Polyhedral Euler formula
The number of vertices, edges and faces of a convex polyhedron satisfies a fixed relationship.
symbols, variables and units
V: number of vertices; E: number of edges; F: number of faces; all dimensionless.
applicable conditions and boundaries
Connected closed meshing of convex polyhedron or spherical topology; the right end of the holey surface changes.
formula source code
The following is a copyable LaTeX expression.
V-E+F=2
Reference and Extended Learning
OpenStax · Calculus Volume 3 ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
Euler characteristictopology