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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]
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.
This allows the cube to be quickly solved with the same methods one would use for a 3×3×3 cube. [5] Because the permutations of the corners, central edges and fixed centers have the same parity restrictions as the 3×3×3 cube, once reduction is complete the parity errors seen on the 4×4×4 and 6×6×6 cannot occur on the 7×7×7.
The WCA ratifies records in 17 events. All events except 3×3×3 multi-blind have two categories: single and average. [2] For most events, an average of five is taken, but for 6×6×6, 7×7×7, 3×3×3 blindfolded, 3×3×3 fewest moves, 4×4×4 blindfolded and 5×5×5 blindfolded, an average of three is taken.
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.
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.
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 ...
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 regulated and hosted in competitions. [ 1 ] As of December 2024, the world record for the fastest single solve of a Rubik's cube in a competitive setting stands at 3.134 seconds.