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  2. 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 ...

  3. How Rubik's Cube cracked the code for success - AOL

    www.aol.com/finance/rubik-cube-still-selling...

    The popularity of the Cube is reflected in its strong sales—in 2022, 5.75 million units of the official Rubik’s Cube were sold globally and that figure was up 14% year-to-date, according to ...

  4. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    The Rubik's Cube was inducted into the US National Toy Hall of Fame in 2014. [14] On the original, classic Rubik's Cube, each of the six faces was covered by nine stickers, with each face in one of six solid colours: white, red, blue, orange, green, and yellow. Some later versions of the cube have been updated to use coloured plastic panels ...

  5. n-dimensional sequential move puzzle - Wikipedia

    en.wikipedia.org/wiki/N-dimensional_sequential...

    This puzzle is not really a true 2-dimensional analogue of the Rubik's Cube. If the group of operations on a single polytope of an n-dimensional puzzle is defined as any rotation of an (n – 1)-dimensional polytope in (n – 1)-dimensional space then the size of the group, for the 5-cube is rotations of a 4-polytope in 4-space = 8×6×4 = 192 ...

  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. Category:Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Category:Rubik's_Cube

    Rubik's Cube group; Rubik's Domino; Rubik's family cubes of varying sizes; Rubik's Games; Rubik's Puzzle World; ... Code of Conduct; Developers; Statistics; Cookie ...

  8. Wreath product - Wikipedia

    en.wikipedia.org/wiki/Wreath_product

    [7] [8] For instance, the Sylow 2-subgroup of S 4 is the above group. The Rubik's Cube group is a normal subgroup of index 12 in the product of wreath products, () (), the factors corresponding to the symmetries of the 8 corners and 12 edges.

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

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

    A Rubik's Cube is in the superflip pattern when each corner piece is in the correct position, but each edge piece is incorrectly oriented. [9] In 1992, a solution for the superflip with 20 face turns was found by Dik T. Winter, of which the minimality was shown in 1995 by Michael Reid, providing a new lower bound for the diameter of the cube group.