The 3x3x3 Example Solve Thread

[Silky]

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

Method: SSC-EZD

x' S U2 R' U -- Psuedo Pair + Triplet (4)
R (U D) R U' R (U' D) r' -- OL5C (7/11)
D F2 D' R2 -- Corner Separation (4/15)
L2 U L2 U' L2 U L2 U L2 U2 L2 -- Corner Permutation (11/26)
M' (U' D) M U2 M U' M' -- EOS (7/33)
M2 S D2 M' U M2 D' M D2 S -- EZD (10/43)

Been in the mood to generate Edge Orientation and Separation (EOS) and EZD Parity algs.

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

 

[Neuro]

Method: SSC-EZD

x' S U2 R' U -- Psuedo Pair + Triplet (4)
R (U D) R U' R (U' D) r' -- OL5C (7/11)
D F2 D' R2 -- Corner Separation (4/15)
L2 U L2 U' L2 U L2 U L2 U2 L2 -- Corner Permutation (11/26)
M' (U' D) M U2 M U' M' -- EOS (7/33)
M2 S D2 M' U M2 D' M D2 S -- EZD (10/43)

Been in the mood to generate Edge Orientation and Separation (EOS) and EZD Parity algs.

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

Method: 2GR

x' y f2 U' f U2 S2//EOPair
U' R F2 U F2//CPLine
U2 R u2 U R2 u U R2 E' R2 u2 r2//2x2x3
U2 R U' R U R//F2L
U R U R' U R U2 R2 U2 R U R' U R U//2GLL (43 STM)

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

 

[BenChristman1]

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

Petrus, 44 STM (41 w/ cancellations)
U' L2 U B // 2x2x2
U F' R' U' R f' U f // 2x2x3
U' R' F R F' U' F L' U' L // EO
y' U' R U' R' U R (U' R') // F2L
(R U2) R' U' R U' R' // OLL
M2 U' M' U2 M U' M2 // PLL
ACN

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

 

[Timona]

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

CFOP
x2 // inspection
R2 L2 F D' L U R' U R // xCross
U' R L' U L R' // 2nd pair
y' R' U2 R // 3rd pair
y' U' R U2 R' U2 R U' R' // 4th pair
U R U R' U' R' F R F' // OLL
U' R2 U' S' U2' S U' R2 U' // PLL

44STM, recon

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

 

[abunickabhi]

CFOP
x2 // inspection
R2 L2 F D' L U R' U R // xCross
U' R L' U L R' // 2nd pair
y' R' U2 R // 3rd pair
y' U' R U2 R' U2 R U' R' // 4th pair
U R U R' U' R' F R F' // OLL
U' R2 U' S' U2' S U' R2 U' // PLL

44STM, recon

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

z2 y
//edges VOFE NDUL QGKB
//corners UTES IV

[U F':[U,S'][U,S']] //UF-DR-RF-BU-LU
[F R2 F' E':[M',F2][F R2 F',E]] //UF-RB-DF-DB-BL
[U F L' U2:[L',E']]//UF-LD-RU-LB-UB

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

recon

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

 

[Brest]

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

y x2
R' D U2 R' F
L U' L' D2 L' U' L u
L U' L'
U R' U R U' R' U' R
U' R' U' R U' R' U F' R U R' U' R' F R2 U' R' U R U'

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

 

[Timona]

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

CFOP
z2 // inspection
F' R' D U R' F // cross
U2 R' F R F' R' U' R // 1st pair
U2 L' U' L2 U L' // 2nd pair
U R U' R' U' L' U' L // 3rd pair
U2 F' U F // 4th pair
U' F R U R' U' F' R' U' R' F R F' U R U // ELL

Reconstruction

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

 

[Brest]

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

x2 y
D' M2 D R'
D' R U' R'
u' U' R U R' U R U' R' D2
d R U R'
f R U R' U' f' U L' U' L
U' R' U2 R U R' U R U' R' U2 R' D' R U2 R' D R2 U2

