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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...

ways, one of which is the graph known as the cubical graph. It can be constructed by using the Cartesian product of graphs. The cube was discovered in...

cube" ("Archimedean solid") at MathWorld. Weisstein, Eric W. "Snub cubical graph". MathWorld. Klitzing, Richard. "3D convex uniform polyhedra s3s4s -...

regular 24-cell. There are two degrees of truncations, including a bitruncation. The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional...

is a cube. Two of the truncated cube cells project onto a truncated cube inscribed in the cubical envelope. The other 6 truncated cubes project onto the...

various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...

field of graph theory, an Archimedean graph is a graph that forms the skeleton of one of the Archimedean solids. There are 13 Archimedean graphs, and all...

the truncated cube cells project to a truncated cube in the center of the projection envelope. Six octagonal prisms connect this central truncated cube...

In the mathematical field of graph theory, LCF notation or LCF code is a notation devised by Joshua Lederberg, and extended by H. S. M. Coxeter and Robert...

Crystallography – Scientific study of crystal structures Laves graph – Periodic spatial graph Triakis truncated tetrahedral honeycomb – Space-filling tessellation...

solid) Cuboctahedron 14 24 12 Rhombic dodecahedron Truncated cube 14 36 24 Triakis octahedron Truncated octahedron 14 36 24 Tetrakis hexahedron Rhombicuboctahedron...

triangular antiprisms (UC22 and UC23, with p = 3 and q = 1). Truncated figures The truncated tetrahedron is the simplest Archimedean solid, made of four...

his solids come down to us through Pappus. Both cubical dice and 14-sided dice in the shape of a truncated octahedron in China have been dated back as early...

{2}})\right)} The 8 truncated cuboctahedra are joined to each other via their octagonal faces, in an arrangement corresponding to the 8 cubical cells of the...

others contain invisible interior chords. The 24-cell's cubical vertex figure has been truncated to a tetrahedral vertex figure (see Kepler's drawing)....

connected 3-regular (cubic) simple graphs are listed for small vertex numbers. The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is...

adjacency matrix of the vertices representing the polyhedral graph of the unit-radius 120-cell, the graph diameter is 15, connecting each vertex to its coordinate-negation...

3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry: 3-manifolds, Right-angled Artin Groups, and Cubical Geometry. American Mathematical Soc....

visualizations can be found in the external links below. The Coxeter-Dynkin diagram graphs are also given below the Schläfli symbol. The Schläfli–Hess 4-polytopes...

smaller edges, so each square face is divided into 4 smaller squares, each cubical cell is divided into 8 smaller cubes, and the entire 4-cube is divided...