The truncated alternated cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. Image File history File links Truncated_alternated_cubic_honeycomb. ... In mathematics, the Schläfli symbol is a simple notation that gives a summary of some important properties of a particular regular polytope. ... In geometry, a convex uniform honeycomb is a uniform space-filling tessellation in three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells. ... It has been suggested that Vertex/Face/Edge relation in a convex polyhedron be merged into this article or section. ... The symmetry group of an object (e. ... In geometry, a polyhedron (or tiling) is vertex-uniform if all its vertices are the same, that is, if each vertex is surrounded by the same faces, in the same order. ... A tessellated plane seen in street pavement. ... In geometry, a honeycomb is a name for a space-filling tessellation, just as a tiling is a tessellation of a plane or 2-dimensional surface. ...