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  2. Square-1 (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Square-1_(puzzle)

    The Square-1 puzzle was sold in this shape with instructions for turning it back to a cube. This is halfway through a vertical turn. The Square-1 is a variant of the Rubik's Cube. Its distinguishing feature among the numerous Rubik's Cube variants is that it can change shape as it is twisted, due to the way it is cut, thus adding an extra level ...

  3. 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]

  4. n-dimensional sequential move puzzle - Wikipedia

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

    For instance, the corner cubies of a Rubik's cube are a single piece but each has three stickers. The stickers in higher-dimensional puzzles will have a dimensionality greater than two. For instance, in the 4-cube, the stickers are three-dimensional solids. For comparison purposes, the data relating to the standard 3 3 Rubik's cube is as follows;

  5. Larry D. Nichols - Wikipedia

    en.wikipedia.org/wiki/Larry_D._Nichols

    In 1957, 17 years before Dr. Rubik’s invention popularly known as the “Rubik's Cube”, Dr. Nichols conceived of a twist cube puzzle with six colored faces. It was a 2×2×2 cube assembled from eight unit cubes with magnets on their inside faces, allowing the cubes to rotate in groups of four around three axes.

  6. 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. [5] 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.

  7. Speedcubing - Wikipedia

    en.wikipedia.org/wiki/Speedcubing

    These events encompass a range of puzzles, including N×N×N puzzles of sizes varying from 2×2×2 to 7×7×7, and other puzzle forms such as the Pyraminx, Megaminx, Skewb, Square-1, and Rubik's Clock. Additionally, specialized formats such as 3×3, 4×4, and 5×5 blindfolded, 3×3 one-handed, 3×3 Fewest Moves, and 3×3 multi-blind are also ...

  8. Pocket Cube - Wikipedia

    en.wikipedia.org/wiki/Pocket_Cube

    Pocket cube with one layer partially turned. The group theory of the 3×3×3 cube can be transferred to the 2×2×2 cube. [3] The elements of the group are typically the moves of that can be executed on the cube (both individual rotations of layers and composite moves from several rotations) and the group operator is a concatenation of the moves.

  9. Rubik's Cube group - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube_group

    The Rubik's Cube is constructed by labeling each of the 48 non-center facets with the integers 1 to 48. Each configuration of the cube can be represented as a permutation of the labels 1 to 48, depending on the position of each facet. Using this representation, the solved cube is the identity permutation which leaves the cube unchanged, while ...