The 3x3x3 Example Solve Thread

[ProStar]

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

/* Scramble */
U2 B' L2 B' D2 L2 F L2 U2 B' R2 U R' U L' R F2 D B U2 B'

/* Solve */
z2 y // Inspection

B2 D' U' M2 U L' U2 M' // LB

x' U2 M U M R2 F' U F // EO

R' U R U R U2 R U M2 R U' R' // RB

U M' U2 M' // Stripe

U' R' U2 R U R' U R // ZBLL

// View at alg.cubing.net

40 STM

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

 

[Devagio]

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

YruRU

x' // inspection
S2 U' F' U' F // CP-line (5/5)
E' r2 R u r // pEO extension (5/10)
U' r U R' U r R2 U' r2 // EOBF (9/19)
R' U' R' U R' U R2 U R U2 R // F2L (11/30)
U2 R2 U R2 U2 R' U' R U' R U' R U' R2 U2 R' // 2GLL (16/46)

Fairly average solve (first four step just slightly luckier than usual, quite unlucky 2GLL)

pEO extension explanation:
This one is pretty simple
E' // aligning all three extension pieces in one line
r2 R // connecting them
u // inserting the extension, happens to put a bad edge in UB, which is nice since centres are improper
r // making centres proper and putting an oriented edge in DB

Note that beginning with u' R2 doesn't work so efficiently since the extention will be flipped, so the full solution in that case will have to be
u' R2 // connecting a centre and an edge
U' r2 // flipping the extension while keeping the third piece in the top layer (u' R2 also works)
u2 R' u // finishing extension
r' // since DF is bad and centres are improper (r also works since UB is also bad)
This took 8 moves instead of 5/6, since we had to use 2 moves in flipping the extension.

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

 

[ProStar]

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

/* Scramble */
L' D' L2 F D2 U F B' L2 B D2 B2 R L U2 L' F' D F R U' F2 B L F

/* Solve */
R' D R' F2 D' R2 F' L F L' // LB

y Rw' U M // EO

R' U Rw2 R U' R' U' R' U R // RB

U M U2 M' U2 M2 // Stripe

y2 L U' R' U L' U' R2 U2 R' U' R U' R' U // ZBLL

// View at alg.cubing.net

ZBLL ruined sub-40


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

 

[Athefre]

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

Roux+A3:

x D F' R2 B2 F2 U F2
R2 r' U' R2 U' R' U' R
U L U' R' U' R2 F2 R U F' r U' R
M U M' U' M' U M2 U M' U2

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

 

[ProStar]

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

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

/* Solve */
z2 y // Inspection

F2 // Almost Cross

U' R' U' R // 1st Pair

F U F2 L F L' // 2nd Pair

M2 U2 M2 U2 R U' R' // 3rd Pair + Cross

y U2 R' U R U' R' U' R // 4th Pair

y' r' U' r R' F R' F' R2 r' U r // OLLCP

U' M2 U M U2 M' U M2

// View at alg.cubing.net


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

 

[Devagio]

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

YruRU

z // inspection
r U r f' F' // CP-line (5/5)
u R u2 U R u' r2 // pEO extention (7/12)
R U R' U' r' U' r2 U' r U R' U' r2 // EOBF (13/25)
R2 U' R2 U' R U R' U' R' U' R2 U R2 U2 // 2-gen finish (14/39)

All CP-lines except this one were terrible, bad pEO extension, terrible EOBF; I'm amazed it was only 25 moves to <R,U> reduction without any fancy tricks.
Did tons of fancy tricks in 2gen finish though because I badly wanted the solve to be sub 40.

pEO extension explanation:
Clearly this looks like a terrible case, all piece connected yet misoriented. This will be a really instructive solution.
u R // connecting one of the edges to the centre, ensuring the other edge remains in the top layer. We did u R and not u' R' so that we will not need to flip the extension bar later.
u2 U R // Connecting the other edge.
u' // Placing the extension.
r2 // Centres are proper and we do not know what is in DB yet, so just to be sure that DB is good, we do an r2.
Such a terrible looking case done in 6-7 moves with simple connecting, definitely a worthwhile lesson in pEO extension.

