# 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

D | Density ( number of windings) (dimensionless) |

d_{v} | Vertex figure density (dimensionless) |

V | Number of vertices (corners) (dimensionless) |

E | Number of edges (dimensionless) |

d_{s} | Face density (dimensionless) |

F | Number of faces (dimensionless) |