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The 3x3x3 Example Solve Thread

acrystal said:
Next
Click to expand...

 Twizzle link 
 Title HTA, 61-STM
 Setup 
B' R L F' D L' U F R' D R' D2 F2 R U2 L B2 R2 D2 F2 B2
 Moves 
z
L F L R B // <U,D,R,L,F2,B2> (EO)
F2 U D' R // <U,D,R2,L2,F2,B2> edges
D2 L D' R2 U D R2 U' L // <U,D,R2,L2,F2,B2> (domino)
B2 U R' F R' B2 R F' R B' L B' R2 B L' B // <U2,D2,R2,L2,F2,B2> corners
U2 L2 F2 U R2 L2 D' // <U2,D2,R2,L2,F2,B2> (half-turn)
F2 R2 E2 M E2 M' // <> corners
R2 (U2 B2)3 E2 R2 E2 R2 S2 R2 S2 // <>

Human Thistlethwaite Algorithm, because why not. It's one of my favorite esoteric methods.

Next: D2 R2 F' R2 F' L2 F2 R2 F' L2 U2 F2 D' R' B' R D F2 L' F R
 
Renslay said:
 Twizzle link 
 Title HTA, 61-STM
 Setup 
B' R L F' D L' U F R' D R' D2 F2 R U2 L B2 R2 D2 F2 B2
 Moves 
z
L F L R B // <U,D,R,L,F2,B2> (EO)
F2 U D' R // <U,D,R2,L2,F2,B2> edges
D2 L D' R2 U D R2 U' L // <U,D,R2,L2,F2,B2> (domino)
B2 U R' F R' B2 R F' R B' L B' R2 B L' B // <U2,D2,R2,L2,F2,B2> corners
U2 L2 F2 U R2 L2 D' // <U2,D2,R2,L2,F2,B2> (half-turn)
F2 R2 E2 M E2 M' // <> corners
R2 (U2 B2)3 E2 R2 E2 R2 S2 R2 S2 // <>


Human Thistlethwaite Algorithm, because why not. It's one of my favorite esoteric methods.

Next: D2 R2 F' R2 F' L2 F2 R2 F' L2 U2 F2 D' R' B' R D F2 L' F R
Click to expand...
What is Human Thistlethwaite Algorithm used for anyway?
 Twizzle link 
 Setup 
D2 R2 F' R2 F' L2 F2 R2 F' L2 U2 F2 D' R' B' R D F2 L' F R
 Moves 
z2 // Inspection
L' D2 L2 B // Cross
D2 L U L' D2 // 1st Pair
B' U B L' U2 L // 2nd Pair
y R' U' R U' B U B' // 3rd Pair
R U' R2 F R F2 L F L' U' L' U L // OLS
y R U R' U' D R2 U' R U' R' U R' U R2 D' U2 // PLL

Next
 
acrystal said:
What is Human Thistlethwaite Algorithm used for anyway?
Click to expand...

It's more like for demonstration purposes; a human-friendly version to show how computers solve the cube. It's still fun though.
There are FMC techniques that brings the cube into a domino-state first (<U,D,R2,L2,F2,B2>); but I don't know the details, and might have little or nothing in common with HTA itself apart from this.

acrystal said:
Next
Click to expand...

 Twizzle link 
 Title Roux, 37-STM
 Setup 
B2 U' F' L2 U B2 R2 B R F2 D2 B2 U2 R2 B2 U R2 L2 F2 U2
 Moves 
y2
R r2 b' U' r' B // FB (6/6)
R2 U2 r U R U2 R U' r' R2 U' R' // SB (12/18)
r U' r' U2 x' R2 U' R' U L' // CMLL (9/27)
U M' U' M U M2 U M U2 M // LSE (10/37)


Next: U' L D' L2 F U' L2 U R2 F' L2 U2 F U2 B' U2 B U2 L2 U'
 
Renslay said:
It's more like for demonstration purposes; a human-friendly version to show how computers solve the cube. It's still fun though.
There are FMC techniques that brings the cube into a domino-state first (<U,D,R2,L2,F2,B2>); but I don't know the details, and might have little or nothing in common with HTA itself apart from this.



