Euler's Formula for Polyhedra Calculator
Euler's Formula Calculator uses V − E + F = 2 to find the missing count of vertices, edges, or faces of a convex polyhedron. Enter the vertices and edges to find the faces.
Formula
V − E + F = 2 ⟹ F = 2 − V + E
- Euler's formula holds for any convex polyhedron.
- Rearrange it to solve for whichever count is unknown.
Cube: V = 8, E = 12
Inputs
- Vertices (V): 8
- Edges (E): 12
F = 2 − 8 + 12 = 6, the six faces of a cube.
Frequently asked questions
What is Euler's formula for polyhedra?
For any convex polyhedron, vertices minus edges plus faces always equals 2.