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Set of 3-gen <L,U,R> PLL's!

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molarmanful
Thread starter #1
See here for the algorithms.

I did this just because, but there are some algorithms in there that are pretty OH-friendly.

WARNING: Some algorithms may be impractical because of length or awkwardness. These algorithms are only meant to prove that all PLL's can be 3-gen, but not that all PLL's should be 3-gen.

Of course, if you have a shorter LUR algorithm, then let me know -- I'd be happy to add it to the page.
 
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#10
A shorter proof that every PLL (and even every OLL, thus every LL) is 3-gen:

J: R U R' F' R U R' U' R' F R2 U' R' U'
U counterclockwise: R2 U' R' U' R U R U R U' R

That's enough to proof that every PLL is RUF 3-gen, and: Doing F R U R' U' F' or F U R U' R' F' with some U turns you can orient all the LL edges, and doing combinations of sunes and antisunes and U turns, you can orient the corners.

The whole LL is 3-gen and I explained it in 6 lines.

;)
 
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IAmAPerson620
#17
Here's a collection of shorter ones.

E Perms:
R L2 U' L2 U R' U' L2 U2 L2 U' R' U L2 U' R L2
R2 L U' R2 U L' U' R2 U2 R2 U' L' U R2 U' R2 L
R2 L' U R2 U' L U R2 U2 R2 U L U' R2 U R2 L'
R' L2 U L2 U' R U L2 U2 L2 U R U' L2 U R' L2

T Perms:
U R U L' U R' U2 L U R U2 L' U2 L U' R'
U2 L U L' U R2 U' R2 U' L U' L' U R2 U R2
U2 L2 U L2 U R2 U' R2 U' L2 U' L2 U R2 U R2
U2 L2 U L2 U R' U' R U' L2 U' L2 U R' U R

Ga Perms:
U R L2 U2 R' L2 U' L U R U' L U2 R' U L2 U
U R L2 U2 L2 U' L U2 R' U R U2 L U2 R' L2 U
U R' U2 R2 U2 R2 U L U2 R2 U' R2 U R U L' U
U R' U2 R2 U2 R2 U' R2 U' R2 U2 L U' R U L' U

Gb Perms:
U2 R U' L' U R U2 L2 U' R2 U R2 L2 U2 R2 L
U2 R U' L' U R' U2 L2 U L2 U L2 U2 L2 U2 L
U2 R U' L' U' L2 U L2 U2 R' U' L2 U2 L2 U2 L
U2 R2 U' L U2 R' U L' U' R' U R2 L U2 R2 L'

Gc Perms:
U R2 L U2 R2 L2 U R2 U' L2 U2 R U L' U' R U
U R2 L' U2 R2 U R' U2 L U' L' U2 R' U2 R2 L U
U R2 L' U2 R2 L U R' U' L' U R' U2 L U' R2 U
U L U2 L2 U2 L2 U L2 U L2 U2 R' U L' U' R U

Gd Perms:
U R' L2 U2 L U2 R U R' U2 L U' L2 U2 R L2 U
U L U2 R' U' R U2 L2 U L U2 R' U' L' U2 R L
U L2 U R' U2 L U' R U L U' R' L2 U2 R L2 U
U L2 U' L U' R U2 L' U L' U2 L2 U2 R' L U2 L2


If you want any more, just ask. Also, a lot of these start with U or U'. If you want some that start with R, R', L, etc. just ask. I don't mind.
 
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