The 3x3x3 Example Solve Thread

Next: R2 F2 D' F2 U2 R2 F2 R2 U B2 R B2 D' B' R' D F2 L2 U2 R2
CFOP 40 STM, 32 STM with cancellations

z2 // Inspection
U2 L' B2 R U F' R2 U // XCross
z2 R U2 R' U R U' R' // F2L 1
z F R2 F' U' R' U // F2L 2
z' y U2 R' U' R // F2L 3
R' U R U2 R' U' R U' R' F' U' F U' R // 1LLL
U // AUF

Cancellations (32 STM): z2 U2 L' B2 R U F' R2 U z2 R U2 R' U R U' R' z F R2 F' U' R' U z' y R' U' R U' R' F' U' F U' R U


Roux 32 STM

R2 F2 U' D2 L U2 F' x2 // FB
F R2 F' B' R2 B U2 R // SB
F R' F' R U R U' R' // CMLL
U M U M U2 M' U M' // L6E


Petrus 35 STM, 29 STM with cancellations

R2 L' F R F R D2 R' z2 // Block
F R' U2 R2 F // Expanded block
F R' F' R2 U S' U' S // EO
R U R' // F2L
R U' R U R U R U' R' U' R2 // ZBLL

Cancellations (29 STM): R2 L' F R F R D2 R' z2 F R' U2 R2 F2 R' F' R2 U S' U' S R2 U R U R U' R' U' R2


ZZ 35 STM, 33 STM with cancellations

z' // Inspection
R' U2 L' F U' B2 L // EOCross
F2L 1 (8): x U R U' R' L U2 L' // F2L 1
F2L 2 (3): R U2 R' // F2L 2
F2L 3 (5): z R U' R2 U // F2L 3
z' y' R2 D R' U2 R D' R' U' R' U R U2 R' U' // ZBLL

Cancellations (33 STM): z' R' U2 L' F U' B2 L x U R U' M' x' U2 M x U2 R' z R U' R2 U z' y' R2 D R' U2 R D' R' U' R' U R U2 R' U'

From @TheCubingCuber347:
Next: D' L B L F2 U' R' D R2 B D' F2 L2 U2 B2 R2 D F2 D' B2 R2
 
Nautilus LL (not ZBLL):
y' // Inspection
R F2 u R r2' u // FB [6/6]
M' U r' U R F2 M' F2 r // NSB [9/15]
U M' U2 M R U' R' U2 F' U F // L3P [11/26]
U2 R U R' U' R' F R2 U' R' U' R U R' F' // PLL [15/41]
41 STM

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

x2 y // Mehta-CP
S R F R F' // CP line (5)
E M' U' r' U' r2 // Mehta FBCP (6/11)
U' R u R' u2 R2 U' R' // belt (8/19)
R U R' S' R U' R' S // EO (8/27)
R U' R2 U R2 U' R // DCAL (7/34)
U S R2 S' R2 // insert DRE (5/39)
u' R' U R' U2 R' U2 R U' R' U' R U R U' R // 2GLL (16/55)

x2 y // some weird Briggs?
S R F R F' // CP line (5)
u' R' U' r2 // D center + DFM (4/9)
E' u R' u2 r' U M' R' U R' U R // belt (12/21)
U R2 M U' M' // EO (5/26)
U2 M U2 M' R2 // insert DBM, DBR + DRS (5/31)
U R U2 R' U R U R' // DCAL-DFR (8/39)
u2 R U' R U R U' R' U' R U2 R' U2 R' U R' // 2GLL (16/55)
U // AUF (1/56)

NEXT:
D2 F U2 B' D2 F2 D2 L2 B D2 R2 D B' U' B D' U2 L D2 U2
 
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CFOP 40 STM, 32 STM with cancellations

z2 // Inspection
U2 L' B2 R U F' R2 U // XCross
z2 R U2 R' U R U' R' // F2L 1
z F R2 F' U' R' U // F2L 2
z' y U2 R' U' R // F2L 3
R' U R U2 R' U' R U' R' F' U' F U' R // 1LLL
U // AUF

Cancellations (32 STM): z2 U2 L' B2 R U F' R2 U z2 R U2 R' U R U' R' z F R2 F' U' R' U z' y R' U' R U' R' F' U' F U' R U


Roux 32 STM

R2 F2 U' D2 L U2 F' x2 // FB
F R2 F' B' R2 B U2 R // SB
F R' F' R U R U' R' // CMLL
U M U M U2 M' U M' // L6E


Petrus 35 STM, 29 STM with cancellations

R2 L' F R F R D2 R' z2 // Block
F R' U2 R2 F // Expanded block
F R' F' R2 U S' U' S // EO
R U R' // F2L
R U' R U R U R U' R' U' R2 // ZBLL

Cancellations (29 STM): R2 L' F R F R D2 R' z2 F R' U2 R2 F2 R' F' R2 U S' U' S R2 U R U R U' R' U' R2


