Order-6_square_tiling_honeycomb
In the geometry of hyperbolic 3-space, the order-4-5 square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4,5}. It has five square tiling {4,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many square tiling existing around each vertex in an order-5 square tiling vertex arrangement.
Order-4-5 square honeycomb | |
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Type | Regular honeycomb |
Schläfli symbols | {4,4,5} |
Coxeter diagrams | |
Cells | {4,4} |
Faces | {4} |
Edge figure | {5} |
Vertex figure | {4,5} |
Dual | {5,4,4} |
Coxeter group | [4,4,5] |
Properties | Regular |