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arXiv · 2502.13518

Rubik's Abstract Polytopes

Giovanni Luca Marchetti
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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.

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Giovanni Luca Marchetti. 2025-02-19. Rubik's Abstract Polytopes. https://arxiv.org/abs/2502.13518

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