https://www.speedsolving.com/wiki/api.php?action=feedcontributions&user=Kephasp&feedformat=atomSpeedsolving.com Wiki - User contributions [en]2024-03-28T15:16:54ZUser contributionsMediaWiki 1.34.0https://www.speedsolving.com/wiki/index.php?title=PLL&diff=41816PLL2020-03-24T05:47:11Z<p>Kephasp: /* F Permutation */</p>
<hr />
<div><seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." /><br />
{{Substep Infobox<br />
|name=PLL<br />
|image=PLLinfo.jpg<br />
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]<br />
|year=<br />
|anames=<br />
|variants=<br />
|subgroup=<nowiki></nowiki><br />
|algs=21<br />
|moves=11.8 [[HTM]]<br />
|purpose=<sup></sup><br />
* [[Speedsolving]]<br />
|previous=[[OLL cube state]]<br />
|next=[[Solved cube state]]<br />
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br />
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]<br />
<br />
}}<br />
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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]].<br />
<br />
<br />
{{PLL}}<br />
== See also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
* [[2-Sided PLL Recognition]]<br />
<br />
== External links ==<br />
<br />
* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]<br />
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)<br />
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]<br />
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version<br />
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]<br />
*[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs]<br />
<br />
=PLL algorithms=<br />
{{Algnote}}<br />
==Permutations of Edges Only==<br />
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
{{H-PLL}}<br />
{{U-PLL(a)}}<br />
{{U-PLL(b)}}<br />
{{Z-PLL}}<br />
<br />
==Permutations of Corners Only==<br />
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]].<br />
<br />
{{A-PLL(a)}}<br />
{{A-PLL(b)}}<br />
{{E-PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
{{case<br />
|image=f.gif<br />
|name=F-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2 U'|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}<br />
<br />
===G Permutation : a===<br />
{{case<br />
|image=g3.gif<br />
|name=G-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}<br />
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}<br />
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}<br />
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}<br />
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}<br />
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}<br />
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}<br />
<br />
===G Permutation : b===<br />
{{case<br />
|image=g2.gif<br />
|name=G-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}<br />
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}<br />
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}<br />
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}<br />
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}<br />
<br />
===G Permutation : c===<br />
{{case<br />
|image=g1.gif<br />
|name=G-PLL c<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U' R U' R U R' U R2 D' U R U' R' D|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}<br />
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}<br />
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}<br />
<br />
===G Permutation : d===<br />
{{case<br />
|image=g.gif<br />
|name=G-PLL d<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}}<br />
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}<br />
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}<br />
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}<br />
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}<br />
<br />
===J Permutation : a===<br />
{{case<br />
|image=j1.gif<br />
|name=J-PLL a, L-perm<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}<br />
<br />
===J Permutation : b===<br />
{{case<br />
|image=j.gif<br />
|name=J-PLL b<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}<br />
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}<br />
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : a===<br />
{{case<br />
|image=n1.gif<br />
|name=N-PLL a<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(L U' R U2 L' U R')2 U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : b===<br />
{{case<br />
|image=n.gif<br />
|name=N-PLL b<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : a===<br />
{{case<br />
|image=r1.gif<br />
|name=R-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg| R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : b===<br />
{{case<br />
|image=r.gif<br />
|name=R-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L' U' L F L' U2 L U2 L F' L' U' L' U2 L U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U2 L U L F L' U2 L' U2 L F' L' U L U'|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===T Permutation===<br />
{{case<br />
|image=t.gif<br />
|name=T-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]<br />
|optimal=11 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===V Permutation===<br />
{{case<br />
|image=V.gif<br />
|name=V-PLL<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===Y Permutation===<br />
{{case<br />
|image=Y.gif<br />
