Dodecahedral-icosahedral honeycomb

In the geometry of hyperbolic 3-space, the dodecahedral-icosahedral honeycomb is a uniform honeycomb, constructed from dodecahedron, icosahedron, and icosidodecahedron cells, in a rhombicosidodecahedron vertex figure.

Images
Wide-angle perspective views:

Related honeycombs
There are 5 related uniform honeycombs generated within the same family, generated with 2 or more rings of the Coxeter group :, , , ,.

Rectified dodecahedral-icosahedral honeycomb
The rectified dodecahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from icosidodecahedron and rhombicosidodecahedron cells, in a cuboid vertex figure. It has a Coxeter diagram.


 * Perspective view from center of rhombicosidodecahedron

Cyclotruncated dodecahedral-icosahedral honeycomb
The cyclotruncated dodecahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from truncated dodecahedron and icosahedron cells, in a pentagonal antiprism vertex figure. It has a Coxeter diagram.


 * Perspective view from center of icosahedron

Cyclotruncated icosahedral-dodecahedral honeycomb
The cyclotruncated icosahedral-dodecahedral honeycomb is a compact uniform honeycomb, constructed from dodecahedron and truncated icosahedron cells, in a triangular antiprism vertex figure. It has a Coxeter diagram.


 * Perspective view from center of dodecahedron

It can be seen as somewhat analogous to the pentahexagonal tiling, which has pentagonal and hexagonal faces:
 * H2 tiling 355-5.png

Truncated dodecahedral-icosahedral honeycomb
The truncated dodecahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from truncated icosahedron, truncated dodecahedron, rhombicosidodecahedron, and truncated icosidodecahedron cells, in a trapezoidal pyramid vertex figure. It has a Coxeter diagram.


 * Perspective view from center of truncated icosahedron

Omnitruncated dodecahedral-icosahedral honeycomb
The omnitruncated dodecahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from truncated icosidodecahedron cells, in a rhombic disphenoid vertex figure. It has a Coxeter diagram.


 * Perspective view from center of truncated icosidodecahedron