U2 for centers

Stefan

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In Budapest I talked with Chris about blindsolving the 6x6 and I came up with the U2 method for centers.

Buffer: Ufl
Target: Ubr
Algorithm to swap buffer and target: U2

The centers on F, B, L and R can be solved like this:

(r' u* r) U2 (r' u* r)
(r d* r') U2 (r d* r')
(b' d* b) U2 (b' d* b)
(b u* b') U2 (b u* b')

Each of these solves three centers, the remaining four require an extra initial get-out-of-the-way setup move. The D centers need some other alg, but just one, as you can use a D turn setup move.
 
What's your D-centers solution? And I didn't mention the U-centers because, well, I forgot. There's a ten moves solution for them, though. The nine moves three-cycle similar to A-perm for 3x3, plus a U2.
 
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Wait! I forgot why I forgot. Now I remember why I forgot: I didn't forget. Shooting from U to U is unnecessary. That's why I didn't cover it. I think. Maybe it is necessary. Or not? Once you have a U center in the buffer, you do just a U2 turn to break into the cycle starting at the target. Unless that one already contains a U center, too. In which case you can do a single U turn and start using the other two U center positions as buffer and target. I didn't fully think this through, though. Maybe that's the reason I didn't publish this method earlier. I'm confused now. Great.
 
Another idea would be that you start memorization of center-cycles at U always, so all cycles that include U-centers start with this U-piece. Then you do not have any problems because you do U, U' or U2 as the first move and undo it in the end of the cycle. That's really easy and fits into my way of memorization.

I think that's what you mean Stefan ;)
 
Btw, as said before, I made this up for 6x6. I think its new center type that the 4x4 doesn't have makes shooting to D easier. I have trouble visualizing it, though. Could someone please borrow me his 6x6 for a moment?
 
Stefan, how do you set-up centers like Lub or Fur?

I'm having some trouble with them...I thought about doing L or F, then a "normal" set-up...but you have to keep that L or F until you have done 2 "U2 cycles", or you'll mess up the edges...

do you have a better solution?
 
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Stefan, how do you set-up centers like Lub or Fur?

I'm having some trouble with them...I thought about doing L or F, then a "normal" set-up...but you have to keep that L or F until you have done 2 "U2 cycles", or you'll mess up the edges...

do you have a better solution?

Have you thought about d/u as a "move out of the way"-move?
 
Stefan, how do you set-up centers like Lub or Fur?

I'm having some trouble with them...I thought about doing L or F, then a "normal" set-up...but you have to keep that L or F until you have done 2 "U2 cycles", or you'll mess up the edges...

do you have a better solution?

Have you thought about d/u as a "move out of the way"-move?

no...:O those are much better than R/F/L/B as "move out of the way"-moves :)

great, Tim! that's why you're so good at 4x4 bld :D
 
Stefan, how do you set-up centers like Lub or Fur?

I'm having some trouble with them...I thought about doing L or F, then a "normal" set-up...but you have to keep that L or F until you have done 2 "U2 cycles", or you'll mess up the edges...

do you have a better solution?

Have you thought about d/u as a "move out of the way"-move?

no...:O those are much better than R/F/L/B as "move out of the way"-moves :)

great, Tim! that's why you're so good at 4x4 bld :D

I'm not good, Chris and Mátyás are good. Anyway, i'm going to play around with U2 in the train later. U2 seems quite nice, hopefully it's faster than commators for me.
 
Lol, Stefan strikes again, first time I saw it (not reading the post yet): *smack head* why didn't I think of this?? It's 100x better than r2 xD. Stefan rocks :D (Chris too!)

Really? I smacked my head the second I saw his M2 page, but I think r2 will be nicer for centers. It's easier to execute r2 with free fingers, and for oblique centers, you only have 4 centers in the appropriate slice. Gah, why did our district come up with this silly concert??? :confused: :mad:
 
Lol, Stefan strikes again, first time I saw it (not reading the post yet): *smack head* why didn't I think of this?? It's 100x better than r2 xD. Stefan rocks :D (Chris too!)

Really? I smacked my head the second I saw his M2 page, but I think r2 will be nicer for centers. It's easier to execute r2 with free fingers, and for oblique centers, you only have 4 centers in the appropriate slice. Gah, why did our district come up with this silly concert??? :confused: :mad:

U2 is also very easy to execute...

and what do you mean with that other part?
I was thinking about this and saw that U2 is way easier when it comes to "bad" centers, or the centers in your working layer...

with U2, you only have 3 centers in the same layer as your buffer, and it's easy to shoot to one of them: just a U, U' move (you just have to remember to undo it later)

with r2, you have more centers in your working layer...and it's kinda hard to shoot there...or isn't it?

I didn't try both methods a lot, but I think if I'll move away from commutators (not that I'm doing them for a long time...did just one real 4x4 bld try), it will be to U2
 
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