|name=Y-PLL<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=13 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}<br />
{{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}}<br />
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
{{PLL}}<br />
<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Acronyms]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Kephasphttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=41815PLL2020-03-24T03:36:57Z<p>Kephasp: /* N Permutation : a */</p>
<hr />
<div><seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." /><br />
{{Substep Infobox<br />
|name=PLL<br />
|image=PLLinfo.jpg<br />
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]<br />
|year=<br />
|anames=<br />
|variants=<br />
|subgroup=<nowiki></nowiki><br />
|algs=21<br />
|moves=11.8 [[HTM]]<br />
|purpose=<sup></sup><br />
* [[Speedsolving]]<br />
|previous=[[OLL cube state]]<br />
|next=[[Solved cube state]]<br />
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br />
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]<br />
<br />
}}<br />
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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]].<br />
<br />
<br />
{{PLL}}<br />
== See also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
* [[2-Sided PLL Recognition]]<br />
<br />
== External links ==<br />
<br />
* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]<br />
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)<br />
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]<br />
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version<br />
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]<br />
*[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs]<br />
<br />
=PLL algorithms=<br />
{{Algnote}}<br />
==Permutations of Edges Only==<br />
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
{{H-PLL}}<br />
{{U-PLL(a)}}<br />
{{U-PLL(b)}}<br />
{{Z-PLL}}<br />
<br />
==Permutations of Corners Only==<br />
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]].<br />
<br />
{{A-PLL(a)}}<br />
{{A-PLL(b)}}<br />
{{E-PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
{{case<br />
|image=f.gif<br />
|name=F-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}<br />
<br />
===G Permutation : a===<br />
{{case<br />
|image=g3.gif<br />
|name=G-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}<br />
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}<br />
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}<br />
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}<br />
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}<br />
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}<br />
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}<br />
<br />
===G Permutation : b===<br />
{{case<br />
|image=g2.gif<br />
|name=G-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}<br />
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}<br />
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}<br />
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}<br />
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}<br />
<br />
===G Permutation : c===<br />
{{case<br />
|image=g1.gif<br />
|name=G-PLL c<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U' R U' R U R' U R2 D' U R U' R' D|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}<br />
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}<br />
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}<br />
<br />
===G Permutation : d===<br />
{{case<br />
|image=g.gif<br />
|name=G-PLL d<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}}<br />
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}<br />
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}<br />
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}<br />
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}<br />
<br />
===J Permutation : a===<br />
{{case<br />
|image=j1.gif<br />
|name=J-PLL a, L-perm<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}<br />
<br />
===J Permutation : b===<br />
{{case<br />
|image=j.gif<br />
|name=J-PLL b<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}<br />
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}<br />
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : a===<br />
{{case<br />
|image=n1.gif<br />
|name=N-PLL a<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(L U' R U2 L' U R')2 U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : b===<br />
{{case<br />
|image=n.gif<br />
|name=N-PLL b<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : a===<br />
{{case<br />
|image=r1.gif<br />
|name=R-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg| R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : b===<br />
{{case<br />
|image=r.gif<br />
|name=R-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L' U' L F L' U2 L U2 L F' L' U' L' U2 L U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U2 L U L F L' U2 L' U2 L F' L' U L U'|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===T Permutation===<br />
{{case<br />
|image=t.gif<br />
|name=T-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]<br />
|optimal=11 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===V Permutation===<br />
{{case<br />
|image=V.gif<br />
