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D M2 U' L F' R E R' M' B2 M // T-Waterman Layer (11/11)
y R U2 R' U2 R U R' // TCLL- Alg (7/18)
M U M' // Edge (3/21)
z x' R U M' U' // Edge (4/25)
r2 U M2 U' R' // Edge (5/30)
U M' U2 M U2 M' U' // L6EAlg (7/37)
B2 M' B2 L' // Permute Midges (4/41)
I found a 42 with regular CLL but this is a move more efficient so I'm taking the TCLL one
Next: F B D' B U2 L' U F' R2 B2 U2 F' L2 B L2 B D2 F' U2 D R
F B D' B U2 L' U F' R2 B2 U2 F' L2 B L2 B D2 F' U2 D R
y x
B U r D // Left square
M U F U R2 U' F2 U' F // Right block
U2 L U l' U2 f' L f // Left block, EO
R' U2 R' D' R U2 R' D R2 // COLL
U M2' U' M2' U' // Last edges
NEXT R2 U L2 D2 F2 U' R2 B2 L2 D L R B' U2 L' D' F' D' F' R2
F B D' B U2 L' U F' R2 B2 U2 F' L2 B L2 B D2 F' U2 D R
y x
B U r D // Left square
M U F U R2 U' F2 U' F // Right block
U2 L U l' U2 f' L f // Left block, EO
R' U2 R' D' R U2 R' D R2 // COLL
U M2' U' M2' U' // Last edges
NEXT R2 U L2 D2 F2 U' R2 B2 L2 D L R B' U2 L' D' F' D' F' R2
x2 y // inspection
R’ D’ L2 B F D’ // W cross
R’ U R // GO
L’ U2 L U2 F’ L U F U2 L’ // GR
y’ U L’ U L // BO
U2 R U R’ // BR
U r U R’ U R U’ R’ U R U2 r’ // OLL
y’ R2 U R U R’ U’ R’ U’ R’ U R’ // U Perm
Next: L2 D L2 F2 D B2 U B2 U2 F2 L' D B F' U' L B D' F L2
L2 D L2 F2 D B2 U B2 U2 F2 L' D B F' U' L B D' F L2
R U B' D F D2 // EO-line (yellow)
U2 L U' L' U' M2' R U2 L' // left block (white)
R' U' R' U2 R' U R2 U2 R' U R // right block
r2' D r2 U' r2' F2 D' F2 U r2 D' // PLL T
NEXT L2 F2 L U2 B2 D2 L U2 F2 L' U2 F' U' L' F' R F' D' U2 F'
L2 F2 L U2 B2 D2 L U2 F2 L' U2 F' U' L' F' R F' D' U2 F'
z
F U L' R' U' B // HTA #1
R2 F2 D R2 U' L U' L U' R2 U L' // HTA #2
D' B2 R2 D R2 D' R2 B2 D' B2 D U2 R2 U L2 R2 D' // HTA #3
R2 F2 R2 F2 B2 L2 D2 L2 B2 L2 D2 R2 F2 R2 //HTA #4
NEXT:
F R' B' U R' U2 F D' B2 R B U2 R2 L2 F' R2 B R2 B' D2 L2
F R' B' U R' U2 F D' B2 R B U2 R2 L2 F' R2 B R2 B' D2 L2
y2 x' r D B2 r F //FB
U R' r' U r2 U R' U2 R2 //SB
U R U2 R' U' R U R' U' R U R' U' R U' R' //CMLL
U' M U' M U' M2 U M' U2 M' U' //LSE
Unnamed RouxFOP thing, 46
F R' B' U R' U2 F D' B2 R B U2 R2 L2 F' R2 B R2 B' D2 L2
y2 x' r D B2 r F //FB
r U' r' U' r2 U r //Cross
U2 R' U R D' R U' R' D R //False F2L
U f R f' U f R' f' R' //AOLL
R U' R' U' R U R D R' U' R D' R' U2 R' //PLL
Next: F2 R' F2 U2 F2 R2 F2 R F2 R U L' F2 U R B' F2 R' B'
Noah's CP2, because why not. It's one of my favorite experimental methods.
