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.
Order-5 dodecahedral honeycomb 3-sphere, with 2 hemispherical cells. There are nine uniform honeycombs in the [5,3,5] Coxeter group family, including this regular form. Also the bitruncated form, t{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. This honeycomb is a part of a sequence of polychora and honeycombs with icosahedron vertex figures: This honeycomb is a part of a sequence of regular polytopes and honeycombs with dodecahedral cells: The rectified order-5 dodecahedral honeycomb, , has alternating icosahedron and icosidodecahedron cells, with a