Order-6 dodecahedral honeycomb

It is paracompact because it has vertex figures composed of an infinite number of faces, with all vertices as ideal points at infinity.

It has Schläfli symbol {5,3,6}, with six ideal dodecahedral cells surrounding each edge of the honeycomb.

A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps.

A half symmetry construction exists as with alternately colored dodecahedral cells.

The cantellated order-6 dodecahedral honeycomb, t0,2{5,3,6}, has rhombicosidodecahedron, trihexagonal tiling, and hexagonal prism cells, with a wedge vertex figure.