Acronym | ... |
Name | hyperbolic x4x3x8o tesselation |
Circumradius | sqrt[-(4+7 sqrt(2))]/2 = 1.864101 i |
This hypercompact hyperbolic tesselation uses the truncated order 8 triangle tiling in the sense of an infinite bollohedron as one of its cell types.
Incidence matrix according to Dynkin symbol
x4x3x8o (N,M → ∞) . . . . | 48NM | 1 1 2 | 1 2 2 1 | 2 1 1 --------+------+----------------+-------------------+----------- x . . . | 2 | 24NM * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 24NM * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 48NM | 0 1 1 1 | 1 1 1 --------+------+----------------+-------------------+----------- x4x . . | 8 | 4 4 0 | 6NM * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 24NM * * | 1 1 0 . x3x . | 6 | 0 3 3 | * * 16NM * | 1 0 1 . . x8o | 8 | 0 0 8 | * * * 6NM | 0 1 1 --------+------+----------------+-------------------+----------- x4x3x . ♦ 48 | 24 24 24 | 6 12 8 0 | 2NM * * x . x8o ♦ 16 | 8 0 16 | 0 8 0 2 | * 3NM * . x3x8o ♦ 24M | 0 12M 24M | 0 0 8M 3M | * * 2N
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