English

How not to scramble a Rubik's cube

Probability 2025-09-16 v1

Abstract

We model the scrambling of a Rubik's cube by a Markov chain and introduce a stopping time TT 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 TT is not this is not strongly uniform.

Cite

@article{arxiv.2509.12134,
  title  = {How not to scramble a Rubik's cube},
  author = {Thomas Fernique},
  journal= {arXiv preprint arXiv:2509.12134},
  year   = {2025}
}

Comments

8 pages

R2 v1 2026-07-01T05:37:17.219Z