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

 

[BenChristman1]

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

x2 (yellow top, blue front) // Inspection (0.0)
U2 R' F L' U' L' // Cross (6,6)
y' (yellow top, orange front) L U' L' // F2L 1 (3,9)
U R U' R' U2 y (yellow top, blue front) L' U' L // F2L 2 (8,17)
D2 R' F R F' D2 // F2L 3 (6,23)
U L U L' U' L U L' // F2L 4 (8,31)
U2 R U R' U R U2 R' F R U R' U' F' // OLL (14,45)
M2 U M2 U M' U2 M2 U2 M' U' // PLL (10,55)

alg.cubing.net

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

 

[Cuberstache]

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

YruRU, 45 STM

x' y2 // Inspection
F2 u' F R S // CPLine
u R2 U' R u2 r2 // pEO Extension
U' R U r U' r // EO
U' R U r2 // BF
U2 R' U R U' R2 U R // F2L
U R U2 R' U' R U' R' U2 R' U2 R U R' U R // 2GLL

NEXT: L F' L2 B2 U2 L2 D L2 D R2 D L' B2 F' D' U' L2 D

 

[BenChristman1]

NEXT: L F' L2 B2 U2 L2 D L2 D R2 D L' B2 F' D' U' L2 D

x2 (yellow top, blue front) // Inspection (0,0)
D2 R' D R D2 // Cross (5,5)
U R U R' U L U L' // F2L 1 (8,13)
U R' U R U L' U' L // F2L 2 (8,21)
U (R U R' U')2 R U R' U2 // F2L 3 (13,34)
y (yellow top, red front) R' F R F' // F2L 4 (4,38)
U' l' U' L U' L' U2 l // OLL (7,45)
U R2 F R U R U' R' F' R U2 R' U2 R U // PLL (15,60)

alg.cubing.net

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

 

[RedstoneTim]

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

Waterman, 37 STM

y' z
R D2 F2 D' // Layer-edge
R D' F D F' D R' D' R' D R' D' // WCLL
M2 R' U' M' U // Redge
R' U M2 U' r2 M' U' M U2 M U M U M2 U M // LSE

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

 

[fun at the joy]

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

z
Fw U F2 R' D2 // 222
R' U' F2 // 223
x2 z' R F R2 F' // eo
R U2 R2 U R2 U' R' U' R' // f2l
U' R U R' U L' U R U' L U2 R' U // ll
34

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

 

[Devagio]

R2 F2 U2 L' F2 D2 R B2 R2 D2 R' D2 U' L2 R2 B U L U2 R F2

YruRU

y' // inspection
U2 R2 S2 U F' // CP-line (5/5)
R u R' U2 r2 R' u2 // pEO extension (7/12)
U2 R2 U r' U' r2 U r2 U2 r // EOBF (10/22)
U2 R U' R' U R U' R2 U R // F2L (10/32)
R U R' U R U2 R' U' R' U2 R U R' U R U2 // 2GLL (15/47)

Unluckyish CP-line, okayish extension and EOBF, luckyish F2L, okayish 2GLL.

pEO extension explanation:
R // connect an edge to the centre
u R' U2 // connect the other edge
r2 // centres are proper and UF is good so placing DB right away
R' u2 // inserting extension
There is actually a 6 move pEO extension, however it is quite unintuitive.

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

 

[Cuberstache]

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

YruRU, 49 STM

z' // Inspection
r' U' R' f' // CPLine
u R2 u R2 E' // pEO Extension
r' U r U2 r' U r' // EO
U2 r U2 r // BF
R U R' U2 R2 // Square
U R' U' R U' R' U' R // F2L
U' R U2 R' U' R U' R' U R U R' U R U2 R' // 2GLL

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

 

[MichaelZRC]

Terrible PCMS for the lols
74 STM
x2 U F' U F'//First CE pair
R' U' R U2 R U' B//Second CE pair
R2 U R2 U2 R' U' r' U' r//Third CE pair
R U' R' U2 M U M2 U' R U2 R'//Third CE pair
U' R U R' U R U2 R2 U' R U' R' U2 R//CLL
M S' U2 S U M U2 M'//M and S
U2 M' U M//EO
U2 M' U2 M U' M' U2 M//whoops (attempt at l5ep)
U' M2 U M U2 M' U M2//EPLL
U//AUF
NEXT:L2 B' L2 B2 U2 F' R2 B' U2 L2 F' D L' U2 L R D R U' L

 

[ProStar]

