The 3x3x3 Example Solve Thread

[Cubing Forever]

Method: Belt
R' F' R2 D2 L' // Belt (5/5)
E S U' S' U2 M U2 // 223 Block in BD (7/12)
y' F R U R' U' f' // EO (6/18)
R2 U' R2 U R' U2 R' U' R U' R // TDR (11/29)
y R' U' R U' R U2 R2 U' R2 U' R2 U R U' // ZBLL (14/43)

ACN

This was 43 moves with BELT

No next so I used this:
U2 B2 D' L2 D2 B2 R2 F2 U' F2 U' F2 R' B2 D' F R2 U L' D F' R'

Mehta-TDR: 45 STM
U2 r2 M' U M U' L U2 L' //FB
u U2 R2 U R u2 U R //3QB
U2 F' U2 F U' F R' F' R //EOLE
U R' U R U R' U R F R2 D' R U R' D R2 U' F' U' //TDR and ZBLL

Next: R' F R D2 B U2 F D2 B' L2 B L2 D2 F2 R B' D2 U' B F' R'

 

[LukasCubes]

No next so I used this:
U2 B2 D' L2 D2 B2 R2 F2 U' F2 U' F2 R' B2 D' F R2 U L' D F' R'

Mehta-TDR: 45 STM
U2 r2 M' U M U' L U2 L' //FB
u U2 R2 U R u2 U R //3QB
U2 F' U2 F U' F R' F' R //EOLE
U R' U R U R' U R F R2 D' R U R' D R2 U' F' U' //TDR and ZBLL

Next: R' F R D2 B U2 F D2 B' L2 B L2 D2 F2 R B' D2 U' B F' R'

B2 D2 B U' F // Belt
z2 U M' U2 M2 U2 M' S U S' // 123 Bottom
U2 S' U' S U' S' U' S // EO
U' R' U' R' D' R U R' U' D M2 // TDR
z2 D' r U2 r' D R2 U R' U R D U2 // ZBLL

// TDR and ZBLL cancel into eachother otherwise it would be R2 y2 R2 or R2 L2 y2 instead of M2 z2

45 Mover with BELT

ACN

Next: F U' R D2 F2 L2 B L2 R2 F2 U2 R2 B' U' B' L U2 R' F2 D

 

[ruffleduck]

Next: F U' R D2 F2 L2 B L2 R2 F2 U2 R2 B' U' B' L U2 R' F2 D

ZZ-COP 46 STM (with cancellations)

ZZ-COP 46 STM - CubeDB - Online Reconstruction Tool

x' // inspection
R U2 D L S L' // EOcross
L2 U2 L' U' L U' L2 // BL pair
R2 D' F2 D R2 // BR pair
R U' R' L' U L // FL pair
U M F R' F' R r U R' // CO
U' R U' r U r' U D R' U' R D' r U' r' R' // TTLL

Roux 45 STM (with cancellations)

roux - CubeDB - Online Reconstruction Tool

y2 z // inspection
U' F' D' F' R U2 r2 B // FB (8)
R' U' M R U' r U2 r M' U' r' U r // SB (13)
L F' L' U L' F' L U' L' F L // CMLL (11)
M U M U' M' U2 M2 U M2 U' M' U2 M U' M2 // LSE (15)

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

 

[tsmosher]

ZZ-COP 46 STM (with cancellations)

ZZ-COP 46 STM - CubeDB - Online Reconstruction Tool

x' // inspection
R U2 D L S L' // EOcross
L2 U2 L' U' L U' L2 // BL pair
R2 D' F2 D R2 // BR pair
R U' R' L' U L // FL pair
U M F R' F' R r U R' // CO
U' R U' r U r' U D R' U' R D' r U' r' R' // TTLL

Roux 45 STM (with cancellations)

roux - CubeDB - Online Reconstruction Tool

y2 z // inspection
U' F' D' F' R U2 r2 B // FB (8)
R' U' M R U' r U2 r M' U' r' U r // SB (13)
L F' L' U L' F' L U' L' F L // CMLL (11)
M U M U' M' U2 M2 U M2 U' M' U2 M U' M2 // LSE (15)

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

x2 y
U2 r' S2 R B b // FB (6)
U' S' U' S U' R U R' // dFR (8/14)
r' U' r U r' U' R // SBLS (7/21)
U2 M U2 M' U M // EOdM (6/27)
R' U' R U' R' U2 R // COLL (7/34)
d2 S U2 S U' S' U2 S' U2 // L5EP (9/43)

NEXT:
B U R2 U2 R2 B' R2 U2 F2 L2 U2 B L2 D2 R' U R2 U' F' U2 L'

 

[IsThatA4x4]

B U R2 U2 R2 B' R2 U2 F2 L2 U2 B L2 D2 R' U R2 U' F' U2 L'

CFOP (53 STM):
x2 y D2 R’ D’ L B L // Cross
R’ U2 R2 U R’ // Pair #1
U R’ U R L U L’ // Pair #2
U’ R’ U2 R U’ R’ U R // Pair #3
U2 y’ R U’ R’ U R U’ R’ // Pair #4
U R’ U’ F U R U’ R’ F’ R // OLL
U M2 U’ M U2 M’ U’ M2 U // PLL
*almost* rotationless

