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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.
For example, when d=4, the hash table for two occurrences of d would contain the key-value pair 8 and 4+4, and the one for three occurrences, the key-value pair 2 and (4+4)/4 (strings shown in bold). The task is then reduced to recursively computing these hash tables for increasing n , starting from n=1 and continuing up to e.g. n=4.
The reducing factor comes about because there are 24 (4!) ways to arrange the four pieces of a given color. This is raised to the sixth power because there are six colors. The total number of center permutations is the permutations of a single set raised to the fourth power, 24! 4 /(24 24). There are 48 edges, consisting of 24 inner and 24 ...
The repetition of any given move sequence on a cube which is initially in solved state will eventually return the cube back to its solved state: the smallest number of iterations required is the period of the sequence. For example, the 180-degree turn of any side has period 2 (e.g. {U 2} 2); the 90-degree turn of any side has period 4 (e.g. {R} 4).
How to Solve It suggests the following steps when solving a mathematical problem: . First, you have to understand the problem. [2]After understanding, make a plan. [3]Carry out the plan.
The record for mean of three solves solving a 5x5x5 cube blindfolded is 2 minutes, 27.63 seconds (including inspection), set by Stanley Chapel of the United States on December 15, 2019, with the times of 2:32.48, 2:28.80, and 2:21.62. [15]
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.
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 February 2025, the world record for the fastest single solve of a Rubik's cube in a competitive setting stands at 3.134 seconds.