4x4 Parity Algorithms

James said:
I have spent a while looking around and I can't find a collection of different 4x4 OLL parity algorithms in one place. What are your favorites?

I personally like Rw' U2 Lw F2 Lw' F2 Rw2 U2 Rw U2 Rw' U2 F2 Rw2 F2, but there are probably better ones.
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Hmm, why would you want this?? It suffices with only one such algorithm and a (commutator) 3-cycle. Then again, im not a hard-core speedcuber. What premethod would it be useful for? Certainly not the common ce3 method ...

Per
 
For the corner parity error, hold the cube so that the 2 misplaced corners are facing you and are adjacent, then do the algorithm that is used when flipping the middle edge on a 5x5, and the move is R2 B2 U2 L U2 R' U2 R U2 F2 R2 F2 L' B2 R2.

Note: This move usually uses some middle layers, but this time, just move the outer layers. Their could be a shorter move but this is the one I use.
 
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AvGalen said:
jcuber: As long as the LL-alg won't be very long (remember, about 13 moves) you can try Clement Gallets solver
Kian: That's a pretty useless post. I already said "never" instead of never, but I challenge you to calculate the following: Let's say that 13 moves on a pc would only take 30 minutes and that computers will double in speed every 18 months. Now please calculate how long it would take to find a 30 move solution on a 4x4x4 NOW, and if you would still be alive when that can be done in 30 seconds. Seriously, please calculate this so you get a grasp about "big numbers"
Click to expand...

True, but not quite fair--cube solutions are not (in fact, can't be) calculated with a brute force algorithm. They use heuristics to tell them where to search. If the heuristic function satisfies certain properties, you can be guaranteed to get an optimal solution anyway.

So an improved heuristic function does have the potential to make a 4x4x4 optimal solver, possibly even on today's computers. Granted, as you point out, the accuracy of the heuristics we have today are far from what would be necessary for such an optimal solver; I'm just pointing out that the hardware restrictions are not necessarily the bottleneck.
 
Robert-Y said:
jcuber said:
No case for the "corner" Parity? I want one.
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For now, it's best to do PLL parity + T perm or N perm (Depending on which one you're talking about). I don't know about any shorter algs.

EDIT: Oh wait, Clement has an alg for swapping two opposite corners, but I'm not sure if that's faster than PLL parity alg + N perm.
Click to expand...

This is what I use for opposite corners:
L U L' [PLL-parity] y' R U R' U' R' F R2 U' R' U' R U R' U' F'
 
qqwref said:
Robert-Y said:
jcuber said:
No case for the "corner" Parity? I want one.
Click to expand...

For now, it's best to do PLL parity + T perm or N perm (Depending on which one you're talking about). I don't know about any shorter algs.

EDIT: Oh wait, Clement has an alg for swapping two opposite corners, but I'm not sure if that's faster than PLL parity alg + N perm.
Click to expand...

This is what I use for opposite corners:
L U L' [PLL-parity] y' R U R' U' R' F R2 U' R' U' R U R' U' F'
Click to expand...

Lol ok I'm wrong about the opposite corners thing then :p (I'm gonna learn this alg ;))
 
I actually like opposite corners because I get to do my favorite N perm from any direction without AUF or cube rotations, then the PLL parity alg, with a 3/4 probability of having some sort of move cancellation. And the best case is when the "required AUF" is a U2 - this way it cancels with the annoying U2 at the start/end of the PLL parity alg (I use 2R2 U2 2R2 Uw2 2R2 Uw2).
 
4x4 Parity

I didn't really find anything to my interests on youtube. But could any of you who are particularly fast on doing 4x4 parity algs mind creating a video or explaining any fingertricks you do? I don't believe there is anything special to them, but right now I am just terribly slow at doing them and was looking for ways to improve, and i figured I would examine my parity algs
 
freshcuber said:
r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 M r' U2 r'


Is that the one you already use?
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Yea thats my pure flip. I already know how to fingertrick that from his video. But I was more talking about the standard r2 B2 one.
TiLiMayor said:
Ask waffo, he has some fast parity algs.
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I'll ask him for anything other then the pure flip. Although I love performing the pureflip. Its slower then my regular alg.
 
Kian said:
Take your time and don't do any X turns you don't see there. It will work.

Edit: Btw those the r and r' moves I listed are wide turns, not slice turns. Maybe that was your problem?
Click to expand...

Yea that was my problem. :P

I quite like that OLL parity alg. With plenty of double flicks I think I can get that sub 3 :) thanks a bunch Kian
 
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