Acronym | ashexah |
Name | hyperbolic alternated order 4 hexagonal-tiling honeycomb |
Circumradius | 1/sqrt(-6) = 0.408248 i |
Vertex figure |
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Confer |
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This non-compact hyperbolic tesselation uses the euclidean tiling trat in the sense of an infinite horohedron as cell.
Incidence matrix according to Dynkin symbol
o4o3x3o3*b (N,M → ∞) . . . . | NM ♦ 24 | 24 12 | 6 8 -----------+----+------+---------+------ . . x . | 2 | 12NM | 2 1 | 1 2 -----------+----+------+---------+------ . o3x . | 3 | 3 | 8NM * | 1 1 . . x3o | 3 | 3 | * 4NM | 0 2 -----------+----+------+---------+------ o4o3x . ♦ 6 | 12 | 8 0 | NM * . o3x3o3*b ♦ M | 3M | M M | * 8N
o4o3o6s (N,M → ∞) demi( . . . . ) | NM ♦ 24 | 12 24 | 8 6 ----------------+----+------+---------+------ sefa( . . o6s ) | 2 | 12NM | 1 2 | 2 1 ----------------+----+------+---------+------ . . o6s | 3 | 3 | 4NM * | 2 0 sefa( . o3o6s ) | 3 | 3 | * 8NM | 1 1 ----------------+----+------+---------+------ . o3o6s ♦ M | 3M | M M | 8N * sefa( o4o3o6s ) ♦ 6 | 12 | 0 8 | * NM starting figure: o4o3o6x
s3s6o3o6*a (N,M,K,L,P → ∞) demi( . . . . ) | NMKLP ♦ 12 6 6 | 6 3 3 9 9 3 3 | 3 3 1 1 6 -------------------+-------+----------------------+----------------------------------------------+-------------------------- sefa( s3s . . ) | 2 | 6NMKLP * * | 1 0 0 1 1 0 0 | 1 1 0 0 1 sefa( s . . o6*a ) | 2 | * 3NMKLP * | 0 1 0 0 1 1 0 | 0 1 1 0 1 sefa( . s6o . ) | 2 | * * 3NMKLP | 0 0 1 1 0 0 1 | 1 0 0 1 1 -------------------+-------+----------------------+----------------------------------------------+-------------------------- s3s . . | 3 | 3 0 0 | 2NMKLP * * * * * * | 1 1 0 0 0 s . . o6*a | 3 | 0 3 0 | * NMKLP * * * * * | 0 1 1 0 0 . s6o . | 3 | 0 0 3 | * * NMKLP * * * * | 1 0 0 1 0 sefa( s3s6o . ) | 3 | 2 0 1 | * * * 3NMKLP * * * | 1 0 0 0 1 sefa( s3s . o6*a ) | 3 | 2 1 0 | * * * * 3NMKLP * * | 0 1 0 0 1 sefa( s . o3o6*a ) | 3 | 0 3 0 | * * * * * NMKLP * | 0 0 1 0 1 sefa( . s6o3o ) | 3 | 0 0 3 | * * * * * * NMKLP | 0 0 0 1 1 -------------------+-------+----------------------+----------------------------------------------+-------------------------- s3s6o . ♦ 3M | 6M 0 3M | 2M 0 M 3M 0 0 0 | NKLP * * * * s3s . o6*a ♦ 3K | 6K 3K 0 | 2K K 0 0 3K 0 0 | * NMLP * * * s . o3o6*a ♦ L | 0 3L 0 | 0 L 0 0 0 L 0 | * * NMKP * * . s6o3o ♦ P | 0 0 3P | 0 0 P 0 0 0 P | * * * NMKL * sefa( s3s6o3o6*a ) ♦ 6 | 6 3 3 | 0 0 0 3 3 1 1 | * * * * NMKLP starting figure: x3x6o3o6*a
equal 3-coloring of edges (N,M → ∞) 3NM | 8 8 8 | 24 4 4 4 | 6 8 verf: toe ----+----------------+------------------+------- 2 | 12NM * * | 2 1 0 0 | 1 2 r 2 | * 12NM * | 2 0 1 0 | 1 2 y 2 | * * 12NM | 2 0 0 1 | 1 2 b ----+----------------+------------------+------- 3 | 1 1 1 | 24NM * * * | 1 1 ryb 3 | 3 0 0 | * 4NM * * | 0 2 r 3 | 0 3 0 | * * 4NM * | 0 2 y 3 | 0 0 3 | * * * 4NM | 0 2 b ----+----------------+------------------+------- 6 | 4 4 4 | 8 0 0 0 | 3NM * oct 3M | 3M 3M 3M | 3M M M M | * 8N trat
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