cuBerBruce
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See: http://www.jaapsch.net/puzzles/pgl25.htmSomehow the permutation of the corners is restricted in <R,U>. The question is: why?
See: http://www.jaapsch.net/puzzles/pgl25.htmSomehow the permutation of the corners is restricted in <R,U>. The question is: why?
Oh. The answer boils down to something quite simple: you cannot isolate a corner in either the U face or R face using <U,R> turns.I think he meant that if you scramble the cube with <R,U>, then you solve DFR and DBR, then all the corners on the up side is permutated well (with AUF), and they only need an orientation. Equivalently: there is no PLL where you swap corners using only <R,U>. Somehow the permutation of the corners is restricted in <R,U>. The question is: why?
I have an explanation for all 10 of your remaining algorithms.
When you started doing OH, did you have to re-learn a lot of algs?
Since i pretty much know full OLL 2h, I would really like to be able to learn how to do all these algs 2h without having to re-learn them for OH muscle memory...
I just can´t do it tho, all algs are in my muscle memory and I can´t do them slowly.
Or is it just easier to learn all OH OLLS?
Hey coldsun0630, The 8 algorithms you asked about can be broken into 3 categories; and I will touch on them all. The first two categories are related, as you will soon see.
Now I just read your all writing and it was AWESOME!Oh. The answer boils down to something quite simple: you cannot isolate a corner in either the U face or R face using <U,R> turns.
HTM move optimal 2 edge flip: [F'EF',R2U2R2]
F'EF': flips UF
U2: switches UB and UF
R2s: stuff
This does a 3 edge cycle.
I first note that the inverse of my decomposition for the v perm is much easier to understand than how it's currently written in your post (at least to me). (I think this modification makes it easier-to-understand than yours, as it follows the "classic" parity algorithm setup.) But your representation is creative. That must have taken a while to make.And also, any feedback is welcomed!
Hello again, it's nice to see you! It has been for a while since I learned from you how algs does works on the cube. At that time, actually I wasn't experienced enough at cubing. So I could figure out some easy algs like some U Perms or J Perms, but I failed to decompose other computer-generated algs, so I asked here about them before. Most of them were answered on your old post, and it was very, very helpful to understand the cube itself. I still appreciate you for this. But some of your description were not enough to accept, and that's why I tried to re-decompose the algs.I agree you did improve on them. I taught you well!
The decomposition set presents you "how I understood the algorithms", so it means they are just my collection, but not the "correct answer". Of coursely, the way to decompose could be same with yours. Some algs are so obvious that is hard to find other ways to decompose. But some algs are not: the decomposition may be varied by the difference of one's perspective. Oh, please be sure that the comparison is not to show that my explanation is better than yours, but to show that how the interpretation of each algs could be different.As far as the rest of yours, they are too similar to mine.
I have two rules on my decomposition:I first note that the inverse of my decomposition for the V Perm is much easier to understand than how it's currently written in your post (at least to me).
L F2 R2 D R D' R F2 L' U
L F2 R2 D R D' R F2 L' U
L F2 R' // setup move
R' D R D' // sexy move (edge 3-cycle, corner 2x2-cycle)
R F2 L' // reverse setup move
U // extra quarter turn
R U2 R' L' U R U' L U2 R' U
R U' // setup move
U' R' [1] U R // sexy move
U R' // reverse setup move
Insert at [1]: L' U R U' L U R' U' // corner 3-cycle
R U2 R' L' U R U' L U2 R' U
= r U2 R' l' U R U' l U2 r' U
R U2 R' L' U R U' L U2 R' U
l F2 r' // setup move
R' D R D' // sexy move (edge 3-cycle, corner 2x2-cycle)
r F2 l' // reverse setup move
U // extra quarter turn
r U2 R' l' U R U' l U2 r' U
r U' // setup move
U' R' [1] U R // sexy move
U r' // reverse setup move
Insert at [1]: l' U R U' l U R' U' // pair 3-cycle
Okay. Let's take a look one by one.They all have sune-type algorithms in them, which I think many on here will like.
Well, I edited the post once because I copied wrong decomposition of the Z Perm. So, I wonder if you saw this new one:R' U' R U' R U R U' R' U R U R2 U' R' U2 (Z Perm): Two Algorithm Combination
R' U' R U' R' U2 R U2 // sune alg + U2
U2 R' U2 R2 U R U' R' U R U R2 U' R' U2 // a long sune alg
Well, this is basically same as my explanation. I always decompose sune algs using 2-moves-conjugation and sexy move. And for the shift, I was used to explain it with setup moves, which called "cyclic shift". (I brought the term from BH Method.) In this case, I explain the shift like this:R U R' U' R' U R U2 R' L' U R U' L U' R U' R' (F Perm): Derivation:
R U R' U' // setup move 1
R' U R U2 R' [1] U R U // shifted sune alg + extra quarter turn
U R U' R' // reverse setup move
Insert at [1]: L' U R U' L U R' U' // corner 3-cycle
R U R' F' R U2 R' U2 R' F R U R U2 R' U' (R Perm): Derivation:
R U' R' U2 // setup move 1
R' // setup move 2
(R U2 R U2 R') F' (R U2 R' U2 R') F // corner 3-cycle
R // reverse setup move 2
U' // extra quarter turn
U2 // setup move 3
R U2 R' U' R U' R' // sune alg
U2 // reverse setup move 2
U2 R U R' // reverse setup move 1
Re: Feedback
Well actually, I have a problem with the R Perm decomposition. In my old decomposition, I took setup move [R U R' F'], because of my rule #2. But I failed to decompose which compatible with these alg. Would you please decompose them with a same explanation?
R U R' F' R U ( ) R' U' R' F R ( ) R U' R' // [J Perm]
R U R' F' R U (U R' U' R) R' U' R' F R (U R U' R') R U' R' // [R Perm]
R U R' F' R U (U R' U' R)2 R' U' R' F R (U R U' R')2 R U' R' // [G Perm]
R U R' F' R U (U R' U' R)3 R' U' R' F R (U R U' R')3 R U' R' // [J Perm]
R U R' F' R U (R' U R U')2 R' U' R' F R (R U R' U')2 R U' R' // [R Perm]
R U R' F' R U (R' U R U') R' U' R' F R (R U R' U') R U' R' // [G Perm]