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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, lower bound being 18 and upper bound ...
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.
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]
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Puzzles have been built resembling Rubik's Cube, or based on its inner workings. For example, a cuboid is a puzzle based on Rubik's Cube, but with different functional dimensions, such as 2×2×4, 2×3×4, and 3×3×5. [116] Other Rubik's Cube modifications include "shape mods", cubes that have been extended or truncated to form a new shape.
Cube mid-solve on the OLL step. The CFOP method (Cross – F2L (first 2 layers) – OLL (orientate last layer) – PLL (permutate last layer)), also known as the Fridrich method, is one of the most commonly used methods in speedsolving a 3×3×3 Rubik's Cube. It is one of the fastest methods with the other most notable ones being Roux and ZZ.
for the 4-cube is rotations of a 3-polytope (cube) in 3-space = 6×4 = 24, for the 3-cube is rotations of a 2-polytope (square) in 2-space = 4; for the 2-cube is rotations of a 1-polytope in 1-space = 1; In other words, the 2D puzzle cannot be scrambled at all if the same restrictions are placed on the moves as for the real 3D puzzle.
The Pyraminx Duo (originally known as Rob's Pyraminx) [1] is a tetrahedral twisty puzzle in the style of the Rubik's Cube. It was suggested by Rob Stegmann, [1] invented by Oskar van Deventer, [1] [2] and has now been mass-produced by Meffert's. [1] [3]