Order-6 dodecahedral honeycomb are on the ideal surface. It is one of 15 regular hyperbolic honeycombs in 3-space, 11 of which like this one are paracompact, with infinite cells or vertex figures. There are 15 uniform honeycombs in the [5,3,6] Coxeter group family, including this regular form and its regular dual, order-5 hexagonal tiling honeycomb, {6,3,5}. This honeycomb is a part of a sequence of polychora and honeycombs with triangular tiling vertex figures: This honeycomb is a part of a sequence of regular polytopes and honeycombs with dodecahedral cells: The rectified order-6 dodecahedral honeycomb, t{5,3,6} has icosidodecahedron and triangular tiling cells connected in
Icosahedral honeycomb part of a sequence of regular polychora and honeycombs {3,"p",3}: It a part of a sequence of regular polychora and honeycombs {"p",5,"p"}: There are nine uniform honeycombs in the [3,5,3] Coxeter group family, including this regular form as well as the bitruncated form, t{3,5,3}, , also called "truncated dodecahedral honeycomb", each of whose cells are truncated dodecahedra. The rectified icosahedral honeycomb, t{3,5,3}, , has alternating dodecahedron and icosidodecahedron cells, with a triangular prism vertex figure: There are four rectified compact regular honeycombs: The truncated icosahedral honeycomb, t{3,5,3}, , has alternating dodecahedron and truncated icosahedron cells, with a triangular pyramid vertex