Acronym | ... |
Name | hyperbolic x4x3o8o tesselation |
Circumradius | sqrt[-1/sqrt(8)] = 0.594604 i |
Confer |
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This hypercompact hyperbolic tesselation uses the order 8 triangle tiling in the sense of an infinite bollohedron as one of its cell types.
As these very cells are hemi-choral (have same curvature resp. intersect the sphere of infinity orthogonally) those could be replaced by mirror images of the remainder each. This transforms the hypercompact honeycomb back into a compact one, into lamina-trunc( x4x3o8o ).
Incidence matrix according to Dynkin symbol
x4x3o8o (N,M → ∞) . . . . | 6NM | 1 8 | 8 8 | 8 1 --------+-----+----------+----------+------- x . . . | 2 | 3NM * | 8 0 | 8 0 . x . . | 2 | * 24NM | 1 2 | 2 1 --------+-----+----------+----------+------- x4x . . | 8 | 4 4 | 6NM * | 2 0 . x3o . | 3 | 0 3 | * 16NM | 1 1 --------+-----+----------+----------+------- x4x3o . ♦ 24 | 12 24 | 6 8 | 2NM * . x3o8o ♦ 3M | 0 12M | 0 8M | * 2N
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