Order-3-4_octagonal_honeycomb
In the geometry of hyperbolic 3-space, the order-3-4 heptagonal honeycomb or 7,3,4 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere.
Order-3-4 heptagonal honeycomb | |
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Type | Regular honeycomb |
Schläfli symbol | {7,3,4} |
Coxeter diagram | = |
Cells | {7,3} |
Faces | heptagon {7} |
Vertex figure | octahedron {3,4} |
Dual | {4,3,7} |
Coxeter group | [7,3,4] |
Properties | Regular |