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#order-4_octahedral_honeycomb

Order-4 octahedral honeycomb

The order-4 octahedral honeycomb is a regular paracompact honeycomb in hyperbolic 3-space. It is paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. Given by Schläfli symbol {3,4,4}, it has four ideal octahedra around each edge, and infinite octahedra around each vertex in a square tiling vertex figure.

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Order-4 octahedral honeycomb Square tiling honeycomb Tetrahedral-octahedral honeycomb Order-5 octahedral honeycomb Order-4 dodecahedral honeycomb Order-4 hexagonal tiling honeycomb 16-cell Cubic-octahedral honeycomb Order-4 square tiling honeycomb List of mathematical shapes
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