Order-5-3 square honeycomb
From Wikipedia, the free encyclopedia
In the geometry of hyperbolic 3-space, the order-5-3 square honeycomb or 4,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere.
Order-5-3 square honeycomb | |
---|---|
Type | Regular honeycomb |
Schläfli symbol | {4,5,3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Cells | {4,5} ![]() |
Faces | {4} |
Vertex figure | {5,3} |
Dual | {3,5,4} |
Coxeter group | [4,5,3] |
Properties | Regular |