|name=V-PLL<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===Y Permutation===<br />
{{case<br />
|image=Y.gif<br />
|name=Y-PLL<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=13 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}<br />
{{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}}<br />
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
{{PLL}}<br />
<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Acronyms]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Kephasphttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=39588PLL2019-03-25T00:44:47Z<p>Kephasp: /* N Permutation : a */</p>
<hr />
<div><seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." /><br />
{{Substep Infobox<br />
|name=PLL<br />
|image=PLLinfo.jpg<br />
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]<br />
|year=<br />
|anames=<br />
|variants=<br />
|subgroup=<nowiki></nowiki><br />
|algs=21<br />
|moves=11.8 [[HTM]]<br />
|purpose=<sup></sup><br />
* [[Speedsolving]]<br />
|previous=[[OLL cube state]]<br />
|next=[[Solved cube state]]<br />
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br />
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]<br />
<br />
}}<br />
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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]].<br />
<br />
<br />
{{PLL}}<br />
== See also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
* [[2-Sided PLL Recognition]]<br />
<br />
== External links ==<br />
<br />
* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]<br />
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)<br />
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]<br />
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version<br />
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]<br />
<br />
=PLL algorithms=<br />
{{Algnote}}<br />
==Permutations of Edges Only==<br />
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
{{H-PLL}}<br />
{{U-PLL(a)}}<br />
{{U-PLL(b)}}<br />
{{Z-PLL}}<br />
<br />
==Permutations of Corners Only==<br />
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]].<br />
<br />
{{A-PLL(a)}}<br />
{{A-PLL(b)}}<br />
{{E-PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
{{case<br />
|image=f.gif<br />
|name=F-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}<br />
<br />
===G Permutation : a===<br />
{{case<br />
|image=g3.gif<br />
|name=G-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}<br />
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}<br />
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}<br />
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}<br />
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}<br />
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}<br />
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}<br />
<br />
===G Permutation : b===<br />
{{case<br />
|image=g2.gif<br />
|name=G-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}<br />
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}<br />
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}<br />
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}<br />
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}<br />
<br />
===G Permutation : c===<br />
{{case<br />
|image=g1.gif<br />
|name=G-PLL c<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}<br />
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}<br />
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}<br />
<br />
===G Permutation : d===<br />
{{case<br />
|image=g.gif<br />
|name=G-PLL d<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}<br />
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}<br />
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}<br />
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}<br />
<br />
===J Permutation : a===<br />
{{case<br />
|image=j1.gif<br />
|name=J-PLL a, L-perm<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}<br />
<br />
===J Permutation : b===<br />
{{case<br />
|image=j.gif<br />
|name=J-PLL b<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}<br />
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}<br />
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : a===<br />
{{case<br />
|image=n1.gif<br />
|name=N-PLL a<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : b===<br />
{{case<br />
|image=n.gif<br />
|name=N-PLL b<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : a===<br />
{{case<br />
|image=r1.gif<br />
|name=R-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : b===<br />
{{case<br />
|image=r.gif<br />
|name=R-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===T Permutation===<br />
{{case<br />
|image=t.gif<br />
|name=T-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===V Permutation===<br />
{{case<br />
|image=V.gif<br />
|name=V-PLL<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===Y Permutation===<br />
{{case<br />
|image=Y.gif<br />
|name=Y-PLL<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=13 [[HTM]]<br />
|text=<br />
}}<br />
{{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}}<br />
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
{{PLL}}<br />
