Product of Number of Edges, Edges per Face and Faces of Regular Octahedron

Theorem
The product of the number of edges, edges per face and faces of a regular octahedron is $288$.

Proof
A regular octahedron has:
 * $12$ edges

and:
 * $8$ faces.

Each face is a triangle, and so has $3$ edges.

Hence:
 * $12 \times 8 \times 3 = 288$