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

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

    The maximal number of face turns needed to solve any instance of the Rubik's Cube is 20, [2] and the maximal number of quarter turns is 26. [3] 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.

  3. 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.

  4. Combination puzzle - Wikipedia

    en.wikipedia.org/wiki/Combination_puzzle

    On a crazy cube type I, they are internally connected in such a way that they essentially move as 8 distinct pieces, not 24. To solve such a cube, think of it as a 2x2x2 (pocket cube) trapped inside a 4x4x4 (Rubik's Revenge). Solve the 2x2x2 first, then solve the 4x4x4 by making exchanges only. Solving the type II is much more difficult.

  5. Rubik's family cubes of varying sizes - Wikipedia

    en.wikipedia.org/wiki/Rubik's_family_cubes_of...

    A cube is solvable if the set state has existed some time in the past and if no tampering of the cube has occurred (e.g. by rearrangement of stickers on hardware cubes or by doing the equivalent on software cubes). Rules for the standard size 3 Rubik's cube [3] [4] and for the complete Rubik's cube family [5] have been documented. Those rules ...

  6. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    Non-human solving: The fastest non-human Rubik's Cube solve was performed by Rubik's Contraption, a robot made by Ben Katz and Jared Di Carlo. A YouTube video shows a 0.38-second solving time using a Nucleo with the min2phase algorithm. [98] Highest order physical n×n×n cube solving: Jeremy Smith solved a 21x21x21 in 95 minutes and 55.52 seconds.

  7. Solving a Rubik's cube is easier than you think: Here's how

    www.aol.com/news/2015-07-21-solving-a-rubiks...

    The Rubik's Cube world champion is 19 years old an can solve it in less than 6 seconds. While you won't get anywhere near his time without some years of practice, solving the cube is really not ...

  8. 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 ...

  9. Pyramorphix - Wikipedia

    en.wikipedia.org/wiki/Pyramorphix

    Thus, the same methods used to solve the Rubik's Cube may be used to solve the Master Pyramorphix, with a few minor differences: the center pieces are sensitive to orientation because they have two colors, unlike the usual coloring scheme used for the Rubik's Cube, and the face centers are not sensitive to orientation (however when in the ...

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