<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Acronyms]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Kephasphttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=39587PLL2019-03-25T00:41:50Z<p>Kephasp: /* N Permutation : a */</p>
<hr />
<div><seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." /><br />
{{Substep Infobox<br />
|name=PLL<br />
|image=PLLinfo.jpg<br />
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]<br />
|year=<br />
|anames=<br />
|variants=<br />
|subgroup=<nowiki></nowiki><br />
|algs=21<br />
|moves=11.8 [[HTM]]<br />
|purpose=<sup></sup><br />
* [[Speedsolving]]<br />
|previous=[[OLL cube state]]<br />
|next=[[Solved cube state]]<br />
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br />
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]<br />
<br />
}}<br />
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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]].<br />
<br />
<br />
{{PLL}}<br />
== See also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
* [[2-Sided PLL Recognition]]<br />
<br />
== External links ==<br />
<br />
* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]<br />
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)<br />
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]<br />
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version<br />
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]<br />
<br />
=PLL algorithms=<br />
{{Algnote}}<br />
==Permutations of Edges Only==<br />
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
{{H-PLL}}<br />
{{U-PLL(a)}}<br />
{{U-PLL(b)}}<br />
{{Z-PLL}}<br />
<br />
==Permutations of Corners Only==<br />
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]].<br />
<br />
{{A-PLL(a)}}<br />
{{A-PLL(b)}}<br />
{{E-PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
{{case<br />
|image=f.gif<br />
|name=F-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}<br />
<br />
===G Permutation : a===<br />
{{case<br />
|image=g3.gif<br />
|name=G-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}<br />
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}<br />
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}<br />
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}<br />
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}<br />
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}<br />
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}<br />
<br />
===G Permutation : b===<br />
{{case<br />
|image=g2.gif<br />
|name=G-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}<br />
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}<br />
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}<br />
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}<br />
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}<br />
<br />
===G Permutation : c===<br />
{{case<br />
|image=g1.gif<br />
|name=G-PLL c<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}<br />
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}<br />
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}<br />
<br />
===G Permutation : d===<br />
{{case<br />
|image=g.gif<br />
|name=G-PLL d<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}<br />
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}<br />
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}<br />
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}<br />
<br />
===J Permutation : a===<br />
{{case<br />
|image=j1.gif<br />
|name=J-PLL a, L-perm<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}<br />
<br />
===J Permutation : b===<br />
{{case<br />
|image=j.gif<br />
|name=J-PLL b<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}<br />
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}<br />
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : a===<br />
{{case<br />
|image=n1.gif<br />
|name=N-PLL a<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(L U' R U2 L' U R')2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : b===<br />
{{case<br />
|image=n.gif<br />
|name=N-PLL b<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : a===<br />
{{case<br />
|image=r1.gif<br />
|name=R-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : b===<br />
{{case<br />
|image=r.gif<br />
|name=R-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===T Permutation===<br />
{{case<br />
|image=t.gif<br />
|name=T-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===V Permutation===<br />
{{case<br />
|image=V.gif<br />
|name=V-PLL<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===Y Permutation===<br />
{{case<br />
|image=Y.gif<br />
|name=Y-PLL<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=13 [[HTM]]<br />
|text=<br />
}}<br />
{{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}}<br />
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
{{PLL}}<br />
<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Acronyms]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Kephasphttps://www.speedsolving.com/wiki/index.php?title=Talk:PLL&diff=39304Talk:PLL2019-02-14T13:03:34Z<p>Kephasp: /* J Perm */</p>
<hr />
<div>Just learned the N(a) and N(b) perms and they were written as L U' R U2 L' U R' L U' R U2 L' U R' U' and R' U L' U2 R U' L R' U L' U2 R U' L U respectively. I noticed that they were actually two repetitions of a shorter algorithm so I changed it so other cubers will have an easier time learning those perms. I turned N(a) into (L U' R U2 L' U R')2 U' and N(b) into (R' U L' U2 R U' L)2 U.<br />
