geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off. Take some corner or vertex of a polyhedron...

be present in graph theory. The vertex figure of a vertex in a polyhedron is analogous to the neighborhood of a vertex in a graph. Node (computer science)...

used in rendering by a vertex shader, part of the vertex pipeline. Vertex arrangement Vertex figure Weisstein, Eric W. "Vertex". MathWorld. "Vertices...

regular vertex figure {q}. A vertex figure (of a polyhedron) is a polygon, seen by connecting those vertices which are one edge away from a given vertex. For...

In geometry, a vertex configuration is a shorthand notation for representing the vertex figure[dubious – discuss] of a polyhedron or tiling as the sequence...

cells. It has 4 cubes around every edge, and 8 cubes around each vertex. Its vertex figure is a regular octahedron. It is a self-dual tessellation with Schläfli...

consisting of tetrahedra and octahedra (as triangular antiprisms). Its vertex figure is an order-3 truncated triakis tetrahedron. This honeycomb is the dual...

5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells. It is also known...

The vertex figure at a given vertex V is the (n−1)-section Fn/V, where Fn is the greatest face. For example, in the triangle abc, the vertex figure at...

{ }4, with symmetry order 16. Since each vertex of a tesseract is adjacent to four edges, the vertex figure of the tesseract is a regular tetrahedron...