English

A variation on the Rubik's cube

Combinatorics 2020-12-02 v1

Abstract

The Rubik's cube is a famous puzzle in which faces can be moved and the corresponding movement operations define a group. We consider here a generalization to any 33-valent map. We prove an upper bound on the size of the corresponding group which we conjecture to be tight.

Keywords

Cite

@article{arxiv.2012.00473,
  title  = {A variation on the Rubik's cube},
  author = {Mathieu Dutour Sikirić},
  journal= {arXiv preprint arXiv:2012.00473},
  year   = {2020}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-23T20:38:18.868Z