F2 R' F2 U2 F2 R2 F2 R F2 R U L' F2 U R B' F2 R' B'
y' z'
R B D2 U B2 U' B // FB
r' F' U' F // CP
M U2 R2 U' M U // EO
r2 R U' r2 // 2x2x3
R U2 R' U R' U' R U' R U' R // <RU>F2L
R U R' U' R' U2 R U R' U R2 U2 R' U' // 2GLL
NEXT:
F R2 U' F2 U F2 U' F2 L2 D R2 B2 R2 F' U B L D' B R' U
F R2 U' F2 U F2 U' F2 L2 D R2 B2 R2 F' U B L D' B R' U
x' // Inspection
D R' F R D L2 D // Cross
y U L U' L' // Pair
U R' U2 R U2 R' U R // Pair
R U' R' y U2 L U L2 U' L // 2 Pairs
U R U R' U R' F R F' U2 R' F R F' // OLL
U' x R2 F R F' R U2 r' U r U2 B // PLL
F R2 U' F2 U F2 U' F2 L2 D R2 B2 R2 F' U B L D' B R' U
R' B' F2 L' F R2 D R' L2 U2 L' U' L D2 // EO X-Cross
U R U' R' U R U R' // Pair
L U' L2 U L2 U2 L' U2 L U' L' // F2L
U2 R U' R2 F2 R U2 R U2 R' F2 U2 R U' R' U' // ZBLL
Next: R' L2 U2 L' F' D R' F' R2 D2 R2 L2 B' R2 B2 R2 D2 F2 D F'
R' L2 U2 L' F' D R' F' R2 D2 R2 L2 B' R2 B2 R2 D2 F2 D F'
z2
D2 F2 U B U R D2 // EO-line
L' U R U2 R // Slot #1
U L // Slot #2
U R U L U' R' // Slot #3
U2 L' U2 L U L' U2 L U2 // Slot #4
y' r U R' U' r' F R F' // Last 3 corners
ZZ try 2
R' L2 U2 L' F' D R' F' R2 D2 R2 L2 B' R2 B2 R2 D2 F2 D F'
z2
D2 F2 U B U R D2 // EO-line
U' R U L2 // Slot #1
U2 R U' R' U2 L' // Slot #2
U R' U2 R' U2 R2 U2 R' // Slot #3 #4
y2 R U R2' D' R U R' D R2 U2' R' // ZBLL
NEXT U' F2 D' R2 U L2 R2 F2 L2 R2 D2 B R' F2 D' L' D B2 R2 B L2
U' F2 D' R2 U L2 R2 F2 L2 R2 D2 B R' F2 D' L' D B2 R2 B L2
y2 z'
B R F u' M' r u2 R' u' r2 // pseudo FB (10)
U' R' u R2 // 3QB (4/14)
U R' U R U' R // pseudo dBR (6/20)
U R U R' U' R U2' R' // pseudo dFR (8/28)
U2' R (U D') R U R' D R' U' R U' R' // CDRLL (12/40)
U S' U S // EO (4/44)
u' M2' U M U2' M // LSE (6/50)
U' u' // AUF (2/52)
NEXT: B D2 B' D2 R2 F U2 L2 F2 L2 F L R' F' D U' B F2 L' B' F2
SAM, also known as the Single Alg Method (or Sexy Method, or 8355 method), one of the most fun beginner's method in my opinion.
Just look at those RUR'U's!
