The invariants of n-dimensional Rubik's Cube
It is well known that Rubik's cube has a set of group invariants. These values do not change if any layer was rotated, but they can change in case if some of the cubes were removed from the puzzle, mixed up and returned back. In this paper, we generalize the puzzle to the case of an arbitrary d...
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| Veröffentlicht in: | arXiv.org 2021-12 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is well known that Rubik's cube has a set of group invariants. These values do not change if any layer was rotated, but they can change in case if some of the cubes were removed from the puzzle, mixed up and returned back. In this paper, we generalize the puzzle to the case of an arbitrary dimension after which we describe all the invariants. |
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| ISSN: | 2331-8422 |