Euler’s Polyhedron Formula Calculator
Find the edge count required by Euler’s formula from vertices and faces of a convex polyhedron.
Formula
E = V + F − 2
Required edges E ≈ (8)+(6)-2
How to use
- Enter the number of vertices V.
- Enter the number of faces F.
- Read the required number of edges E.
Examples
- A cube has 8 vertices, 6 faces and 12 edges.
Frequently asked questions
Which solids qualify?
Convex polyhedra; the boundary has no holes.
Does a result prove the solid exists?
No. Euler’s equation is a necessary condition, not an existence test.
Are curved surfaces faces?
No. Use flat polygonal faces, straight edges and vertices.
Sources
Updated: