A pure mathematical approach to solving rubiks cube

[asdfasdfasdfasdf]

Hi,

I've been doing cubing mainly as a hobby and I've been wondering if there is a way to use mathematics to find the ideal solution to any scramble of the rubiks cube and if there is a way to be able to make a method out of this which anyone can use. Also if there is a way to do the same with larger cubes like the 4x4 and 5x5.

Thanks in advance

 

[MistArts]

Commutators?

 

[Swordsman Kirby]

Commutators?

Using strictly commutators and conjugates almost probably won't give you the "ideal" solution.

 

[Lucas Garron]

I suggest you look at the Human Thistlethwaite algorithm and the math pages on Jaap's site to see how the answer to your question is "Yes, and kinda mostly no."