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2OP (said too-ahp) is an interesting 3x3 speedsolving method that is barely related to any other method, switches off between intuitive parts and algorithmic parts, high chance of lucky solves (see examples), low movecount, about 80% moves being RU, decent lookahead due to 2x2x2 being solved, and fast developed algs.

Cons are pause before EO and high algorithm count, but these can easily be overcome.

A little explanation of the

This step can be done entirely [R2,F2,U] if you want to, because Kociemba Phase 1 is already done.

By the way, you can have your slot any of three places, not just FR.

Basically how this method is

(kinda random notes):

- 2x2x2 and EO

- Part of Koce. Phase 1 intuitively

- Alg to finish Phase 1

- Part of Koce. Phase 2 intuitively

- Alg to finish Phase 2

EXAMPLE SOLVES:

Scramble: D2 L2 B2 U2 B2 D2 U F2 D' F' R' B2 D2 B2 F' D R2 B2 R2

U2 u R U D’ L2 // 2x2x2

R’ F2 R’ U’ F // EO

R L’ U L // Koce. F2L-1

R’ U R U2 R’ U2 R // TSLE

y’ R2 U2 R2 B2 R2 U R2 U’ R2 // F2L-1

R' U R' U R U' R U' R2 D R' U' R U D' R’ U2 // TTLL

48 moves, 83% of them RU moves

Scramble: U2 B2 U2 F2 R2 U' L2 D R2 F2 D' R F' L D L2 B U2 F2 R B'

x2

r’ U F r F’ U’ // 2x2x2

l2 F2 U F’ // EO

R’ U2 R // Koce. F2L-1

U’ L’ U2 L // TSLE

U’ R2 F2 U’ R2 // F2L-1

y R2 U2 R2 U’ R2 U’ R2 U // TTLL

Scramble: F2 R2 F2 U' B2 L2 D' F2 U B2 U2 F R2 B' F2 L' F' L' R B'

(x)

R’ U’ R’ r U’ // 2x2x2

(x) U’ F R2 F’ // EO

U R2 U2 R’ // Koce. F2L-1

U’ L’ U’ L U2 L’ U L // TSLE

U2 R2 M’ U2 M U’ y’ M U2 M’ // F2L-1

x' y' D2 U R U' R' D2 R U R' U' // TTLL

40 STM, drilled solution to 7.20 seconds

More Example Solves!

Spoiler

Random notes:

Spoiler

Spoiler

Spoiler

I’ve been thinking whether this is actually useful for 3x3 2H speedsolves today, I should do some practice and testing speedsolving this, and if it’s not good, then it’s still useful for FMC.

Cons are pause before EO and high algorithm count, but these can easily be overcome.

A little explanation of the

**Steps**:**2x2x2**- Just normal Petrus Block**(EO2x2x2)-**This is much better, but harder to plan in inspection than just 2x2x2, so if you can do it, do it, if you can’t then that’s fine. I personally cannot do it.**EO-**You have 9 edges and RUF moves, so you basically bring 4 bad edges to F layer using R and U moves, then F to flip those 4.**Koce. F2L-1**- Short for Kociemba F2L minus 1 slot, you make F2L-1 so it looks like you’ve done Kociemba Phase 1. It sounds very confusing and complicated, but actually very simple and easy.**TSLE**- Just from the ZZ-CT method, you orient remaining 5 corners and place last E edge. Algs: https://gyroninja.net/zzct/zzct-tsle.html**F2L-1**- I think everyone knows what this is.This step can be done entirely [R2,F2,U] if you want to, because Kociemba Phase 1 is already done.

By the way, you can have your slot any of three places, not just FR.

**TTLL**- Again, from ZZ-CT. Permutes your last 9 pieces, finishing your solve. 1/5 of the time your D corner will be solved, so it PLL time. Algs from same website as TSLE.Basically how this method is

(kinda random notes):

- 2x2x2 and EO

- Part of Koce. Phase 1 intuitively

- Alg to finish Phase 1

- Part of Koce. Phase 2 intuitively

- Alg to finish Phase 2

EXAMPLE SOLVES:

