Math Playground
Geometry

Vertices, faces, edges

The three counts every polyhedron has — and Euler's V−E+F = 2.

Three counts that describe every polyhedron.

Spin the solid
Square pyramid
faces
5
edges
8
vertices
5
V − E + F = 5 − 8 + 5 = 2

drag to rotate

Definitions

  • Vertex — a corner.
  • Edge — a straight line where two faces meet.
  • Face — a flat surface.
Euler's formula