Delone complex of lattice A7
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| Acronym | cyooh |
| Name |
cyclo-octaexic heptacomb, Delone complex of lattice A7 |
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Incidence matrix according to Dynkin symbol
x3o3o3o3o3o3o3o3*a (N → ∞) . . . . . . . . | N ♦ 56 | 168 168 | 280 420 280 | 280 560 560 280 | 168 420 560 420 168 | 56 168 280 280 168 56 | 8 28 56 70 56 28 8 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x . . . . . . . | 2 | 28N | 6 6 | 15 30 15 | 20 60 60 20 | 15 60 90 60 15 | 6 30 60 60 30 6 | 1 6 15 20 15 6 1 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x3o . . . . . . | 3 | 3 | 56N * | 5 5 0 | 10 20 10 0 | 10 30 30 10 0 | 5 20 30 20 5 0 | 1 5 10 10 5 1 0 x . . . . . . o3*a | 3 | 3 | * 56N | 0 5 5 | 0 10 20 10 | 0 10 30 30 10 | 0 5 20 30 20 5 | 0 1 5 10 10 5 1 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x3o3o . . . . . ♦ 4 | 6 | 4 0 | 70N * * | 4 4 0 0 | 6 12 6 0 0 | 4 12 12 4 0 0 | 1 4 6 4 1 0 0 x3o . . . . . o3*a ♦ 6 | 12 | 4 4 | * 70N * | 0 4 4 0 | 0 6 12 6 0 | 0 4 12 12 4 0 | 0 1 4 6 4 1 0 x . . . . . o3o3*a ♦ 4 | 6 | 0 4 | * * 70N | 0 0 4 4 | 0 0 6 12 6 | 0 0 4 12 12 4 | 0 0 1 4 6 4 1 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x3o3o3o . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 56N * * * | 3 3 0 0 0 | 3 6 3 0 0 0 | 1 3 3 1 0 0 0 x3o3o . . . . o3*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 56N * * | 0 3 3 0 0 | 0 3 6 3 0 0 | 0 1 3 3 1 0 0 x3o . . . . o3o3*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 56N * | 0 0 3 3 0 | 0 0 3 6 3 0 | 0 0 1 3 3 1 0 x . . . . o3o3o3*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 56N | 0 0 0 3 3 | 0 0 0 3 6 3 | 0 0 0 1 3 3 1 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x3o3o3o3o . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | 28N * * * * | 2 2 0 0 0 0 | 1 2 1 0 0 0 0 x3o3o3o . . . o3*a ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | * 28N * * * | 0 2 2 0 0 0 | 0 1 2 1 0 0 0 x3o3o . . . o3o3*a ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * * 28N * * | 0 0 2 2 0 0 | 0 0 1 2 1 0 0 x3o . . . o3o3o3*a ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * * 28N * | 0 0 0 2 2 0 | 0 0 0 1 2 1 0 x . . . o3o3o3o3*a ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * * 28N | 0 0 0 0 2 2 | 0 0 0 0 1 2 1 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x3o3o3o3o3o . . ♦ 7 | 21 | 35 0 | 35 0 0 | 21 0 0 0 | 7 0 0 0 0 | 8N * * * * * | 1 1 0 0 0 0 0 x3o3o3o3o . . o3*a ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 | 7 7 0 0 0 | * 8N * * * * | 0 1 1 0 0 0 0 x3o3o3o . . o3o3*a ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 0 7 7 0 0 | * * 8N * * * | 0 0 1 1 0 0 0 x3o3o . . o3o3o3*a ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 0 7 7 0 | * * * 8N * * | 0 0 0 1 1 0 0 x3o . . o3o3o3o3*a ♦ 21 | 105 | 35 140 | 0 35 105 | 0 0 21 