Triangular tiling honeycomb

It is called paracompact because it has infinite cells and vertex figures, with all vertices as ideal points at infinity.

A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps.

By Coxeter diagram there are 3 copies of the first original mirror in the new fundamental domain: ↔ .

It can also be constructed as a cantic snub triangular tiling honeycomb, , a half-symmetry form with symmetry [3+,6,3].

It can also be constructed as a runcicantic snub triangular tiling honeycomb, , a half-symmetry form with symmetry [3+,6,3].

It is vertex-transitive, but not uniform, since it contains Johnson solid triangular cupola cells.