| Acronym | tisquah |
| Name | hyperbolic trancated square-tiling honeycomb |
| Circumradius | sqrt[-(4+3 sqrt(2))/2] = 2.030104 i |
This non-compact hyperbolic tesselation uses tosquats in the sense of an infinite horohedron is its cells.
Incidence matrix according to Dynkin symbol
o3o4x4x (N,M → ∞) . . . . | 8NM | 3 1 | 3 3 | 1 3 --------+-----+----------+---------+------ . . x . | 2 | 12NM * | 2 1 | 1 2 . . . x | 2 | * 4NM | 0 3 | 0 3 --------+-----+----------+---------+------ . o4x . | 4 | 4 0 | 6NM * | 1 1 . . x4x | 8 | 4 4 | * 3NM | 0 2 --------+-----+----------+---------+------ o3o4x . ♦ 8 | 12 0 | 6 0 | NM * . o4x4x ♦ 4M | 4M 2M | M M | * 6N
x4x4x4o (N,M,K → ∞) . . . . | 8NMK | 1 1 2 | 1 2 2 1 | 2 1 1 --------+------+----------------+--------------------+------------ x . . . | 2 | 4NMK * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 4NMK * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 8NMK | 0 1 1 1 | 1 1 1 --------+------+----------------+--------------------+------------ x4x . . | 8 | 4 4 0 | NMK * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 4NMK * * | 1 1 0 . x4x . | 8 | 0 4 4 | * * 2NMK * | 1 0 1 . . x4o | 4 | 0 0 4 | * * * 2NMK | 0 1 1 --------+------+----------------+--------------------+------------ x4x4x . ♦ 8M | 4M 4M 4M | M 2M M 0 | 2NK * * x . x4o ♦ 8 | 4 0 8 | 0 4 0 2 | * NMK * . x4x4o ♦ 4K | 0 2K 4K | 0 0 K K | * * 2NM
© 2004-2024 | top of page |