Next: F2 U R2 U' L2 D B2 R2 F2 L2 U' B D' B D L' R U' B' U

 

[LukasCubes]

CFOP (53 STM):
x2 y D2 R’ D’ L B L // Cross
R’ U2 R2 U R’ // Pair #1
U R’ U R L U L’ // Pair #2
U’ R’ U2 R U’ R’ U R // Pair #3
U2 y’ R U’ R’ U R U’ R’ // Pair #4
U R’ U’ F U R U’ R’ F’ R // OLL
U M2 U’ M U2 M’ U’ M2 U // PLL
*almost* rotationless

Next: F2 U R2 U' L2 D B2 R2 F2 L2 U' B D' B D L' R U' B' U

Method: Triangular Waterman

B2 D F2 y // 122 Block (3/3)
R2 F' U F2 U' R F2 R // I influence the Pseudo Triangle to get a much better 1LLS case or even a skip (7/10)
x y F' U M' U' F// E2L Pair (5/15)
x R2 U' M U // Single Edge (4/19)
R2 U M' U' // E2L Pair (4/23)
x M2 U M U M' U' M' // L5E DFR Set Alg 1 Move Offset (8/31)
U M U2 L' // Permute Midges (4/35)

Next: F B2 L U2 B2 L2 B2 L B2 D2 R2 D2 R' F D2 F L R2 D' F' L2

 

[carcass]

L' B F2 D' F2 L2 U' F2 D2 R2 U R2 D' F L2 F' R' D U B2 R

Mehta CDRLL, 51 STM
y2 x' //inspection
L' F' R' U' B U' L//FB
B' d' u R2 U' R' u2 R' u//3QB
U2 R B U' B' R'//EOLE
R U2 R U R' U R'//DCAL
U' R U' R2 D' r U2 r' D R2 U R'//CDRLL
U F2 U' r2 F2 R2 U' F2 r2 D'//L5EP & ADF
EDIT: sorry didn't see the other replies

 

[abunickabhi]

Mehta CDRLL, 51 STM
y2 x' //inspection
L' F' R' U' B U' L//FB
B' d' u R2 U' R' u2 R' u//3QB
U2 R B U' B' R'//EOLE
R U2 R U R' U R'//DCAL
U' R U' R2 D' r U2 r' D R2 U R'//CDRLL
U F2 U' r2 F2 R2 U' F2 r2 D'//L5EP & ADF
EDIT: sorry didn't see the other replies

z2 y
//edges DCJU NELQ BPLC
//corners JWFG BPRM TC

R2 D R E R' D M D2 r E' R //UF-DF-UR-LF-DB
F R S L S L2 S L S R' F' //UF-RB-LU-BL-LD
R2 M F' E2 F R' F E2 F' R' M' //UF-UB-FR-BL-UR

[F' , R U R2 U' R']
[U' R' U, L]
[U' D' : [R D R', U2]]
[R D : [R' U' R, D]]
[B2, R' F' R]

R U R' F' R U R' U' R' F R2 U' R' U' //parity

recon
Next: F2 B' U' L' U2 F' U B R F R2 B2 D2 L2 D2 B' D2 B2 R2 U2 R2

 

[tsmosher]

z2 y
//edges DCJU NELQ BPLC
//corners JWFG BPRM TC

R2 D R E R' D M D2 r E' R //UF-DF-UR-LF-DB
F R S L S L2 S L S R' F' //UF-RB-LU-BL-LD
R2 M F' E2 F R' F E2 F' R' M' //UF-UB-FR-BL-UR

[F' , R U R2 U' R']
[U' R' U, L]
[U' D' : [R D R', U2]]
[R D : [R' U' R, D]]
[B2, R' F' R]

R U R' F' R U R' U' R' F R2 U' R' U' //parity

recon
Next: F2 B' U' L' U2 F' U B R F R2 B2 D2 L2 D2 B' D2 B2 R2 U2 R2

Playing around with the ergonomics of solving FB on the right. This strange solve is the result.

x2 // in ETM
F' M' U L2 U l2 u L u U L' u2 // 223 (12)
z R U' F R' F' U2 r U R' U' r' U' R // NMSB (14/26)
U R U R' U R U L' U R' U' L // NMCOLL (12/38)
y' M' U M2 U M U2 M' U M' // NMELL (10/48)
d' R // untransform (2/50)

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

 

[LukasCubes]

z2 y
//edges DCJU NELQ BPLC
//corners JWFG BPRM TC

R2 D R E R' D M D2 r E' R //UF-DF-UR-LF-DB
F R S L S L2 S L S R' F' //UF-RB-LU-BL-LD
R2 M F' E2 F R' F E2 F' R' M' //UF-UB-FR-BL-UR

[F' , R U R2 U' R']
[U' R' U, L]
[U' D' : [R D R', U2]]
[R D : [R' U' R, D]]
[B2, R' F' R]

