Octahedral-hexagonal tiling honeycomb
In the geometry of hyperbolic 3-space, the octahedron-hexagonal tiling honeycomb is a paracompact uniform honeycomb, constructed from octahedron, hexagonal tiling, and trihexagonal tiling cells, in a rhombicuboctahedron vertex figure. It has a single-ring Coxeter diagram,, and is named by its two regular cells.
Symmetry
A lower symmetry form, index 6, of this honeycomb can be constructed with symmetry, represented by a trigonal trapezohedron fundamental domain, and a Coxeter diagram.
Cyclotruncated octahedral-hexagonal tiling honeycomb
The cyclotruncated octahedral-hexagonal tiling honeycomb is a compact uniform honeycomb, constructed from hexagonal tiling, cube, and truncated octahedron cells, in a triangular antiprism vertex figure. It has a Coxeter diagram.
Symmetry
A radial subgroup symmetry, index 6, of this honeycomb can be constructed with, represented by a trigonal trapezohedron fundamental domain, and Coxeter diagram.