Speedsolving.com Wiki - User contributions [en]

Category:Puzzle Shops

2010-04-07T01:45:59Z

Rcnrcn927: /* General Purpose Shops */

__NOTOC__
A comprehensive list of puzzle shops, and other shops offering rubiks type puzzles, with information/reviews on their service and products.

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== Manufacturers With Shops ==

=== [[Cube4You]] ===
A large range of puzzles. Delivery often reported to take a long time (up to 6-weeks).
* http://www.cube4you.com
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=17116 Cubeforyou seriousness?]
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=17081 Cube For You Problems (unpaid when paid?)]
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=17056 C4Y hardware problems]

=== [[V-cube|V-Cubes]] ===
Manufacturer of larger dimensional cubes up to 7x7x7
* https://v-cubes.com

=== [[Mefferts]] ===
Manufactures a range of interesting puzzles.
* http://www.mefferts.com
* [[Mefferts | Mefferts Wiki Page]]
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=17114 Meffert's orders recently - problems?]

=== [[Rubik's]] ===
* http://www.rubiks.com/Shop.aspx

== General Purpose Shops ==
Shops which sell puzzles amongst other things

=== eBay ===
Often has bargain cubes/puzzles on offer.
* http://www.ebay.co.uk

=== DealExtreme ===
* http://www.dealextreme.com
* [[DealExtreme | DealExtreme Wiki Page]]
* Speedsolving.com [http://www.speedsolving.com/forum/showthread.php?t=7437 Deal Extreme]

=== Focal Price ===
Sells type-Fs
* http://www.focalprice.com
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=15284 About Focalprice]

=== PopBuying ===
Like Cube4You, Popbuying has also received criticism for long delivery times, but they seem to be more complaints on its delivery time with deliveries ranging up to more then 6 weeks. It seems to be mixed, some people have good service, some do not. It is noted to have no shipping costs.
http://www.popbuying.com
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=16886 Popbuying has good cubes?]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18103 Popbuying Puzzle List ]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18162 Popbuying Official Thread (Updated Frequently)]

=== Cube Depot===
http://www.cubingstore.webs.com

http://www.speedsolving.com/forum/showthread.php?t=19070

=== SpeedCubeShop ===
A shop started by Camcuber. Sells a small selection of quality cubes with cheap shipping.
* http://www.speedcubeshop.com

== Dedicated Puzzle Shops ==

=== Cube Fans ===
* http://www.cubefans.com

=== hknowstore ===
* http://www.hknowstore.com

=== ediCubes.com ===
Sells Edison cubes worldwide.
* http://www.edicubes.com

=== Puzl.co.uk ===
A UK puzzle shop, with good quality puzzles and great customer service. Sells from the puzl.co.uk website and also an eBay shop. Prices may sometimes be cheaper on the ebay shop.
* http://www.puzl.co.uk
* [http://myworld.ebay.co.uk/puzl_co/ ebay shop]
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=15995 Puzl.co.uk - twisty puzzles and speedcubing items]

=== Cfoping ===
High quality cube and faster delivery to worldwide
* http://www.cfoping.com

=== 9spuzzles ===
* http://www.9spuzzles.com

=== SpecialtySpeedCubes ===
* http://www.specialtyspeedcubes.webs.com
* Speedsolving.com : [http://www.speedsolving.com/forum/showthread.php?t=16199 SpecialySpeedCubes]

=== Opticubes ===
Currently closed
* http://www.opticubes.com

=== PuzzleProz ===
Currently Closed
* http://stores.shop.ebay.com/PuzzleProz

=== Cube Lagoon ===
Get a rubiks cube for FREE! Yes, as in free beer!
* http://www.cubelagoon.com

=== Speedcubing Store ===
Online puzzle store located in the USA.
* http://speedcubingstore.webs.com/

|}

== See Also ==

* [[Puzzle Manufacturers]]
* [[2x2x2 Cubes]]
* [[3x3x3 Cubes]]
* [[Bigcubes]]
* [[Other Puzzles]]

== External Links ==
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19449 THE Cube Store Thread]

[[Category:Puzzle Hardware]]

PLL

2010-02-11T01:59:30Z

Rcnrcn927: /* E Permutation */

__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.

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

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last 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=9zFGbgB0xN4&feature=related}}
{{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|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|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}}

===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|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|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}}

==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}}

===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'|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}}

===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| 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}}

===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}}

===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' 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|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|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}}

