Arthur Cayley formula ( regular nonconvex polyhedra)

Description

In geometry, the density of a polytope represents the number of windings of a polytope, particularly a uniform or regular polytope, around its center. Vertex figure is the figure exposed when a corner of a polyhedron or polytope is sliced off. For convex polyhedra the densities are equal to 1.

Related formulas

Variables

DDensity ( number of windings) (dimensionless)
dvVertex figure density (dimensionless)
VNumber of vertices (corners) (dimensionless)
ENumber of edges (dimensionless)
dsFace density (dimensionless)
FNumber of faces (dimensionless)