cantitruncated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | grog |
| Name |
great rhombihexacontitetrapeton, cantitruncated hexacross |
| Circumradius | sqrt(7) = 2.645751 |
| Coordinates | (3/sqrt(2), sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign |
| Face vector | 960, 3840, 6400, 5040, 1656, 136 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3x3o3o4o . . . . . . | 960 | 1 1 6 | 1 6 6 12 | 6 12 12 8 | 12 8 8 1 | 8 1 1 ------------+-----+--------------+-------------------+-------------------+-----------------+--------- x . . . . . | 2 | 480 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 0 | 8 1 0 . x . . . . | 2 | * 480 * | 1 0 6 0 | 6 0 12 0 | 12 0 8 0 | 8 0 1 . . x . . . | 2 | * * 2880 | 0 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1 ------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x . . . . | 6 | 3 3 0 | 160 * * * ♦ 6 0 0 0 | 12 0 0 0 | 8 0 0 x . x . . . | 4 | 2 0 2 | * 1440 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0 . x3x . . . | 6 | 0 3 3 | * * 960 * | 1 0 4 0 | 4 0 4 0 | 4 0 1 . . x3o . . | 3 | 0 0 3 | * * * 3840 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x3x . . . ♦ 24 | 12 12 12 | 4 6 4 0 | 240 * * * | 4 0 0 0 | 4 0 0 x . x3o . . ♦ 6 | 3 0 6 | 0 3 0 2 | * 1920 * * | 1 2 0 0 | 2 1 0 . x3x3o . . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 960 * | 1 0 2 0 | 2 0 1 . . x3o3o . ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 1920 | 0 1 1 1 | 1 1 1 ------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x3x3o . . ♦ 60 | 30 30 60 | 10 30 20 20 | 5 10 5 0 | 192 * * * | 2 0 0 x . x3o3o . ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 960 * * | 1 1 0 . x3x3o3o . ♦ 20 | 0 10 30 | 0 0 10 20 | 0 0 5 5 | * * 384 * | 1 0 1 . . x3o3o4o ♦ 8 | 0 0 24 | 0 0 0 32 | 0 0 0 16 | * * * 120 | 0 1 1 ------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x3x3o3o . ♦ 120 | 60 60 180 | 20 90 60 120 | 15 60 30 30 | 6 15 6 0 | 64 * * x . x3o3o4o ♦ 16 | 8 0 48 | 0 24 0 64 | 0 32 0 32 | 0 16 0 2 | * 60 * . x3x3o3o4o ♦ 80 | 0 40 240 | 0 0 80 320 | 0 0 80 160 | 0 0 32 10 | * * 12
x3x3x3o3o4/3o . . . . . . | 960 | 1 1 6 | 1 6 6 12 | 6 12 12 8 | 12 8 8 1 | 8 1 1 --------------+-----+--------------+-------------------+-------------------+-----------------+--------- x . . . . . | 2 | 480 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 0 | 8 1 0 . x . . . . | 2 | * 480 * | 1 0 6 0 | 6 0 12 0 | 12 0 8 0 | 8 0 1 . . x . . . | 2 | * * 2880 | 0 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1 --------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x . . . . | 6 | 3 3 0 | 160 * * * ♦ 6 0 0 0 | 12 0 0 0 | 8 0 0 x . x . . . | 4 | 2 0 2 | * 1440 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0 . x3x . . . | 6 | 0 3 3 | * * 960 * | 1 0 4 0 | 4 0 4 0 | 4 0 1 . . x3o . . | 3 | 0 0 3 | * * * 3840 | 0 1 1 2 | 1 2 2 1 | 2 1 1 --------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x3x . . . ♦ 24 | 12 12 12 | 4 6 4 0 | 240 * * * | 4 0 0 0 | 4 0 0 x . x3o . . ♦ 6 | 3 0 6 | 0 3 0 2 | * 1920 * * | 1 2 0 0 | 2 1 0 . x3x3o . . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 960 * | 1 0 2 0 | 2 0 1 . . x3o3o . ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 1920 | 0 1 1 1 | 1 1 1 --------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x3x3o . . ♦ 60 | 30 30 60 | 10 30 20 20 | 5 10 5 0 | 192 * * * | 2 0 0 x . x3o3o . ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 960 * * | 1 1 0 . x3x3o3o . ♦ 20 | 0 10 30 | 0 0 10 20 | 0 0 5 5 | * * 384 * | 1 0 1 . . x3o3o4/3o ♦ 8 | 0 0 24 | 0 0 0 32 | 0 0 0 16 | * * * 120 | 0 1 1 --------------+-----+--------------+-------------------+-------------------+-----------------+--------- x3x3x3o3o . ♦ 120 | 60 60 180 | 20 90 60 120 | 15 60 30 30 | 6 15 6 0 | 64 * * x . x3o3o4/3o ♦ 16 | 8 0 48 | 0 24 0 64 | 0 32 0 32 | 0 16 0 2 | * 60 * . x3x3o3o4/3o ♦ 80 | 0 40 240 | 0 0 80 320 | 0 0 80 160 | 0 0 32 10 | * * 12
o3o3o *b3x3x3x . . . . . . | 960 | 6 1 1 | 12 6 6 1 | 4 4 12 12 6 | 1 4 4 4 4 12 | 1 1 4 4 ---------------+-----+--------------+-------------------+----------------------+-------------------------+------------ . . . x . . | 2 | 2880 * * | 4 1 1 0 | 2 2 4 4 1 | 1 2 2 2 2 4 | 1 1 2 2 . . . . x . | 2 | * 480 * | 0 6 0 1 | 0 0 12 0 6 | 0 4 0 4 0 12 | 1 0 4 4 . . . . . x | 2 | * * 480 | 0 0 6 1 | 0 0 0 12 6 | 0 0 4 0 4 12 | 0 1 4 4 ---------------+-----+--------------+-------------------+----------------------+-------------------------+------------ . o . *b3x . . | 3 | 3 0 0 | 3840 * * * | 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . x3x . | 6 | 3 3 0 | * 960 * * | 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . x . x | 4 | 2 0 2 | * * 1440 * | 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 . . . . x3x | 6 | 0 3 3 | * * * 160 ♦ 0 0 0 0 6 | 0 0 0 0 0 12 | 0 0 4 4 ---------------+-----+--------------+-------------------+----------------------+-------------------------+------------ o3o . *b3x . . ♦ 4 | 6 0 0 | 4 0 0 0 | 960 * * * * | 1 1 1 0 0 0 | 1 1 1 0 . o3o *b3x . . ♦ 4 | 6 0 0 | 4 0 0 0 | * 960 * * * | 1 0 0 1 1 0 | 1 1 0 1 . o . *b3x3x . ♦ 12 | 12 6 0 | 4 4 0 0 | * * 960 * * | 0 1 0 1 0 1 | 1 0 1 1 . o . *b3x . x ♦ 6 | 6 0 3 | 2 0 3 0 | * * * 1920 * | 0 0 1 0 1 1 | 0 1 1 1 . . . x3x3x ♦ 24 | 12 12 12 | 0 4 6 4 | * * * * 240 | 0 0 0 0 0 4 | 0 0 2 2 ---------------+-----+--------------+-------------------+----------------------+-------------------------+------------ o3o3o *b3x . . ♦ 8 | 24 0 0 | 32 0 0 0 | 8 8 0 0 0 | 120 * * * * * | 1 1 0 0 o3o . *b3x3x . ♦ 20 | 30 10 0 | 20 10 0 0 | 5 0 5 0 0 | * 192 * * * * | 1 0 1 0 o3o . *b3x . x ♦ 8 | 12 0 4 | 8 0 6 0 | 2 0 0 4 0 | * * 480 * * * | 0 1 1 0 . o3o *b3x3x . ♦ 20 | 30 10 0 | 20 10 0 0 | 0 5 5 0 0 | * * * 192 * * | 1 0 0 1 . o3o *b3x . x ♦ 8 | 12 0 4 | 8 0 6 0 | 0 2 0 4 0 | * * * * 480 * | 0 1 0 1 . o . *b3x3x3x ♦ 60 | 60 30 30 | 20 20 30 10 | 0 0 5 10 5 | * * * * * 192 | 0 0 1 1 ---------------+-----+--------------+-------------------+----------------------+-------------------------+------------ o3o3o *b3x3x . ♦ 80 | 240 40 0 | 320 80 0 0 | 80 80 80 0 0 | 10 16 0 16 0 0 | 12 * * * o3o3o *b3x . x ♦ 16 | 48 0 8 | 64 0 24 0 | 16 16 0 32 0 | 2 0 8 0 8 0 | * 60 * * o3o . *b3x3x3x ♦ 120 | 180 60 60 | 120 60 90 20 | 30 0 30 60 15 | 0 6 15 0 0 6 | * * 32 * . o3o *b3x3x3x ♦ 120 | 180 60 60 | 120 60 90 20 | 0 30 30 60 15 | 0 0 0 6 15 6 | * * * 32
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