2021/11/10 by Victor Le Guilloux, Guilloux, Victor Le
Chemistry · Computer Science · Mathematics · #Advanced Algebra and Logic #Combinatorics (math.CO) #FOS: Mathematics #History and advancements in chemistry #math.CO
paper · pdf · doi:10.48550/arxiv.2111.05705
19 pages, 4 figures, in French
openalex publication_date 2021/11/10 · arxiv created 2021/12/06 · arxiv updated 2021/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After having translated the problem of solving the Rubik's Revenge in terms of group actions, we use the result of the structure of the legal transformations (Larsen) to count the states of the Rubik's Revenge modulo legal and indistinguishable transformations, in the presence and absence of mechanical constraints. We also find by a new method the computation made by Bonzio, Loi and Peruzzi of the probability of being able to solve the Rubik's Revenge after having assembled it randomly, once again in the presence and absence of mechanical constraints.