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#order-4_dodecahedral_honeycomb

Order-4 dodecahedral honeycomb

Regular tiling of hyperbolic 3-space

In hyperbolic geometry, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations of hyperbolic 3-space. With Schläfli symbol {5,3,4}, it has four dodecahedra around each edge, and 8 dodecahedra around each vertex in an octahedral arrangement. Its vertices are constructed from 3 orthogonal axes. Its dual is the order-5 cubic honeycomb.

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Order-4 dodecahedral honeycomb Order-5 dodecahedral honeycomb Order-5 cubic honeycomb Order-6 dodecahedral honeycomb Order-7 dodecahedral honeycomb List of mathematical shapes 16-cell Honeycomb (geometry) Order-4 hexagonal tiling honeycomb List of polygons, polyhedra and polytopes
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