ZZ 35 STM, 33 STM with cancellations

z' // Inspection
R' U2 L' F U' B2 L // EOCross
F2L 1 (8): x U R U' R' L U2 L' // F2L 1
F2L 2 (3): R U2 R' // F2L 2
F2L 3 (5): z R U' R2 U // F2L 3
z' y' R2 D R' U2 R D' R' U' R' U R U2 R' U' // ZBLL

Cancellations (33 STM): z' R' U2 L' F U' B2 L x U R U' M' x' U2 M x U2 R' z R U' R2 U z' y' R2 D R' U2 R D' R' U' R' U R U2 R' U'

From @TheCubingCuber347:
Next: D' L B L F2 U' R' D R2 B D' F2 L2 U2 B2 R2 D F2 D' B2 R2

Such a show-off. Every time I get a low move count you come along and get a bunch of sub-35's with a variety of methods. It's bad for my ego.
 
D2 F U2 B' D2 F2 D2 L2 B D2 R2 D B' U' B D' U2 L D2 U2
CFOP, 50 STM
y z f' R' F U' L F2//cross
R U R' U2 R U R'//first pair
U2 R' U2 R' F R F' R//second pair
d F2 R' F2 R//third pair
L' U' L U2 L' U' L//fourth pair
R U R2 U' R' F R F' U F R U R U' R' F' U2//1LLL

NEXT SCRAMBLE: D' U' R2 F2 R2 D L2 D F2 D' B2 F' L2 R B' L F2 U B R' D2
 
Waiting for someone to post an APB solve... I'm afraid I'll butcher it with horrible 223
I've done a few solves with p223 (Mehta style) and EO pair. I feel like APB's main benefit is in the ZBLL finish so never really tried it.
 
CFOP, 50 STM
y z f' R' F U' L F2//cross
R U R' U2 R U R'//first pair
U2 R' U2 R' F R F' R//second pair
d F2 R' F2 R//third pair
L' U' L U2 L' U' L//fourth pair
R U R2 U' R' F R F' U F R U R U' R' F' U2//1LLL

NEXT SCRAMBLE: D' U' R2 F2 R2 D L2 D F2 D' B2 F' L2 R B' L F2 U B R' D2
B' R F // DL (3)
U r U' r' u' R U2 R u // 3QB (9/12)
r' U r // complete belt & 4b (3/15)
R2 U' R U R' U2 R U R // DCAL (9/24)
F R U' R' U R U R' U R U' R' F' // COLL (13/37)
S R' U' R U R U R U' R' S' // 4a (11/48)
M2 U M2 // 4c (3/51)
E2 // AEF (1/52)

next: F2 R U B2 D' R2 U F2 U2 L2 B2 L2 U2 B' L2 D F2 L U2 B'
 
Waiting for someone to post an APB solve... I'm afraid I'll butcher it with horrible 223
APB:
y2 // Inspection
L E' L B D2 x U2 r U' r // 223 [9/9]
R2 U R' // Pair [3/12]
f U R' U' f' // EOPair [5/17]
R U R' // L3P [3/20]
U' R2 D' R U' R' D R2 U' R' U2 R U' // ZBLL [13/33]
33 STM

There have been at least two on this thread.
 
Next: D2 B' U2 R2 D2 L2 B R2 F2 D2 F' R' F' D2 L U' L D' L' B' R
x2 y // inspection
R' L' F' B2 U L2 D' // Cross
U2 R U2 R' y R U' R' // First pair
D U' L' U L D' // Second pair
y U' L U L' R U' R' // Third pair
y U' L U' L' U2 L' U L // Fourth pair
U R U R' U R U' R' U' R' F R F' // OLL
U2 L2 x' D2 L' U' L D2 L' U L' U' // PLL

Total moves: 60

Next: D2 R2 D2 B2 U' B2 L2 R2 U' R2 B2 F L U' F R U' F2 U2 B
 
x2 y // inspection
R' L' F' B2 U L2 D' // Cross
U2 R U2 R' y R U' R' // First pair
D U' L' U L D' // Second pair
y U' L U L' R U' R' // Third pair
y U' L U' L' U2 L' U L // Fourth pair
U R U R' U R U' R' U' R' F R F' // OLL
U2 L2 x' D2 L' U' L D2 L' U L' U' // PLL

Total moves: 60

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

y' z2
f M' U F' U' u' R U M2 // MFB (9)
u R' E2 S' R U' R' S // EObelt (8/17)
U2 R U' R U' R' U2 R U' R2' // DCAL (10/27)
U2 R U (R D R') U' (R D' R2') // CDRLL (10/37)
U (U D') M2 U' M2 U' M U2 M' // L5EP (9/46)
U // AUF (1/47)

NEXT: D2 F' U2 B2 D2 F' L2 D2 F2 U2 B' F' R' D R B2 R D2 L F' D'
 
APB:
x' // Inspection
F2 D F D' L // 22 [5/5]
R' U2 f' L' f // 223 [5/10]
U R' U' R2 U2 S R' S' // EOpair [8/18]
U R U R' U2 R U R' // L3P [8/26]
U L U2 L F L' U' L' U L F' U2 L' // ZBLL [13/39]
39 STM

APB is really fun and I find it much easier to get efficient solutions with it than any other method.
I'd probably switch to this over Nautilus but I don't really want to learn full ZBLL. Maybe one day...

