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2OP, Unique 3x3 Method

Joined
May 27, 2018
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WCA
2018ISOM02
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Thread starter #1
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 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

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
|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 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


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:
Joined
Jan 4, 2018
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YouTube
PapaSmurf Cubes
#4
Just do eo2x2x2. Should be possible. Also, you could use a variation on OL5C from SSC to optimise steps 3 and 4. The last 2 steps should be good, although maybe weird ergonomics.
Very good idea though.
 
Joined
May 27, 2018
Messages
280
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178
Location
United States
WCA
2018ISOM02
YouTube
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Thread starter #5
Yes, I was first thinking of EO2x2x2 but I thought it might be too much to plan in inspection so I split them up, if you guys day it’s possible then ok! (I’ll edit the post)
Edit: Just saying, In the random notes section, under the “To be faster with this method:” I said this about EO- “even solve it simultaneously w/ 2x2x2”
 
Last edited:
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