===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|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' 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|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' 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|R' U R' d' R' F' R2 U' R' U R' F R F|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' 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}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}
{{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}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[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)

PLL

2010-02-11T01:58:53Z

Rcnrcn927: /* E Permutation */

__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.

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

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last 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=9zFGbgB0xN4&feature=related}}
{{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|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|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}}

===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|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|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}} (This is a commutator)

==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}}

===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'|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}}

===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| 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}}

===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}}

===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' 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|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|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}}

===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|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' 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|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' 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|R' U R' d' R' F' R2 U' R' U R' F R F|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' 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}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}
{{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}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[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)

PLL

2010-02-11T01:57:34Z

Rcnrcn927: /* E Permutation */

__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.

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

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last 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=9zFGbgB0xN4&feature=related}}
{{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|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|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}}

===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|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|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 (This is a commutator)|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}}

===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'|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}}

===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| 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}}

===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}}

===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' 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|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|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}}

===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|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' 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|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' 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|R' U R' d' R' F' R2 U' R' U R' F R F|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' 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}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}
{{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}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[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)

PLL

2010-02-10T17:37:20Z

Rcnrcn927: /* F Permutation */

__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.

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

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last 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=9zFGbgB0xN4&feature=related}}
{{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|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|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}}

===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|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|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}}

==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}}

===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'|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}}

===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| 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}}

===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}}

===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' 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|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|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}}

===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|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' 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|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' 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|R' U R' d' R' F' R2 U' R' U R' F R F|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' 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}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}
{{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}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[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)

OLL

2009-06-07T15:03:08Z

Rcnrcn927: /* OLL 30 */

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

Parentheses 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 pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top 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]]

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U 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' F R' F' R U R U' R'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* 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'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

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

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

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

|}

==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'
* R U2 R2 F R F' U2 M' U R U' r'

=== 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
* r' R U R U R' U' r R2' F R F'

=== 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'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

=="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
* y2 (L' U' L U') (L' U L U) (L F' L' F)
||

=== 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'
* y' r U2 R' U' R U R' U' R U' 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
* y2 F R U R' U' R' F' r U R U' 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'
* R U R'2 U' R' F R U R U' F

|}

=="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'
*R' F R U R' F R U' R' F' R U M' U' M
*L F' L' U' L F' L' U L F L' U' M' U M
*(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'

=== 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'
* R U R' U R U2 R' (Sune) U (F U 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)
* y2 l' U2 L U L' U l'

||

=== 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')
* L' U2 L U2 L F' L' F

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

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

||

=== 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'
* y F' L' U' L U F' Y F R U R' U' F'

=== 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'
* y' r R2 U' R U' R' U2 R U' R 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

* y' R' U' R U R B' R2 U' R U B
||

=== 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'
* r U' r' U' r U r' y' R' U R

=== 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
* y2 B' U' 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'
* M U (R U R' U') (R' F R F') M'

=== 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'
* M U' (L' U' L U) (L F' L' F) M'

||

=== 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'
* y2 R2 L z' l' U' R d L U' L l'

=== 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'
* y2 L2 R' z r U L' d' R' U R' 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
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

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

OLL

2009-06-07T14:47:43Z

Rcnrcn927: /* OLL 52 */

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

Parentheses 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 pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top 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]]

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U 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' F R' F' R U R U' R'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* 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'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

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

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

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

|}

==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'
* R U2 R2 F R F' U2 M' U R U' r'

=== 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
* r' R U R U R' U' r R2' F R F'

=== 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'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

=="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
* y2 (L' U' L U') (L' U L U) (L F' L' F)
||

=== 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'
* y' r U2 R' U' R U R' U' R U' 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
* y2 F R U R' U' R' F' r U R U' 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'
* R U R'2 U' R' F R U R U' F

|}

=="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'
*R' F R U R' F R U' R' F' R U M' U' M
*L F' L' U' L F' L' U L F L' U' M' U M
*(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'

=== 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'
* R U R' U R U2 R' (Sune) U (F U 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)
* y2 l' U2 L U L' U l'

||

=== 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')
* L' U2 L U2 L F' L' F

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

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

||

=== 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'
* y F' L' U' L U F' Y F R U R' U' F'

=== 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'
* y' r R2 U' R U' R' U2 R U' R 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

* y' R' U' R U R B' R2 U' R U B
||

=== 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'
* r U' r' U' r U r' y' R' U R

=== 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
* y2 B' U' 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'
* M U (R U R' U') (R' F R F') M'

