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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13518 |
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| _version_ | 1866912238162411520 |
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| author | Marchetti, Giovanni Luca |
| author_facet | Marchetti, Giovanni Luca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rubik's Abstract Polytopes Marchetti, Giovanni Luca Combinatorics 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. |
| title | Rubik's Abstract Polytopes |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2502.13518 |