Acronym | ... |
Name | hyperbolic s3s4o3o4o3o pentacomb |
Circumradius | sqrt[-(sqrt(5)-1)/10] = 0.351578 i |
Note that this hyper-compact hyperbolic tesselation not only uses hyperbolic tetracombs in the sense as infinite bollotera, but that its further, finite facet icopy well would be degenerate (then having zero height), when placed within euclidean space, however in here becomes a fully valide tile too.
Incidence matrix according to Dynkin symbol
s3s4o3o4o3o (N,M,K,L → ∞) demi( . . . . . . ) | NMKL ♦ 96 48 | 24 288 288 | 96 96 384 144 | 96 24 168 24 | 24 1 25 --------------------+------+---------------+---------------------+----------------------------+------------------------+------------ . s4o . . . | 2 | 48NMKL * | 0 2 6 | 1 3 6 6 | 3 3 6 2 | 3 1 2 sefa( s3s . . . . ) | 2 | * 24NMKL | 1 8 0 | 8 0 12 0 | 12 0 6 0 | 6 0 1 --------------------+------+---------------+---------------------+----------------------------+------------------------+------------ s3s . . . . | 3 | 0 3 | 8NMKL * * ♦ 8 0 0 0 | 12 0 0 0 | 6 0 0 sefa( s3s4o . . . ) | 3 | 1 2 | * 96NMKL * | 1 0 3 0 | 3 0 3 0 | 3 0 1 sefa( . s4o3o . . ) | 3 | 3 0 | * * 96NMKL | 0 1 1 2 | 1 2 2 1 | 2 1 1 --------------------+------+---------------+---------------------+----------------------------+------------------------+------------ s3s4o . . . ♦ 12 | 6 24 | 8 12 0 | 8NMKL * * * | 3 0 0 0 | 3 0 0 . s4o3o . . ♦ 4 | 6 0 | 0 0 4 | * 24NMKL * * | 1 2 0 0 | 2 1 0 sefa( s3s4o3o . . ) ♦ 4 | 3 3 | 0 3 1 | * * 96NMKL * | 1 0 2 0 | 2 0 1 sefa( . s4o3o4o . ) ♦ 6 | 12 0 | 0 0 8 | * * * 24NMKL | 0 1 1 1 | 1 1 1 --------------------+------+---------------+---------------------+----------------------------+------------------------+------------ s3s4o3o . . ♦ 96 | 144 288 | 96 288 96 | 24 24 96 0 | NMKL * * * | 2 0 0 . s4o3o4o . ♦ M | 6M 0 | 0 0 8M | 0 2M 0 M | * 24NKL * * | 1 1 0 sefa( s3s4o3o4o . ) ♦ 7 | 12 6 | 0 12 8 | 0 0 8 1 | * * 24NMKL * | 1 0 1 sefa( . s4o3o4o3o ) ♦ 24 | 96 0 | 0 0 96 | 0 0 0 24 | * * * NMKL | 0 1 1 --------------------+------+---------------+---------------------+----------------------------+------------------------+------------ s3s4o3o4o . ♦ 12MK | 72MK 72MK | 24MK 144MK 96MK | 12MK 24MK 96MK 12MK | MK 12K 12MK 0 | 2NL * * . s4o3o4o3o ♦ ML | 48ML 0 | 0 0 96ML | 0 24ML 0 24ML | 0 24L 0 ML | * NK * sefa( s3s4o3o4o3o ) ♦ 25 | 96 24 | 0 96 96 | 0 0 96 24 | 0 0 24 1 | * * NMKL starting figure: x3x4o3o4o3o
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