Rubik's Abstract Polytopes
Combinatorics
2025-02-20 v1
Abstract
We generalize the Rubik's cube, together with its group of configurations, to any abstract regular polytope. After discussing general aspects, we study the Rubik's simplex of arbitrary dimension and provide a complete description of the associated group. We sketch an analogous argument for the Rubik's hypercube as well.
Keywords
Cite
@article{arxiv.2502.13518,
title = {Rubik's Abstract Polytopes},
author = {Giovanni Luca Marchetti},
journal= {arXiv preprint arXiv:2502.13518},
year = {2025}
}