Triangular tiling honeycomb truncated hexagonal tiling cells, with a tetrahedral vertex figure. The cantellated triangular tiling honeycomb, , has truncated hexagonal tiling and triangular prism cells, with a triangular prism vertex figure. It can also be constructed as a half-symmetry form, cantic snub triangular tiling honeycomb, , symmetry [3,6,3]. The cantitruncated triangular tiling honeycomb, , has rhombitrihexagonal tiling and hexagonal prism cells, with a tetrahedron vertex figure. The runcinated triangular tiling honeycomb, , has hexagonal tiling and triangular prism cells, with a hexagonal antiprism vertex figure. The runcitruncated triangular tiling honeycomb, , has hexagonal tiling, rhombitrihexagonal tiling, triangular prism, and dodecagonal prism cells.
Order-5 cubic honeycomb form: It is in a sequence of polychora and honeycomb with icosahedron vertex figures: It in a sequence of regular polychora and honeycombs with cubic cells. The first polytope in the sequence is the tesseract, and the second is the Euclidean cubic honeycomb. The rectified order-5 cubic honeycomb, , has alternating icosahedron and cuboctahedron cells, with a pentagonal prism vertex figure. There are four rectified compact regular honeycombs: The truncated order-5 cubic honeycomb, , has truncated cube and icosahedron cells, with a pentagonal pyramid vertex figure. It can be seen as analogous to the 2D hyperbolic truncated order-5 square tiling,