Gosset hexacomb 02,2,2,
Voronoi complex of lattice E6*
- general polytopal classes:
- noble polytopes Coxeter-Elte-Gosset polytopes
links
| Acronym | ramoh |
| Name |
rectified-pentacontitetrapetic hexacomb, Gosset hexacomb 02,2,2, Voronoi complex of lattice E6* |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3x3o3o *c3o3o (N → ∞) . . . . . . . | 240N ♦ 27 | 27 27 27 | 9 27 27 9 27 9 | 9 9 9 27 9 9 9 | 3 9 3 9 9 3 | 3 3 3 -----------------+------+-------+-------------------+----------------------------------+------------------------------------+-------------------------+------ . . x . . . . | 2 | 3240N | 2 2 2 | 1 4 4 1 4 1 | 2 2 2 8 2 2 2 | 1 4 1 4 4 1 | 2 2 2 -----------------+------+-------+-------------------+----------------------------------+------------------------------------+-------------------------+------ . o3x . . . . | 3 | 3 | 2160N * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 4 1 2 2 0 | 2 2 1 . . x3o . . . | 3 | 3 | * 2160N * | 0 2 0 1 2 0 | 1 0 2 4 0 2 0 | 1 2 0 4 2 1 | 2 1 2 . . x . . *c3o . | 3 | 3 | * * 2160N | 0 0 2 0 2 1 | 0 1 0 4 2 1 2 | 0 2 1 2 4 1 | 1 2 2 -----------------+------+-------+-------------------+----------------------------------+------------------------------------+-------------------------+------ o3o3x . . . . ♦ 4 | 6 | 4 0 0 | 540N * * * * * | 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 . o3x3o . . . ♦ 6 | 12 | 4 4 0 | * 1080N * * * * | 1 0 1 2 0 0 0 | 1 2 0 2 1 0 | 2 1 1 . o3x . . *c3o . ♦ 6 | 12 | 4 0 4 | * * 1080N * * * | 0 1 0 2 1 0 0 | 0 2 1 1 2 0 | 1 2 1 . . x3o3o . . ♦ 4 | 6 | 0 4 0 | * * * 540N * * | 0 0 2 0 0 2 0 | 1 0 0 4 0 1 | 2 0 2 . . x3o . *c3o . ♦ 6 | 12 | 0 4 4 | * * * * 1080N * | 0 0 0 2 0 1 1 | 0 1 0 2 2 1 | 1 1 2 . . x . . *c3o3o ♦ 4 | 6 | 0 0 4 | * * * * * 540N | 0 0 0 0 2 0 2 | 0 0 1 0 4 1 | 0 2 2 -----------------+------+-------+-------------------+----------------------------------+------------------------------------+-------------------------+------ o3o3x3o . . . ♦ 10 | 30 | 20 10 0 | 5 5 0 0 0 0 | 216N * * * * * * | 1 2 0 0 0 0 | 2 1 0 o3o3x . . *c3o . ♦ 10 | 30 | 20 0 10 | 5 0 5 0 0 0 | * 216N * * * * * | 0 2 1 0 0 0 | 1 2 0 . o3x3o3o . . ♦ 10 | 30 | 10 20 0 | 0 5 0 5 0 0 | * * 216N * * * * | 1 0 0 2 0 0 | 2 0 1 . o3x3o . *c3o . ♦ 24 | 96 | 32 32 32 | 0 8 8 0 8 0 | * * * 270N * * * | 0 1 0 1 1 0 | 1 1 1 . o3x . . *c3o3o ♦ 10 | 30 | 10 0 20 | 0 0 5 0 0 5 | * * * * 216N * * | 0 0 1 0 2 0 | 0 2 1 . . x3o3o *c3o . ♦ 10 | 30 | 0 20 10 | 0 0 0 5 5 0 | * * * * * 216N * | 0 0 0 2 0 1 | 1 0 2 . . x3o . *c3o3o ♦ 10 | 30 | 0 10 20 | 0 0 0 0 5 5 | * * * * * * 216N | 0 0 0 0 2 1 | 0 1 2 -----------------+------+-------+-------------------+----------------------------------+------------------------------------+-------------------------+------ o3o3x3o3o . . ♦ 20 | 90 | 60 60 0 | 15 30 0 15 0 0 | 6 0 6 0 0 0 0 | 36N * * * * * | 2 0 0 o3o3x3o . *c3o . ♦ 80 | 480 | 320 160 160 | 80 80 80 0 40 0 | 16 16 0 10 0 0 0 | * 27N * * * * | 1 1 0 o3o3x . . *c3o3o ♦ 20 | 90 | 60 0 60 | 15 0 30 0 0 15 | 0 6 0 0 6 0 0 | * * 36N * * * | 0 2 0 . o3x3o3o *c3o . ♦ 80 | 480 | 160 320 160 | 0 80 40 80 80 0 | 0 0 16 10 0 16 0 | * * * 27N * * | 1 0 1 . o3x3o . *c3o3o ♦ 80 | 480 | 160 160 320 | 0 40 80 0 80 80 | 0 0 0 10 16 0 16 | * * * * 27N * | 0 1 1 . . x3o3o *c3o3o ♦ 20 | 90 | 0 60 60 | 0 0 0 15 30 15 | 0 0 0 0 0 6 6 | * * * * * 36N | 0 0 2 -----------------+------+-------+-------------------+----------------------------------+------------------------------------+-------------------------+------ o3o3x3o3o *c3o . ♦ 720 | 6480 | 4320 4320 2160 | 1080 2160 1080 1080 1080 0 | 432 216 432 270 0 216 0 | 72 27 0 27 0 0 | N * * o3o3x3o . *c3o3o ♦ 720 | 6480 | 4320 2160 4320 | 1080 1080 2160 0 1080 1080 | 216 432 0 270 432 0 216 | 0 27 72 0 27 0 | * N * . o3x3o3o *c3o3o ♦ 720 | 6480 | 2160 4320 4320 | 0 1080 1080 1080 2160 1080 | 0 0 216 270 216 432 432 | 0 0 0 27 27 72 | * * N
or . . . . . . . | 80N ♦ 27 | 81 | 27 81 | 54 27 | 9 27 | 9 --------------------+-----+-------+-------+------------+----------+---------+-- . . x . . . . | 2 | 1080N | 6 | 3 12 | 12 8 | 3 12 | 6 --------------------+-----+-------+-------+------------+----------+---------+-- . o3x . . . . & | 3 | 3 | 2160N | 1 4 | 6 4 | 2 8 | 5 --------------------+-----+-------+-------+------------+----------+---------+-- o3o3x . . . . & ♦ 4 | 6 | 4 | 540N * | 4 0 | 2 4 | 4 . o3x3o . . . & ♦ 6 | 12 | 8 | * 1080N | 2 2 | 1 5 | 4 --------------------+-----+-------+-------+------------+----------+---------+-- o3o3x3o . . . & ♦ 10 | 30 | 30 | 5 5 | 432N * | 1 2 | 3 . o3x3o . *c3o . ♦ 24 | 96 | 96 | 0 24 | * 90N | 0 3 | 3 --------------------+-----+-------+-------+------------+----------+---------+-- o3o3x3o3o . . & ♦ 20 | 90 | 120 | 30 30 | 12 0 | 36N * | 2 o3o3x3o . *c3o . & ♦ 80 | 480 | 640 | 80 200 | 32 10 | * 27N | 2 --------------------+-----+-------+-------+------------+----------+---------+-- o3o3x3o3o *c3o . & ♦ 720 | 6480 | 10800 | 2160 4320 | 1296 270 | 72 54 | N
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