 Twizzle link 
 Title Roux, 37-STM
 Setup 
B2 U' F' L2 U B2 R2 B R F2 D2 B2 U2 R2 B2 U R2 L2 F2 U2
 Moves 
y2
R r2 b' U' r' B // FB (6/6)
R2 U2 r U R U2 R U' r' R2 U' R' // SB (12/18)
r U' r' U2 x' R2 U' R' U L' // CMLL (9/27)
U M' U' M U M2 U M U2 M // LSE (10/37)


Next: U' L D' L2 F U' L2 U R2 F' L2 U2 F U2 B' U2 B U2 L2 U'
Click to expand...
 Twizzle link 
 Setup 
U' L D' L2 F U' L2 U R2 F' L2 U2 F U2 B' U2 B U2 L2 U'
 Moves 
z2 // Inspection
S2 R2 U' F' L F // Cross
U L' U L B L' B' L // 1st Pair
D' F' U F D // 2nd Pair
L' U2 L U2 F' U' F // 3rd Pair
L' U L U L' U2 x' U2 R U R' U Rw // OLS
R2 B2 R F R' B2 R F' R U' // PLL

Next
 
acrystal said:
 Twizzle link 
 Setup 
U' L D' L2 F U' L2 U R2 F' L2 U2 F U2 B' U2 B U2 L2 U'
 Moves 
z2 // Inspection
S2 R2 U' F' L F // Cross
U L' U L B L' B' L // 1st Pair
D' F' U F D // 2nd Pair
L' U2 L U2 F' U' F // 3rd Pair
L' U L U L' U2 x' U2 R U R' U Rw // OLS
R2 B2 R F R' B2 R F' R U' // PLL

Next
Click to expand...
 Twizzle link 
 Setup 
D' R2 D2 F R2 B2 F' R2 F D2 R2 D2 F L' B F' R2 U' L F'
 Moves 
z2 y //inspection
R B' R2' F D2 //cross
U y R' U2' R U R' U' R //1st pair
d R U' R' //2nd pair
U2' R' U2' R U' R' U R //3rd pair
U2' L' U2 L U' L' U L //4th pair
U2' R2 D R' U2' R D' R' U2' R' //COLL
U //freak out

Next: R' F2 U B2 U B2 U B2 U2 L2 U2 R2 B' R' U2 B2 F2 R B' U
 
iguana said:
 Twizzle link 
 Setup 
D' R2 D2 F R2 B2 F' R2 F D2 R2 D2 F L' B F' R2 U' L F'
 Moves 
z2 y //inspection
R B' R2' F D2 //cross
U y R' U2' R U R' U' R //1st pair
d R U' R' //2nd pair
U2' R' U2' R U' R' U R //3rd pair
U2' L' U2 L U' L' U L //4th pair
U2' R2 D R' U2' R D' R' U2' R' //COLL
U //freak out

Next: R' F2 U B2 U B2 U B2 U2 L2 U2 R2 B' R' U2 B2 F2 R B' U
Click to expand...
 Twizzle link 
 Setup 
R' F2 U B2 U B2 U B2 U2 L2 U2 R2 B' R' U2 B2 F2 R B' U
 Moves 
z2 // Inspection
D' R2 F' L F U' L' B R U' M' x' // X-Cross
L' U' L U' F U F' // 2nd Pair
U' R' U2 R U2 R' U R // 3rd Pair
L U L' // 4th Pair
R U2 R' U' R U' R2 U R' U' R D' R' D R' U D' R2 U' R2 D R2 U' // LL

Next
 
acrystal said:
 Twizzle link 
 Setup 
R' F2 U B2 U B2 U B2 U2 L2 U2 R2 B' R' U2 B2 F2 R B' U
 Moves 
z2 // Inspection
D' R2 F' L F U' L' B R U' M' x' // X-Cross
L' U' L U' F U F' // 2nd Pair
U' R' U2 R U2 R' U R // 3rd Pair
L U L' // 4th Pair
R U2 R' U' R U' R2 U R' U' R D' R' D R' U D' R2 U' R2 D R2 U' // LL

