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.

Related Terms: edge, face, polyhedron, vertex (in solid geometry)