Speedsolving.com Wiki - User contributions [en]

One-Handed Solving

2011-12-19T22:21:07Z

Hershey:

'''One-Handed solving''' ('''OH''' for short) is a type of [[speedcubing]] requiring one to solve a puzzle with one hand; you cannot touch the cube with your body or anything other than the [[Table abuse | table]]. Competitions averages as low as [http://www.worldcubeassociation.org/results/regions.php?regionId=&eventId=333oh&years=&mixed=Mixed 13.57 seconds] have been achieved on the [[3x3x3]], with winning times being around 20–21 seconds at a typical competition.

This page is a guide for starting in and training one-handed solving. For a history, see [[history of one-handed solving]].

==Which Hand to Use?==

While it may appear most obvious to use the dominant hand, both hands work as well for one-handed solving; in fact, the non-dominant left hand is more often used by right-handed cubers, who find R and U moves easier with the left hand. It is also helpful to do OH with a hand that is already used to holding the cube. Either hand, and dominant or dominant, can be very fast. Use whichever feels comfortable.

==Grip and Turning==

Most one-handed cubers hold the cube with the thumb and middle finger (and often the ring finger as well) and turn with the remaining fingers. Since one goal of one-handed cubing is to use as many R and U turns (or L and U) as possible as they are much faster and more comfortable, the focus is on how to do these turns easily. There are two main schools of thought on how to accomplish this:
* One way, used by [[Ryan Patricio]], involves the index and ring fingers: the index does U by pushing LUB, U' by pushing BUL, and R' by pushing BUR, and the ring finger does R by pushing BDR. The ring finger is also free to do D and D' moves, so this method can be useful for cubers who use many < L,U,R > or < U,R,D > algorithms.
* The second, used by the top Japanese OH cubers as well as [[Brian Loftus]], involves using only the index and the pinky. The cube is held with the other three fingers; the index does U by pushing FUL and U' by pushing BUL, and the pinky does R by pushing BRD and R' by pushing FRD. Although this method is faster for sequences of only U and R turns, no other turns are possible without rotating the cube or changing the grip, so this method can require more cube rotations. It is however possible to do u and r turns with a slight grip change.
* For M-slice turns you can use the table (this is casually known as [[Table abuse]]) to help you do it using your ring finger, or even your pinky or middle.

==Training the OH Hand==

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

==OH Finger Stretches Before Averages==

You can try to stretch your wrist to keep your fingers from getting relaxed. When your fingers are relaxed, they tend to move slowly, and therefore, a slower solve. But there are stretches you can do on the OH hand. You can try pulling ln your thumb, cracking your knuckles, the possibilities are endless. Try and invent your own to improve your hands.

=="One-Handed Amnesia"==

Many beginning OH solvers find that when they often forget algorithms while solving one-handed, even ones they know very well two-handed, a phenomenon called ''one-handed amnesia.'' This may be because sometimes people learn algorithms using muscle memory, and thus are unable to perform them slowly or one turn at a time. If you want to start OH solving, be prepared to have to relearn some of the algorithms that you thought you knew.
@see [http://www.speedsolving.com/forum/showthread.php?t=14911 speedsolving.com alg Amnesia thread]

== See Also ==
* [[:Category:Notable OH Cubers]]

== External Links ==
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=15523 Beginners one handed tips and pointers thread]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=20561 Robert's OH algorithm discoveries]
* [http://pagesperso-orange.fr/absolutemind/oll1h-angl.html Absolute OLL OH] by Sébastien FELIX
* [http://pagesperso-orange.fr/absolutemind/pll1h-angl.html Absolute PLL OH] by Sébastien FELIX
* [http://www.loftycuber.110mb.com/oll.html Lofty's Guide to One Hand Cubing OLL] by Brian Loftus
* [http://www.loftycuber.110mb.com/pll.html Lofty's Guide to One Hand Cubing PLL] by Brian Loftus
* [http://www.youtube.com/user/LoftyCuber Videos by Brian Loftus]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?14365-Statistical-question-Hand-used-in-OH/page4 Statistical question: Hand used in OH?]
* [http://www.youtube.com/user/CUTEXcuber Videos by CUTEX]
* [http://web.archive.org/web/20080822185656/www.cubingtechniques.com/cubing/techniques/tomy/ Tomy's algorithms] (Takumi Yoshida)
* [http://www.youtube.com/user/Tomy1619 Tomy's videos]
* [http://www.youtube.com/user/Raiden198935 Videos by Raiden]

[[Category:Solving Variants]]

Fastest Videos for each Method

2011-11-04T23:00:58Z

Hershey:

This page contains the fastest videos for each of the main [[3x3x3]] [[speedcubing | speedsolving]] methods.