Next
Click to expand...
 Twizzle link 
 Setup 
D B2 L2 D' F2 D F2 D' L2 U' B2 R2 F D2 L B2 F' U' L D2
 Moves 
z2 y' //inspection
D R' D L' D R' D //cross
R' U' R U' y' R' U' F R F' U2' L' U' L //1st and 2nd pairs
U' L U L' U y R' U' R //3rd pair
U' L' U' L U2' L' U L //4th pair
U2' R' U' R' F R F' R' F R F' U R //OLL
U' R' U R' U' R D' R' D R' (U D') R2 U' R2' D R2 U2' //PLL

Next: D' L2 B U2 B' R U' F2 R' L2 B2 U D2 F2 U B2 D' R2 U L2
 
iguana said:
 Twizzle link 
 Setup 
D B2 L2 D' F2 D F2 D' L2 U' B2 R2 F D2 L B2 F' U' L D2
 Moves 
z2 y' //inspection
D R' D L' D R' D //cross
R' U' R U' y' R' U' F R F' U2' L' U' L //1st and 2nd pairs
U' L U L' U y R' U' R //3rd pair
U' L' U' L U2' L' U L //4th pair
U2' R' U' R' F R F' R' F R F' U R //OLL
U' R' U R' U' R D' R' D R' (U D') R2 U' R2' D R2 U2' //PLL

Next: D' L2 B U2 B' R U' F2 R' L2 B2 U D2 F2 U B2 D' R2 U L2
Click to expand...
 Twizzle link 
 Setup 
D' L2 B U2 B' R U' F2 R' L2 B2 U D2 F2 U B2 D' R2 U L2
 Moves 
z2 // Inspection
U2 F' B2 R2 // Cross
B U' B' L' U' L // 1st Pair
D B U' B' D' // 2nd Pair
y U2 R' U' R2 U2 R' // 3rd Pair
U' R' U R U2 B U B' // 4th Pair
y' Fw' L F L' U' L' U L S // OLL
y' R2 U' S' U2 S U' R2 // PLL

Next
 
acrystal said:
Next
Click to expand...

 Twizzle link 
 Title Roux, 42-STM
 Setup 
D2 L2 U2 D' F L B R L' U' F2 B2 R2 U2 R F2 L' D2 F2
 Moves 
z
u F R u R u2 r' F // FB (8/8)
U2 M2 U R2 U' M' U' r' U2 r U R' // SB (12/20)
U' R U R' U' R' F R F' // CMLL (9/29)
M' U M U M' U M' U' M U2 M U2 M2 // LSE (13/42)


Next: D' B' R F2 B' U' R F2 D B2 R2 L2 D F2 U' B2 L2 U2 F L
 
Renslay said:
 Twizzle link 
 Title Roux, 42-STM
 Setup 
D2 L2 U2 D' F L B R L' U' F2 B2 R2 U2 R F2 L' D2 F2
 Moves 
z
u F R u R u2 r' F // FB (8/8)
U2 M2 U R2 U' M' U' r' U2 r U R' // SB (12/20)
U' R U R' U' R' F R F' // CMLL (9/29)
M' U M U M' U M' U' M U2 M U2 M2 // LSE (13/42)


Next: D' B' R F2 B' U' R F2 D B2 R2 L2 D F2 U' B2 L2 U2 F L
Click to expand...
 Twizzle link 
 Setup 
D' B' R F2 B' U' R F2 D B2 R2 L2 D F2 U' B2 L2 U2 F L
 Moves 
x2 //inspection
F L F' D' F2' D' F' //cross
y U' L U' L' U L U L' //1st pair
y' U2' R U2' R2' U' R //2nd pair
y R' U R U' R' U R //3rd pair
U L' U L //4th pair
r' U' R U' R' U2' r //OLL
U' M2' U M U2' M' U M2'

Next: F' U R2 B2 F2 R' U2 L R2 F2 L B2 R' B2 U F2 U' B' F R'
 
