# Euler–Poincare characteristic( nonconvex polyhedra )

## Description

n mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space’s shape or structure regardless of the way it is bent.Any convex polyhedron’s surface has Euler characteristic equal to 2.

Related formulas## Variables

x | Euler–Poincaré characteristic (dimensionless) |

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

E | Number of edges (dimensionless) |

F | Number of faces (dimensionless) |