#### emolover

##### Member

This thread is for opinions, improvements, and criticism of a new method for 2x2 I have created.

OSPA stands for

Seeing that I suck at explaining, these 5 example solves should help you understand how this method works.

Spoiler

The pros things about this method is that it is only two steps, has between 80-90 algorithms which is less then EG, easy to one look as long as you know what your SOAP algs do, heavy use of the double move(R2, U2...) if you like that, and can have absolutely no intuition or as much of it as you want.

The only two cons with this method that I see is recognizing the Separate+Permute case and heavy use of double moves if you don't like that.

Solutions to those could be establishing a recognition system where you realize that opposite colours are the same and the same colours are opposite if you are looking at two different opposite color top(or bottom) stickers. And algorithms that have almost only single move moves(F R U R"...).

As I said before I would like your opinions and suggestions, but please realize I am not done with this method. Also feel free to ask me questions and I will most likely answer them.

OSPA stands for

**O**rient**S**eparate+**P**ermute**A**UF. Essentially what this method is, is you use the SOAP algs to orient opposite sides that contain opposite colors in each. This is a lot like step one of Guimond where you make a side in the bottom with two opposite colours and step two of Guimond where you use an OLL to orient the top side. But this is done in one step instead of two. The next step is to Separate and Permute the opposite color sides in one algorithm. This combines step 3 of Guimond which is separation of opposite colours into two different sides, then the PBL that is the last step of Guimond and Ortega. This combines them into one algorithm. The only thing after that is the AUF which is able to be predicted.Seeing that I suck at explaining, these 5 example solves should help you understand how this method works.

Scramble: R2 F2 R F2 U' F U2 F2 R'

Presolve: x2 y'

Orient: U' y' R' U' R U R' U' R

Separate and Permute: z2 y (U R2 U R2' U' R2 U' R2') U2

__________________________________

Scramble: R' F2 U2 F' R2 U' R U2

Presolve: x2 y

Orient: R U' R' U R U' R'

Separate and Permute: y' U' R U' R' U' R2 F2 U' R U R

__________________________________

Scramble: F R' F2 U' F2 U R' U R'

Pre-solve: z' y2

Orient: U' (R' U R' U2 R U' R2)

Separate and Permute: U' R U F' R2 F R' F

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Scramble: U' R2 U F' U R U' F R'

Pre-solve: y2

Orient: U (R U R' F R F')

Separate and Permute: y U2 (R2 U' R U F' R2 F R' F) U2

____________________________

Scramble: R' F' R F R2 U' F2 R2 F'

Pre-solve: x' y2

Orient: U' (R' U R U' R' U R) y'

Separate and Permute: U (F2 U R2 U' F2 U R2)

Presolve: x2 y'

Orient: U' y' R' U' R U R' U' R

Separate and Permute: z2 y (U R2 U R2' U' R2 U' R2') U2

__________________________________

Scramble: R' F2 U2 F' R2 U' R U2

Presolve: x2 y

Orient: R U' R' U R U' R'

Separate and Permute: y' U' R U' R' U' R2 F2 U' R U R

__________________________________

Scramble: F R' F2 U' F2 U R' U R'

Pre-solve: z' y2

Orient: U' (R' U R' U2 R U' R2)

Separate and Permute: U' R U F' R2 F R' F

__________________________________

Scramble: U' R2 U F' U R U' F R'

Pre-solve: y2

Orient: U (R U R' F R F')

Separate and Permute: y U2 (R2 U' R U F' R2 F R' F) U2

____________________________

Scramble: R' F' R F R2 U' F2 R2 F'

Pre-solve: x' y2

Orient: U' (R' U R U' R' U R) y'

Separate and Permute: U (F2 U R2 U' F2 U R2)

The pros things about this method is that it is only two steps, has between 80-90 algorithms which is less then EG, easy to one look as long as you know what your SOAP algs do, heavy use of the double move(R2, U2...) if you like that, and can have absolutely no intuition or as much of it as you want.

The only two cons with this method that I see is recognizing the Separate+Permute case and heavy use of double moves if you don't like that.

Solutions to those could be establishing a recognition system where you realize that opposite colours are the same and the same colours are opposite if you are looking at two different opposite color top(or bottom) stickers. And algorithms that have almost only single move moves(F R U R"...).

As I said before I would like your opinions and suggestions, but please realize I am not done with this method. Also feel free to ask me questions and I will most likely answer them.

Last edited: Feb 3, 2012