Euler's Characteristic - The Incredible Geometry Formula

In this short video I explore Euler's Characteristic for convex polyhedra: V - E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces.
I apply the formula to a hexahedron (cube) and a dodecahedron. This formula is very interesting, is it definitely one of Euler's more exciting formulas.