New 2x2 method proposal

[Bttyx]

I've tested the first step, it takes 4 moves max, and it can usually be done in 2-3 moves.
Advanced solvers can one look using this method and it is quite efficient(depends on the algs I will make) and 10-12 move solves are possible.

Just got a one move first step

 

[Phenix]

I wouldn't call this a completely new method bc it's basically CLL w/ pseudo layers at it's core (But not exactly!). Pseudo Layers is complicated but very intuitive, the main problem with trying to make it an algset is the massive number of algs. This is mostly true for the cases in this method where you have a bar solved. I would call this a mixture of Varasano/EG. The thing is, why would you do a 12-15 move alg to solve the cube from this state when it only takes abt 8-10 moves to use CLL/EG/One-Looking? This isn't exactly unoriginal, but compared to many other 2x2 methods, it isn't very practical. As for wether or not the peak of 2x2 has been reached, considering there is a spreadsheet in the progress for 1.5k 2x2 algs for algorithmic one-looking, I don't think there will be another 2x2 method that can rival what's ready been done.

The problem still stands that it would take the same amount of moves or less using 42 algs instead of 3000+. Not trying to make this difficult for you, but when I create a method, I usually have multiple ideas in mind instead of one so that I can take/give from each to make something that doesn't really run into the problems some of them may have. Maybe that approach will work for you as well, I'd suggest you try it!

 

[Bttyx]

The problem still stands that it would take the same amount of moves or less using 42 algs instead of 3000+. Not trying to make this difficult for you, but when I create a method, I usually have multiple ideas in mind instead of one so that I can take/give from each to make something that doesn't really run into the problems some of them may have. Maybe that approach will work for you as well, I'd suggest you try it!

Ok I will use trangium batch solver to see how many algs it has, then decide how to modify it

 

[That0newe1rdo]

Sounds cool !
Wish i thought of this when i sat down to make a 2x2 method, the one i cam up with had already been invented.

 

[efattah]

The problem with the method proposed is that the number of moves that it saves, to create the pseudo-face, is only a fraction of a move fewer than what is already required in full EG. Thus, you need to learn 1000+ algorithms instead of 126, to save maybe 0.5 moves. While it might actually save half a move, you will lose in the end, because it is extremely hard or impossible to hold 1000+ algorithms in your muscle memory with the same speed & efficiency of 126. The fewer the algorithms, the more you can optimize & practice those cases. With the proposed method, every solve you would be hitting an algorithm you had not seen in many days or weeks, and you'd end up a little rusty on it with slower TPS, thus losing out the half-move you saved in the beginning.

 

[That0newe1rdo]

The problem with the method proposed is that the number of moves that it saves, to create the pseudo-face, is only a fraction of a move fewer than what is already required in full EG. Thus, you need to learn 1000+ algorithms instead of 126, to save maybe 0.5 moves. While it might actually save half a move, you will lose in the end, because it is extremely hard or impossible to hold 1000+ algorithms in your muscle memory with the same speed & efficiency of 126. The fewer the algorithms, the more you can optimize & practice those cases. With the proposed method, every solve you would be hitting an algorithm you had not seen in many days or weeks, and you'd end up a little rusty on it with slower TPS, thus losing out the half-move you saved in the beginning.

I agree, other then the fact there are only 386 algs (which yes ik is alot) which would make this a little more likely to be worth it

 

[robotmania]

I generated the algorithms for this, it's 386 algs with an average of 9.04 STM. I'm not sure exactly what creating a bar and putting two misoriented corners on the bottom averages, but I can't imagine that it's more than 3 moves. If that averages 3 moves, then the total average moves of the method would be 13.54 (3 for first step, 9.04 for 386-alg step, 0.75 for pre-AUF, 0.75 for post-AUF). I don't know off the top of my head how good CLL/EG are, but I'd imagine the numbers are similar, with CLL/EG being slightly higher.

 

[LukasCubes]

Can you make a few example solves with the method?

 

[efattah]

The last top 2x2 solver I talked to said they average 12.7 moves, primarily by 1-looking 3-4 solutions and choosing the one with move cancellations.

 

[Bttyx]

The problem with the method proposed is that the number of moves that it saves, to create the pseudo-face, is only a fraction of a move fewer than what is already required in full EG. Thus, you need to learn 1000+ algorithms instead of 126, to save maybe 0.5 moves. While it might actually save half a move, you will lose in the end, because it is extremely hard or impossible to hold 1000+ algorithms in your muscle memory with the same speed & efficiency of 126. The fewer the algorithms, the more you can optimize & practice those cases. With the proposed method, every solve you would be hitting an algorithm you had not seen in many days or weeks, and you'd end up a little rusty on it with slower TPS, thus losing out the half-move you saved in the beginning.

Actually it is only 386 algs. I know it's still a lot, but it is not as much as people would have imagined. And the first step of eg can be done in an average of 4-6 moves, while the first step of this can be done in 2 or 3, so yes it saves at least 2 moves

 

[efattah]

The first step of EG does not take 4-6 moves, it takes an average of 3.8. With the proposed method I think the average would drop to around 3.0 - 3.2.

 

[Bttyx]

The first step of EG does not take 4-6 moves, it takes an average of 3.8. With the proposed method I think the average would drop to around 3.0 - 3.2.

If that's the case than you'd be right, it does save only a bit, however I got solves that were a 1 or 2 moves first step for my method, while in eg I never got anything better than 3

 

[efattah]

Ortega/EG (a face)

distance positions Cumulative total

0 2654 0.62%

1 32828 4.23%

2 26354 21.28%

3 057908 77.29% ------> 77% of scrambles have a 3-move or better solution

4 32588 99.95%

So about 21% of scrambles have a 0, 1 or 2 move face for EG.
If you never get a 1 or 2 mover then you are probably not color neutral.

 

[Bttyx]

Ortega/EG (a face)

distance positions Cumulative total

0 2654 0.62%

1 32828 4.23%

2 26354 21.28%

3 057908 77.29% ------> 77% of scrambles have a 3-move or better solution

4 32588 99.95%

So about 21% of scrambles have a 0, 1 or 2 move face for EG.
If you never get a 1 or 2 mover then you are probably not color neutral.

Just tried colour neutrality on eg, yes you are right. But after trying it on my method, I am constantly getting 1 and 2 moves solves

 

[efattah]

Sorry, I checked my notes, actually the average movecount for an EG face is 2.97.

 

[Bttyx]

Sorry, I checked my notes, actually the average movecount for an EG face is 2.97.

Enough of this arguement, I edited the post to have two methods, which one do you think is better?

 

[Bttyx]

So recently I made a new method called BOP, but someone said that the peak of 2x2 had already been reached, and that there was no point in making another method, so now I am challenging myself to make a method that is similar in speed to EG.
Here is the 1st method(BTOL)(bttyx and that0newe1rdo one look)
1. solve a face, with at least 2 corners solved and the other two corners orientated
2. solve the rest of the cube in one alg

Theoretically, this should rival EG.
There are 204 algs for this method.(A lot less than I thought)(Credit to that0newe1rdo for the algs)

Here is the second method(DTCLL)(double twisty corners of last layer)
1. solve a face, with at least two corners solved, and the other two corners in their right place(does not have to be orientated)
2. solve the rest of the cube in one alg
386 algs (A lot less than I thought)(Credit to robotmania for the algs)

Edited the post