Does Cube Theory Help?

RennuR

Regular
Joined
Aug 1, 2016
Messages
161
Location
Kenosha, Wisconsin
Hello everyone, LRXC here and I have a question. i was reading the how to practice thread, amd the many things you can do to improve your cubing. one of the suggestions was reading up on cube theory and commutators and stuff. so the question is, does reading up on this stuff really help you? especially seeing a lot of us, including me arent at that math level of group theory and stuff.

So yeah does reading and trying to understand cube theory really help? Is there some sort of beginners introduction to it? Thank you in advance
 
I don't know much about cube theory but I don't think it'll help your times a lot.
 
Knowing the theory is primarily useful for two things: doing FMC and creating new methods. It's not going to make you super fast or anything, but don't let that discourage you from learning about the theory anyway.

You might want to start with the wiki page on commutators.
 
especially seeing a lot of us, including me arent at that math level of group theory and stuff.
If you're in high school and are doing OK in math, you're probably at the level to understand the basics of group theory. Other than basic combinations and permutations, you'll probably never learn group theory at school, and unless you major in pure mathematics at university you won't get to it there either.

When people talk about cube theory, I don't think they necessarily mean learning the mathematical field of group theory. I think they mean more along the lines of understanding a bunch of cube specific concepts that don't need any math to understand at all.

Commutators and conjugates are basically essential if you want to be good at FMC and BLD. They can also be used to solve any type of permutation puzzle without ever having to look up algs, which is pretty cool. This video gives a pretty thorough introduction for cubing.

Jaap's Puzzle Page has a lot of cube theory. If you're interested in group theory and how it applies to cubes, then start with this, then you can go into this more detailed article on group theory, which also explains how each section applies to Rubik's cube in particular. You may get a little lost, but read a bit, leave it for a while and then come back to it a few weeks later. It doesn't take any particular level of math, but it is fairly heavy reading and will probably take a bit of thinking to understand.

Do I think any of this helps with speedsolving? Not really. But cubing is my hobby, and I'd rather actually understand the cube rather than just apply a bunch of memorised solutions.
 
Does cube theory help with what?

With BLD? Definitely (commutators).
With coming up with speedcubing methods? Yes (parity, orientation, permutation, combinatorics).
With finding the fastest algs? Yes (stuff above and computer cubing theory).
With learning algs that others have found and becoming really fast? Maybe.

So the answer depends on your goals. But as mentioned above, commutators are a light introduction to cube theory that are applicable to almost every part of speedcubing. It's a good topic to start with.

Jaap's Puzzle Page has a lot of cube theory.
I second this. I recommend clicking around Jaap's puzzle page and reading anything you find interesting!

It might not all help with speedcubing, but it certainly won't hurt, and you might learn some things you didn't even know could be useful for you.
 
Back
Top