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The Petrus System was designed as an alternative to the popular layer-based solutions of the early 1980s using 2v2v2 blocks. [10] [1] Petrus reasoned that as a solver constructs layers, further organization of the cube's remaining pieces is restricted by what one has already done.
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.
The cube restricted to only 6 edges, not looking at the corners nor at the other edges. The cube restricted to the other 6 edges. Clearly the number of moves required to solve any of these subproblems is a lower bound for the number of moves needed to solve the entire cube. Given a random cube C, it is solved as iterative deepening. First all ...
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 overlapping cube and ball in a cube puzzles were followed by using the modified mechanism from an Eastsheen 4x4x4 cube, and in 2007 the Hexaminx puzzle, a cubic version of the Megaminx for which Fisher has used new manufacturing techniques involving polyurethane resins to make the tiny extensions as one solid piece. [1]
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.
Vincent Sheu has been an active speedcuber since 2006. [8] He typically uses the CFOP method, a layer-by-layer system popularized by Jessica Fridrich in 1997. [9] In 2011, Sheu tied the existing world record for a 2x2x2 single solve with a time of 0.96 seconds at the Berkeley Winter Cube Competition. [10]
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.