Vertex arrangement
Set of points described by relative position in space / From Wikipedia, the free encyclopedia
For the local description of faces around a vertex of a polyhedron or tiling, see vertex figure.
In geometry, a vertex arrangement is a set of points in space described by their relative positions. They can be described by their use in polytopes.
For example, a square vertex arrangement is understood to mean four points in a plane, equal distance and angles from a center point.
Two polytopes share the same vertex arrangement if they share the same 0-skeleton.
A group of polytopes that shares a vertex arrangement is called an army.