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2x2 theory for cbl

Bttyx

Member
Joined
Jul 13, 2025
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126
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Singapore
So I have been reading on cbl, which many people consider "unlearnable". But while I was reading, I thought "what if both layers had a solvable cll case?" So instead of separating the top and bottom colours, you desperate them while making sure that each layer is solvable with a cll Alg. This should reduce the number of algs from 4000+ or more to 42*42 algs(probably more calculations needed than that) which is learnable. What do you guys think?
 
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There are 43 CLL cases in total, so 43^2 = 1849 CBL cases up to AUF/ADF. 1 of these is skip and 84 of these are normal CLL cases, which leaves 42^2 = 1764 nondegenerate CBL cases. (edit: specifically, the ones with solvable CLLs on both sides)

This still double-counts the cases with different CLLs on U and D; if you group those together, that leaves 42×43/2 = 903 cases.

There still are cases that are multiple-counted, namely, the ones that are CBL cases on multiple axes; this is annoying to account for (the collocations apply to specific AUFs) and is left as an exercise for the reader.
 
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So I have been reading on cbl, which many people consider "unlearnable". But while I was reading, I thought "what if both layers had a solvable cll case?" So instead of separating the top and bottom colours, you desperate them while making sure that each layer is solvable with a cll Alg. This should reduce the number of algs from 4000+ or more to 42*42 algs(probably more calculations needed than that) which is learnable. What do you guys think?
Who said that CBL was unlearnable? It’s only 2794 algs, 3x3 1LLL has more and that has been learned before
 
This is somewhat similar to something I suggested some time back which is essentially Ortega where you orient both top & bottom simultaneously, so, like CBL you separate the layers, then orient both at the same time and then permute. Likely not worth learning ,vs. EG.
 
OO is probably just a doable as 5-style. CBL I believe several top solvers are learning. Particularly Zayn.
Actually nobody is making an effort to learn any sizable chunk of OO. There's a bit of a disconnect between what top solvers and the rest of the community with that understanding. The top solvers know tons of different algs and advanced methods, and on certain scrambles they find creative face solutions or algorithms that cancel, usually by hand. When they say they use OO, its usually because either 1 - they've studied the scramble afterwards, and believe the solution they found could not be beat, or 2 - They encountered a very similar scramble before, thought it was difficult/interesting and investigated what the best solution would be, and have recalled that practice when the familiar scramble came up again.

They absolutely know a large amount of algorithms and are very good at learning from mistakes and finding patterns in scrambles, but they don't even think OO would be worth learning. Committing for that would be a poor use of your time
 
OO is basically the equivalent to learning every other 2x2 alg set and somehow cancelling a face into one of those alg sets with optimal fingertricks and finding the best case to cancel into.

objectively optimal
 
Actually nobody is making an effort to learn any sizable chunk of OO. There's a bit of a disconnect between what top solvers and the rest of the community with that understanding. The top solvers know tons of different algs and advanced methods, and on certain scrambles they find creative face solutions or algorithms that cancel, usually by hand. When they say they use OO, its usually because either 1 - they've studied the scramble afterwards, and believe the solution they found could not be beat, or 2 - They encountered a very similar scramble before, thought it was difficult/interesting and investigated what the best solution would be, and have recalled that practice when the familiar scramble came up again.

They absolutely know a large amount of algorithms and are very good at learning from mistakes and finding patterns in scrambles, but they don't even think OO would be worth learning. Committing for that would be a poor use of your time
That’s why I compared it to 5-style. I think that both is an incredible waste of time.
 
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