For
any polyhedron, the number of V, faces F, and E satisfy the following .
F+V=E+2
For example, in our hexagonal prism, we have 8 faces, 18 edges, and 12 vertices. Let's substitute these values for F, E, and V, and check that they satisfy the formula.
F+V=E+2
8+ 12? = 18+2
20=20 ✓
This formula was discovered by the Swiss mathematician Leonard Euler and it is called . Euler is considered one of the greatest mathematicians of all time.