=== 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'
* y2 R2 L z' l' U' R d L U' L l'

=== 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'
* y2 L2 R' z r U L' d' R' U R' 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
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

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

PLL

2009-06-07T02:16:21Z

Rcnrcn927: /* Z Permutation */

PLL

2009-06-07T02:14:24Z

Rcnrcn927: /* H Permutation */

OLL

2009-06-07T02:12:40Z

Rcnrcn927: /* OLL 11 */

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

Parentheses 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 pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top 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]]

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U 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' F R' F' R U R U' R'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* 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'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

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

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

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

|}

==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'
* R U2 R2 F R F' U2 M' U R U' r'

=== 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
* r' R U R U R' U' r R2' F R F'

=== 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'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

=="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
* y2 (L' U' L U') (L' U L U) (L F' L' F)
||

=== 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'
* y' r U2 R' U' R U R' U' R U' 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
* y2 F R U R' U' R' F' r U R U' 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'
* R U R'2 U' R' F R U R U' F

|}

=="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'
*R' F R U R' F R U' R' F' R U M' U' M
*L F' L' U' L F' L' U L F L' U' M' U M
*(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'

=== 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)
* y2 l' U2 L U L' U l'

||

=== 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')
* L' U2 L U2 L F' L' F

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

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

||

=== 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'
* y F' L' U' L U F' Y F R U R' U' F'

=== 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'
* y' r R2 U' R U' R' U2 R U' R 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

* y' R' U' R U R B' R2 U' R U B
||

=== 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'
* r U' r' U' r U r' y' R' U R

=== 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
* y2 B' U' 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'
* M U (R U R' U') (R' F R F') M'

=== 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'
* y2 R2 L z' l' U' R d L U' L l'

=== 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'
* y2 L2 R' z r U L' d' R' U R' 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
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

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

OLL

2009-06-07T02:08:45Z

Rcnrcn927: /* OLL 5 */

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

Parentheses 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 pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top 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]]

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U 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' F R' F' R U R U' R'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* 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'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

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

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

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

|}

==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'
* R U2 R2 F R F' U2 M' U R U' r'

=== 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
* r' R U R U R' U' r R2' F R F'

=== 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'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

=="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
* y2 (L' U' L U') (L' U L U) (L F' L' F)
||

=== 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'
* y' r U2 R' U' R U R' U' R U' 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
* y2 F R U R' U' R' F' r U R U' 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'
* R U R'2 U' R' F R U R U' F

|}

=="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'
*R' F R U R' F R U' R' F' R U M' U' M
*L F' L' U' L F' L' U L F L' U' M' U M
*(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'

=== 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)
* y2 l' U2 L U L' U l'

||

=== 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')
* L' U2 L U2 L F' L' F

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

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

||

=== 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'
* y' r R2 U' R U' R' U2 R U' R 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

* y' R' U' R U R B' R2 U' R U B
||

=== 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'
* r U' r' U' r U r' y' R' U R

=== 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
* y2 B' U' 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'
* M U (R U R' U') (R' F R F') M'

=== 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'
* y2 R2 L z' l' U' R d L U' L l'

=== 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'
* y2 L2 R' z r U L' d' R' U R' 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
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

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

OLL

2009-06-07T02:07:02Z

Rcnrcn927: /* OLL 7 */

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

Parentheses 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 pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top 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]]

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U 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' F R' F' R U R U' R'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* 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'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

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

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

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

|}

==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'
* R U2 R2 F R F' U2 M' U R U' r'

=== 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
* r' R U R U R' U' r R2' F R F'

=== 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'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

=="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
* y2 (L' U' L U') (L' U L U) (L F' L' F)
||

=== 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'
* y' r U2 R' U' R U R' U' R U' 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
* y2 F R U R' U' R' F' r U R U' 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'
* R U R'2 U' R' F R U R U' F

|}

=="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'
*R' F R U R' F R U' R' F' R U M' U' M
*L F' L' U' L F' L' U L F L' U' M' U M
*(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'

=== 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')
* L' U2 L U2 L F' L' F

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

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

||

=== 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'
* y' r R2 U' R U' R' U2 R U' R 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

* y' R' U' R U R B' R2 U' R U B
||

=== 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'
* r U' r' U' r U r' y' R' U R

=== 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
* y2 B' U' 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'
* M U (R U R' U') (R' F R F') M'

=== 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'
* y2 R2 L z' l' U' R d L U' L l'

=== 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'
* y2 L2 R' z r U L' d' R' U R' 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
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

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