In seven-dimensional Euclidean geometry, the cyclotruncated 7-simplex honeycomb is a space-filling tessellation (or honeycomb).
The tessellation fills space by 7-simplex, truncated 7-simplex, bitruncated 7-simplex, and tritruncated 7-simplex facets.
These facet types occur in proportions of 1:1:1:1 respectively in the whole honeycomb.
It can be constructed by eight sets of parallel hyperplanes that divide space.
Coxeter group, grouped by their extended symmetry of rings within the regular octagon diagram: