The 3x3x3 Example Solve Thread

[Pyjam]

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

ZZ : 36 HTM

B L R F // (4) EO-line
U2 R' U R2 // (4/8) Right square
U L U L' U L2 R' U2 L // (9/17) Left block
R U' R' U' R U2 R' U R // (9/26) Right block
y' U' R' U2 R' D' r U2 r' D R2 // (10/36) ZBLL L

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

 

[Neuro]

Roux, 33 STM 37 HTM

z2 R2 r' B' D'//FB
U r2 U R2 U2 r' U' R' r' U r//SB
U' r' U r U2 R2 F R F' R//CMLL
U' M' U M U M' U M//LSE

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

 

[Pyjam]

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

z2 U2 B' R F' R B' M' U' x // (8) Left
U r U M U' M2 D' M' U' M D // (11/19) EO-line
R U' R' U' R D R' U2 R D' R U' R2 U R2 U' // (16/35) Right block Last Layer

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

 

[Joël]

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

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

Well.. I use CFOP.

z2 x R u' L' u2 // Cross

U' L' U L U' L' U' L // First pair

U R U' R' L U'L' // Second pair

U2 R' U2 R U' RUR' // Thrid pair

R' U' R U2 y R d' RU'R'F' // Fourth pair

U' R2' D' RUR' DR U RU'R'U'R // COLL

M U2 M2' U2 M U M2' U M2' U // PLL


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

 

[Neuro]

Roux, 37

z2 U R U r' D2 F'//FB
U2 R2 U R2 U' R' U2 R2 U2 r//SB
r' D' r U r' D r U' r U r'//CMLL
U M' U' M U' M' U' M' U2 M2//LSE

CFOP, 49

x L' B L U' F//X cross
U R' L U2 L' R y' L' U' L U2 L' U L U' y L' U2 L U2 L' U' L//F2L
U2 r U' r2 U r2 U r2 U' r//OLL
R U R' F' R U R' U' R' F R2 U' R'//PLL

ZZ, 38

x2 L U' F' D2 F'//EOL
L' U L2 U L2 R U' R U2 L R U2 R2 U R'//F2L-1
U2 R U2 R'//OLS
U R2 u' R U' R U R' u R2 y R U' R' U//PLL

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

 

[Pyjam]

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

d L2 E2 y' x // (3) Left
M' R2 U2 M U2 r // (6/9) DF-DB + 1 pair
U' R U2 R2' U R U2 // (7/16) F2L-1
F R2 F' R U R2 U' // (7/23) 4th slot + EO + OLL
R2' L' U2 L U L' U2 R U' L U' // (11/34) PLL J

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

 

[Pyjam]

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

Vanilla Leor : 44 STM

x z //
L2 U' F' U' r' F M' F U' R2 z x' // (10) Left
U' r' U' r' U' R2 U2 r U M' U r2 // (12/22) EO-line
U2 R U R' U R' U2 R' // (8/30) Right
y' R' L U L' U L U R U L' U R' U R // (14/44) ZBLL Pi

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

 

[SP33DCuber]

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

X //
U, R', B2, L2, U, L2, B', D, R, B', L2, F', L2, U2, F', U2, F, L2, U2, B', D2: I got a 14.08

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

 

[Pyjam]

B R' F L' D B' L B R2 U' R' F' U' R F' B U R U2 R' B' U2 L' U2 F'

Leor : 46 STM with Zipper ending

z2 U2 D M B' R' D2 // (6) Left
U r U' R U' r' U r' U M2 // (10/16) EO-line
U R' U2 R' U R2 U' R' // (8/24) Right -1 edge
U2 R' F' r U R U' r' F // (9/33) COLL T
U2 r U M2' U M2' U M' U2' M2' U' R' U // (13/46) Last 5 edges

Leor : 44 STM with a different option for ending

z2 U2 D M B' R' D2 // (6) Left
U r U' R U' r' U r' U M2 // (10/16) EO-line
U R' U2 R' U R // (6/22) Right square
U2 L R U' R' U L' // (7/29) Building 4th pair & preserving another pair on U
U2 R U2 R' // (4/33) Inserting 4th pair & building a square on U
F R U R' F R' F' R2 U' R' F' // (11/44) ZBLL L with square on U

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

 

[Neuro]

seeecret method, 31

D F' D y'
R2 U R' U2 R2 U' R' U R' U'
M' U' R2 U M' U' r' U2 M' U2 M U' M2 U' M2 U2 M U'

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

 

[Pyjam]

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

Vanilla Leor : 42 STM

U' R u2 l U2 F' U x // (7) Left
U M' U' r' U' R2 U r2 // (8/15) EO-line
U R' U' R U R' // (6/21) 3rd pair
U2 R' U R U' R' U R // (8/29) 4th pair / OLL-skip
U2 F2 r2 R2' D R2 D' R2' U R2 U' r2' F2 // (13/42) PLL G

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

 

[martinss]

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

R2 U' L' B' L //222
L' R' D' R2 L //223-1C
D' B L' D2 L2 B' L' D * B D //edges
D' L' D R' D' L D R //Niklas

insert at * : D2 R2 ** D F U2 F' D' R2 D2 B L2 B'
insert at ** : F U2 F' D F U2 F' D'

30 HTM final : R2 U' L' B' R' D' R2 L D' B L' D2 L2 B' L' D' R2 F U2 F' R2 D2 B L D R' D' L D R

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

 

[Pyjam]

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

Leor : 44 STM

B' D' L U' L U R2 D2 // (8) Left
U' r2 // Put 'good' edge at DB and 'wrong' edge at DF
U R2 U M' U' r U' R2' U M2' // (12/20) EO-line
U2 R' U' R2 U R2' // (6/26) Right -1 edge
U2 R' U' R U' R' U2' R // (8/34) Sune = COLL
R' U' R' U' R' U R U R U2 // (10/44) Solve last edges

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

 

[Neuro]

Roux 2-phase human solution (near linear human-found solution breaking into 2 "phases," first 10 pieces then last 10 pieces)

29 moves STM

y U' F L' F' B' D' L' U' R B' D2 B'//F10P (F2B)
R' U L U' R U L' U M' U M U M' U E2 M' E2//L10P (CMLL/LSE)

32 HTM, edge comm abuse

y U' F L' F' B' D' L' U' R B' D2 B'//F10P (F2B)
R' U L U' R U L' U' D2 R L' F U D' R U' D F R' L//L10P (CMLL/LSE)

funny enough, HARCS at level 100 for Roux on it's own gives 24 STM as it's solution, 5 moves off ain't too bad

z2 y' M' U2 R D2 B r F B//FB
U' r2 U R' U2 r U' M2 U' R' U2 R'//SB+CMLL
M2 U' M U2//LSE

I think humans (could) reach sub-35 using linear F2B and L10P; but there may be better options out there. More research must be done!

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

 

[Pyjam]

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

Beginner method : 56 HTM

L U R' U' y R U y' L' y' L' // (8) 1 face minus 1 corner
y' R' D' R // (3/11) 1st belt edge
d' R' D R // (4/15) 2nd belt edge
d2' D y L D' L' // (5/20) 3rd belt edge
d L D L' d' // (5/25) 4th corner
y2 y D L D L' D' y' R' D' R // (8/33) 4th belt edge
x2 x2 // Inspection : 2 stages completed
D2 y2 R D2 R' D' R D' R' // (8/41)
x2 x2 // Inspection : edges are solved
R' D L D' R D L'
R' D L D' R D L' // (14/55) complexe algorithm
x2 U2 // (1/56) Solved!

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

 

[martinss]

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

B U B U * R B' F' D R' //match existing blocks + 1E -> F2L-2E
F' U R2 U' F D2 B' D' B2 //C+2E
D //AUF
insert at * : D2 F' R' F R D2 B R B' R'

26 HTM final : B U B U D2 F' R' F R D2 B R B2 F' D R' F' U R2 U' F D2 B' D' B2 D

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

 

[Pyjam]

Well done, @martinss

Roux 2-phase human solution (near linear human-found solution breaking into 2 "phases," first 10 pieces then last 10 pieces)

29 moves STM

y U' F L' F' B' D' L' U' R B' D2 B'//F10P (F2B)
R' U L U' R U L' U M' U M U M' U E2 M' E2//L10P (CMLL/LSE)

Is it your hope to find a 2-look Roux method?

It's ambitious. 3-look would be already really great.

 

[Neuro]

Is it your hope to find a 2-look Roux method?

It's ambitious. 3-look would be already really great.

The way I define it is a 2-phase solution. Solve x amount of pieces in the first phase, and last y pieces in the second, solving the cube. For this variation of a 2 phase solve, I break the 2nd phase into 2 substeps: L4C and L6E. So when they total, you still get a second phase (solving L10P) but it's made easier by breaking it into 2 "looks." So it's technically 3 looks, but 2 phases. The reason I break it up L10P is because it makes it much easier for a human to perform rather than trying to do it all at once.

It seems like F10P all at once might be a lot for a human to digest and solve efficiently, I'm gonna run some tests and see what my efficiency is before I decide on this approach.

Also, my approach to L4C is not entirely pure. If it can be solved via 1 commutator, I solve corners then edges. If it can't, I solve edges first and end w/ ZBLL. Although L4C is less efficient, this should still get sub-35 if you're careful.

2-phase Roux, 32 STM 34 HTM

y' x' L' B' U D F R2 U F' U2 R' F//F10P
B2 U' M' U' M U2 B2 y' L' U2 L2 U2 L' B' U2 F' L F L' U2 B U'//L10P

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

 

[Pyjam]

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

Leor : 51 STM

y R' U R' L' F' R2 y x' U2 r U B' // (10) Left
U' R2 U2' r' U' r U R U M2 // (10/20) EO-line
U2 R' U' R U' R2 // (6/26) Right -1 edge
F (R U R' U')3 F' // (14/40) COLL H
U2 R U R U R U' R' U' R' U2 // (11/51) L5E

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

 

[Oatch]

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

z2 D' B R' D' L2 F D //EOLine (7)
U R2 U2 R //Right Pair (4)
L' U L' U' L' //Left Pair (5)
U' R U2 R' U R U' R' //Right Block (8)
U' L' U L U L' U' L //F2L + Phasing (8)
D R' U' R D' F2 R2 U' r U2 r' U R2 F2 //ZZLL (14)
46 HTM ZZ-b

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