<br />
~ Eleredo<br />
<br />
----<br />
<br />
Quick question: Is a Ja Perm same as a L perm and if it is, maybe a alternate name block on that PLL? [[User:MaeLSTRoM|MaeLSTRoM]] 17:40, 14 January 2011 (EST)<br />
<br />
==Templates==<br />
I'm thinking it might be good to have each case in a template, aspecially the PLLs, then you can put the cases at other pages too but still all algs added will go to the same place, no matter if it is edited on page x or y.<br />
<br />
But I'm not sure it is doable, have to test it a little...<br />
<br />
// [[User:Kenneth|Kenneth]] 09:36, 25 August 2010 (UTC)<br />
<br />
It works, but after edit you will be at the template page and not at the page you started from, a smaller problem I think...<br />
<br />
I think I got it, a little menu in top of the pic that have links to the pages the template is used on =)<br />
<br />
{{H-PLL}}<br />
<br />
=Old talk=<br />
It is possible to remove the huge table of contents and make links to the sections in a nice table instead, it looks much better.<br />
<br />
Open the editor and look at the next line after this, it removes the table, the next line removes the section edit tabs if one likes that (removed it again becuse it took away the tabs from this page)<br />
<br />
__NOTOC__<br />
<br />
// [[User:Kenneth|Kenneth]] 21:14, 30 August 2008 (UTC)<br />
<br />
I made an example image that shows how LL cases can be displayed, this is right side J-PLL<br />
<br />
[[image:R J PLL.gif]]<br />
<br />
Looking good? I think it does, maybe a little higher side pices and roundes stickers would be nice.<br />
<br />
If anyone can make nicer looking images than mine then things is good (I used pain(t) and that is not a good tool)<br />
<br />
// [[User:Kenneth|Kenneth]] 05:18, 31 August 2008 (UTC)<br />
<br />
EDIT: I skiped that image idéa if someone wonders what happend =) // [[User:Kenneth|Kenneth]] 14:41, 1 October 2008 (UTC)<br />
<br />
=== Table of contents ===<br />
<br />
Here is a example of how to solve the problem with that disturbing TOC<br />
<br />
Edit:<br />
Remade it, tiny:<br />
<br />
{{PLL}}<br />
<br />
Bah! I put it on the page and remove the TOC :)<br />
<br />
// [[User:Kenneth|Kenneth]] 08:38, 1 September 2008 (UTC)<br />
<br />
<br />
<br />
I think we should color code (if possible) the algorithms that are most commonly used for OH. Or maybe put them in a seperate section if possible. What do you guys think? <br />
<br />
[[User:Rubik&#39;s Cube Fan|Rubik&#39;s Cube Fan]] 18:44, 30 September 2008 (UTC)<br />
<br />
: In that case I think it is better to make sub pages under BLD for recommnded OLL's and PLL'. It is pretty easy to colour code but it makes the wiki code messy with all those "font" tags and colour codes. I make an example here, click edit to see how it looks:<br />
<br />
* <font color="#008060">R U R' U R U2 R'</font><br />
<br />
// [[User:Kenneth|Kenneth]] 14:41, 1 October 2008 (UTC)<br />
<br />
== Aa Perm ==<br />
<br />
[http://alg.cubing.net/?stage=PLL&type=alg&view=playback&alg=%28y-%29_r_U_r-_U-_r-_F_r2_U-_r-_U-_r_U_r-_F- (y') r U r' U' r' F r2 U' r' U' r U r' F'] doesn't seem to be an A perm. The scrambled view on alg.cubing doesn't look like one... [[User:Randomno|Randomno]] ([[User talk:Randomno|talk]]) 23:06, 12 September 2014 (UTC)<br />
<br />
* it is an A-perm, the top layer is just rotated a quarter turn. You can tell that it is an a-perm because it containes a 1x2x2 block surrounded by 2 stickers of the same color. [[User:Zombiedude347|Zombiedude347]] ([[User talk:Zombiedude347|talk]]) 04:19, 2 October 2015 (UTC)<br />
<br />
== Mobile viewing issues ==<br />
<br />
On mobile, the images for each case show as quite small. The tables needs to be divided up a bit. Also the case for the OLL page. Please assist with makes these changes and test on mobile to ensure it looks okay. Thanks.<br />
--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 09:03, 12 September 2018 (UTC)<br />
<br />
I've fixed the mobile issues. Now we need to update the algs with a list of good algs. We don't want to have a bunch of bad algs on here, there is no point. Lets modify these algs to ensure only good algs are listed.<br />
--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 04:02, 20 September 2018 (UTC)<br />
<br />
Mobile issues have been fixed, what can we do to make this page more useful/easy to use?--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 06:56, 6 December 2018 (UTC)<br />
<br />
= J Perm =<br />
As J perm a is [https://alg.cubing.net/?stage=PLL&type=alg&view=playback&alg=y2_L_U-_R-_U_L-_U2_R_U-_R-_U2_R y2 L U' R' U L' U2 R U' R' U2 R], why isn't there [https://alg.cubing.net/?stage=PLL&type=alg&view=playback&alg=y2_R-_U_L_U-_R_U2_L-_U_L_U2_L- y2 R' U L U' R U2 L' U L U2 L'] among the algorithms for J perm b?<br />
: Please feel free to edit it as you see issues.--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 01:57, 13 February 2019 (UTC)<br />
:: I added it, but don't know how to number it. — [[User:Kephasp|Kephasp]] ([[User talk:Kephasp|talk]]) 13:03, 14 February 2019 (UTC)</div>Kephasphttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=39303PLL2019-02-14T12:40:09Z<p>Kephasp: Add mirror of J perm a</p>
<hr />
<div><seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." /><br />
{{Substep Infobox<br />
|name=PLL<br />
|image=PLLinfo.jpg<br />
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]<br />
|year=<br />
|anames=<br />
|variants=<br />
|subgroup=<nowiki></nowiki><br />
|algs=21<br />
|moves=11.8 [[HTM]]<br />
|purpose=<sup></sup><br />
* [[Speedsolving]]<br />
|previous=[[OLL cube state]]<br />
|next=[[Solved cube state]]<br />
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br />
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]<br />
<br />
}}<br />
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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]].<br />
<br />
<br />
{{PLL}}<br />
== See also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
* [[2-Sided PLL Recognition]]<br />
<br />
== External links ==<br />
<br />
* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]<br />
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)<br />
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]<br />
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version<br />
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]<br />
<br />
=PLL algorithms=<br />
{{Algnote}}<br />
==Permutations of Edges Only==<br />
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
{{H-PLL}}<br />
{{U-PLL(a)}}<br />
{{U-PLL(b)}}<br />
{{Z-PLL}}<br />
<br />
==Permutations of Corners Only==<br />
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]].<br />
<br />
{{A-PLL(a)}}<br />
{{A-PLL(b)}}<br />
{{E-PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
{{case<br />
|image=f.gif<br />
|name=F-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}<br />
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}<br />
<br />
===G Permutation : a===<br />
{{case<br />
|image=g3.gif<br />
|name=G-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}<br />
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}<br />
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}<br />
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}<br />
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}<br />
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}<br />
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}<br />
<br />
===G Permutation : b===<br />
{{case<br />
|image=g2.gif<br />
|name=G-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}<br />
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}<br />
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}<br />
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}<br />
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}<br />
<br />
===G Permutation : c===<br />
{{case<br />
|image=g1.gif<br />
|name=G-PLL c<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}<br />
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}<br />
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}<br />
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}<br />
<br />
===G Permutation : d===<br />
{{case<br />
|image=g.gif<br />
|name=G-PLL d<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=12 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}<br />
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}<br />
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}<br />
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}<br />
<br />
===J Permutation : a===<br />
{{case<br />
|image=j1.gif<br />
|name=J-PLL a, L-perm<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}<br />
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}<br />
<br />
===J Permutation : b===<br />
{{case<br />
|image=j.gif<br />
|name=J-PLL b<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}<br />
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}<br />
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}<br />
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : a===<br />
{{case<br />
|image=n1.gif<br />
|name=N-PLL a<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}<br />
<br />
===N Permutation : b===<br />
{{case<br />
|image=n.gif<br />
|name=N-PLL b<br />
|methods=PLL, [[ZBLL]], [[ZZLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : a===<br />
{{case<br />
|image=r1.gif<br />
|name=R-PLL a<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===R Permutation : b===<br />
{{case<br />
|image=r.gif<br />
|name=R-PLL b<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===T Permutation===<br />
{{case<br />
|image=t.gif<br />
|name=T-PLL<br />
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]<br />
|optimal=10 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===V Permutation===<br />
{{case<br />
|image=V.gif<br />
|name=V-PLL<br />
|methods=PLL, [[ZBLL]]<br />
|optimal=14 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
===Y Permutation===<br />
{{case<br />
|image=Y.gif<br />
|name=Y-PLL<br />
|methods=PLL, [[ZBLL]], [[BLD]]<br />
|optimal=13 [[HTM]]<br />
|text=<br />
}}<br />
{{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}}<br />
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}<br />
<br />
{{PLL}}<br />
<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Acronyms]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Kephasphttps://www.speedsolving.com/wiki/index.php?title=Talk:PLL&diff=39288Talk:PLL2019-02-12T18:43:23Z<p>Kephasp: J perm b question</p>