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

Good PCMS for the lols

45 STM

/* Scramble */
L2 B' L2 B2 U2 F' R2 B' U2 L2 F' D L' U2 L R D R U' L

/* Solve */
R' U L' E M' // First 2 Pairs

x' U2 M2 B' // 3rd Pair

U2 B U2 B' U' y R' D r2 U' R2 U r2 U2 D' R' // CMSLLLS

M' U' M' U2 M' D' M D // EO

U2 M2 U' S U2 S // B3E

U2 M' U2 M U' M' U2 M // L5EP

// View at alg.cubing.net


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

 

[Cuberstache]

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

YruRU, 51 STM

x' y2 // Inspection
R F' r2 U' S' // CPLine
U' R r u R2 U' u' R u' // pEO Extension
R r U' r' // EO
R' U' R U' r2 // BF
U R2 U' R' // Square
U2 R' U2 R U2 R' U R // F2L
U R' U2 R U R' U R U R' U' R U' R' U2 R // 2GLL

@Devagio How could this pEO extension have been better?

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

 

[ProStar]

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

/* Scramble */
R2 F2 D' B2 D' R2 D L2 U' F2 D2 F2 R' F L U2 L' U' B2 L' U2

/* Solve */
z2 // Inspection

B R2 U' L B R2 // LB

y R2 U r2 U M' U M' // EO

U R U2 R U' R' U2 R' U' R // RB

U2 M U2 M' // Stripe

y R' U' R' D' R U R' D R U' R U' R' U2 R U' // ZBLL

// View at alg.cubing.net


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

 

[Devagio]

YruRU, 51 STM

x' y2 // Inspection
R F' r2 U' S' // CPLine
U' R r u R2 U' u' R u' // pEO Extension
R r U' r' // EO
R' U' R U' r2 // BF
U R2 U' R' // Square
U2 R' U2 R U2 R' U R // F2L
U R' U2 R U R' U R U R' U' R U' R' U2 R // 2GLL

@Devagio How could this pEO extension have been better?

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

This is quite a good case actually.
u2 r // connecting one edge. This is better than R r' since the latter keeps the other edge in the D layer while we want it in the U layer. Also, this puts an oriented edge in DB while making centres proper. Its good to have a habit of checking UB before doing r and DF before doing r' during this step, since if this happens to solve DB, you just have to not use r moves anymore to preserve DB and centres. Note, R r doesn't work so well since we will have to flip the bar at some point.
U' R u' // rest of extention

Solution: u2 r U' R u'

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

YruRU

y' // inspection
U' f' U' F // CP-line (4/4)
M u r' R' u // pEO-ext (5/9)
R U' r U R2 U' r R U' r2 // EOBF (10/19)
U R' U R2 U' R U R U' R' // F2L (10/29)
z U R U' R U' R2 U2 R U2 R U2 R' U' R' // 2GLL (14/43)

Average 2 gen reduction with awesome pEO extension, lucky F2L, okay 2GLL.

pEO explanation:
The edges seem really weirdly placed wrt the centre, but look again.
M // Getting the centre to the top to align everything!!
u r' // Connecting one edge (while doing pEO)
R' u // Finishing extension

By the way, here is a 33-mover with the same 2-gen reduction:
y' // inspection
U' f' U' F // CP-line (4/4)
M u r' R' u // pEO-ext (5/9)
R U' r U R2 U' r R U' r2 // EOBF (10/19)
U2 R U' R2 U2 R U2 R' U R2 U' R2 U R2 // 2-gen finish (14/33)

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

 

[ProStar]

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

PCMS, 46 STM

/* Scramble */
D2 R2 L2 D' B' R2 U2 F U' R U' F B2 L2 F' R2 L B F2 D2 R B' L R2 U

/* Solve */
U2 L2 R D R' F' B L2 // First 2 Pairs

x2 F2 U S U' R U' R' // 3rd Pair

U2 S2 F R U R2 F R F' R U' R' U2 F' // CMSLLLS

y U M S' U2 S M U2 M' // F2L

y M' U' M' U2 M U' M2 U' M' // ELL

// View at alg.cubing.net


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

 

[ProStar]

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

Bad, 51 STM

/* Scramble */
R' U' F' L' F2 U2 L2 R' D2 L2 B2 U2 B2 L B' R' F D' F' U

/* Solve */
x2 // Inspection

F' U' F2 L2 B' S2 U' F' U' R U R' // First 3 Pairs

U' B' U' S U' B // 4th Pair

U2 r U' r' F U2 r2 F r U' r // CMSLL

U' S U' D' M D M' // EO

y2 U2 S' M' U M U2 S y U2 S' M' U M U2 S U2 // Solved

// View at alg.cubing.net


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