Delone complex of lattice A5
- related tesselations:
- Voronoi complex of lattice A5*
links
| Acronym | cyxh |
| Name |
cyclohexateric honeycomb, Delone complex of lattice A5 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3o3o3o3*a (N → ∞) . . . . . . | N ♦ 30 | 60 60 | 60 90 60 | 30 60 60 30 | 6 15 20 15 6 ---------------+----+-----+---------+-------------+-------------+------------- x . . . . . | 2 | 15N | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1 ---------------+----+-----+---------+-------------+-------------+------------- x3o . . . . | 3 | 3 | 20N * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0 x . . . . o3*a | 3 | 3 | * 20N | 0 3 3 | 0 3 6 3 | 0 1 3 3 1 ---------------+----+-----+---------+-------------+-------------+------------- x3o3o . . . ♦ 4 | 6 | 4 0 | 15N * * | 2 2 0 0 | 1 2 1 0 0 x3o . . . o3*a ♦ 6 | 12 | 4 4 | * 15N * | 0 2 2 0 | 0 1 2 1 0 x . . . o3o3*a ♦ 4 | 6 | 0 4 | * * 15N | 0 0 2 2 | 0 0 1 2 1 ---------------+----+-----+---------+-------------+-------------+------------- x3o3o3o . . ♦ 5 | 10 | 10 0 | 5 0 0 | 6N * * * | 1 1 0 0 0 x3o3o . . o3*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 6N * * | 0 1 1 0 0 x3o . . o3o3*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 6N * | 0 0 1 1 0 x . . o3o3o3*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 6N | 0 0 0 1 1 ---------------+----+-----+---------+-------------+-------------+------------- x3o3o3o3o . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | N * * * * x3o3o3o . o3*a ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | * N * * * x3o3o . o3o3*a ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * * N * * x3o . o3o3o3*a ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * * N * x . o3o3o3o3*a ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * * N
or . . . . . . | N ♦ 30 | 120 | 120 90 | 60 120 | 12 30 20 ------------------+----+-----+-----+---------+---------+--------- x . . . . . | 2 | 15N | 8 | 12 12 | 8 24 | 2 8 6 ------------------+----+-----+-----+---------+---------+--------- x3o . . . . & | 3 | 3 | 40N | 3 3 | 3 9 | 1 4 3 ------------------+----+-----+-----+---------+---------+--------- x3o3o . . . & ♦ 4 | 6 | 4 | 30N * | 2 2 | 1 2 1 x3o . . . o3*a & ♦ 6 | 12 | 8 | * 15N | 0 4 | 0 2 2 ------------------+----+-----+-----+---------+---------+--------- x3o3o3o . . & ♦ 5 | 10 | 10 | 5 0 | 12N * | 1 1 0 x3o3o . . o3*a & ♦ 10 | 30 | 30 | 5 5 | * 12N | 0 1 1 ------------------+----+-----+-----+---------+---------+--------- x3o3o3o3o . & ♦ 6 | 15 | 20 | 15 0 | 6 0 | 2N * * x3o3o3o . o3*a & ♦ 15 | 60 | 80 | 30 15 | 6 6 | * 2N * x3o3o . o3o3*a ♦ 20 | 90 | 120 | 30 30 | 0 12 | * * N
:xoooo:3:oxooo:3:ooxoo:3:oooxo:3:oooox:3*a&##x (N → ∞) → all heights = sqrt(3/5) = 0.774597 o.... 3 o.... 3 o.... 3 o.... 3 o.... 3*a & | N ♦ 20 10 | 30 30 30 30 | 20 30 20 60 40 40 | 5 10 10 5 50 50 25 25 | 15 20 15 6 6 -----------------------------------------------+----+--------+-----------------+----------------------+-----------------------+------------- x.... ..... ..... ..... ..... & | 2 | 10N * | 3 3 1 1 | 3 6 3 6 3 3 | 1 3 3 1 9 9 3 3 | 4 6 4 1 1 oo... 3 oo... 3 oo... 3 oo... 3 oo... 3*a&#x & | 2 | * 5N | 0 0 4 4 | 0 0 0 12 6 6 | 0 0 0 0 12 12 4 4 | 4 6 4 1 1 -----------------------------------------------+----+--------+-----------------+----------------------+-----------------------+------------- x.... 3 o.... ..... ..... ..... & | 3 | 3 0 | 10N * * * | 2 2 0 1 0 1 | 1 2 1 0 4 2 0 2 | 3 3 1 0 1 x.... ..... ..... ..... o.... 3*a & | 3 | 3 0 | * 10N * * | 0 2 2 1 1 0 | 0 1 2 1 2 4 2 0 | 1 3 3 1 0 xo... ..... ..... ..... ..... &#x & | 3 | 1 2 | * * 10N * | 0 0 0 3 3 0 | 0 0 0 0 3 6 3 0 | 1 3 3 1 0 ..... ox... ..... ..... ..... &#x & | 3 | 1 2 | * * * 10N | 0 0 0 3 0 3 | 0 0 0 0 6 3 0 3 | 3 3 1 0 1 -----------------------------------------------+----+--------+-----------------+----------------------+-----------------------+------------- x.... 3 o.... 3 o.... ..... ..... & ♦ 4 | 6 0 | 4 0 0 0 | 5N * * * * * | 1 1 0 0 1 0 0 1 | 2 1 0 0 1 x.... 3 o.... ..... ..... o.... 3*a & ♦ 6 | 12 0 | 4 4 0 0 | * 5N * * * * | 0 1 1 0 1 1 0 0 | 1 2 1 0 0 x.... ..... ..... o.... 3 o.... 3*a & ♦ 4 | 6 0 | 0 4 0 0 | * * 5N * * * | 0 0 1 1 0 1 1 0 | 0 1 2 1 0 xo... 3 ox... ..... ..... ..... &#x & ♦ 6 | 6 6 | 1 1 3 3 | * * * 10N * * | 0 0 0 0 2 2 0 0 | 1 2 1 0 0 xo... ..... ..... ..... oo... 3*a&#x & ♦ 4 | 3 3 | 0 1 3 0 | * * * * 10N * | 0 0 0 0 0 2 2 0 | 0 1 2 1 0 ..... ox... 3 oo... ..... ..... &#x & ♦ 4 | 3 3 | 1 0 0 3 | * * * * * 10N | 0 0 0 0 2 0 0 2 | 2 1 0 0 1 -----------------------------------------------+----+--------+-----------------+----------------------+-----------------------+------------- x.... 3 o.... 3 o.... 3 o.... ..... & ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | N * * * * * * * | 1 0 0 0 1 x.... 3 o.... 3 o.... ..... o.... 3*a & ♦ 10 | 30 0 | 20 10 0 0 | 5 5 0 0 0 0 | * N * * * * * * | 1 1 0 0 0 x.... 3 o.... ..... o.... 3 o.... 3*a & ♦ 10 | 30 0 | 10 20 0 0 | 0 5 5 0 0 0 | * * N * * * * * | 0 1 1 0 0 x.... ..... o.... 3 o.... 3 o.... 3*a & ♦ 5 | 10 0 | 0 10 0 0 | 0 0 5 0 0 0 | * * * N * * * * | 0 0 1 1 0 xo... 3 ox... 3 oo... ..... ..... &#x & ♦ 10 | 18 12 | 8 4 6 12 | 1 1 0 4 0 4 | * * * * 5N * * * | 1 1 0 0 0 xo... 3 ox... ..... ..... oo... 3*a&#x & ♦ 10 | 18 12 | 4 8 12 6 | 0 1 1 4 4 0 | * * * * * 5N * * | 0 1 1 0 0 xo... ..... ..... oo... 3 oo... 3*a&#x & ♦ 5 | 6 4 | 0 4 6 0 | 0 0 1 0 4 0 | * * * * * * 5N * | 0 0 1 1 0 ..... ox... 3 oo... 3 oo... ..... &#x & ♦ 5 | 6 4 | 4 0 0 6 | 1 0 0 0 0 4 | * * * * * * * 5N | 1 0 0 0 1 -----------------------------------------------+----+--------+-----------------+----------------------+-----------------------+------------- xo... 3 ox... 3 oo... 3 oo... ..... &#x & ♦ 15 | 40 20 | 30 10 10 30 | 10 5 0 10 0 20 | 1 1 0 0 5 0 0 5 | N * * * * xo... 3 ox... 3 oo... ..... oo... 3*a&#x & ♦ 20 | 60 30 | 30 30 30 30 | 5 10 5 20 10 10 | 0 1 1 0 5 5 0 0 | * N * * * xo... 3 ox... ..... oo... 3 oo... 3*a&#x & ♦ 15 | 40 20 | 10 30 30 10 | 0 5 10 10 20 0 | 0 0 1 1 0 5 5 0 | * * N * * xo... ..... oo... 3 oo... 3 oo... 3*a&#x & ♦ 6 | 10 5 | 0 10 10 0 | 0 0 5 0 10 0 | 0 0 0 1 0 0 5 0 | * * * N * ..... ox... 3 oo... 3 oo... 3 oo... &#x & ♦ 6 | 10 5 | 10 0 0 10 | 5 0 0 0 0 10 | 1 0 0 0 0 0 0 5 | * * * * N
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