
Euler´s formula (for polyhedron)


The formula that shows the relationship among the number of vertices v, faces f, and edges e in a polyhedron. It is v + f  e = 2.
For example, a rectangular solid has 8 vertices, 6 faces, and 12 edges. Therefore, v = 8, f = 6, and e = 12. As a result, v + f  e = 8 + 6  12 = 2.