Scramble: D2 L2 B2 U2 B2 D2 U F2 D' F' R' B2 D2 B2 F' D R2 B2 R2

U2 u R U D’ L2 // 2x2x2

R’ F2 R’ U’ F // EO

R L’ U L // Koce. F2L-1

R’ U R U2 R’ U2 R // TSLE

y’ R2 U2 R2 B2 R2 U R2 U’ R2 // F2L-1

R' U R' U R U' R U' R2 D R' U' R U D' R’ U2 // TTLL

48 moves, 83% of them RU moves

Scramble: U2 B2 U2 F2 R2 U' L2 D R2 F2 D' R F' L D L2 B U2 F2 R B'

x2

r’ U F r F’ U’ // 2x2x2

l2 F2 U F’ // EO

R’ U2 R // Koce. F2L-1

U’ L’ U2 L // TSLE

U’ R2 F2 U’ R2 // F2L-1

y R2 U2 R2 U’ R2 U’ R2 U // TTLL

**30 HTM**, just random scramble off cstimer, went through scramble only once, crazy, right?? (almost FMC PB!)Scramble: F2 R2 F2 U' B2 L2 D' F2 U B2 U2 F R2 B' F2 L' F' L' R B'

(x)

R’ U’ R’ r U’ // 2x2x2

(x) U’ F R2 F’ // EO

U R2 U2 R’ // Koce. F2L-1

U’ L’ U’ L U2 L’ U L // TSLE

U2 R2 M’ U2 M U’ y’ M U2 M’ // F2L-1

x' y' D2 U R U' R' D2 R U R' U' // TTLL

40 STM, drilled solution to 7.20 seconds

More Example Solves!

Scramble: B' R2 D' B2 L2 B2 D2 L2 U2 B L2 R2 B' L' R2 U' L2 R2 B' R

R L’ U L y U2 R u’ // 2x2x2

F U’ F // EO

// Koce. F2L-1 Skip

U’ R U' R' U R U2 R' // TSLE

F2 R2 F2 R2 U’ R2 U’ R2 U2 R2 // F2L-1

U2 R U' R D R' U2 R D' R' U2 R' U' R U2 R' // TTLL

44 HTM

Scramble: B2 U' L' F L' D2 B' U2 L2 D2 B2 L2 D2 R B2 D2 L F2 D2 U L

y2 z

u U R’ U z x’ u’ // 2x2x2

R’ U R F’ // EO

L’ U2 L R2 // Koce. F2L-1

R’ U2 R U R’ U2 R // TSLE

U’ R2 U’ R2 // F2L-1

d’ R2 U2 R' U R2 U' R' U' R U2 R2 U2 R U' R2 U2 // TTLL

41 HTM

Scramble: L' U2 L' D2 U2 B2 F2 R U2 F2 L U F' U2 L D2 U' B' D F'

r u' r' U2 R' u2 // 2x2x2

z' U F' // EO

L' R U' R' // Koce. F2L-1

U' L' U' L' D' L U' L' D L U L // TSLE

F2 L2 U2 M' U2 M // F2L-1

R2 U2 R U' R' U R' U2 R2 U R U R' // TTLL

43 STM

Scramble: F2 L2 R2 D2 F' U2 R2 F R2 D2 L2 U' B' R2 B' L' B2 D B' F

U' R2 U' R' U2 // 2x2x2

x2 y' U R' F // EO

U' L' U2 L R' U L' U' R U' L // TSLE

F2 U' F2 U R2 U2 M' U2 M // F2L-1

F2 U' R2 u2 R2 F2 D R2 D r2 // TTLL

38 STM

R L’ U L y U2 R u’ // 2x2x2

F U’ F // EO

// Koce. F2L-1 Skip

U’ R U' R' U R U2 R' // TSLE

F2 R2 F2 R2 U’ R2 U’ R2 U2 R2 // F2L-1

U2 R U' R D R' U2 R D' R' U2 R' U' R U2 R' // TTLL

44 HTM

Scramble: B2 U' L' F L' D2 B' U2 L2 D2 B2 L2 D2 R B2 D2 L F2 D2 U L

y2 z

u U R’ U z x’ u’ // 2x2x2

R’ U R F’ // EO

L’ U2 L R2 // Koce. F2L-1

R’ U2 R U R’ U2 R // TSLE

U’ R2 U’ R2 // F2L-1

d’ R2 U2 R' U R2 U' R' U' R U2 R2 U2 R U' R2 U2 // TTLL

41 HTM

Scramble: L' U2 L' D2 U2 B2 F2 R U2 F2 L U F' U2 L D2 U' B' D F'