'''[[Fridrich]]'''

Single (5.66): http://www.youtube.com/watch?v=3v_Km6cv6DU&feature=player_embedded

Average of 5 (6.74): http://www.youtube.com/watch?v=OF99TBNChyE

'''[[Roux]]'''

Single (6.64): http://www.youtube.com/watch?v=K0ftHP6KZ94&feature=channel_video_title

Average of 5 (9.39): http://www.youtube.com/watch?v=BGdxjKsJM9A&feature=player_embedded

'''[[ZZ]]'''

Single (8.13): http://www.youtube.com/watch?v=3CfCVILlEJU

Average of 12 (11.90): http://www.youtube.com/watch?v=5ittSSoLz7c

'''[[Petrus]]'''

Single:

Average of 5 (12.86): http://www.youtube.com/watch?v=Hu1eXSXHg2E

Average of 12 (13.45): http://www.youtube.com/watch?v=YahvDdYrUB

'''[[Waterman]]'''

Single:

'''[[Tripod]]'''

Single:

'''[[Hahn]]'''

Single:

'''[[Heise]]'''

Single:

'''[[Snyder]]'''

Single:

Fastest Videos for each Method

2011-10-07T03:22:22Z

Hershey:

This page contains the fastest videos for each of the main [[3x3x3]] [[speedcubing | speedsolving]] methods.

'''[[Fridrich]]'''

Single (5.36): http://www.youtube.com/watch?v=3v_Km6cv6DU&feature=player_embedded

Average of 5 (6.74): http://www.youtube.com/watch?v=OF99TBNChyE

'''[[Roux]]'''

Single (6.64): http://www.youtube.com/watch?v=K0ftHP6KZ94&feature=channel_video_title

Average of 5 (9.51): http://www.youtube.com/watch?v=m8Cj2wgY2CE

'''[[ZZ]]'''

Single (8.13): http://www.youtube.com/watch?v=3CfCVILlEJU

Average of 12 (11.90): http://www.youtube.com/watch?v=5ittSSoLz7c

'''[[Petrus]]'''

Single:

Average of 5 (12.86): http://www.youtube.com/watch?v=Hu1eXSXHg2E

Average of 12 (13.45): http://www.youtube.com/watch?v=YahvDdYrUB

'''[[Waterman]]'''

Single:

'''[[Tripod]]'''

Single:

'''[[Hahn]]'''

Single:

'''[[Heise]]'''

Single:

'''[[Snyder]]'''

Single:

PLL

2011-05-20T20:51:10Z

Hershey: /* G Permutation : a */

{{Method Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=21
|moves=12.3 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''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}}
== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

== External Links ==

* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html PLL Patterns and Algs] (Recognize PLLs by patterns. Printable and customizable Excel sheet by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]

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

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|text=
}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x') 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) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2 (x') U|PLL}}
{{Alg|(y z) R U R' U' R U2 (z' y') R U R' U' (y x) L' U' L U L2 (x')|PLL}}
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x') U|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) (x')|PLL}}
{{Alg|(y) F (x) R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (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' (x')|PLL}}
{{Alg|(y) M2 U M2 (y') (R U R' U' R' F R2 U' R' U' R U R' F') (y) M2 U' M2|PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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 U2|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{Alg|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u R' U R U' R u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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' U' R U' R U R' U R2 D' U R U' R' D|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' U2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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|U2 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 U2|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y') L' R' U2 L R U2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U R U' R' U L' U' R|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|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' l2|PLL}}
{{Alg|U' L' U R' (z) R2 U R' U' R2 U D (z')|PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|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|R U' L' U R' U2 L U' L' U2' L|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|R' L' d2 R U R' d2 R U' L U|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2 U'|PLL}}
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2' U'|PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 R L U'|PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U|PLL}}
{{Alg|R' U2' R U R' z R2 U R' D R U'|PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|PLL}}
{{Alg|(y') L U' R U2 L' U L U2 (R' L') U|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|(y2) R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|PLL}}
{{Alg|(y2) r2 U' L' U r' U2 R B' R' U2 (x')|PLL}}
{{Alg|(y2) F2 R U R' F2 L D' L D L2|PLL}}
{{Alg|(y2) F2 R U R' b2 R U' R U l2'|PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|text=
}}
{{Alg|(z) D R' U R2 D' R (U' D) R' U R2 D' R U' R' (z')|PLL}}
{{Alg|(z) U R' D R2 U' R (D' U) R' D R2 U' R D' R' (z')|PLL}}
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' (y2)|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|PLL}}
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|PLL}}
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|PLL}}
{{Alg|(y z) R' U R' D R2 U' R (U D') R' D R2 U' R D' (z')|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|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|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x' y)|PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|text=
}}
{{Alg|(z) U' R D' R2' U R' (U' D) R D' R2 U R' D R (z')|PLL}}
{{Alg|(z) U' R D' R2 U R' U' (z') R U R' (z) R2 U R' (z') R U|PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 R (z')|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L U|PLL}}
{{Alg|L' U R' U2' L U' (R L') U R' U2' L U' R U|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F (x)|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 R (z')|PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R' U'|PLL}}
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R' U2|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|(y') R U' R' U' R U R D R' U' R D' R' U2 R' U'|PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R' U'|PLL}}
{{Alg|(y2) U' L2 F' L' U' L' U L F L' U2 L U2 L'|PLL}}
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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' (x z')|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 U|PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L U|PLL}}
{{Alg|U R2 F R U R U' R' F' R U2 R' U2 R|PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=[[PLL]], [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|(y2) B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2 U|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|PLL}}
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2 U|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 R (z')|PLL}}
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|PLL}}
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|PLL}}
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|PLL}}
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL}}
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' z'|PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL}}
{{Alg|(y') 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|F R' F' R U R U' R2 U' R U l U' R' U F (x)|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|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|PLL}}
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|PLL}}
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|PLL}}
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|PLL}}
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|PLL}}

 {{PLL}}

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

__NOTOC__

PLL

2011-05-20T20:46:37Z

Hershey: /* G Permutation : a */

{{Method Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=21
|moves=12.3 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''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}}
== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

== External Links ==

* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html PLL Patterns and Algs] (Recognize PLLs by patterns. Printable and customizable Excel sheet by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]

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

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|text=
}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x') 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) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2 (x') U|PLL}}
{{Alg|(y z) R U R' U' R U2 (z' y') R U R' U' (y x) L' U' L U L2 (x')|PLL}}
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x') U|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) (x')|PLL}}
{{Alg|(y) F (x) R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (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' (x')|PLL}}
{{Alg|(y) M2 U M2 (y') (R U R' U' R' F R2 U' R' U' R U R' F') (y) M2 U' M2|PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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 U2|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}
{{Alg|U D' R2 U R' U R' U' R U' R'2 D U' R' U R |PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{Alg|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u R' U R U' R u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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' U' R U' R U R' U R2 D' U R U' R' D|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' U2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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|U2 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 U2|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y') L' R' U2 L R U2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U R U' R' U L' U' R|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|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' l2|PLL}}
{{Alg|U' L' U R' (z) R2 U R' U' R2 U D (z')|PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|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|R U' L' U R' U2 L U' L' U2' L|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|R' L' d2 R U R' d2 R U' L U|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2 U'|PLL}}
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2' U'|PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 R L U'|PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U|PLL}}
{{Alg|R' U2' R U R' z R2 U R' D R U'|PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|PLL}}
{{Alg|(y') L U' R U2 L' U L U2 (R' L') U|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|(y2) R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|PLL}}
{{Alg|(y2) r2 U' L' U r' U2 R B' R' U2 (x')|PLL}}
{{Alg|(y2) F2 R U R' F2 L D' L D L2|PLL}}
{{Alg|(y2) F2 R U R' b2 R U' R U l2'|PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|text=
}}
{{Alg|(z) D R' U R2 D' R (U' D) R' U R2 D' R U' R' (z')|PLL}}
{{Alg|(z) U R' D R2 U' R (D' U) R' D R2 U' R D' R' (z')|PLL}}
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' (y2)|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|PLL}}
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|PLL}}
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|PLL}}
{{Alg|(y z) R' U R' D R2 U' R (U D') R' D R2 U' R D' (z')|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|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|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x' y)|PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|text=
}}
{{Alg|(z) U' R D' R2' U R' (U' D) R D' R2 U R' D R (z')|PLL}}
{{Alg|(z) U' R D' R2 U R' U' (z') R U R' (z) R2 U R' (z') R U|PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 R (z')|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L U|PLL}}
{{Alg|L' U R' U2' L U' (R L') U R' U2' L U' R U|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F (x)|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 R (z')|PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R' U'|PLL}}
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R' U2|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|(y') R U' R' U' R U R D R' U' R D' R' U2 R' U'|PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R' U'|PLL}}
{{Alg|(y2) U' L2 F' L' U' L' U L F L' U2 L U2 L'|PLL}}
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{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' (x z')|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 U|PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L U|PLL}}
{{Alg|U R2 F R U R U' R' F' R U2 R' U2 R|PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=[[PLL]], [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|(y2) B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2 U|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|PLL}}
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2 U|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 R (z')|PLL}}
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|PLL}}
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=[[PLL]], [[ZBLL]]
|optimal=
|text=
}}
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|PLL}}
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|PLL}}
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL}}
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' z'|PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL}}
{{Alg|(y') 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|F R' F' R U R U' R2 U' R U l U' R' U F (x)|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|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|PLL}}
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|PLL}}
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|PLL}}
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|PLL}}
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|PLL}}

 {{PLL}}

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

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