Order-4-4 pentagonal honeycomb
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In the geometry of hyperbolic 3-space, the order-4-4 pentagonal 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-4-4 pentagonal honeycomb | |
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Type | Regular honeycomb |
Schläfli symbol | {5,4,4} {5,41,1} |
Coxeter diagram | |
Cells | {5,4} |
Faces | {5} |
Vertex figure | {4,4} |
Dual | {4,4,5} |
Coxeter group | [5,4,4] [5,41,1] |
Properties | Regular |