r u' r' U2 R' u2 // 2x2x2

z' U F' // EO

L' R U' R' // Koce. F2L-1

U' L' U' L' D' L U' L' D L U L // TSLE

F2 L2 U2 M' U2 M // F2L-1

R2 U2 R U' R' U R' U2 R2 U R U R' // TTLL

43 STM

Scramble: F2 L2 R2 D2 F' U2 R2 F R2 D2 L2 U' B' R2 B' L' B2 D B' F

U' R2 U' R' U2 // 2x2x2

x2 y' U R' F // EO

U' L' U2 L R' U L' U' R U' L // TSLE

F2 U' F2 U R2 U2 M' U2 M // F2L-1

F2 U' R2 u2 R2 F2 D R2 D r2 // TTLL

38 STM

Random notes:

- Using this for FMC, movecounts of steps are about:

2x2x2: 5 EO: 4

Koce. F2L-1: 4 TSLE: 7

F2L-1: 7 TTLL: 12

Total(FMC)- 39 moves

To be faster with this method,

- Plan your entire 2x2x2

- Track EO in inspection (or even solve it simultaneously w/ 2x2x2?)

- Learn all TSLE and TTLL algs and get recognition down

- Lookahead to F2L-1 during TSLE

————

The name 2OP comes from 2x2x2 -> Orient -> Permute, but also make 2x2x2 then do OverPowered stuff

2x2x2: 5 EO: 4

Koce. F2L-1: 4 TSLE: 7

F2L-1: 7 TTLL: 12

Total(FMC)- 39 moves

*|In speedsolve: ~42-44 moves|*To be faster with this method,

- Plan your entire 2x2x2

- Track EO in inspection (or even solve it simultaneously w/ 2x2x2?)

- Learn all TSLE and TTLL algs and get recognition down

- Lookahead to F2L-1 during TSLE

————

The name 2OP comes from 2x2x2 -> Orient -> Permute, but also make 2x2x2 then do OverPowered stuff

**OPTIMAL TTLL ALGORITHMS**(useful for FMC)The algorithms will be in the same

Opposite Front:

1- (U) R2 U’ F2 r2 U F2 U’ r2 F2

2- R2 U2 R' U R2 U' R' U' R U2 R2 U2 R U' R2

3- (U) R U' R' U R U2 R' U' R U R’

4- R’ L’ F2 R L D’ F2 R2 U’ L2 B2 R2 U2 L2

5- F2 R2 U2 F2 U F2 U R2 F2

6- R L U2 R L’ B2 U’ F2 L2 D’ L2 F2 U R2

7- (U2) R2 U R2 U R2 U2 R2

8- (U2) F2 L2 D' B2 D' B2 D2 L2 F2

9- R2 U2 R2 U' R2 U' R2

10- (U2) F2 R2 U' F2 U' F2 U2 R2 F2

11- F2 L2 D2 B2 D B2 D L2 F2

12- R2 D2 B2 D' B2 D' R2 F2 U F2

Opposite Right:

1-

2-

3-

4-

5-

6-

7-

8-

9- F2 U2 F2 U F2 U F2

10-

11-

12-

Diagonal:

1-

2-

3-

4-

5-

6-

7-

8-

9-

10-

11- R2 U B2 U R2 U' R2 U' B2 R2

12-

All Bars:

1-

2-

3-

4-

5-

6-

7-

8- R U R' F2 L D' L D L2 F2

9-

10-

11-

12-

Bar Right:

1- D B2 D' F2 D B2 D' F2

2-

3-

4-

5-

6-

7-

8-

9-

10-

11-

12-

Bar Front:

1- D' r2 U R2 U' r2 D R2

2-

3-

4-

5-

6-

7-

8-

9-

10-

11-

12-

*order*as this website:Opposite Front:

1- (U) R2 U’ F2 r2 U F2 U’ r2 F2

2- R2 U2 R' U R2 U' R' U' R U2 R2 U2 R U' R2

3- (U) R U' R' U R U2 R' U' R U R’