R U R' F' R U R' U' R' F R2 U' R' U' //parity

recon
Next: F2 B' U' L' U2 F' U B R F R2 B2 D2 L2 D2 B' D2 B2 R2 U2 R2

tell me more about this method please

 

[LukasCubes]

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

Method: Triangular Waterman
R2 E' L y // 122 Block (3/3)
F' R' U2 F R2 // Influence pseudo triangle for 1LLS good case (5/8)
F' U F // 1LLS (3/11)
x y r' U M U2 M' U // E2L Pair (6/17)
x S R2 S' // Single Edge (3/20)
U' M' U // E2L Pair (3/23)
x' M2 U' M' U M U' M // L5E Alg (1 Move Offset) (7/30)
U' M2 U2 R' // Permute Midges (4/34)

yes 34 moves, thanks for the scramble

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

 

[BenChristman1]

tell me more about this method please

It’s just 5-style.

 

[LukasCubes]

It’s just 5-style.

oh ok i know nothing outside of old pochman lol. Is there a place I can find all the algs?

 

[BenChristman1]

oh ok i know nothing outside of old pochman lol. Is there a place I can find all the algs?

@abunickabhi might have some of the algs, but as the Wiki page says, it’s a huge algset, and it’s definitely not worth learning unless you’re really serious about blindfolded solving. I’d recommend going from M2/OP to 3-style if I were you.

 

[LukasCubes]

@abunickabhi might have some of the algs, but as the Wiki page says, it’s a huge algset, and it’s definitely not worth learning unless you’re really serious about blindfolded solving. I’d recommend going from M2/OP to 3-style if I were you.

im not serious about blindsolving but I can use this for FMC

 

[abunickabhi]

im not serious about blindsolving but I can use this for FMC

In normal CFOP FMC when we get to a good skeleton or a 5C (5 corners), rather than try to insert two corner cycles in the solution and cancel moves, you can just do a 5-cycle of corners.
Or in Roux FMC, with a solved edge, you can do a 5-cycle finish to the LSE.
Although both these ideas don't make you insanely efficient instantly, and as @BenChristman1 said, the algsets are huge. Only super committed people, completely bored of 3-style or floating 3-style should dive into it.

 

[abunickabhi]

Method: Triangular Waterman
R2 E' L y // 122 Block (3/3)
F' R' U2 F R2 // Influence pseudo triangle for 1LLS good case (5/8)
F' U F // 1LLS (3/11)
x y r' U M U2 M' U // E2L Pair (6/17)
x S R2 S' // Single Edge (3/20)
U' M' U // E2L Pair (3/23)
x' M2 U' M' U M U' M // L5E Alg (1 Move Offset) (7/30)
U' M2 U2 R' // Permute Midges (4/34)

yes 34 moves, thanks for the scramble

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

z2 y
//edges FEOC TJRV XMKM
//corners TIBM AX

U F' U' f M F' U F U' M' S' //UF-BU-LU-RF-UR
D' R F R2 D2 R2 F R2 D2 R D //UF-DL-LF-BD-DR
[U' R' U, M'] [E', R' U' R]

[R U' : [D', R' U R]]
[U' D' : [R D' R', U2]]
[D R D' R' : [R' D R, U']]

y' R U R' U' R' F R2 U' R' U' R U R' F'//T perm parity

recon

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

 

[ottozing]

recon coming

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

x' y'
U L U' B2 (FB+1)
R' E R (3QB)
D' U' F R' F' R U2' F R' F' R (EOLE+DR)
y' R2 u' R2' (setup to thing)
u2' U R2' U' R2 U R2' (F2L+CP)
D U' R U R' U R' U' R2 U' R' U R' U R U' (EPLL)

Next - D2 F' R2 U2 F2 L B2 R B2 R2 D2 L' D2 R B' L D' B U' L2 R

 

[Cubing Forever]

Next - D2 F' R2 U2 F2 L B2 R B2 R2 D2 L' D2 R B' L D' B U' L2 R

Mehta-CDRLL: 50 STM
D R2 L' U' R' U F R' F' U2 F //FB
D' U' R u' R F R F' //3QB
u' R U' R2 S' U2 S R U2 R' U R' U R U' R' U R U2 R' // wtf am I doing
U' F2 U' r2 F2 R2 U' F2 r2 u' U2 //L5EP

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

 

[tsmosher]

Mehta-CDRLL: 50 STM
D R2 L' U' R' U F R' F' U2 F //FB
D' U' R u' R F R F' //3QB
u' R U' R2 S' U2 S R U2 R' U R' U R U' R' U R U2 R' // wtf am I doing
U' F2 U' r2 F2 R2 U' F2 r2 u' U2 //L5EP

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

y2 z'
L2 B2 l' E' u L2 U' L u // SB + dBL (9)
F U' F' U2 L' // NMFB (5/14)
F' r U R' U' r' F R // NMCMLL (8/22)
U' M' U' M' U2 M2 // EOdM (6/28)
U' S2 U' S2 U' S U2 S' // L5EP (8/36)
L' // ALF (1/37)

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