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The 3x3x3 Example Solve Thread

z2 y
F R U' L2 D U' R U R' D / XCross
y' R' U' R / Second Pair
U' R U' R' U F' L F L' / Third Pair
U R U2 R' d R' U' R / Fourth Pair
R U R' U R U2 R' F R U R' U' F' / OLL
U2 R U R' F' R U R' U' R' F R2 U' R' U / PLL

Next: B' D2 F' L2 B D2 R2 D2 B' L2 F2 R U' B L D2 U2 R2 B' D'
 
x' y R D' B' R' U F2 (I always do green cross)
U L' U' L U2 R U R' (F2L 1)
y U2' R U R' d R' U' R (F2L 2)
U2 L U' L' U2 L U' L' (F2L 3)
U2 L' U2 L U L' U' L (F2L 4)
U (F R U R' U' F') U (R U2 R2 U' R2 U' R2 U2 R) (I know 25 OLL algs, this was a 2-look)
R U R' F' R U R' U' R' F R2 U' R' U' (J-perm)

alg.garron

B2 U' R2 D L2 U B2 R2 U L2 D' L' D2 L' B' F' L' U' R' B2 R2
 
y' x'
U' L F R' B2 F2 - Cross
U2 R' U F R F' - 1st and cancelled into 2nd
U' L U' L' F U' F' - 3rd pair
U2 y' L' U L U' L' U L - 4th pair
U Rw U2 R' U' R U' Rw' - OLL
R U R' F' R U2 R' U2 R' F R U R U2 R' - PLL
U2 - AUF

Next- R' L2 F2 U' B2 L2 U' F2 D2 L2 D R2 F' L' F U' R2 U' F2 R2 B
 
x' y
D F R2 D2 R2 D (cross)
U R U' R' U R' U' R
R U R' U2 R U R' U L U L'
d R U' R' U R U' R'
y R U R' d R' U' R (F2L)
U R U R' U' M' U R U' r' (easy OLL)
l U' R D2 R' U R D2 R2 F (A-perm)

alg.garron

B2 D2 L2 U' L2 F2 R2 D L2 D' F' D' R' F U' L D' L2 F D' U2
 
x' y2
D2 U L F' D' R' // cross
U2 R U2' R2' U R // F2L-1
y' R U2' R2' U' R // F2L-2
U' R U' R' U2 y' R U' R' // F2L-3
U2 R' U R U' R' U' R // F2L-4
r U r' U r U2' r' // OLL
U' M2 U M U2' M' U M2 // PLL

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

y2 R D2 R2 D' L
U L' U L2 U' L'
U2 L' U' L U' L' U L
U2 R U2 R' U2 R U' R'
U2 R' U' R U' l U' R' U x
U2 R' U' R U' R' U2 R F R U R' U' F'
U2 R2' U' S' U2 S U' R2

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

x2 // inspection
L' F' D2 L2 D' F' // cross
U R U' R' F U2 F' // 1st pair
U' B U B' U B U' B' // 2nd pair
R U' R' d R' U R // 3rd pair
L' U L // 4th pair
y f R U R' U' f' y F R U R' U' F' // dot case
y2 L F' L B2 L' F L B2 L2 // A-perm
U' // AUF

Using left-sledge to insert the 4th pair led to a worse OLL (R2 U R' B' R U' R2 U R B R') and a U-perm in about the same number of moves.

Next scramble:
D R D2 F B' R' F2 L U2 R L' F' L' U B2 D L U' D2 F D2 F R' F' L2
 
y f R U R' U' f' y F R U R' U' F' // dot case

That's a gross alg in my opinion. Try this -

y M U' r U2 r' U' R U' R' M'

Using left-sledge to insert the 4th pair led to a worse OLL (R2 U R' B' R U' R2 U R B R') and a U-perm in about the same number of moves.

That's not my favorite alg for that case. Try one of these -

y2 F R' F R2 U' R' U' R U R' F2

f R U R2 U' R' U R2 U' R' f'

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

x2 y' // Inspection
U R' U2 R' F D2 R' // Cross (7)
U' L' U L U' L' U L // F2L 1 (8, 15)
U R U' R' U' R' U' R // F2L 2 (8, 23)
U2 y' R' U' R // F2L 3 (4, 27)
U2 L' U' L U2 // 4th Pair (5, 32)
y' F' L' U L F // Magic Wonderful (5, 37)
R U R' U' R' F R2 U' R' U' R U R' F' U' // PLL (15, 52)

alg.cubing

D2 R' D2 R' U2 F2 R D2 R2 F2 R' U' L B F2 L D' L2 U' L F
 
@Rpotts, thanks for the tips. Will consider them, sure. All my algs will be under review when I'm confident with all of OLL.

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

x2 // inspection
F' D F2 B L U L B2 // cross (8)
L' U2 L U2 R U R' // 1st pair (7, 15)
L U2 L' // 2nd pair (3, 18)
R' U R L' U2 L U' L' U L // 3rd pair (10, 28)
y F' L' U2 L F R U R' // 4th pair (8, 36)
y2 R' U' F U R U' R' F' R // OLL / PLL skip (9, 45)
U2 // AUF (1, 46)

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

x2 // inspection
U F2 L B' R B2 // cross (6)
L' U L // 1st pair (3, 9)
U2 L U2 L' F' U F // 2nd pair (7, 16)
U B U B' // 3rd pair (4, 20)
U' B' U B U2 B' U B // 4th pair (8, 28)
y f R U R' U' f' F R U R' U' F' // OLL (12, 40)
y2 L F' L B2 L' F L B2 L2 // A-perm (9, 49)
U2 // AUF (10, 50)

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

x2 D L F' R F // 2x2x2 (5)
y R2 U' R U R2 F2 // 2x2x3 (6, 11)
y F' R U' R' // EO (4, 15)
y' R2 U2 R' U' R' // F2L-1 (5, 20)
R' U' R U2 R' U R U' R' U R // LS (11, 31)
U R U' R2 U' R2 U R' F' R U R2 U' R' F R2 // ZBLL (16, 47)

alg.cubing

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

LMCF method 41 moves

y U2 R F' U2 F y // yellow face
R' F2 R U y' R2 U R U' R2 // CLL
U D x // centers
R2 U M U' // 1st E2L pair
x R2 y' M' U M d' // E2L triplet
x r U M U' M' // solve last UL edge
M U M U' M' U' M U' M2 U2 R' // L6E
Total 41 STM

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

Tried a Cardan reduction solve:

x' U F U2 D2 F' B L2 B D L D' B2
F' D F B' L B
D' L' D2 L' D' L' D2 L'
z2 U L U2 L D R' F2 R D' L2 U' // didn't know this CR2 case, had to look it up
[U', F D F']
view

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

A solve with my LOBT method:

F (R' L2) U2 F' D' L' (D' U') R' U2 l F x' // Lines (11/11)
r2 U' M2 U' // Blocks, solved first because Orientation was crappy (4/15)
R U2 R' U' R U' R U R' U' R U R' U R // Orientation (15/30)
U' R2 U2 R' U R U' R U2 R2 U' R' U' R (U' D2) // TTLL (15/45)
 
A solve with my LOBT method:

F (R' L2) U2 F' D' L' (D' U') R' U2 l F x' // Lines (11/11)
r2 U' M2 U' // Blocks, solved first because Orientation was crappy (4/15)
R U2 R' U' R U' R U R' U' R U R' U R // Orientation (15/30)
U' R2 U2 R' U R U' R U2 R2 U' R' U' R (U' D2) // TTLL (15/45)
You didn't include a new scramble in your post.
 
x2 y'
L' B2 R' F' R' F' D2 (cross)
U R' U R U' R' U' R (F2L1)
U' R U R' y' U R' U' R (F2L2)
U' F2 L F2 L' (F2L3)
U2 R U2 R' U R U R' (F2L4)
U F R U R' U' R U' R' U' R U R' F' (COLL)
U R U' R U R U R U' R' U' R2 U (EPLL)

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