cellulation is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of hexagonal prisms and triangular prisms in a ratio of 1:8. It is constructed from a snub trihexagonal tiling extruded into prisms. It is one of 28 convex uniform honeycombs. Snub trihexagonal antiprismatic honeycomb 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. Elongated triangular prismatic honeycomb The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of cubes and triangular prisms in a ratio of 1:2. It is constructed from an elongated triangular tiling extruded into prisms. It is one of 28 convex uniform honeycombs. Gyrated triangular prismatic honeycomb The gyrated triangular prismatic honeycomb or parasquare fastigial cellulation is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of triangular prisms. It is vertex-uniform with 12 triangular prisms per vertex. It can be seen as parallel planes of square tiling with alternating offsets caused by layers of paired triangular prisms. The prisms in each layer are rotated by a right angle to those in the next layer. It is one of 28 convex uniform honeycombs. 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. Gyroelongated triangular prismatic honeycomb The gyroelongated triangular prismatic honeycomb or elongated parasquare fastigial cellulation is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of cubes and triangular prisms in a ratio of 1:2. It is created by alternating layers of cubes and triangular prisms, with the prisms alternating in orientation by 90 degrees. It is related to the elongated triangular prismatic honeycomb which has the triangular prisms with the same orientation. This is related to a space-filling polyhedron, elongated gyrobifastigium, where cube and two opposite triangular prisms are augmented together as a single polyhedron: References (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs) Norman Johnson Uniform Polytopes'',