Triangular tiling honeycomb The omnitruncated triangular tiling honeycomb, , has truncated trihexagonal tiling and hexagonal prism cells, with a tetrahedron vertex figure. The runcisnub triangular tiling honeycomb, , has trihexagonal tiling, triangular tiling, triangular prism, and triangular cupola cells. It is vertex-transitive, but not uniform, since it contains Johnson solid triangular cupola cells. Triangular tiling honeycomb The triangular tiling honeycomb is one of 11 paracompact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. It is called "paracompact" because it has infinite cells and vertex figures, with all vertices as ideal points at infinity. It has Schläfli symbol {3,6,3}, being composed of triangular tiling
2 22 honeycomb types of cells: octahedron, 0, and tetrahedron, 0. The 2 honeycomb, is fourth in a dimensional series of uniform polytopes, expressed by Coxeter as k series. The final is a paracompact hyperbolic honeycomb, 3. Each progressive uniform polytope is constructed from the previous as its vertex figure. The 2 honeycomb is third in another dimensional series 2. 2 22 honeycomb In geometry, the 2 honeycomb is a uniform tessellation of the six-dimensional Euclidean space. It can be represented by the Schläfli symbol {3,3,3}. It is constructed from 2 facets and has a 1 vertex figure, with 54 2 polytopes around