Acronym | ... |
Name | hyperbolic x4x4o5o tesselation |
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Circumradius | sqrt[(10 sqrt(5)-121)/190] = 0.720524 i |
This hypercompact hyperbolic tesselation uses tosquat and pesquat in the sense of an infinite holohedron and bollohedron respectively as its cell types.
This non-compact hyperbolic tesselation is of level 2, as it requires the deletion of any 2 nodes of its diagramm in order to get the remaining components are all finite or affine each. Accordingly it has a honeycomb inside the space, and sphere packing on the boundary, as can be seen in the above picture.
Incidence matrix according to Dynkin symbol
x4x4o5o (N,M,K,L → ∞) . . . . | 8NMK | 1 5 | 5 5 | 5 1 --------+------+--------------+--------------+----------- x . . . | 2 | 4NMKL * | 5 0 | 5 0 (gold) . x . . | 2 | * 20NMKL | 1 2 | 2 1 (silver) --------+------+--------------+--------------+----------- x4x . . | 8 | 4 4 | 5NMKL * | 2 0 . x4o . | 4 | 0 4 | * 10NMKL | 1 1 --------+------+--------------+--------------+----------- x4x4o . ♦ 4M | 2M 4M | M M | 10NKL * . x4o5o ♦ 4K | 0 10K | 0 5K | * 2NML
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