The 3x3x3 Example Solve Thread

[JTWong71]

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

35 STM
F' L' U f //EOLine (Left)
D R U' R' U' R D2 //2x2x2 Block
R U' R' U R D' R //F2L-1
y U R U' R' U2 //Setup WV
R U R2 U2 R2 U R2 U R2 U' R' U2 //Cancel into EPLL

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

 

[JWinslow23]

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

45 STM
L' F' D' R2 U2 F D B2 // EOLine
U L' R' U2 L' U2 L' E' F U2 F' E // left side F2L
R U2 R' U2 R U' R' U R2 U R' U' R // right side F2L
B' L F2 R2 D' F D F' R2 F2 L' B // 1LLL

Forgive me, this is my first time trying ZZ for a solve. I could never do this as a speed method.

Now let's see where my usual FMC method takes me:
30 STM
D R2 L' * D2 B' // 2x2x2 block
U2 M F M' // expand 2x2x3
D' F' R' D2 R U' F' U L' F' D // to L5C

Insert at * = R2 B2 L ** U2 L U2 L2 B2 R D2 R D2
Insert at ** = L' B2 L F' L' B2 L F

I suppose I'm not good at ZZ .

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

 

[JTWong71]

45 STM
L' F' D' R2 U2 F D B2 // EOLine
U L' R' U2 L' U2 L' E' F U2 F' E // left side F2L
R U2 R' U2 R U' R' U R2 U R' U' R // right side F2L
B' L F2 R2 D' F D F' R2 F2 L' B // 1LLL

Forgive me, this is my first time trying ZZ for a solve. I could never do this as a speed method.

The first try for something is always the hardest, but then it gets easier. If you are going to try ZZ more, then work on blockbuilding with EO Pre-Solved. The thing after that is just your EOLine, and maybe partial color neutrality.

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

26 STM (Technically 24 STM with the double moves) with ZZ. That was a pretty easy scramble with the free block.
y z2 //Inspection
M2 F L F2 R' U' F' //XEOLine
(R' L) U L2 U' (L' R)//F2L-1
U2 R' U2 //Winter Variation
x U R' D2 R U' R' D2 R2 B' //CPLL

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

 

[Petro Leum]

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

x2 y'// Inspection
B' R D' R' F' D2 // EOLine and pair preserved (6/6)
U' L U L' U R2 U2 L U L U L //Left Block (12/18)
R' U R U' R U' R U R U R U' R' U' R U' R' //Right Block + Phasing (17/35)
U' F R U R' U' R U R' U' R U R' U' F' //ZZLL (15/50)

8.35 seconds, 5.99 TPS

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

 

[Lazarus Holl]

Freefop/Roux Hybrid:

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

Inspection: z2
Semi Cross: L D B U B' R2 D2
Pair 1: Bw U Bw' U2 R U2 R' U2 R U R' U'
Pair 2: U F U F' B' U' B
Pair 3: R' U2 R U' B U B'
Pair 4: U L' U' L
Corners: U2 F R U R' U' F' U' T-Perm U
Edge Cycling: Dw' U' M' U M
Cross: U' M' U2 M
Ub Perm: M2 U M U2 M' U M2

 

[JTWong71]

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

34 STM
M2 D' F2 U2 L2 U F' //XEOline
R2 U2 R U R' U //BR Block
R' U R' //F2L-1
U2 L U2 L2 //Last Slot
U2 L U' R U2 L' U' L U L' U R' L U2 //Cancel into ZBLL

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

 

[SimonV]

CFOP in 46:

x2 // inspection
B R B' U' B' L2 R' F R2 U' R2 U2 R L' U L B' U2 B // cross & 1st-3rd pairs
U' y R U' R' U d R' U2 R U' R' U2 R // 4th pair & anti-Sune
y' R U R' F' R U R' U' R' F R2 U' R' U // J-perm

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

CFOP
https://alg.cubing.net/?setup=U_R-_..._r-_F_R_F-)_U2_(R-_U_L-_U2_R_U-_R-_U2_R_L)_U-

x2 // inspection
u' B' L2 U F2 // cross
y U' (R U R' U')(R U R' U')(R U R' U') // 1st pair, (y U') is performed in a 'd' like movement.
R U R' L' U L R U' R' R U2 R' y R U' R' // 2nd and 3rd pair
U2 y' R U' R' y L' U2 L U // 4th pair
(F (R U R' U') F') (r U R' U' r' F R F') // OLL (2 look)
U2 (R' U L' U2 R U' R' U2 R L) // PLL (Ja)
U' // AUF

 

[JWinslow23]

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

Solution: 27 STM
D2 L2 F R' F' B' R D' R S z' // 2x2x3 block
R F' U2 F U2 F' U' F R2 U R' U2 R' F R F' U2 // F2L

Wow, this was actually the shortest and easiest solution I've done for FMC. The blocks basically built themselves (but it took a little fiddling around at the end to get that LL skip lol).