B D2 B' D2 R2 F U2 L2 F2 L2 F L R' F' D U' B F2 L' B' F2
z2
F' R' L B D' L2 // cross
R' U2 R F' U' F L' U2 L y2 // 3 mid-layer edges
U D' (R U R' U')3 D // corner #1
D (R U R' U')4 D' // corner #2
D2 (R U R' U')2 D2 // corner #3
y' U R' U' R U R' U R U' x2 // 5 edges
D (R U R' U')3 D' //corner #4
D2 (R U R' U')3 D2 //corner #5
R U R' U' //corner #6
D' (R U R' U')5 D // corner #7-8
NEXT:
B R2 U' L2 D' B2 F2 L2 D B2 R2 D' U' B D' U R' B2 F' L' F2
B R2 U' L2 D' B2 F2 L2 D B2 R2 D' U' B D' U R' B2 F' L' F2
y x
F R2 U' R' r' D' // left block
M2' R' U r2 // right square
f' L' U' L U f // EO
U R' U' R M2' U' R' U' R // F2L
r U2' R2' F R F' R U2' r' U' // COLL
NEXT U2 L2 D' L2 U R2 D' L2 B2 D' F D2 R' D2 L D2 U L D' U2
z2 // inspection
L' R U' R B' F' D // cross
R' U2 R U' R' U' R // 1st pair
U2 R' F R F' U2 L' U' L // 2nd pair
U' L U' L' U L U' L' // 3rd pair
U' y L' U2 L2 F' L' F // 4th pair
R U R' U R' F R F' R U2 R' // OLL
D R' U' R U D' R2 U R' U R U' R U' R2 // PLL
Next: B R D2 R2 B2 L D2 F U L2 U' B2 D R2 B2 U B2 L
I was bored. Here, have a solution that uses only x, y and U. No computer-aid, done all by hand. Not optimized in any way. Bonus point if you can tell me the method (shouldn't be hard).
B R D2 R2 B2 L D2 F U L2 U' B2 D R2 B2 U B2 L
x x U x x x U U x U y x x x U U U x U y x U U U y x U U x x x U x U y x x x U y x x x U x U U U x x x U U y x x x U U x U U U y x x x U y x U U U x x x U x U x x x U U x U x x x U U U x U U x x x U x U U U x x x U U U y x x x U U y y y x U x x x U U U x U x x x U U U x U U U x x x U x U U U x x x U U x U U U x x U x U U U x U x x x U x x x U U U x x U U
NEXT:
x x U U U y x U U y x U U y x x x U x x x U U x x U U x U U y x U U y x U U x x x U U x U U U x x x U U U y x U y x U x x U U x x x U U U x x x U U y x U y x U x x x U x x x y y y
You can be creative... like, for example... insert it into TW to see the state, then ask for an online solver to solve it, and use its inverse as a scramble. Or you can use TW directly to create a solution without a physical cube.
NEXT:
x x U U U y x U U y x U U y x x x U x x x U U x x U U x U U y x U U y x U U x x x U U x U U U x x x U U U y x U y x U x x U U x x x U U U x x x U U y x U y x U x x x U x x x y y y
x x U U U y x U U y x U U y x x x U x x x U U x x U U x U U y x U U y x U U x x x U U x U U U x x x U U U y x U y x U x x U U x x x U U U x x x U U y x U y x U x x x U x x x y y y
y y y x U x x U U U x x x U U U x U U U y x x x U U U x x U U y x U x x U x U U U x x x U U U x x x U U U x U x U U U x x U x U U x U U x x U x U U U x U x x x U x U U U x x x U U x U x x x U U U x x x U U U x U x x x U x U x x x U x U U x x x U x U U x x x U x U x x x U U U x U U x x x U x U U U x x x U U U x U x x x U U x U x x x U U x U x x x U U x U U x x x U U U x y x U y x U U U x x x U x x x U U y y x x x U U U x x x U y y x x x U x x x U U x U U y y y x x x U U
Challenge accepted. :v
Next: F' U' R2 F D2 F2 U2 F D2 R2 F' L2 D2 F2 L B2 R2 D R2 F R'
F' U' R2 F D2 F2 U2 F D2 R2 F' L2 D2 F2 L B2 R2 D R2 F R'
x2 D F D2 R' B' L2 U B2 //EOLine+2
U2 R' U2 R2 //Square
U2 L U2 L2 //Square
R U R' U' R //Pair
U' L' U L U' L' U L //Pair
R U R' U R U L' U R' U' L //COLL
R2 U' S' U2' S U' R2 //EPLL
Next: U B' R2 L2 D B2 R' U D2 L2 B2 R' D2 R F2 U2 R D2 R' D2
z2 y' // inspection
F' U' R' D F' R' F R U R // White cross
U F' U' F // RG Pair
U L U' L' // OB Pair
U L' U' L U L' U2 L // RB Pair
y R U R' U F' U' F // OG Pair
S R' U' R U R U R U' R' S' // OLL
R' U R' U' y R' F' R2 U' R' U R' F R F U' // PLL
Next: L2 F2 L' R2 F2 U2 R B2 D2 L' F2 R' B' D' L2 F U2 L' U F2