It is constructed from a truncated hexagonal tiling extruded into prisms.
It is constructed from a truncated trihexagonal tiling extruded into prisms.
It is constructed from a snub trihexagonal tiling extruded into prisms.
A snub trihexagonal antiprismatic honeycomb can be constructed by alternation of the truncated trihexagonal prismatic honeycomb, although it can not be made uniform, but it can be given Coxeter diagram: and has symmetry [6,3,2,∞]+.
It makes hexagonal antiprisms from the dodecagonal prisms, octahedra (as triangular antiprisms) from the hexagonal prisms, tetrahedra (as tetragonal disphenoids) from the cubes, and two tetrahedra from the triangular bipyramids.
It is constructed from an elongated triangular tiling extruded into prisms.
It can be seen as parallel planes of square tiling with alternating offsets caused by layers of paired triangular prisms.
Pairs of triangular prisms can be combined to create gyrobifastigium cells.
The resulting honeycomb is closely related but not equivalent: it has the same vertices and edges, but different two-dimensional faces and three-dimensional cells.