# Walk on a cube.

#### Non intersecting walk on a cube.

By Vamshi Jandhyala in mathematics

December 30, 2020

**Problem**: On the surface of a $3\times3$ cube is it possible to walk a path starting in one surface square, walking to neighbouring squares, visiting each of the $54$ squares only once? Is there a circuit?

**Solution**: Proof without words ðŸ˜Š