Introducing CTLL: A Novel Simplified Approach to ZBLL

4Chan

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What if I told you that ZBLL can be carried out with:

  • Under 200 algorithms.
  • Easy memorization.
  • Fingertricky, fast algs.
  • Near optimal algorithms.

I recently had dinner with Andrew Kang and Chris Hardwick, whom inspired me to do a little bit of cubing.
As I was going through my old notes, I was trying to figure out ways to reduce the total number of work that I'd have to do to get going again.

I hypothesized that any ZBLL permutation can be solved with the combination of two OLL algorithms.

As I started inverting and combining OLLs to find cases, I realised that SEVERAL combinations of OLLs were already optimal or within a few turns of optimal. Since they're OLLs, they were also fingertrick friendly and most people already know them. It was after I started combining algorithms that I realised that this could significantly simplify ZBLL for easy memorization.

The only thing that needs to be memorized is which combination of OLLs to use, instead of a whole new algorithm.

For example:

Set up the case: R, U2, R2, F2, R, F2, L', U', R, U', L, R', U', R, U', R'

This is solved optimally with the combination of the two common OLLs
[f, R, U, R', U, f'] + [F, R, U, R', U', F']

The f' and the F cancel to become S', which when done with a thumb motion, becomes quite fast.

TL;DR: CTLL is the combination of fast OLLs to do ZBLL, memorizing OLL pairs is easier than memorizing new algs!

I'll be working on this in the coming months, I'll update if I make any breakthroughs!
 
Thank you! I'm learning bits and bobs per day, and I hope to memorize everything by August!

I'll post an average video when I'm done.
 
1. Welcome back!

2. Yes it's been done before unfortunately :p But I think more algorithm "components" should be included. For example, kirjava didn't include F R U' R' U' R U2 R' U' F'. I think perhaps it's worth researching this again.

Here's one I just found yesterday which is long but is really fast imo: (R U2 R' U' R U R' U' R U' R')(R U R' F' R U R' U' R' F R2 U' R') which cancels to: R U2 R' U' R U R' U' F' R U R' U' R' F R2 U' R'.
 
Hey Chris, why don't you just go and learn ZBLL? I heard some crazy person did that like YEARS ago.


LOL, my original plan was to figure out the nicest OLL combinations, and then learn ZBLL with those interspersed throughout, so it won't be too far off!

do you want my documentation?

it's complete but unpublished

oooOoOhhh, it's pretty satisfying doing the combinations myself, but I'd love to look through your work for nice cases !
Thanks and hay Kirjava (:

whoaaaaa, good to have you back chris. It's been a while since I saw you back here.

Hay Waffo! It's nice to cube, I'll stick around for a bit longer for sure!

Here's one I just found yesterday which is long but is really fast imo: (R U2 R' U' R U R' U' R U' R')(R U R' F' R U R' U' R' F R2 U' R') which cancels to: R U2 R' U' R U R' U' F' R U R' U' R' F R2 U' R'.

Hay Mr.Yau ! Your algs always were the best, I still use the one you gave me with all edges all corners in the right place but twisted. I'll include that one because it's much better than my old case!
 
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This could even be a fun way to learn a ton of cool OLLs. Will you make it obvious which OLL case each alg was originally intended for when you finally catalog all of these?

Ha, I'll try when I'm done. I'll share some nice cases when I finish my notes and writing everything down. It won't be soon, probably several months.
 
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