A variation on the Rubik's cube

Mathieu Dutour Sikirić

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arXiv · 2012.00473

A variation on the Rubik's cube

Mathieu Dutour Sikirić

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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 $3$-valent map. We prove an upper bound on the size of the corresponding group which we conjecture to be tight.

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Mathieu Dutour Sikirić. 2020-12-01. A variation on the Rubik's cube. https://arxiv.org/abs/2012.00473

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