Dodecahedral-icosahedral honeycomb square antiprism vertex figure. It has a Coxeter diagram . The cyclotruncated icosahedral-dodecahedral honeycomb is a compact uniform honeycomb, constructed from dodecahedron, truncated icosahedron cells, in a triangular antiprism vertex figure. It has a Coxeter diagram . It can be see as somewhat analogous to the pentahexagonal tiling with pentagonal and hexagonal faces: The truncated dodecahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from truncated icosahedron, truncated dodecahedron, rhombicosidodecahedron, truncated icosidodecahedron cells, in a trapezoidal pyramid vertex figure. It has a Coxeter diagram . The omnitruncated dodecahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from truncated icosidodecahedron cells, in a
Cubic-octahedral honeycomb There are 5 related uniform honeycombs generated within the same family, generated with 2 or more rings of the Coxeter group : , , , , . The rectified cubic-octahedral honeycomb is a compact uniform honeycomb, constructed from cuboctahedron, and rhombicuboctahedron cells, in a cuboid vertex figure. It has a Coxeter diagram . The cyclotruncated cubic-octahedral honeycomb is a compact uniform honeycomb, constructed from truncated cube, octahedron cells, in a square antiprism vertex figure. It has a Coxeter diagram . It can be seen as somewhat analogous to the trioctagonal tiling with truncated square and triangle facets: The cyclotruncated octahedral-cubic