 
Michael Wimberly said:
Next: B F2 D' L2 U' L2 F2 R2 D L2 D U2 F L' B2 R' F' R' U' R'
Click to expand...
 Twizzle link 
 Setup 
B F2 D' L2 U' L2 F2 R2 D L2 D U2 F L' B2 R' F' R' U' R'
 Moves 
z2 // Inspection
D F' R' F2 U D' B' D' // X-Cross
L' U L // F2L 2
U D' F' U' F D // F2L 3
U R' F R F' // F2L 4
U R U R' U R U' R' U R U2 R' // OLL
M2 U M' U2 M U M2 // PLL
 Twizzle link 
 Setup 
B F2 D' L2 U' L2 F2 R2 D L2 D U2 F L' B2 R' F' R' U' R'
 Moves 
x' z' // Inspection
M D2 U' R U B2 // FB
R2 U M U2 R U' r' // NMSB
U' R U' L' U R' U' L // CMLL
M U' M' U' M U2 M U2 M2 U' M U2 M U' R2 U' // L6E

Next: D' R' U R' L' B' L F D2 B2 R2 U2 L U2 B2 L U2 D'
 
BenChristman1 said:
 Twizzle link 
 Setup 
B F2 D' L2 U' L2 F2 R2 D L2 D U2 F L' B2 R' F' R' U' R'
 Moves 
x' z' // Inspection
M D2 U' R U B2 // FB
R2 U M U2 R U' r' // NMSB
U' R U' L' U R' U' L // CMLL
M U' M' U' M U2 M U2 M2 U' M U2 M U' R2 U' // L6E
Click to expand...

Interesting solution! And I found an even shorter LSE, making the whole solution only 32-STM long!

 Twizzle link 
 Setup 
B F2 D' L2 U' L2 F2 R2 D L2 D U2 F L' B2 R' F' R' U' R'
 Moves 
x' z' // Inspection
M D2 U' R U B2 // FB
R2 U M U2 R U' r' // NMSB
U' R U' L' U R' U' l // CMLL
U M U' M U2 M U' M2 U R2 U' // L6E
 
BenChristman1 said:
Next: D' R' U R' L' B' L F D2 B2 R2 U2 L U2 B2 L U2 D'
Click to expand...
 Twizzle link 
 Setup 
D' R' U R' L' B' L F D2 B2 R2 U2 L U2 B2 L U2 D'
 Moves 
y2
S' R S // FB (3)
u R2 u' R2 u' R U' R' u // 3QB (9/12)
U R' U R U' R2 // dBR (6/18)
U' R' F R F' R U' R' U R U' R' // dFR (12/30)
F R' F' R U2' R U2' R' // CLL (8/38)
U S' R U R' S R U' R' // L5EO (9/47)
U2' R U R' U R' U' R' U R2 U2' R // L5EP and undo pseudo (12/59)
E2' // AEF (1/60)


NEXT: U' F B2 R2 D' B' U2 L2 F L' D2 R B2 R' U2 R U2 R' B2 R'
 
tsmosher said:
 Twizzle link 
 Setup 
D' R' U R' L' B' L F D2 B2 R2 U2 L U2 B2 L U2 D'
 Moves 
y2
S' R S // FB (3)
u R2 u' R2 u' R U' R' u // 3QB (9/12)
U R' U R U' R2 // dBR (6/18)
U' R' F R F' R U' R' U R U' R' // dFR (12/30)
F R' F' R U2' R U2' R' // CLL (8/38)
U S' R U R' S R U' R' // L5EO (9/47)
U2' R U R' U R' U' R' U R2 U2' R // L5EP and undo pseudo (12/59)
E2' // AEF (1/60)


NEXT: U' F B2 R2 D' B' U2 L2 F L' D2 R B2 R' U2 R U2 R' B2 R'
Click to expand...

40-move solution!
 Twizzle link 
 Setup 
U' F B2 R2 D' B' U2 L2 F L' D2 R B2 R' U2 R U2 R' B2 R'
 Moves 
z2 // Inspection
B U' R2 U' L' U' L' U F U F' y // F2S+LEFI
U R' F R F' // EO
U2 R2 S U2 R2 S' // L2DE+NFL
U R U R' U2 // Numann Second Look
R U R' // Numann Third Look
U R' F R' B2 R F' R' B2 R2 // PLL

Next
 
acrystal said:
40-move solution!
Click to expand...

