With @Angry_Mob 's agreement, I come up with an almost identical idea with this: Instead of reducing to and Pi or H case, this reduce it to a Sune /Antisune case. CLL algs for those two cases are much shorter.New 2x2 thing?
This is a method for people who are learning or want to know CLL.
It's essentially using sunes to set up cases, but imo treating it as an alg gives it merit.
1. Layer - just like CLL and LBL
2. Use a sune or anti-sune to set up a case w/ no corners oriented. These sets (Pi + H) have the easiest recognition imo, there are only 10 algs and almost all of them are good. It's good to treat each case in this step like an algorithm, even though there are only two.
Here are the angles (starting angles are from here http://www.cyotheking.com/ortega )
S - U' (AS)
AS - U2 (S)
U - U (AS)
T - U' (S)
L - U (AS or S)
Personally, I prefer backsune, but you can figure that out yourself
3. CLL - only 10 cases show up. It is impossible to skip this step which kind of sucks.
Overall I think this is pretty good because of its reasonable alg count, easy recognition and low move count (at least compared to LBL)
I don't know if this is 100% better than LBL, but it has its advantages.
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