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

 

[Silky]

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

Method: SSC-M

y (U' D) M2 (D' U) M // Pseudo Pair + Triple (4)
(U2 D) R (U' D) R // OL5C (4/8)
U2 R2 U (R r) // CTL (5/12)
D2 F r2 U' F' R2 F U r2 F' // CP (10/22)
D' M' D' M D' // DL + DR (5/27)
M2 U' M' U' M U' M' U2 M' U' M' U2 M2 U2 M' // L6E (15/42)

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

 

[DuckubingCuber347]

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

ECE (I don't know the name of the different variants):
y2 // inspection
L' F D2 R' // Pseudo pairs (4/4)
U M U M' // EO + pair creation (4/8)
U2 R' U' D' R2 U R // SLS (7/15)
l2 d' R2 E' R' U R' U' R u' R2 F' U F // 6CP (14/29)
U' M U2 M U' M2 U2 // L6E (7/36)
36STM

Very happy with this solution. One of, if not the, most beautiful solutions I've ever done. Everything was intuitive except for SLS. CP is multiple cancellations into the wide-u variation of Ga which permutates multiple edges to give a favorable L6E. EO+pair creation was pure luck and it took me an odd amount of time to see. SLS is objectively better and more efficient than WV with little exploration. Pseudo pair was pretty easy as there were a lot of orientated corners. L6E is a very easy UR/UL case with a predictable 4c skip.

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

 

[abunickabhi]

ECE (I don't know the name of the different variants):
y2 // inspection
L' F D2 R' // Pseudo pairs (4/4)
U M U M' // EO + pair creation (4/8)
U2 R' U' D' R2 U R // SLS (7/15)
l2 d R2 E' R' U R' U' R u' R2 F' U F // 6CP (14/29)
U' M U2 M U' M2 U2 // L6E (7/36)
36STM

Very happy with this solution. One of, if not the, most beautiful solutions I've ever done. Everything was intuitive except for SLS. CP is multiple cancellations into the wide-u variation of Ga which permutates multiple edges to give a favorable L6E. EO+pair creation was pure luck and it took me an odd amount of time to see. SLS is objectively better and more efficient than WV with little exploration. Pseudo pair was pretty easy as there were a lot of orientated corners. L6E is a very easy UR/UL case with a predictable 4c skip.

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

z2 y
//edges BIRK OVGN TDAQ
//corners ETCM BVUH

[U2,F' E F][F' E:[F M,M F]] //UF-UB-FL-BD-LB
[E F R:[R,E']] //UF-RF-DR-RU-RB
[R' F' : [R' S' R, F2]] [U, L' E' L]

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

recon

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

 

[Silky]

ECE (I don't know the name of the different variants):
y2 // inspection
L' F D2 R' // Pseudo pairs (4/4)
U M U M' // EO + pair creation (4/8)
U2 R' U' D' R2 U R // SLS (7/15)
l2 d R2 E' R' U R' U' R u' R2 F' U F // 6CP (14/29)
U' M U2 M U' M2 U2 // L6E (7/36)
36STM

Very happy with this solution. One of, if not the, most beautiful solutions I've ever done. Everything was intuitive except for SLS. CP is multiple cancellations into the wide-u variation of Ga which permutates multiple edges to give a favorable L6E. EO+pair creation was pure luck and it took me an odd amount of time to see. SLS is objectively better and more efficient than WV with little exploration. Pseudo pair was pretty easy as there were a lot of orientated corners. L6E is a very easy UR/UL case with a predictable 4c skip.

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

Excited to see more SSC/ECE solves There's a mistake on 6CP, Dw' not Dw.

