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  2. Optimal solutions for the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Optimal_solutions_for_the...

    These numbers are also the diameters of the corresponding Cayley graphs of the Rubik's Cube group. In STM (slice turn metric), the minimal number of turns is unknown. There are many algorithms to solve scrambled Rubik's Cubes. An algorithm that solves a cube in the minimum number of moves is known as God's algorithm.

  3. Rubik's Cube group - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube_group

    The manipulations of the Rubik's Cube form the Rubik's Cube group. The Rubik's Cube group (,) represents the structure of the Rubik's Cube mechanical puzzle. Each element of the set corresponds to a cube move, which is the effect of any sequence of rotations of the cube's faces. With this representation, not only can any cube move be ...

  4. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    Rubik's Cube lends itself to the application of mathematical group theory, which has been helpful for deducing certain algorithms – in particular, those which have a commutator structure, namely XYX −1 Y −1 (where X and Y are specific moves or move-sequences and X −1 and Y −1 are their respective inverses), or a conjugate structure ...

  5. Combination puzzle - Wikipedia

    en.wikipedia.org/wiki/Combination_puzzle

    Each of the six faces is a different colour, but each of the nine pieces on a face is identical in colour in the solved condition. In the unsolved condition, colours are distributed amongst the pieces of the cube. Puzzles like the Rubik's Cube which are manipulated by rotating a section of pieces are popularly called twisty puzzles. They are ...

  6. God's algorithm - Wikipedia

    en.wikipedia.org/wiki/God's_algorithm

    A scrambled Rubik's Cube. An algorithm to determine the minimum number of moves to solve Rubik's Cube was published in 1997 by Richard Korf. [10] While it had been known since 1995 that 20 was a lower bound on the number of moves for the solution in the worst case, Tom Rokicki proved in 2010 that no configuration requires more than 20 moves. [11]

  7. The Simple Solution to Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/The_Simple_Solution_to...

    The Simple Solution to Rubik's Cube by James G. Nourse is a book that was published in 1981. The book explains how to solve the Rubik's Cube. The book became the best-selling book of 1981, selling 6,680,000 copies that year. It was the fastest-selling title in the 36-year history of Bantam Books.

  8. Rubik's Revenge - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Revenge

    A solved Rubik's Revenge cube. The Rubik's Revenge (also known as the 4×4×4 Rubik's Cube) is a 4×4×4 version of the Rubik's Cube.It was released in 1981. Invented by Péter Sebestény, the cube was nearly called the Sebestény Cube until a somewhat last-minute decision changed the puzzle's name to attract fans of the original Rubik's Cube. [1]

  9. List of world records in speedcubing - Wikipedia

    en.wikipedia.org/wiki/List_of_world_records_in...

    7×7×7 Cube Single 1:34.15 Max Park: Rubik's WCA North American Championship 2024 Average 1:39.68 Max Park: 1:36.19 / 1:38.19 / 1:44.65 Nub Open Yucaipa 2024 3×3×3 Blindfolded Single 12.00 Tommy Cherry Triton Tricubealon 2024 Average 14.05 Tommy Cherry 13.48 / 14.42 / 14.24 Rubik's WCA European Championship 2024 3×3×3 Fewest moves

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