4- R’ L’ F2 R L D’ F2 R2 U’ L2 B2 R2 U2 L2

5- F2 R2 U2 F2 U F2 U R2 F2

6- R L U2 R L’ B2 U’ F2 L2 D’ L2 F2 U R2

7- (U2) R2 U R2 U R2 U2 R2

8- (U2) F2 L2 D' B2 D' B2 D2 L2 F2

9- R2 U2 R2 U' R2 U' R2

10- (U2) F2 R2 U' F2 U' F2 U2 R2 F2

11- F2 L2 D2 B2 D B2 D L2 F2

12- R2 D2 B2 D' B2 D' R2 F2 U F2

Opposite Right:

1-

2-

3-

4-

5-

6-

7-

8-

9- F2 U2 F2 U F2 U F2

10-

11-

12-

Diagonal:

1-

2-

3-

4-

5-

6-

7-

8-

9-

10-

11- R2 U B2 U R2 U' R2 U' B2 R2

12-

All Bars:

1-

2-

3-

4-

5-

6-

7-

8- R U R' F2 L D' L D L2 F2

9-

10-

11-

12-

Bar Right:

1- D B2 D' F2 D B2 D' F2

2-

3-

4-

5-

6-

7-

8-

9-

10-

11-

12-

Bar Front:

1- D' r2 U R2 U' r2 D R2

2-

3-

4-

5-

6-

7-

8-

9-

10-

11-

12-

**OPTIMAL PLL ALGORITHMS**(useful for FMC)Let’s go:

Aa- (x) R’ U R’ D2 R U’ R’ D2 R2

Ab- (x) R2 D2 R U R’ D2 R U’ R

E- L U' R D2 R' U R L' U' L D2 L' U R'

F- R2 F R F' R' U' F' U F R2 U R' U' R

Ga- F2 D R' U R' U' R D' F2 L' U L

Gb- R2 F2 U R2 D' R2 D B2 U' F2 B2 R2

Gc- B2 R2 L2 U' R2 U R2 D' R2 D L2 B2

Gd- L U L' B2 D' R U' R' U R' D B2

H- R2 F2 B2 L2 D' R2 F2 B2 L2

Ja- R2 D R D' R F2 L' U L F2

Jb- R2 D' R' D R' B2 L U' L' B2

Na- F2 U2 R2 U F2 U2 F2 R2 U R2 U2 R2 F2

Nb- R U' R2 F2 U' R F2 R' U F2 R2 U R'

Ra- R U2 R' U B L' B' R B L B' U R'

Rb- R2 F R U R U' R' F' R U2 R' U2 R

T- R2 U R2 D' F2 L2 U' L2 D F2

Ua- F2 U' R' L F2 R L' U' F2

Ub- F2 U R' L F2 R L' U F2

Y- R2 U' R2 U' R2 U F U F' R2 F U' F'

Z- R2 U' R2 U R2 B2 R2 U B2 U' R2 B2

Aa- (x) R’ U R’ D2 R U’ R’ D2 R2

Ab- (x) R2 D2 R U R’ D2 R U’ R

E- L U' R D2 R' U R L' U' L D2 L' U R'

F- R2 F R F' R' U' F' U F R2 U R' U' R

Ga- F2 D R' U R' U' R D' F2 L' U L

Gb- R2 F2 U R2 D' R2 D B2 U' F2 B2 R2

Gc- B2 R2 L2 U' R2 U R2 D' R2 D L2 B2

Gd- L U L' B2 D' R U' R' U R' D B2

H- R2 F2 B2 L2 D' R2 F2 B2 L2

Ja- R2 D R D' R F2 L' U L F2

Jb- R2 D' R' D R' B2 L U' L' B2

Na- F2 U2 R2 U F2 U2 F2 R2 U R2 U2 R2 F2

Nb- R U' R2 F2 U' R F2 R' U F2 R2 U R'

Ra- R U2 R' U B L' B' R B L B' U R'

Rb- R2 F R U R U' R' F' R U2 R' U2 R

T- R2 U R2 D' F2 L2 U' L2 D F2

Ua- F2 U' R' L F2 R L' U' F2

Ub- F2 U R' L F2 R L' U F2

Y- R2 U' R2 U' R2 U F U F' R2 F U' F'

Z- R2 U' R2 U R2 B2 R2 U B2 U' R2 B2

I’ve been thinking whether this is actually useful for 3x3 2H speedsolves today, I should do some practice and testing speedsolving this, and if it’s not good, then it’s still useful for FMC.

Last edited: May 25, 2019