Cube have octahedral symmetry. The cube is a part of a sequence of rhombic polyhedra and tilings with ["n",3] Coxeter group symmetry. The cube can be seen as a rhombic hexahedron where the rhombi are squares. The cube is a square prism: As a trigonal trapezohedron, the cube is related to the hexagonal dihedral symmetry family. It is an element of 9 of 28 convex uniform honeycombs: It is also an element of five four-dimensional uniform polychora: The skeleton of the cube (the vertices and edges) form a graph, with 8 vertices, and 12 edges. It is a special case of
Truncated cube The truncated triangular trapezohedron is another polyhedron which can be formed from cube edge truncation. The "truncated cube", is second in a sequence of truncated hypercubes: In the mathematical field of graph theory, a truncated cubical graph is the graph of vertices and edges of the "truncated cube", one of the Archimedean solids. It has 24 vertices and 36 edges, and is a cubic Archimedean graph. Truncated cube In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices. If the truncated cube has