Hexagonal tiling honeycomb tetrahedron vertex figure. The runcinated hexagonal tiling honeycomb, t{6,3,3}, has tetrahedron, rhombitrihexagonal tiling hexagonal prism, triangular prism cells, with a octahedron vertex figure. The runcitruncated hexagonal tiling honeycomb, t{6,3,3}, has cuboctahedron, Triangular prism, Dodecagonal prism, and truncated hexagonal tiling cells, with a quad-pyramid vertex figure. The runcicantellated hexagonal tiling honeycomb or runcitruncated order-6 tetrahedral honeycomb, t{6,3,3}, has truncated tetrahedron, hexagonal prism, hexagonal prism, and rhombitrihexagonal tiling cells, with a quad-pyramid vertex figure. The omnitruncated hexagonal tiling honeycomb or omnitruncated order-6 tetrahedral honeycomb, t{6,3,3}, has truncated octahedron, hexagonal prism, dodecagonal prism, and truncated trihexagonal tiling cells, with a quad-pyramid vertex figure.
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