Nice!

acrystal said:
Next
Click to expand...

 Twizzle link 
 Title Roux, 45-STM
 Setup 
D2 F2 B' D2 F2 B' L' U' F2 U2 R2 D' L2 U2 B2 L2 D B2 F' U R
 Moves 
y x2
U' F R r2 f U' R2 r F // FB (9/9)
R' U' r U' r2 U R' B U2 B' R' // SB (11/20)
U R' D R U' R U R' U R' D' R // CMLL (12/32)
U M' U' M U' M U' M2 U M U2 M' U2 // LSE (13/45)


Next: F' L' F' R2 U2 F L2 U2 F R2 U2 F2 R2 L F2 L U B F2 U'
 
Renslay said:
Nice!
Click to expand...
Thx!
Renslay said:
Next: F' L' F' R2 U2 F L2 U2 F R2 U2 F2 R2 L F2 L U B F2 U'
Click to expand...
Addition 🗣️🔥
 Twizzle link 
 Setup 
F' L' F' R2 U2 F L2 U2 F R2 U2 F2 R2 L F2 L U B F2 U'
 Moves 
L' F' B' L' U' L' U' R' S' U' S B2 R B2 R' // F2S+LEFI
Dw2 F R' F' U R2 U2 R U2 R' U' R // EO+L2DE+NFL
R U' R' U R U' R' // Numann Second Look
U R U R' U' R U' R y2 B2 L' F' L B2 L' F L' // NTL+PLL

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

 Twizzle link 
 Setup 
L2 F' B2 U2 L' D2 L B2 R' F2 L2 B2 L R' F' U' R2 F2 U' F2 L
 Moves 
U' L' B F2 D' F' L2 U' R2 U R // EO X-Cross -1e
U L U' L' R U' R' // F2L 2
U2 L U2 L' U L U' L' // F2L 3
U2 M U2 l' U' L // F2L 4 & last edge
R' U2 R U R' U R U' r U2 R2 F R F' R U2 r' U' // ZBLL

Next: F B2 D2 L B U R2 F L2 B U2 F' R2 F2 R2 U2 F' U
 
BenChristman1 said:
Next: F B2 D2 L B U R2 F L2 B U2 F' R2 F2 R2 U2 F' U
Click to expand...

 Twizzle link 
 Title Roux, 46-STM
 Setup 
F B2 D2 L B U R2 F L2 B U2 F' R2 F2 R2 U2 F' U
 Moves 
y
D S D' F R' B2 R' B2 // FB
R' U M2 U2 R' U' R2 U r2 R F R F' r // SB
U2 R' U' R' F R F' R U' R' U2 r // CMLL
U' M U' M' U2 M' U' M2 U' M U2 M // LSE


Next: F' D' L2 B' U R F' B2 U B2 U R2 U' F2 D2 F2 B2 D' B2 L
 
Renslay said:
 Twizzle link 
 Title Roux, 46-STM
 Setup 
F B2 D2 L B U R2 F L2 B U2 F' R2 F2 R2 U2 F' U
 Moves 
y
D S D' F R' B2 R' B2 // FB
R' U M2 U2 R' U' R2 U r2 R F R F' r // SB
U2 R' U' R' F R F' R U' R' U2 r // CMLL
U' M U' M' U2 M' U' M2 U' M U2 M // LSE


Next: F' D' L2 B' U R F' B2 U B2 U R2 U' F2 D2 F2 B2 D' B2 L
Click to expand...
 Twizzle link 
 Setup 
F' D' L2 B' U R F' B2 U B2 U R2 U' F2 D2 F2 B2 D' B2 L
 Moves 
z // Inspection
S' D' R' F' U' R U' L2 U' B L' // F2S+LEFI
Dw' R2 U R2 S R S' // EO
U' R2 U R U' R' S U2 S' // L2DE+NFL
U2 R' U' R U2 // Numann Second Look
R' U' R // Numann Third Look
y R2 B2 R F R' B2 R F' R U2 // PLL

Next
 
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