0 3 0 0 0 0 0 0 | 1 3 3 0 3 0 x . . . . x | 4 | 2 0 2 | * * 2880 * * * | 0 0 2 1 2 0 0 0 0 | 0 2 0 1 2 2 1 0 0 0 0 0 | 0 1 2 1 1 0 . o3x . . . | 3 | 0 3 0 | * * * 1920 * * | 1 0 0 0 0 2 2 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 2 | * * * * 2880 * | 0 0 0 1 0 0 2 2 0 | 0 2 0 0 0 2 0 0 1 2 0 1 | 0 1 2 0 1 1 . . . . o3x | 3 | 0 0 3 | * * * * * 1920 | 0 0 0 0 2 0 0 2 2 | 0 0 0 0 1 2 2 0 0 1 1 2 | 0 0 1 1 2 1 ---------------+-----+----------------+------------------------------+------------------------------------------+-------------------------------------------------+-------------------- x3o3x . . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | 480 * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x3o . *b3o . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * 960 * * * * * * * | 1 0 1 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x3o . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 1920 * * * * * * | 0 1 0 1 1 0 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 | * * * 1440 * * * * * | 0 2 0 0 0 2 0 0 0 0 0 0 | 0 1 1 0 1 0 x . . . o3x ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 1920 * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . o3x *b3o . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * 960 * * * | 1 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . o3x . . x ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * * * 1920 * * | 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . . x . o3x ♦ 6 | 0 3 6 | 0 0 0 0 3 2 | * * * * * * * 1920 * | 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . . . o3o3x ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * * 960 | 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ---------------+-----+----------------+------------------------------+------------------------------------------+-------------------------------------------------+-------------------- x3o3x *b3o . . ♦ 32 | 48 48 0 | 32 24 0 32 0 0 | 8 8 0 0 0 8 0 0 0 | 120 * * * * * * * * * * * | 1 1 0 0 0 0 x3o3x . . x ♦ 24 | 24 24 12 | 8 12 12 8 12 0 | 2 0 4 6 0 0 4 0 0 | * 480 * * * * * * * * * * | 0 1 1 0 0 0 x3o . *b3o3o . ♦ 5 | 10 0 0 | 10 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 | * * 192 * * * * * * * * * | 1 0 0 1 0 0 x3o . *b3o . x ♦ 8 | 12 0 4 | 8 0 6 0 0 0 | 0 2 4 0 0 0 0 0 0 | * * * 480 * * * * * * * * | 0 1 0 1 0 0 x3o . . o3x ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 0 3 0 3 0 0 0 0 | * * * * 640 * * * * * * * | 0 0 1 1 0 0 x . x . o3x ♦ 12 | 6 6 12 | 0 3 6 0 6 4 | 0 0 0 3 2 0 0 2 0 | * * * * * 960 * * * * * * | 0 0 1 0 1 0 x . . o3o3x ♦ 8 | 4 0 12 | 0 0 6 0 0 8 | 0 0 0 0 4 0 0 0 2 | * * * * * * 480 * * * * * | 0 0 0 1 1 0 . o3x *b3o3o . ♦ 5 | 0 10 0 | 0 0 0 10 0 0 | 0 0 0 0 0 5 0 0 0 | * * * * * * * 192 * * * * | 1 0 0 0 0 1 . o3x *b3o . x ♦ 8 | 0 12 4 | 0 0 0 8 6 0 | 0 0 0 0 0 2 4 0 0 | * * * * * * * * 480 * * * | 0 1 0 0 0 1 . o3x . o3x ♦ 9 | 0 9 9 | 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 0 | * * * * * * * * * 640 * * | 0 0 1 0 0 1 . o . *b3o3o3x ♦ 5 | 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * 192 * | 0 0 0 1 0 1 . . x o3o3x ♦ 8 | 0 4 12 | 0 0 0 0 6 8 | 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * 480 | 0 0 0 0 1 1 ---------------+-----+----------------+------------------------------+------------------------------------------+-------------------------------------------------+-------------------- x3o3x *b3o3o . ♦ 80 | 160 160 0 | 160 80 0 160 0 0 | 40 80 0 0 0 80 0 0 0 | 10 0 16 0 0 0 0 16 0 0 0 0 | 12 * * * * * x3o3x *b3o . x ♦ 64 | 96 96 32 | 64 48 48 64 48 0 | 16 16 32 24 0 16 32 0 0 | 2 8 0 8 0 0 0 0 8 0 0 0 | * 60 * * * * x3o3x . o3x ♦ 36 | 36 36 36 | 12 18 36 12 36 12 | 3 0 12 18 12 0 12 12 0 | 0 3 0 0 4 6 0 0 0 4 0 0 | * * 160 * * * x3o . *b3o3o3x ♦ 30 | 60 0 60 | 60 0 90 0 0 60 | 0 30 60 0 60 0 0 0 30 | 0 0 6 15 20 0 15 0 0 0 6 0 | * * * 32 * * x . x o3o3x ♦ 16 | 8 8 24 | 0 4 12 0 12 16 | 0 0 0 6 8 0 0 8 4 | 0 0 0 0 0 4 2 0 0 0 0 2 | * * * * 240 * . o3x *b3o3o3x ♦ 30 | 0 60 60 | 0 0 0 60 90 60 | 0 0 0 0 0 30 60 60 30 | 0 0 0 0 0 0 0 6 15 20 6 15 | * * * * * 32
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