Polygons and PolyhedraEuler

Polyhedra come in many different shapes and sizes – from simple cubes or pyramids with just a few faces, to complex objects like the star above, which has 60 triangular faces. It turns out, however, that all polyhedra have one important property in common:

Euler’s Polyhedron Formula
In every polyhedron, the number of faces (F) plus the number of vertices (V) is two more than the number of edges (E). In other words,

F+V=E+2

For example, if a polyhedron has 12 faces and 18 vertices, we know that it must have edges.