Order-5 Dodecahedral Honeycomb - Related Constructions

Related Constructions

There is another honeycomb in hyperbolic 3-space called the order-4 dodecahedral honeycomb which has only four dodecahedra per edge. These honeycombs are also related to the 120-cell which can be considered as a honeycomb in positively-curved space (the surface of a 4 dimensional sphere), with three dodecahedra on each edge.

There are nine uniform honeycombs in the Coxeter group family, including this regular form. Also the bitruncated form, t_1,2{5,3,5}, of this honeycomb has all truncated icosahedron cells.

The Seifert–Weber space is a compact manifold that can be formed as a quotient space of the order-5 dodecahedral honeycomb.