Order-5 120-cell honeycomb


In the geometry of hyperbolic 4-space, the order-5 120-cell honeycomb is one of five compact regular space-filling tessellations. With Schläfli symbol, it has five 120-cells around each face. It is self-dual. It also has 600 120-cells around each vertex.

Related honeycombs

It is related to the 120-cell honeycomb, and order-4 120-cell honeycomb. It is analogous to the order-5 dodecahedral honeycomb and order-5 pentagonal tiling.

Birectified order-5 120-cell honeycomb

The birectified order-5 120-cell honeycomb constructed by all rectified 600-cells, with octahedron and icosahedron cells, and triangle faces with a 5-5 duoprism vertex figure and has extended symmetry 5,3,3,5.