42 | 0 0 0 7 7 | * * * * 8N * | 0 0 0 0 1 1 0 x . . o3o3o3o3o3*a ♦ 7 | 21 | 0 35 | 0 0 35 | 0 0 0 21 | 0 0 0 0 7 | * * * * * 8N | 0 0 0 0 0 1 1 -------------------+-----+-----+---------+-------------+-----------------+---------------------+-----------------------+------------------- x3o3o3o3o3o3o . ♦ 8 | 28 | 56 0 | 70 0 0 | 56 0 0 0 | 28 0 0 0 0 | 8 0 0 0 0 0 | N * * * * * * x3o3o3o3o3o . o3*a ♦ 28 | 168 | 280 56 | 280 70 0 | 168 56 0 0 | 56 28 0 0 0 | 8 8 0 0 0 0 | * N * * * * * x3o3o3o3o . o3o3*a ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 0 | 28 56 28 0 0 | 0 8 8 0 0 0 | * * N * * * * x3o3o3o . o3o3o3*a ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 0 28 56 28 0 | 0 0 8 8 0 0 | * * * N * * * x3o3o . o3o3o3o3*a ♦ 56 | 420 | 280 560 | 70 280 420 | 0 56 168 168 | 0 0 28 56 28 | 0 0 0 8 8 0 | * * * * N * * x3o . o3o3o3o3o3*a ♦ 28 | 168 | 56 280 | 0 70 280 | 0 0 56 168 | 0 0 0 28 56 | 0 0 0 0 8 8 | * * * * * N * x . o3o3o3o3o3o3*a ♦ 8 | 28 | 0 56 | 0 0 70 | 0 0 0 56 | 0 0 0 0 28 | 0 0 0 0 0 8 | * * * * * * N
or . . . . . . . . | N ♦ 56 | 336 | 560 420 | 560 1120 | 336 840 560 | 112 336 560 | 16 56 112 70 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x . . . . . . . & | 2 | 28N | 12 | 30 30 | 40 120 | 30 120 90 | 12 60 120 | 2 12 30 20 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x3o . . . . . . & | 3 | 3 | 112N | 5 5 | 10 30 | 10 40 30 | 5 25 50 | 1 6 15 10 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x3o3o . . . . . & ♦ 4 | 6 | 4 | 140N * | 4 4 | 6 12 6 | 4 12 16 | 1 4 7 4 x3o . . . . . o3*a ♦ 6 | 12 | 8 | * 70N | 0 8 | 0 12 12 | 0 8 24 | 0 2 8 6 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x3o3o3o . . . . & ♦ 5 | 10 | 10 | 5 0 | 112N * | 3 3 0 | 3 6 3 | 1 3 3 1 x3o3o . . . . o3*a & ♦ 10 | 30 | 30 | 5 5 | * 112N | 0 3 3 | 0 3 9 | 0 1 4 3 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x3o3o3o3o . . . & ♦ 6 | 15 | 20 | 15 0 | 6 0 | 56N * * | 2 2 0 | 1 2 1 0 x3o3o3o . . . o3*a & ♦ 15 | 60 | 80 | 30 15 | 6 6 | * 56N * | 0 2 2 | 0 1 2 1 x3o3o . . . o3o3*a ♦ 20 | 90 | 120 | 30 30 | 0 12 | * * 28N | 0 0 4 | 0 0 2 2 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x3o3o3o3o3o . . & ♦ 7 | 21 | 35 | 35 0 | 21 0 | 7 0 0 | 16N * * | 1 1 0 0 x3o3o3o3o . . o3*a & ♦ 21 | 105 | 175 | 105 35 | 42 21 | 7 7 0 | * 16N * | 0 1 1 0 x3o3o3o . . o3o3*a & ♦ 35 | 210 | 350 | 140 105 | 21 63 | 0 7 7 | * * 16N | 0 0 1 1 ---------------------+-----+-----+------+----------+-----------+-------------+-------------+------------- x3o3o3o3o3o3o . & ♦ 8 | 28 | 56 | 70 0 | 56 0 | 28 0 0 | 8 0 0 | 2N * * * x3o3o3o3o3o . o3*a & ♦ 28 | 168 | 336 | 280 70 | 168 56 | 56 28 0 | 8 8 0 | * 2N * * x3o3o3o3o . o3o3*a & ♦ 56 | 420 | 840 | 490 280 | 168 224 | 28 56 28 | 0 8 8 | * * 2N * x3o3o3o . o3o3o3*a ♦ 70 | 560 | 1120 | 560 420 | 112 336 | 0 56 56 | 0 0 16 | * * * N
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