Gosset heptacomb 13,3,
Voronoi complex of lattice E7*
- general polytopal classes:
- Coxeter-Elte-Gosset polytopes
links
| Acronym | linoh |
| Name |
pentacontihexahecatonicosihexaexic heptacomb, Gosset heptacomb 13,3, Voronoi complex of lattice E7* |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3o *d3x (N → ∞) . . . . . . . . | 72N ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 | 8 8 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- . . . . . . . x | 2 | 2520N ♦ 16 | 24 24 | 16 36 16 | 4 24 24 4 | 6 16 6 | 4 4 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- . . . o . . . *d3x | 3 | 3 | 13440N | 3 3 | 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- . . o3o . . . *d3x ♦ 4 | 6 | 4 | 10080N * | 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . o3o . . *d3x ♦ 4 | 6 | 4 | * 10080N | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- . o3o3o . . . *d3x ♦ 5 | 10 | 10 | 5 0 | 4032N * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3o3o . . *d3x ♦ 8 | 24 | 32 | 8 8 | * 3780N * | 0 2 2 0 | 1 4 1 | 2 2 . . . o3o3o . *d3x ♦ 5 | 10 | 10 | 0 5 | * * 4032N | 0 0 3 1 | 0 3 3 | 1 3 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- o3o3o3o . . . *d3x ♦ 6 | 15 | 20 | 15 0 | 6 0 0 | 672N * * * | 3 0 0 | 3 0 . o3o3o3o . . *d3x ♦ 16 | 80 | 160 | 80 40 | 16 10 0 | * 756N * * | 1 2 0 | 2 1 . . o3o3o3o . *d3x ♦ 16 | 80 | 160 | 40 80 | 0 10 16 | * * 756N * | 0 2 1 | 1 2 . . . o3o3o3o *d3x ♦ 6 | 15 | 20 | 0 15 | 0 0 6 | * * * 672N | 0 0 3 | 0 3 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- o3o3o3o3o . . *d3x ♦ 32 | 240 | 640 | 480 160 | 192 60 0 | 32 12 0 0 | 63N * * | 2 0 . o3o3o3o3o . *d3x ♦ 72 | 720 | 2160 | 1080 1080 | 216 270 216 | 0 27 27 0 | * 56N * | 1 1 . . o3o3o3o3o *d3x ♦ 32 | 240 | 640 | 160 480 | 0 60 192 | 0 0 12 32 | * * 63N | 0 2 -------------------+-----+-------+--------+---------------+-------------------+---------------------+-------------+---- o3o3o3o3o3o . *d3x ♦ 576 | 10080 | 40320 | 30240 20160 | 12096 7560 4032 | 2016 1512 756 0 | 126 56 0 | N * . o3o3o3o3o3o *d3x ♦ 576 | 10080 | 40320 | 20160 30240 | 4032 7560 12096 | 0 756 1512 2016 | 0 56 126 | * N
or . . . . . . . . | 36N ♦ 70 | 560 | 1120 | 560 420 | 112 336 | 56 56 | 16 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- . . . . . . . x | 2 | 1260N ♦ 16 | 48 | 32 36 | 8 48 | 12 16 | 8 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- . . . o . . . *d3x | 3 | 3 | 6720N | 6 | 6 9 | 2 18 | 6 9 | 6 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- . . o3o . . . *d3x & ♦ 4 | 6 | 4 | 10080N | 2 3 | 1 9 | 4 6 | 5 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- . o3o3o . . . *d3x & ♦ 5 | 10 | 10 | 5 | 4032N * | 1 3 | 3 3 | 4 . . o3o3o . . *d3x ♦ 8 | 24 | 32 | 16 | * 1890N | 0 4 | 2 4 | 4 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- o3o3o3o . . . *d3x & ♦ 6 | 15 | 20 | 15 | 6 0 | 672N * | 3 0 | 3 . o3o3o3o . . *d3x & ♦ 16 | 80 | 160 | 120 | 16 10 | * 756N | 1 2 | 3 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- o3o3o3o3o . . *d3x & ♦ 32 | 240 | 640 | 640 | 192 60 | 32 12 | 63N * | 2 . o3o3o3o3o . *d3x ♦ 72 | 720 | 2160 | 2160 | 432 270 | 0 54 | * 28N | 2 ----------------------+-----+-------+-------+--------+-------------+-----------+---------+--- o3o3o3o3o3o . *d3x & ♦ 576 | 10080 | 40320 | 50400 | 16128 7560 | 2016 2268 | 126 56 | N
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