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

 

[JTWong71]

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

37 STM, using Keyhole-Roux
y' x' //Inspection
R2 U F' M' B D B2 //First Block
D R' U2 R D' R U' //Corners
r U r U2 r' U' R' //RF/RB Edges
r2 U M2 U' r2 //Second Block
M' U M' U M' //EO + L/R Edges
U M2 U2 M' U2 M' //M-Perm

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

 

[porkynator]

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

L R' F //2x2x1
D' B' R' L' F //2x2x2
L2 B L' B2 //2x2x3 + EO
F' U2 F //Setup to LL case
B D2 B' D' B D B' D' B D' B' //LL
F' U2 F //Anti-setup
D' B' D L2 //Finish solve

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

 

[Attila]

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

R B2 D2 F R2 D U' B' R F R2 D' F' L2 R2 B D' L2 R2 D U R2 F2 23 moves

First, I found a 7-move corner solution on inverse:
( F L' U' F' D2 F2 R')
switch to normal:
R F2 D2 F U L F'
Based on this, I found the following solution:

R B2 D2 F R2 D U' B' R F' all corners and orient all edges,
F2 R2 D' F' L2 R2 B domino reduction,
D' L2 R2 D U R2 F2




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

 

[JTWong71]

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

29 STM
z2 //Inspection
E2 L' F' //EO
U L2 D' R F2 D' //2x2x2 Block + Setup
L2 //2x2x3 Block
D R2 //F2L-1
U R2 U' R' U R U' R D' //F2L + Preserve Block
U' L' U R U' L U R' //ZBLL (L3C)

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

 

[S1neWav_]

29 STM
z2 //Inspection
E2 L' F' //EO
U L2 D' R F2 D' //2x2x2 Block + Setup
L2 //2x2x3 Block
D R2 //F2L-1
U R2 U' R' U R U' R D' //F2L + Preserve Block
U' L' U R U' L U R' //ZBLL (L3C)

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

44 HTM With CFOP
z2 //Inspection
L' F' L2 D R' D L //Cross
U' R U R' U R U2 R2 U R //First pair
U2 R U' R' U' L U' L' //Second pair
L' U' L R U R' U2 L' U' L U' L' U L //Third pair
U R U R' U' R U R' // Fourth pair
U F (R U R' U')2 F' //OLL
U y R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R //PLL (F Perm)
I can do all big 4 methods but this is the one I learned first and have practiced with.
Next: Puzzle: 3x3x3
Scramble: R U B L2 F' D' L' D2 B' R' F2 U2 B2 U2 B2 R2 U D2 R2 L2 B2

 

[Attila]

Next: Puzzle: 3x3x3
Scramble: R U B L2 F' D' L' D2 B' R' F2 U2 B2 U2 B2 R2 U D2 R2 L2 B2

L' R' B F L2 R' orient corners,
F L B F' D R2 U L R' F' domino reduction,
R2 B2 R2 U2 B2 U2 B2 U' R2 D2


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

 

[S1neWav_]

L' R' B F L2 R' orient corners,
F L B F' D R2 U L R' F' domino reduction,
R2 B2 R2 U2 B2 U2 B2 U' R2 D2


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

What solution do you use? I've never seen anything quite like it before!

 

[Attila]

What solution do you use? I've never seen anything quite like it before!

I use corners first method.
Read about it here:
http://fmcsolves.cubing.net/fmc_tutorial_ENG.pdf page 35
about domino reduction: page 34

 

[porkynator]

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

z2 y R2 L D B' //EO (4/4)
L' U R2 D2 U' R U D' //F2L-2 -1 move (8/12)
R U L' U L U R //F2L-1 (7/19)
U L' U' L U2 //All but 4 corners (5/25)
L2 U R U' L U R' U'
L2 F R' F' L' F R F' //Last 4 corners (16/41)

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

 

[Daniel Lin]

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

z x// inspection
D R' F L F'// cross
L' U' L U y' L U L'// F2L #1
U R U' R' L' U L// F2L #2
R' U2 R U2 R' U R// F2L #3
R U2 R' U2 R U' R'// F2L #4
U R' U' F U R U' R' F' R// OLL
U R U R' y' R2 u' R U' R' U R' u R2 U'// PLL
56 HTM

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

 

[Cale S]

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

R' // square
(D R) // roux block
(D2 B2 D' F2) // xxcross
R' L U' L' R (U2 R' U' R U) // to 5 twisted pieces

R2 L U' L' R U' @ R' U R U2 F2 D B2 D2 R' D'

@ = U' L U2 F U F2 L F L2 U2 // yay

Final solution: R2 L U' L' R U2 L U2 F U F2 L F L2 U2 R' U R U2 F2 D B2 D2 R' D'
25 moves

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

 

[Rcuber123]

R' // square
(D R) // roux block
(D2 B2 D' F2) // xxcross
R' L U' L' R (U2 R' U' R U) // to 5 twisted pieces

R2 L U' L' R U' @ R' U R U2 F2 D B2 D2 R' D'

@ = U' L U2 F U F2 L F L2 U2 // yay

Final solution: R2 L U' L' R U2 L U2 F U F2 L F L2 U2 R' U R U2 F2 D B2 D2 R' D'
25 moves

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

31 STM

Premove: B
U R' B2 R' B F /2x2x3(6/6)
L D' L F L F U' F' U F' /F2L-1(10/16)
D F' D2 F2 L' F' L /F2L(7/23)
R' D' R D' R' D2 R /LL(7/30)
B' /fix premove(1/31)

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