Voronoi cell of lattice D7*
- general polytopal classes:
- Wythoffian polyexa lace simplices
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| Acronym | totaz |
| Name |
tritruncated hecatonicosoctaexon, Voronoi cell of lattice D7* |
| Circumradius | sqrt(13/2) = 2.549510 |
| Coordinates | (sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign |
| Face vector | 2240, 10080, 17920, 15120, 6328, 1428, 142 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3x3x3o3o4o . . . . . . . | 2240 | 3 6 | 3 18 12 | 1 18 36 8 | 6 36 24 1 | 12 24 3 | 8 3 --------------+------+-----------+----------------+--------------------+-------------------+------------+------- . . x . . . . | 2 | 3360 * | 2 6 0 | 1 12 12 0 | 6 24 8 0 | 12 16 1 | 8 2 . . . x . . . | 2 | * 6720 | 0 3 4 | 0 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 --------------+------+-----------+----------------+--------------------+-------------------+------------+------- . o3x . . . . | 3 | 3 0 | 2240 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 . . x3x . . . | 6 | 3 3 | * 6720 * | 0 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o . . | 3 | 0 3 | * * 8960 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 --------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x . . . . ♦ 4 | 6 0 | 4 0 0 | 560 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 . o3x3x . . . ♦ 12 | 12 6 | 4 4 0 | * 3360 * * | 1 4 0 0 | 4 4 0 | 4 1 . . x3x3o . . ♦ 12 | 6 12 | 0 4 4 | * * 6720 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * * 4480 | 0 0 3 1 | 0 3 3 | 1 3 --------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x3x . . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 | 672 * * * | 4 0 0 | 4 0 . o3x3x3o . . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * 2688 * * | 1 2 0 | 2 1 . . x3x3o3o . ♦ 20 | 10 30 | 0 10 20 | 0 0 5 5 | * * 2688 * | 0 2 1 | 1 2 . . . x3o3o4o ♦ 8 | 0 24 | 0 0 32 | 0 0 0 16 | * * * 280 | 0 0 3 | 0 3 --------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x3x3o . . ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 6 6 0 0 | 448 * * | 2 0 . o3x3x3o3o . ♦ 60 | 60 90 | 20 60 60 | 0 15 30 15 | 0 6 6 0 | * 896 * | 1 1 . . x3x3o3o4o ♦ 80 | 40 240 | 0 80 320 | 0 0 80 160 | 0 0 32 10 | * * 84 | 0 2 --------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x3x3o3o . ♦ 140 | 210 210 | 140 210 140 | 35 105 105 35 | 21 42 21 0 | 7 7 0 | 128 * . o3x3x3o3o4o ♦ 480 | 480 1440 | 160 960 1920 | 0 240 960 960 | 0 192 384 60 | 0 64 12 | * 14
o3o3x3x3o3o4/3o . . . . . . . | 2240 | 3 6 | 3 18 12 | 1 18 36 8 | 6 36 24 1 | 12 24 3 | 8 3 ----------------+------+-----------+----------------+--------------------+-------------------+------------+------- . . x . . . . | 2 | 3360 * | 2 6 0 | 1 12 12 0 | 6 24 8 0 | 12 16 1 | 8 2 . . . x . . . | 2 | * 6720 | 0 3 4 | 0 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ----------------+------+-----------+----------------+--------------------+-------------------+------------+------- . o3x . . . . | 3 | 3 0 | 2240 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 . . x3x . . . | 6 | 3 3 | * 6720 * | 0 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o . . | 3 | 0 3 | * * 8960 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ----------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x . . . . ♦ 4 | 6 0 | 4 0 0 | 560 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 . o3x3x . . . ♦ 12 | 12 6 | 4 4 0 | * 3360 * * | 1 4 0 0 | 4 4 0 | 4 1 . . x3x3o . . ♦ 12 | 6 12 | 0 4 4 | * * 6720 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * * 4480 | 0 0 3 1 | 0 3 3 | 1 3 ----------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x3x . . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 | 672 * * * | 4 0 0 | 4 0 . o3x3x3o . . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * 2688 * * | 1 2 0 | 2 1 . . x3x3o3o . ♦ 20 | 10 30 | 0 10 20 | 0 0 5 5 | * * 2688 * | 0 2 1 | 1 2 . . . x3o3o4/3o ♦ 8 | 0 24 | 0 0 32 | 0 0 0 16 | * * * 280 | 0 0 3 | 0 3 ----------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x3x3o . . ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 6 6 0 0 | 448 * * | 2 0 . o3x3x3o3o . ♦ 60 | 60 90 | 20 60 60 | 0 15 30 15 | 0 6 6 0 | * 896 * | 1 1 . . x3x3o3o4/3o ♦ 80 | 40 240 | 0 80 320 | 0 0 80 160 | 0 0 32 10 | * * 84 | 0 2 ----------------+------+-----------+----------------+--------------------+-------------------+------------+------- o3o3x3x3o3o . ♦ 140 | 210 210 | 140 210 140 | 35 105 105 35 | 21 42 21 0 | 7 7 0 | 128 * . o3x3x3o3o4/3o ♦ 480 | 480 1440 | 160 960 1920 | 0 240 960 960 | 0 192 384 60 | 0 64 12 | * 14
o3o3o *b3x3x3o3o . . . . . . . | 2240 | 6 3 | 12 18 3 | 4 4 36 18 1 | 1 12 12 36 6 | 3 12 12 12 | 3 4 4 -----------------+------+-----------+----------------+-------------------------+------------------------+----------------+--------- . . . x . . . | 2 | 6720 * | 4 3 0 | 2 2 12 3 0 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 . . . . x . . | 2 | * 3360 | 0 6 2 | 0 0 12 12 1 | 0 4 4 24 6 | 1 8 8 12 | 2 4 4 -----------------+------+-----------+----------------+-------------------------+------------------------+----------------+--------- . o . *b3x . . . | 3 | 3 0 | 8960 * * | 1 1 3 0 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . x3x . . | 6 | 3 3 | * 6720 * | 0 0 4 2 0 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . x3o . | 3 | 0 3 | * * 2240 | 0 0 0 6 1 | 0 0 0 12 6 | 0 4 4 12 | 1 4 4 -----------------+------+-----------+----------------+-------------------------+------------------------+----------------+--------- o3o . *b3x . . . ♦ 4 | 6 0 | 4 0 0 | 2240 * * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . o3o *b3x . . . ♦ 4 | 6 0 | 4 0 0 | * 2240 * * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . o . *b3x3x . . ♦ 12 | 12 6 | 4 4 0 | * * 6720 * * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * * * 3360 * | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . x3o3o ♦ 4 | 0 6 | 0 0 4 | * * * * 560 ♦ 0 0 0 0 6 | 0 0 0 12 | 0 4 4 -----------------+------+-----------+----------------+-------------------------+------------------------+----------------+--------- o3o3o *b3x . . . ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | 280 * * * * | 3 0 0 0 | 3 0 0 o3o . *b3x3x . . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | * 1344 * * * | 1 2 0 0 | 2 1 0 . o3o *b3x3x . . ♦ 20 | 30 10 | 20 10 0 | 0 5 5 0 0 | * * 1344 * * | 1 0 2 0 | 2 0 1 . o . *b3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 0 0 5 5 0 | * * * 2688 * | 0 1 1 1 | 1 1 1 . . . x3x3o3o ♦ 20 | 10 30 | 0 10 20 | 0 0 0 5 5 | * * * * 672 | 0 0 0 4 | 0 2 2 -----------------+------+-----------+----------------+-------------------------+------------------------+----------------+--------- o3o3o *b3x3x . . ♦ 80 | 240 40 | 320 80 0 | 80 80 80 0 0 | 10 16 16 0 0 | 84 * * * | 2 0 0 o3o . *b3x3x3o . ♦ 60 | 90 60 | 60 60 20 | 15 0 30 15 0 | 0 6 0 6 0 | * 448 * * | 1 1 0 . o3o *b3x3x3o . ♦ 60 | 90 60 | 60 60 20 | 0 15 30 15 0 | 0 0 6 6 0 | * * 448 * | 1 0 1 . o . *b3x3x3o3o ♦ 60 | 60 90 | 20 60 60 | 0 0 15 30 15 | 0 0 0 6 6 | * * * 448 | 0 1 1 -----------------+------+-----------+----------------+-------------------------+------------------------+----------------+--------- o3o3o *b3x3x3o . ♦ 480 | 1440 480 | 1920 960 160 | 480 480 960 240 0 | 60 192 192 192 0 | 12 32 32 0 | 14 * * o3o . *b3x3x3o3o ♦ 140 | 210 210 | 140 210 140 | 35 0 105 105 35 | 0 21 0 42 21 | 0 7 0 7 | * 64 * . o3o *b3x3x3o3o ♦ 140 | 210 210 | 140 210 140 | 0 35 105 105 35 | 0 0 21 42 21 | 0 0 7 7 | * * 64
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