Cyclotruncated 5-simplex honeycomb

It is composed of 5-simplex, truncated 5-simplex, and bitruncated 5-simplex facets in a ratio of 1:1:1.

Its vertex figure is an elongated 5-cell antiprism, two parallel 5-cells in dual configurations, connected by 10 tetrahedral pyramids (elongated 5-cells) from the cell of one side to a point on the other.

It can be constructed as six sets of parallel hyperplanes that divide space.

Coxeter group allows for automorphisms that map diagram nodes (mirrors) on to each other.

So the various 12 honeycombs represent higher symmetries based on the ring arrangement symmetry in the diagrams: Regular and uniform honeycombs in 5-space: