How not to scramble a Rubik's cube
Published: Sep 15, 2025
Last Updated: Sep 15, 2025
Authors:Thomas Fernique
Abstract
We model the scrambling of a Rubik's cube by a Markov chain and introduce a stopping time $T$ which is a quite natural candidate to be a strong uniform time. This may pave the way for estimating the number of moves required to scramble a cube. Unfortunately, we show that $T$ is not this is not strongly uniform.