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PLL

2010-08-07T17:01:27Z

Sir E Brum: /* R Permutation : a */

__NOTOC__
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].
{{PLL}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong>

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as a [[sub step]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|S R U2 R2 U2 R2 U2 R S'|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|L R U2 L' R' y L' R' U2 L R|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}
{{Alg|R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2'|PLL|vidur2=http://www.youtube.com/watch?v=HI9ff1ACklU}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|L R' U' R U L' U' R' U Rr U R' U' r' F R F'|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|y R2 (U D') R2' U R2 U' R2' D R2 U' R2' U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}
{{Alg|y x' R' U' F' U R' U' x U R' U' R' U R B R2|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|R' U R' U' y x R' F R' F' R2 U' R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 B' R' B R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

<br>{{PLL}}

== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]

One-Handed Solving

2010-03-28T18:19:00Z

Sir E Brum: /* External Links */

'''One-Handed solving''' (or '''OH''' for short) is a category of [[speedcubing]] that has become very popular recently. One-handed solving requires the participant to solve a Rubik's cube with one hand, and the rules are very strict: you cannot touch the cube with the table or any other part of your body during a solve. This may seem very difficult, but people have gotten averages of as low as [http://speedcubing.com/records/recs_dext_oh_333av10.html 16.19 seconds] on the [[3x3x3]], with typical competition-winning times being around 20–21 seconds.

==Which Hand to Use?==

While it may appear most obvious that the best hand to use is the dominant hand (i.e. right-handed cubers would use their right hand), using the other hand can work just as well. One reason to use the other hand is if you normally execute algorithms with mostly R and U moves, you will find it much easier to do these turns with your left hand (and similarly L turns are easier to do with the right hand). It is also helpful to do OH with a hand that is already used to holding the cube. Either hand can be very fast, though, and you should definitely try both hands to see which one feels better for you.

==Making Turns==

Most one-handed cubers will hold the cube with the thumb and middle finger (and often the ring finger as well) and perform turns with the other fingers. Since one goal of one-handed cubing is to use as many R and U turns (or L and U) as possible as they are much faster and more comfortable, the focus is on how to do these turns easily, and there are two main schools of thought on how to accomplish this:
* One way, used by Ryan Patricio, involves using the index and ring finger: the index finger does U by pushing LUB, U' by pushing BUL, and R' by pushing BUR, and the ring finger does R by pushing BDR. The ring finger is also free to do D and D' moves, so this method can be useful for people who use a lot of LUR or URD algorithms.
* The second way, used by the top Japanese OH cubers as well as Brian Loftus, involves using the index and pinky fingers only. The cube is held with the other three fingers, and then the index finger does U by pushing FUL and U' by pushing BUL, and the pinky does R by pushing BRD and R' by pushing FRD. Although this method is faster for sequences of only U and R turns, no other turns are possible without rotating the cube or changing the grip, so this method of turning can require more cube rotations than the other kind. It is however possible to do u and r turns with a slight grip change.

==Training the OH Hand==

For most people who want to try OH, their fingers will not initially be anywhere near strong or fast enough to perform [[algorithm]]s quickly, so there are several ways to train the hand:
* Doing specific moves over and over. Just doing RU' or RUR'U' repeatedly can be useful for training the fingers involved in those positions.
* Performing algorithms. Simply solving a lot without a break, or doing OLL or PLL attacks, can be very useful for training not only the different types of movements required for a solve but also the endurance of the fingers involved. Slowing down at the end of a solve would indicate that you need more endurance.
* Executing random moves or scrambles. Johannes Laire suggests this method of training; it is useful for exercising the whole hand and not just the fingers that are involved in turns.

=="One-Handed Amnesia"==

Many beginning OH solvers have found that when they start doing OH solves they often forget algorithms while they are solving, even if they know the algorithms very well for two-handed solving. This might be because sometimes people learn algorithms using muscle memory, and thus are unable to perform them slowly or one turn at a time. If you want to start OH solving, be prepared to have to relearn some of the algorithms that you thought you knew.
@see [http://www.speedsolving.com/forum/showthread.php?t=14911 speedsolving.com alg Amnesia thread]

== See Also ==
* [[Solving with Feet]]
* [[Blindsolving]]
* [[Fewest Moves]]
* [[3x3x3 Cubes]]

== External Links ==
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=15523 Beginners one handed tips and pointers thread]
* [http://pagesperso-orange.fr/absolutemind/oll1h-angl.html Absolute OLL OH] by Sébastien FELIX
* [http://pagesperso-orange.fr/absolutemind/pll1h-angl.html Absolute PLL OH] by Sébastien FELIX
* [http://www.loftycuber.110mb.com/oll.html Lofty's Guide to One Hand Cubing OLL] by Brian Loftus
* [http://www.loftycuber.110mb.com/pll.html Lofty's Guide to One Hand Cubing PLL] by Brian Loftus
[[Category:Solving Variants]]

OLL

2009-01-14T01:41:07Z

Sir E Brum: /* OLL 23 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

Parenthesis in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].

The areas shaded in gray represent the oriented peices on the top layer. You can tell if a peice is oriented by looking at the top color of the peice in relation to the top center of the cube. If the peice is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded peice represents where the [[sticker]] that needs to on top for it to be oriented is.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R

||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2

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[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]