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:

$12 \times 8 \times 3 = 288$

$\blacksquare$

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $72$