The 3x3x3 Example Solve Thread


Nice 3-Style BLD Solve :)

F // Six Pieces Solved
D2 R D2 // Seven Pieces Solved
L2 B L' B' l' // Eleven Pieces Solved
F' R' F M F' R F // Thirteen Pieces Solved
L F U' L2 S' L2 S U F' // Fifteen Pieces Solved
S' R S L' S' R' S // Sixteen Pieces Solved
F2 E' F2 L S' L2 S L E // Twenty Pieces Solved

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

L U F U' B' // EO

L R D L U2 R' D2 // Cross + Setup 2 Pairs

U L U L' // 1st Pair

U2 R' U R // 2nd Pair

U L' U2 L // 3rd Pair

R U' R' U R U R' // 4th Pair

y L U2 R' U R U2 L' U' R' U2 R // ZBLL

Insane F2L lol


NEXT: L2 F2 R2 U2 R2 L2 D2 L2 F2 B2 L2 F2 B2 D2 B2 U2 F2 U2 L2 D2 L2 R2 B2 R2 D2

Challenge: Solve with only half moves(no reversing the scramble. I see you, ProStar.)
 
NEXT: R2 L B' L D F B2 R' D L' B2 L2 F2 B2 U2 R2 D F2 U F2 L2

/* Scramble */
R2 L B' L D F B2 R' D L' B2 L2 F2 B2 U2 R2 D F2 U F2 L2

/* Solve */
U F M' x' B' // EO

R2 U L2 B2 D' // Cross

U' R' U' R2 // 1st Pair

U' M' x' U' L2 U L // 2nd Pair

U R U' M' x' // 3rd Pair

U2 L' U2 L U' L' // 4th Pair

R' U' R2 U2 L' U R2 U' L U' R2 U' R' U2 // ZBLL

// View at alg.cubing.net



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

Scrambke: U2 R2 F2 L' D2 R' B2 R D2 R' F' L2 B' U' R D2 U' L2 D2
Time: 8.909
reconstruction:

x2 // inspection
L' F' L D' R' D // cross
U2 R U' R2' U R
y' R U' R' U2 R U' R' (should've done L' U' L U2 L' U' L without the rotation) // 2nd pair
y R U R' U' L U' L' // 3rd pair
U' F' R U R' U' R' F R // 4th pair
U2 F U R U2 R' U' R U2 R' U' F' // OLLCP
M' U' M2 U' M2 U' M' U2 M2 // PLL
U' // AUF

56 STM, 6.3 TPS

NEXT: U' L' F D2 R2 D R U' L2 U' B2 R2 U' B2 D' B2 D2 R2 L F R'
 
Scrambke: U2 R2 F2 L' D2 R' B2 R D2 R' F' L2 B' U' R D2 U' L2 D2
Time: 8.909
reconstruction:

x2 // inspection
L' F' L D' R' D // cross
U2 R U' R2' U R
y' R U' R' U2 R U' R' (should've done L' U' L U2 L' U' L without the rotation) // 2nd pair
y R U R' U' L U' L' // 3rd pair
U' F' R U R' U' R' F R // 4th pair
U2 F U R U2 R' U' R U2 R' U' F' // OLLCP
M' U' M2 U' M2 U' M' U2 M2 // PLL
U' // AUF

56 STM, 6.3 TPS

U' L' F D2 R2 D R U' L2 U' B2 R2 U' B2 D' B2 D2 R2 L F R'

next?
 
NEXT: U' L' F D2 R2 D R U' L2 U' B2 R2 U' B2 D' B2 D2 R2 L F R'

/* Scramble */
U' L' F D2 R2 D R U' L2 U' B2 R2 U' B2 D' B2 D2 R2 L F R'

/* Solve */
z2 // Inspection (0)

F L R2 D R U2 F U F' // 2x2x2 (9)

U L U' L' // 2x2x3 (4, 13)

U F R' F2 U' F // EO (6, 19)

U2 R U R U2 R // F2L (6, 25)

F R U R2 U2 R2 U R2 U R F' U' // ZBLL (12, 37)

// View at alg.cubing.net


Woah! 6 Move F2L :O


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

/* Solve */
z2 // Inspection (0)

F L R2 D R U2 F U F' // 2x2x2 (9)

U L U' L' // 2x2x3 (4, 13)

U F R' F2 U' F // EO (6, 19)

U2 R U R U2 R // F2L (6, 25)

F R U R2 U2 R2 U R2 U R F' U' // ZBLL (12, 37)

// View at alg.cubing.net


Woah! 6 Move F2L :O


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

/* Scramble */
F2 L2 B2 U2 R2 U2 R' D2 R' B2 R2 D R2 B L R' B D2 L2 U'

/* Solve */

y2 // inspection

R' D' L2 U D' L U' L' // 2x2x2


F' U' D R' D' U2 L' U L // 2x2x3

y R' F R2 U R' // EO

y' U R2 U R' U' R2 U R' U' R' U2 R U2 R' U R // L2P

R U2 R' U' R U R' U' R U R' U' R U' R' // COLL

M2 U M' U2 M U M2 U

61 STM

@PetrusQuber do you want to critique this? I know Petrus is supposed to be super efficient but my CFOP solves take less moves than that.
 
