= In four-dimensional Euclidean geometry, the bitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
It is also called a cantic quarter tesseractic honeycomb from its q2{4,3,3,4} construction.
Two alternations (13) and (17), and the quarter tesseractic (2) are repeated in other families.
Coxeter group, all repeated in other families by extended symmetry, seen in the graph symmetry of rings in the Coxeter–Dynkin diagrams.
The ten permutations are listed with its highest extended symmetry relation: Regular and uniform honeycombs in 4-space: