Saturday, August 17, 2019

How Random does a 3x3x3 (or other rubik cubes) need to be in speed solving?


Is there a rule/method to know how "random" should the cube be when solving it? in order for it to be a "valid" score?



Answer



The World Cube Association has regulations regarding the official scrambling algorithm used for their competitions.



An official scramble sequence must produce a random state from those that require at least 2 moves to solve.




Source: https://www.worldcubeassociation.org/regulations/#article-4-scrambling


Basically, as long as it takes at least 2 moves to solve, it's a valid scramble. All scrambles are computer-generated.


Most scrambles will require a minimum of 18 moves to solve. The number of possible permutations for a certain number of moves is given on http://www.cube20.org.


Although a 2-move scramble is in theory possible, the chance of it happening is about 243 in 43 quintillion.


I seem to recall that the standard for competition scrambles before this was 40 random turns, but I don't have a source for this.


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