Formula
For a convex polyhedron, V−E+F=2, so F=2−V+E.
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Applies to convex polyhedra (or closed spherical topology), not objects with handles or holes. Necessary count checks do not certify a geometric realization.
Example Calculation
Example inputs
- Vertices V: 8
- Edges E: 12
V=8 and E=12 imply F=6, as for a cube.
Frequently asked questions
How do I use this calculator?
Enter vertices v, edges e. The result updates automatically. Use Reset to restore the example values.
What method does it use?
For a convex polyhedron, V−E+F=2, so F=2−V+E.. Applies to convex polyhedra (or closed spherical topology), not objects with handles or holes. Necessary count checks do not certify a geometric realization.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.