When solving the Rubik’s Cube, we normally allow any rotation of any face on the cube, resulting in 18 distinct rotations. In this post, we seek to find out how many distinct rotations are required to solve any scramble of a 3x3x3 Rubik’s Cube.

We use standard notation to denote moves. A clockwise rotation of a face is marked with a letter:

**F**:**D**: Down**U**: Up**R**: Right**L**: Left**B**: Back

This means that with the move set {F, D, U, R, L, B} we can denote a clockwise rotation of each face of the Rubik’s Cube…

PhD student in Computing Science at Glasgow University. Hobbyist speedcuber