<hr />
<div>Just learned the N(a) and N(b) perms and they were written as L U' R U2 L' U R' L U' R U2 L' U R' U' and R' U L' U2 R U' L R' U L' U2 R U' L U respectively. I noticed that they were actually two repetitions of a shorter algorithm so I changed it so other cubers will have an easier time learning those perms. I turned N(a) into (L U' R U2 L' U R')2 U' and N(b) into (R' U L' U2 R U' L)2 U.<br />
<br />
~ Eleredo<br />
<br />
----<br />
<br />
Quick question: Is a Ja Perm same as a L perm and if it is, maybe a alternate name block on that PLL? [[User:MaeLSTRoM|MaeLSTRoM]] 17:40, 14 January 2011 (EST)<br />
<br />
==Templates==<br />
I'm thinking it might be good to have each case in a template, aspecially the PLLs, then you can put the cases at other pages too but still all algs added will go to the same place, no matter if it is edited on page x or y.<br />
<br />
But I'm not sure it is doable, have to test it a little...<br />
<br />
// [[User:Kenneth|Kenneth]] 09:36, 25 August 2010 (UTC)<br />
<br />
It works, but after edit you will be at the template page and not at the page you started from, a smaller problem I think...<br />
<br />
I think I got it, a little menu in top of the pic that have links to the pages the template is used on =)<br />
<br />
{{H-PLL}}<br />
<br />
=Old talk=<br />
It is possible to remove the huge table of contents and make links to the sections in a nice table instead, it looks much better.<br />
<br />
Open the editor and look at the next line after this, it removes the table, the next line removes the section edit tabs if one likes that (removed it again becuse it took away the tabs from this page)<br />
<br />
__NOTOC__<br />
<br />
// [[User:Kenneth|Kenneth]] 21:14, 30 August 2008 (UTC)<br />
<br />
I made an example image that shows how LL cases can be displayed, this is right side J-PLL<br />
<br />
[[image:R J PLL.gif]]<br />
<br />
Looking good? I think it does, maybe a little higher side pices and roundes stickers would be nice.<br />
<br />
If anyone can make nicer looking images than mine then things is good (I used pain(t) and that is not a good tool)<br />
<br />
// [[User:Kenneth|Kenneth]] 05:18, 31 August 2008 (UTC)<br />
<br />
EDIT: I skiped that image idéa if someone wonders what happend =) // [[User:Kenneth|Kenneth]] 14:41, 1 October 2008 (UTC)<br />
<br />
=== Table of contents ===<br />
<br />
Here is a example of how to solve the problem with that disturbing TOC<br />
<br />
Edit:<br />
Remade it, tiny:<br />
<br />
{{PLL}}<br />
<br />
Bah! I put it on the page and remove the TOC :)<br />
<br />
// [[User:Kenneth|Kenneth]] 08:38, 1 September 2008 (UTC)<br />
<br />
<br />
<br />
I think we should color code (if possible) the algorithms that are most commonly used for OH. Or maybe put them in a seperate section if possible. What do you guys think? <br />
<br />
[[User:Rubik&#39;s Cube Fan|Rubik&#39;s Cube Fan]] 18:44, 30 September 2008 (UTC)<br />
<br />
: In that case I think it is better to make sub pages under BLD for recommnded OLL's and PLL'. It is pretty easy to colour code but it makes the wiki code messy with all those "font" tags and colour codes. I make an example here, click edit to see how it looks:<br />
<br />
* <font color="#008060">R U R' U R U2 R'</font><br />
<br />
// [[User:Kenneth|Kenneth]] 14:41, 1 October 2008 (UTC)<br />
<br />
== Aa Perm ==<br />
<br />
[http://alg.cubing.net/?stage=PLL&type=alg&view=playback&alg=%28y-%29_r_U_r-_U-_r-_F_r2_U-_r-_U-_r_U_r-_F- (y') r U r' U' r' F r2 U' r' U' r U r' F'] doesn't seem to be an A perm. The scrambled view on alg.cubing doesn't look like one... [[User:Randomno|Randomno]] ([[User talk:Randomno|talk]]) 23:06, 12 September 2014 (UTC)<br />
<br />
* it is an A-perm, the top layer is just rotated a quarter turn. You can tell that it is an a-perm because it containes a 1x2x2 block surrounded by 2 stickers of the same color. [[User:Zombiedude347|Zombiedude347]] ([[User talk:Zombiedude347|talk]]) 04:19, 2 October 2015 (UTC)<br />
<br />
== Mobile viewing issues ==<br />
<br />
On mobile, the images for each case show as quite small. The tables needs to be divided up a bit. Also the case for the OLL page. Please assist with makes these changes and test on mobile to ensure it looks okay. Thanks.<br />
--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 09:03, 12 September 2018 (UTC)<br />
<br />
I've fixed the mobile issues. Now we need to update the algs with a list of good algs. We don't want to have a bunch of bad algs on here, there is no point. Lets modify these algs to ensure only good algs are listed.<br />
--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 04:02, 20 September 2018 (UTC)<br />
<br />
Mobile issues have been fixed, what can we do to make this page more useful/easy to use?--[[User:PJK|PJK]] ([[User talk:PJK|talk]]) 06:56, 6 December 2018 (UTC)<br />
<br />
= J Perm =<br />
As J perm a is [https://alg.cubing.net/?stage=PLL&type=alg&view=playback&alg=y2_L_U-_R-_U_L-_U2_R_U-_R-_U2_R y2 L U' R' U L' U2 R U' R' U2 R], why isn't there [https://alg.cubing.net/?stage=PLL&type=alg&view=playback&alg=y2_R-_U_L_U-_R_U2_L-_U_L_U2_L- y2 R' U L U' R U2 L' U L U2 L'] among the algorithms for J perm b?</div>Kephasp