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What if you did petrus except you only build the 3 edges for the 2x2 (no corner), allowing for a buffer spot, meaning you could solve the cube with only Commutators, no algs.
 
So solve a couple pieces then do 3-style?
It would go something like this:
2x2x2 without corner
2x2x3
EO
2-gen F2L
EPLL, using the buffer in case of impossible case
CPLL, using Commutators.
Is Orienting 5 corners possible with Commutators?

If you ever find a corner you need is in the 2x2x2, use a commutator to take it out.

Additionally, you could turn PLL into one step by memorizing which Commutators Permute edges while permuting edges.


Varaint:
1. F2L-1, so the last slot can be used as a buffer
2. Use Commutators to solve corners
3. Use Commutators to solve edges

So, yes. But it would be more than "a few pieces", it would be the maximum without making commutators useless.
 
COLL (42) x number of L5EP cases (16) x number of angles for L5EP. A large number. 42x16 is already 672... If we just take every L5EP case to have 4 different angles, that’s 2688 algorithms o_O
 
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2x2x3 + pair( can be done in many ways, i.e. 3/4 cross and pairs, 1x2x3 + 2x2x2)
Last pair with corner orientation(like ZBLS with corner)(could be WV or SV)
L5EO
L5EP + CP/PLL + DF edge(96 or fewer algs - 21 PLL = <75 algs(also some will just be setup moves to PLL))(If this subset hasn’t been named yet tell me (I want to name a subset))
Bump
Edit: It’s just HKPLL
Edit 2: This is literally just Hawaiian Kociemba but worse
Edit 3: This is also basically Petrus-W but worse
 
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Hi. My name is Haakan Aaslin from Sweden. This is my first post btw.
I am new to this cubing world and the 3x3 cube, but it diden´t take long time for me to realize that you need quite many algorithms for solving LL in an efficient way.
OLL with 57 algorithms and alot of preworking before you get the top layer done and after that 21 PLL.

I didn´t want to learn all of that so i have spend hours on YouTube to try find another way of solve the LL without so many algoritms. I did not find that so i started to laborate to find a way and i did.

If i have not found anything yet that matching my method... i can´t be sure, so i ask you first.

I will briefly explain my approach on the LL, so if you know this method sins before tell me.

For now we can call my approach HALL, after my name ofcourse.
OLL needs 57 algorithms and some pre algorithms to reach the desired result.
HALL with a method called A34 (approach 34) consists of 2 algorithms, one universal trigger that works anytime on any top layer pattern and one common to reach the desired result.

A34:s 2 algorithms can be applyed on any outcome the top layer has after F2L and you will always get same result.

Have any of you heard of that approach before? else i have a full developed concep in a pdf. This is an new approach like OLL but more easy.
After the 2 step with A34:s algorithms you end up in a very nice position to finnishing to LL with next algoritm, but i leave that to you.

What do you say? does this sounds interesting? or does this already exist?

If i have post in wrong place/category i am sorry.
 
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Sounds like a nice idea, but I can’t follow very well. Could you provide an example solve to show me how you would do the last layer. By the way, Petrus has a minimum of 2 algorithms for LL, 13 for 3 look, 28 for 2 look and 493 for one look.
 
Okej, but i think Petrus don´t use the F2L method.

I will give you an pdf.
Please tell me if this has potential. I realy think this approach HALL with A34 can be a new member of how to solve LL.
It can be an alternative for lazy cubers ;)
What i can feel is that this way can for sure bring cubers to reach better PB becaus it is so simple and straight forward.
I realy love this way...
 

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