 

[Brest]

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

y
U' F' R' F
U' L' U L'
D2 R' D'
R' U R
U' R U' R' y' U' R' U' R
U L' U L
y' U' R U R' F' r F R' U R F' r' F U'

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

 

[tsmosher]

y
U' F' R' F
U' L' U L'
D2 R' D'
R' U R
U' R U' R' y' U' R' U' R
U L' U L
y' U' R U R' F' r F R' U R F' r' F U'

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

U2 R' U' S2 r' U2 r2 // FB (7)
E' U' R' u // 3QB (4/11)
R U R U' R2 // RB (5/16)
U r' F' r U r U' r' F // CLL (9/25)
S' U' S // EO (3/28)
M2 U2 M U M2 U M2 U M // EPLL (9/37)
U' R2 // AUF & untransform (2/39)

NEXT: D2 R2 F' L2 U2 B' R2 U2 B' D2 F L B' R2 F' L' B' U L D'

 

[Brest]

NEXT: D2 R2 F' L2 U2 B' R2 U2 B' D2 F L B' R2 F' L' B' U L D'

L2 D' L' D L
R U' R' U' R d' L' U' L
R F' U' F2 R2 F'
U' R' U2 R U R' U' R
R U' R' U' R U R D R' U2 R D' R' U' R' U2

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

 

[abunickabhi]

L2 D' L' D L
R U' R' U' R d' L' U' L
R F' U' F2 R2 F'
U' R' U2 R U R' U' R
R U' R' U' R U R D R' U2 R D' R' U' R' U2

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

z2 y
//corners QDIO ASFH
//edges OGQI KBXA UE

[U' R' F':[D M',M' D]] //UF-RF-RU-LD-FL
[F' E F,U F2][U:[M',U]]//UF-LB-UB-FD-UL
[D : [S, L F' L']]


[D' R D : [U, R' D' R]]
[R, U' L U]
[U' : [R B R', F2]]
[R B' R', F]

[R U R' U: R U R' F' R U R' U' R' F R2 U' R' U'] U2 //parity N perm

recon

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

 

[Nevan J]

x' // inspection
L F' D' L' U' L' U R L' U2 L R // XXCross
U R U' R' f R f' // 3rd pair
y' U R' U2 R U2R' U R // 4th Pair
U l' U2 L U L' U' L U L' U l // OLL
R U R' F' R U R' U' R' F R2 U' R' // PLL
U2 // AUF

reconstruction

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

 

[Brest]

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

y'
L' U2 L D2 R u
R2 r' U r' U R'
U M2' U2 r' U' r
F' r U r' U2' r' F2 r
U' M' U' M
U M U2 M' U'
M U2 M U2 M2' U'

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

 

[Neuro]

y'
L' U2 L D2 R u
R2 r' U r' U R'
U M2' U2 r' U' r
F' r U r' U2' r' F2 r
U' M' U' M
U M U2 M' U'
M U2 M U2 M2' U'

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

FMC, 30 HTM

Skeleton (pre-moves = D' U'):
L' D B' R2 F//3 Pairs and EO (5/5)
R' D' B2 L' U2//Pseudo 2x2x3 (5/10)
R2 D' R D R' D2 R' D2//Pseudo AB5C (8/18)

Insertions:
L' D B' R2 F
R' D' B2 L' U2
-(U' L2 U R2 U' L2 U R2)-
R2 D' R D -(D L D' R2 D L' D' R2)- R' D2 R' D U'

Cancellation, Final Solution:
L' D B' R2 F R' D' B2 L' U L2 U R2 U' L2 U D' R D2 L D' R2 D L' D' R D2 R' D U'

Alternatively, a 35 HTM linear solution using the skeleton:
L' D B' R2 F//3 Pairs and EO
R' D' B2 L' U2//2x2x3
R2 D' R D R' D2 R' D2//AB5C
B' R F' R' B R F R'//AB3C
F' U' F D F' U F D2 U'//Solved

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

 

[Brest]

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

z y
L' D' R' F' L' R
y' L' U L2 U' L'
D2 R U' R' D2 L U' L' D
d R U2 R' U2 R U R' U2 R' F R F'
R U2 R' U' R U' R' U'

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