2025/02/19 by Giovanni Luca Marchetti, Marchetti, Giovanni Luca
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2502.13518
openalex publication_date 2025/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.