Full blown explanation and critique time...
Alright, 2x2x2. I can see you’re creating a mini cross and inserting a pair. Quick tip, I normally blockbuild 2x2x2 by building a 2x2x1, solving the last edge into place, and combining them. So for that solve, I can IMMEDIATELY notice 2 free pairs done for you on the cube. I generally use pairs as part of the 2x2x1 (or maybe slot them in if it’s easy to create the mini cross), let’s check our options here.

We can see the RBY pair, the two colours it could be part of a 2x2x1 on are blue and red. To create the blue 2x2x1, you’d have to take out that stuck YB edge next to it, not very efficient. What if we used the red side of the pair for a red 2x2x1? The RY edge could go down to the bottom layer, and receive the RBY pair easily enough (B2 R’ F2 from scramble position), but the YB edge which we want to solve into place immediately afterwards, would still be stuck with the 2x2x1, which mean we would waste moves getting it out. Let’s check our other option.

The other option is the OWG pair. The white 2x2x1 it could go into would be a 4 mover, and leave the last edge in a decent position (x2 L R F’ R2 D L D from scramble position) which would be OK, but the orange 2x2x1 is much better. One move for the other 2x2x1 edge to setup into D layer to receive pair, one move to pair (x’ z’ F L2). Then D’ R D2.

My solution for 2x2x2: x’ z’ F L2 D’ R D2, although in a speedsolve I might do it from a different angle for going into 2x2x3.
If there were no pairs, I’d see if there was anything else I could use, such as already solved last edges, formed mini crosses, etc, then try find a one move pair.

Next, 2x2x3. I’m going from your 2x2x2 solution. Normally I do a quick look around as I finish 2x2x2 for anything that might help me out, similar to inspecting the 2x2x2. I have limited time though, and things like solved pairs are less common here, so generally I go for the BRD expansion, because you don’t need a rotation for EO. If that’s kind of bad, I check FLD, then UBL. I switch between BRD and FLD a lot anyway, doesn’t matter too much.

I see you saw the solved expansion pair, that was pretty lucky. They generally don’t come up often. You chose to CFOP style this, solving the flipped edge, then slotting it in. Generally for Petrus, you aim (once again) to create a 2x2x1 block which you can then put next to the 2x2x2 to create a 2x2x3. In this situation, I would do: F’ R U R2, which creates the 2x2x1. Then just a F2 to attach it. These cases, you just have to play around with them and figure out an efficient solution other than reverting to cross edge, pair. In this case, I saw the pair which could be part of the 2x2x1 with an R’ move, and the edge, which could be placed at UF as the other part of the 2x2x1 easily enough, and just solved. Here’s some cases, credit to @Tao Yu : https://drive.google.com/file/d/0B9rtv6geC-SuenRzQ2lPSDhYQnM/view If there was no pair, I’d generally look for 1/2 move pairs and follow on from there.

Moving onto EO, good job :). You saw the 4 bad edges, and solved them seamlessly. I recommend looking through all the cases on lar5.com for optimality. I would’ve done the same here, not much to say.

For F2L, placing the cross edge is a bad idea unless you feel there is a specific advantage in some cases. To blockbuild a 2x2x1 then do a pair is generally more efficient. On the bright side, your pairs are pretty good (natural I suppose), make sure you know the cases which preserve EO, coming from CFOP. I saw the YBO expansion wasn’t in a good position (edge attached unhelpfully), so I went for the YGO one (though it isn’t much better). A U move brings it out into the open, R U2 R2 pairs, U R2 U2 R creates the 2x2x1. Then R’ D’ R U’ R’ D R U R U’ R’ as the pair. My solution is U R U2 R2 U R2 U2 R R’ D’ R U’ R’ D R U R U’ R’. To be honest, that was actually less efficient than your solution, since the pair was a pretty bad case, and neither expansions were great. So you did fine there, just keep in mind blockbuilding is more efficient most of the time. Just practise pairing up and attaching the edge to form a 2x2x1. (And do CFOP style if the blockbuilding doesn’t look good). Quick side note, I generally don’t consider expansion options on the U layer, because the rotation takes valuable time. I only do if there is an easy pair.

For COLL, same one I use, fine.

For EPLL, same one I use, fine.

That was kind of long, but do try and read it. It’ll help :). Make sure you understand it, or it’s pointless critiquing.
Edit: Actually, I think I heard from @PapaSmurf that OCLL and PLL is faster than COLL and EPLL, it’s just COLL is an essential stepping stone for ZBLL. COLL takes some time to recognise, and most algs are worse or the same as the OCLL. And most PLLs are pretty fast.
 
F2 L2 B2 U2 R2 U2 R' D2 R' B2 R2 D R2 B L R' B D2 L2 U' Owen you didn't say new...

x M' U' F B' U' B' L2
y U D2 L U L' U L U' L'
R' U R U' y U' L U L2
U' L U' F U' F' R U' R'
U L' U2 L y' U' R U2 R' U' R' F R F'
U2 F U R U' R' F'
U' R U2 R2 U' R2 U' R2 U2 R
R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R' U
 
F2 L2 B2 U2 R2 U2 R' D2 R' B2 R2 D R2 B L R' B D2 L2 U' Owen you didn't say new...

x M' U' F B' U' B' L2
y U D2 L U L' U L U' L'
R' U R U' y U' L U L2
U' L U' F U' F' R U' R'
U L' U2 L y' U' R U2 R' U' R' F R F'
U2 F U R U' R' F'
U' R U2 R2 U' R2 U' R2 U2 R
R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R' U
Neither did you...
 
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