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 formulasVariables
D | Density ( number of windings) (dimensionless) |
dv | Vertex figure density (dimensionless) |
V | Number of vertices (corners) (dimensionless) |
E | Number of edges (dimensionless) |
ds | Face density (dimensionless) |
F | Number of faces (dimensionless) |