Next: U R2 D' L2 U' F2 U' B2 F2 D2 F2 D2 F' L' D L2 B2 R' B2 U F
 
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U R2 D' L2 U' F2 U' B2 F2 D2 F2 D2 F' L' D L2 B2 R' B2 U F
CFOP, 32 STM
how
F U' R2 U' L2 F2 R//xxcross
U2 f R f'//third pair
y R2 U' F' U F R2//fourth pair
y' R' U' R U' R U2 R2 U' R2 U' R2 F' U F R//1LLL
cancellation with 31 STM:
F U' R2 U' L2 F2 R//xxcross
U2 f R //third pair, cancelling into fourth
y x R U' F' U F R2//fourth pair
y' R' U' R U' R U2 R2 U' R2 U' R2 F' U F R//1LLL

NEXT SCRAMBLE: D R2 D B2 F2 R2 U R2 D2 B2 F L2 U' L2 U R' B L2 U' L B
 
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CFOP, 32 STM
how
F U' R2 U' L2 F2 R//xxcross
U2 f R f'//third pair
y R2 U' F' U F R2//fourth pair
y' R' U' R U' R U2 R2 U' R2 U' R2 F' U F R//1LLL

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

Roux

z' // inspection
S' D' R' B2 U2 R' F' // FB with DR influencing
U M U2 R' U' R' U R' U2 R U' R' U r // SB
U2 R U R' U R U' R D R' U' R D' R2 // CMLL
U' M' U2 M2 U' M U' M' U M' U M2 U M2 U2 M2 // LSE

51 STM



Next: B' L U2 F R2 F D2 U2 R2 F' R2 B2 F' R U' B R' F' D R
 
I didn't even think of that! It sounds like a great OS if there's not a great FB. How is the move count effected and what's the avg move count for DR L5EP? (Nautilus's L5EP is 7.38)
The average movecount is higher but the average MCC (Trangium's movecount coefficient) is about the same. By my calculation, average movecount: 9.167, average MCC: 12.767. Mehta has OO L5EP-DR. If you decide to do this, let me know, and I have alg sheets I generated.

EDIT: My approach was slightly different, starting Mehta FB > 3QB though.
 
Next: B' L U2 F R2 F D2 U2 R2 F' R2 B2 F' R U' B R' F' D R
CFOP, 50 STM
x2 // Inspection
U R' F' U' D B' R' // Cross
y' D L' U' L D' F U2 F' // F2L 1 & 2
R U R' U' R' U' R U2 R' U R // F2L 3 & 4
r U' r2 U r2 U r2 U' r // OLL
U2 R2 F R U R U' R' F' R U2 R' U2 R U' // PLL
ACN

ZZ-OP, 52 STM
x2 y // Inspection
U F' L' U' D R' F' D R' U' R D' f R2 S' U2 F' // EO XX-Cross
U L U2 L' U' L U L2 U L // Last 2 pairs
U' r U R' U' r' F R F' // OLL
U' R U R' U' D R2 U' R U' R' U R' U R2 U2 D' // PLL
ACN

Next: U L2 F2 U2 B2 D2 F2 L2 F L2 F' L2 U B L D2 U2 R' D L2
 
The average movecount is higher but the average MCC (Trangium's movecount coefficient) is about the same. By my calculation, average movecount: 9.167, average MCC: 12.767. Mehta has OO L5EP-DR. If you decide to do this, let me know, and I have alg sheets I generated.

EDIT: My approach was slightly different, starting Mehta FB > 3QB though.
I don't think I'm ready for it yet but are the ones you have different from this?

Next: U L2 F2 U2 B2 D2 F2 L2 F L2 F' L2 U B L D2 U2 R' D L2
Petrus:
y // Inspection
L2 E2 R' F2 U L' D // Inefficient 222 for easy extension [7/7]
R U' R2 F2// 223 [4/11]
R U2 // Pair [2/13]
R U F U' F R U F' U' F // Inefficient EO for easy F2L [10/23]
U2 R U R U R // EZ F2L [6/29]
L U2 L2 U' L2 U' L2 U2 L // ZBLL [9/38]
38 STM

I think this is my first Petrus example solve.

APB:
y // Inspection
L2 E2 R' F2 U L' D // Inefficient 222 for easy extension [7/7]
R U' R2 F2// 223 [4/11]
R U2 // Pair [2/13]
R2 S R F R2 f' R // EOpair [7/20]
U2 R U' R' U R U R' // L3P [8/28]
M2 U M2 U2 M2 U M2 U2 // EPLL [8/36]
36 STM

APB works too...

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