https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=Shelley 2026-10-22T01:50:13Z User contributions MediaWiki 1.43.8 https://www.speedsolving.com/wiki/index.php?title=Shelley_Chang&diff=13728 2011-02-10T23:51:43Z

<p>Shelley: </p> <hr /> <div>{{Infobox<br /> |NAME=Shelley Chang<br /> |IMAGE=ShelleyChang.jpg<br /> |IMAGEYEAR=!<br /> |ALIASES=<br /> |COUNTRY=USA<br /> |BIRTHDATE=January 27, 1985<br /> |AGE=25<br /> |JOBS=!<br /> |YEARSACTIVE=2004-present<br /> |ID=2004CHAN04<br /> |FAMOUSFOR=3x3 [[BLD]], [[Speedsolving Forums|SS]] moderator<br /> }}<br /> <br /> '''Shelley Chang''' is an American speedcuber and the first female to solve the 3x3 and 4x4 blindfolded in competition.<br /> <br /> == External Links ==<br /> * Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?6029-Interview-with-Shelley-Chang Interview with Shelley Chang]<br /> <br /> [[Category:Notable Speedcubers|Chang, Shelley]]<br /> [[Category:Notable Cubers|Chang, Shelley]]<br /> [[Category:People]]<br /> <br /> {{Stub}}</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=OLL&diff=8545 2010-06-15T04:13:06Z

<p>Shelley: /* OLL 55 */</p> <hr /> <div>__NOTOC__<br /> OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].<br /> <br /> Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].<br /> <br /> The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.<br /> <br /> The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.<br /> <br /> &lt;strong&gt;Click on an algorithm (not the camera icon) to watch an animation of it.&lt;/strong&gt;<br /> <br /> {{OLL}}<br /> <br /> ==All edges flipped correctly==<br /> This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].<br /> <br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> === OLL 27 ===<br /> [[Image:o27.gif]]<br /> <br /> {{Alg|R U R' U R U2 R'|OLL}}<br /> {{Alg|R U R' U R U R' R U R'|OLL}}<br /> {{Alg|y' R' U2 R U R' U R|OLL}}<br /> {{Alg|y L' U2 L U L' U L|OLL}}<br /> {{Alg|y2 L U L' U L U2 L'|OLL}}<br /> {{Alg|R U' L' U R' U' L|OLL}}<br /> {{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}<br /> <br /> |<br /> === OLL 26 ===<br /> [[Image:o26.gif]]<br /> <br /> {{Alg|y2 R' U' R U' R' U2 R|OLL}}<br /> {{Alg|y' R U2 R' U' R U' R'|OLL}}<br /> {{Alg|y' L U2 L' U' L U' L'|OLL}}<br /> {{Alg|L' U' L U' L' U2 L|OLL}}<br /> {{Alg|L' U R U' L U R'|OLL}}<br /> {{Alg|y' L' U R U' L U R'|OLL}}<br /> {{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}<br /> |-valign=&quot;top&quot;<br /> |<br /> === OLL 21 ===<br /> [[Image:o21.gif]]<br /> <br /> {{Alg|R U R' U R U' R' U R U2 R'|OLL}}<br /> {{Alg|y R U2 R' U' R U R' U' R U' R'|OLL}}<br /> {{Alg|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}<br /> {{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}<br /> {{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}<br /> {{Alg|L U L' U L U' L' U L U2 L'|OLL}}<br /> {{Alg|y L' U2 L U L' U' L U L' U L|OLL}}<br /> {{Alg|y (R' U R U) (R' U R U') (R' U R U') R' U' R U2 R' U R|OLL}}<br /> |<br /> <br /> === OLL 22 ===<br /> [[Image:o22.gif]]<br /> <br /> {{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}<br /> {{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}<br /> {{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}<br /> {{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}<br /> {{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}<br /> {{Alg|R' U L U' R U' L' U' L U' L'|OLL}}<br /> {{Alg|y2 L U' R' U L' U R U R' U R|OLL}}<br /> {{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}<br /> {{Alg|R U' L' U R' U L U L' U L|OLL}}<br /> {{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 23 ===<br /> [[Image:o23.gif]]<br /> <br /> {{Alg|R2 D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br /> {{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br /> {{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}<br /> {{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br /> {{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}<br /> {{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}<br /> {{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> <br /> |<br /> <br /> === OLL 24 ===<br /> [[Image:o24.gif]]<br /> <br /> {{Alg|r U R' U' L' U R U' x'|OLL}}<br /> {{Alg|r U R' U' r' F R F'|OLL}}<br /> {{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}<br /> {{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}<br /> {{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br /> {{Alg|y x D' R' U R D R' U' R x'|OLL}}<br /> {{Alg|y x D L U' L' D' L U L' x' |OLL}}<br /> {{Alg|y x' U' R' D R U R' D' R x|OLL}}<br /> {{Alg|y2 R' F' r U R U' r' F|OLL}}<br /> {{Alg|y2 l' U' L U R U' r' F|OLL}}<br /> {{Alg|y' l U l' F R B' R' F'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 25 ===<br /> [[Image:o25.gif]]<br /> <br /> {{Alg|y2 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y' F' r U R' U' r' F R|OLL}}<br /> {{Alg|y' x U R' U' L U R U' r'|OLL}}<br /> {{Alg|y R' F' L' F R F' L F|OLL}}<br /> {{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}<br /> {{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br /> {{Alg|y2 F R' F' r U R U' r'|OLL}}<br /> {{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br /> {{Alg|x' D R U R' D' R U' l'|OLL}}<br /> {{Alg|x' U L' U' R U L U' l'|OLL}}<br /> {{Alg|x' R' D R U' R' D' R U x|OLL}}<br /> {{Alg|x R' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br /> {{Alg|l' U' L' U R U' L U x'|OLL}}<br /> {{Alg|U r U R U' L' U R' U' x'|OLL}}<br /> {{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}<br /> {{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}<br /> {{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br /> {{Alg|F R B R' F' l U' l'|OLL}}<br /> <br /> <br /> <br /> |}<br /> <br /> ==No edges flipped correctly==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 1 === <br /> [[Image:o1.gif]]<br /> <br /> {{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}<br /> {{Alg|R U B' R B R2 U' R' F R F'|OLL}}<br /> <br /> |<br /> <br /> === OLL 2 === <br /> [[Image:o2.gif]]<br /> <br /> {{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&amp;feature=related}}<br /> {{Alg|y2 F' (L' U' L U) F f' (L' U' L U) f|OLL}}<br /> {{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}<br /> {{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 3 ===<br /> [[Image:o3.gif]]<br /> <br /> {{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}<br /> {{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&amp;feature=related}}<br /> {{Alg|y2 M U l' U2 l U L' U L M'|OLL}}<br /> <br /> |<br /> <br /> === OLL 4 ===<br /> [[Image:o4.gif]]<br /> <br /> {{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}<br /> {{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}<br /> {{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}<br /> {{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}<br /> {{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 20 ===<br /> [[Image:o20.gif]]<br /> <br /> {{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}<br /> {{Alg|M U R U R' U' M2 U R U' r'|OLL}}<br /> {{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}<br /> {{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}<br /> {{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}<br /> {{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}<br /> {{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}<br /> {{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}<br /> {{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}<br /> {{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}<br /> {{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}<br /> {{Alg|M d r2 U M' U2 M U r2 S'|OLL}}<br /> {{Alg|M U M F R' F' M2 F R F' U'|OLL}}<br /> {{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}<br /> {{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}<br /> {{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}<br /> {{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}<br /> {{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}<br /> {{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}<br /> {{Alg|F' B' R E S R S' R2 E' F B |OLL}}<br /> {{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}<br /> {{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}<br /> {{Alg|S U S2 U' L U L S L' U' L' |OLL}}<br /> {{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}<br /> {{Alg|(M U) 4 (M' U) 4|OLL}}<br /> <br /> |<br /> <br /> === OLL 17 ===<br /> [[Image:o17.gif]]<br /> <br /> {{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}<br /> {{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}<br /> {{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}<br /> <br /> === OLL 18 ===<br /> [[Image:o18.gif]]<br /> <br /> {{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br /> {{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}<br /> {{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}<br /> {{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}<br /> {{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}<br /> {{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}<br /> <br /> === OLL 19 ===<br /> [[Image:o19.gif]]<br /> <br /> {{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}<br /> {{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}<br /> {{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br /> {{Alg|M U R U R' U' r R2' F R F'|OLL}}<br /> {{Alg|M U R U R' U' M' l' U R U'|OLL}}<br /> <br /> |}<br /> <br /> ==&quot;P&quot; shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 31 ===<br /> [[Image:o31.gif]]<br /> <br /> {{Alg|L' d' R d L U' L' B' L|OLL}}<br /> {{Alg|S' L' U' L U L F' L' f|OLL}}<br /> {{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}<br /> {{Alg|y2 R' U' F U R U' R' F' R|OLL}}<br /> {{Alg|L' U' B U L U' L' B' L|OLL}}<br /> <br /> |<br /> <br /> === OLL 32 ===<br /> [[Image:o32.gif]]<br /> <br /> {{Alg|R d L' d' R' U R B R'|OLL}}<br /> {{Alg|S R U R' U' R' F R f'|OLL}}<br /> {{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}<br /> {{Alg|R U B' U' R' U R B R'|OLL}}<br /> {{Alg|y2 F U R U' F' r U R' U' r'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 43 ===<br /> [[Image:o43.gif]]<br /> <br /> {{Alg|f' L' U' L U f|OLL}}<br /> {{Alg|B' U' R' U R B|OLL}}<br /> {{Alg|y2 F' U' L' U L F|OLL}}<br /> {{Alg|U R U R' F' L' U' L F|OLL}}<br /> {{Alg|y2 R' U' F R' F' R U R|OLL}}<br /> <br /> |<br /> <br /> === OLL 44 ===<br /> [[Image:o44.gif]]<br /> <br /> {{Alg|f R U R' U' f'|OLL}}<br /> {{Alg|y2 F U R U' R' F'|OLL}}<br /> {{Alg|y R U y' L U' L' B'|OLL}}<br /> {{Alg|y F U R' F R F' U' F'|OLL}}<br /> <br /> |}<br /> <br /> ==&quot;W&quot; shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 36 ===<br /> [[Image:o36.gif]]<br /> <br /> {{Alg|R' U' R U' R' U R U R B' R' B|OLL}}<br /> {{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}<br /> {{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}<br /> <br /> |<br /> <br /> === OLL 38 ===<br /> [[Image:o38.gif]]<br /> <br /> {{Alg|L U L' U L U' L' U' L' B L B'|OLL}}<br /> {{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}<br /> {{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}<br /> <br /> |}<br /> <br /> ==&quot;L&quot; shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> === OLL 48 ===<br /> [[Image:o48.gif]]<br /> <br /> {{Alg|F R U R' U' R U R' U' F'|OLL}}<br /> {{Alg|y2 f U R U' R' U R U' R' f'|OLL}}<br /> {{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}<br /> {{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 47 ===<br /> [[Image:o47.gif]]<br /> <br /> {{Alg|F' L' U' L U L' U' L U F|OLL}}<br /> {{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 53 ===<br /> [[Image:o53.gif]]<br /> <br /> {{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}<br /> {{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}<br /> {{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}<br /> {{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}<br /> {{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}<br /> {{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}<br /> {{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}<br /> <br /> |<br /> <br /> === OLL 54 ===<br /> [[Image:o54.gif]]<br /> <br /> {{Alg|r U R' U R U' R' U R U2 r'|OLL}}<br /> {{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}<br /> {{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}<br /> {{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}<br /> {{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}<br /> {{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 49 ===<br /> [[Image:o49.gif]]<br /> <br /> {{Alg|R B' R2 F R2 B R2 F' R|OLL}}<br /> {{Alg|l U' l2' U l2 U l2' U' l|OLL}}<br /> {{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}<br /> {{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}<br /> {{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}<br /> {{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}<br /> {{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}<br /> <br /> |<br /> === OLL 50 ===<br /> [[Image:o50.gif]]<br /> <br /> {{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}<br /> {{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}<br /> {{Alg|R B' R B R2' U2 F R' F' R|OLL}}<br /> {{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}<br /> {{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}<br /> {{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}<br /> {{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}<br /> <br /> |}<br /> <br /> <br /> ==&quot;C&quot; shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 34 ===<br /> [[Image:o34.gif]]<br /> <br /> {{Alg|R U R' U' x D' R' U R E' z'|OLL}}<br /> {{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}<br /> {{Alg|R U R' U' y' r' U' R U M'|OLL}}<br /> {{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}<br /> {{Alg|R U R' d' l' U' L U r' R|OLL}}<br /> {{Alg|R U R2 U' R' F R U R U' F'|OLL}}<br /> {{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}<br /> <br /> |<br /> <br /> === OLL 46 ===<br /> [[Image:o46.gif]]<br /> <br /> {{Alg|R' U' R' F R F' U R|OLL}}<br /> {{Alg|R' U' l' U l F' U R|OLL}}<br /> {{Alg|y F U F l' U' l U' F'|OLL}}<br /> {{Alg|R U l U' R' U F' l'|OLL}}<br /> {{Alg|y2 L F U' R U R' F' L'|OLL}}<br /> {{Alg|R U R'2 U' R' F R U R U' F|OLL}}<br /> <br /> |}<br /> <br /> ==&quot;T&quot; shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 33 ===<br /> [[Image:o33.gif]]<br /> <br /> {{Alg|R U R' U' R' F R F'|OLL}}<br /> {{Alg|R' U' R U l U' R' U (x)|OLL}}<br /> <br /> |<br /> <br /> === OLL 45 ===<br /> [[Image:o45.gif]]<br /> <br /> {{Alg|F (R U R' U') F'|OLL}}<br /> {{Alg|f' (U' L' U L) f|OLL}}<br /> {{Alg|y2 f (U R U' R') f'|OLL}}<br /> {{Alg|y2 F' (L' U' L U) F|OLL}}<br /> <br /> |}<br /> <br /> ==&quot;I&quot; shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 55 ===<br /> [[Image:o55.gif]]<br /> <br /> {{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}<br /> {{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}<br /> {{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}<br /> {{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}<br /> {{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}<br /> {{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}<br /> {{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}<br /> {{Alg|y r U2 R' U' R2 r' U R' U' r U' r'|OLL}}<br /> A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'<br /> <br /> |<br /> <br /> === OLL 56 ===<br /> [[Image:o56.gif]]<br /> {{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}<br /> {{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}<br /> {{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}<br /> {{Alg|F R U R' U' R F' r U R' U' r'|OLL}}<br /> {{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 51 ===<br /> [[Image:o51.gif]]<br /> <br /> {{Alg|F U R U' R' U R U' R' F'|OLL}}<br /> {{Alg|y2 f R U R' U' R U R' U' f'|OLL}}<br /> <br /> |<br /> <br /> === OLL 52 ===<br /> [[Image:o52.gif]]<br /> <br /> {{Alg|R' U' R U' R' d R' U R B|OLL}}<br /> {{Alg|R U R' U R d' R U' R' F'|OLL}}<br /> {{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}<br /> {{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}<br /> <br /> |}<br /> <br /> ==Square shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 5 ===<br /> [[Image:o5.gif]]<br /> <br /> {{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&amp;feature=related}}<br /> {{Alg|y2 l' U2 L U L' U l'|OLL}}<br /> <br /> |<br /> <br /> === OLL 6 ===<br /> [[Image:o6.gif]]<br /> <br /> {{Alg|y2 (r U2) (R' U' R U') r'|OLL}}<br /> {{Alg|l U2 L' U' L U' l'|OLL}}<br /> <br /> |}<br /> <br /> ==Big lightning bolt shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 39 ===<br /> [[Image:o39.gif]]<br /> <br /> {{Alg|L F' L' U' L U F U' L'|OLL}}<br /> {{Alg|y2 f' L F L' U' L' U L S|OLL}}<br /> {{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}<br /> {{Alg|y2 R B' R' U' R U B U' R'|OLL}}<br /> {{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}<br /> <br /> |<br /> <br /> === OLL 40 ===<br /> [[Image:o40.gif]]<br /> <br /> {{Alg|R' F R U R' U' F' U R|OLL}}<br /> {{Alg|y2 f R' F' R U R U' R' S'|OLL}}<br /> {{Alg|y2 L' B L U L' U' B' U L|OLL}}<br /> <br /> |}<br /> <br /> <br /> ==Small lightning bolt shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 7 ===<br /> [[Image:o7.gif]]<br /> <br /> {{Alg|r U R' U R U2 r'|OLL}}<br /> {{Alg|F R' F' R U2 R U2 R'|OLL}}<br /> {{Alg|L' U2 L U2 L F' L' F|OLL}}<br /> <br /> |<br /> <br /> === OLL 8 ===<br /> [[Image:o8.gif]]<br /> <br /> {{Alg|y2 r' U' R U' R' U2 r|OLL}}<br /> {{Alg|R U2 R' U2 R' F R F'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 11 ===<br /> [[Image:o11.gif]]<br /> <br /> {{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}<br /> {{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}<br /> {{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}<br /> {{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}<br /> <br /> |<br /> <br /> === OLL 12 ===<br /> [[Image:o12.gif]]<br /> <br /> {{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}<br /> {{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}<br /> {{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}<br /> <br /> |}<br /> <br /> ==Fish shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 9 ===<br /> [[Image:o9.gif]]<br /> <br /> {{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}<br /> {{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}<br /> {{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}<br /> {{Alg|y' R' U' R y r U' r' U r U r|OLL}}<br /> <br /> |<br /> <br /> === OLL 10 ===<br /> [[Image:o10.gif]]<br /> <br /> {{Alg|y' R U R' y R' F R U' R' F' R|OLL}}<br /> {{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}<br /> {{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}<br /> {{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 35 ===<br /> [[Image:o35.gif]]<br /> <br /> {{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br /> {{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}<br /> <br /> |<br /> <br /> === OLL 37 ===<br /> [[Image:o37.gif]]<br /> <br /> {{Alg|x' U' R U l' U' R' U R|OLL}}<br /> {{Alg|l U' R' U y' R U R' U' z'|OLL}}<br /> {{Alg|y F R U' R' U' R U R' F'|OLL}}<br /> {{Alg|y R' F R F' U' F' U F|OLL}}<br /> {{Alg|y F R' F' R U R U' R'|OLL}}<br /> {{Alg|R B' R' B U B U' B'|OLL}}<br /> <br /> |}<br /> <br /> ==Knight move shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 13 ===<br /> [[Image:o13.gif]]<br /> <br /> {{Alg|F U R U' R2 F' R U R U' R'|OLL}}<br /> {{Alg|F U R U2 R' U' R U R' F'|OLL}}<br /> {{Alg|r U' r' U' r U r' y' R' U R|OLL}}<br /> {{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br /> {{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}<br /> <br /> |<br /> <br /> === OLL 14 ===<br /> [[Image:o14.gif]]<br /> <br /> {{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br /> {{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}<br /> {{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}<br /> {{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br /> {{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 15 ===<br /> [[Image:o15.gif]]<br /> <br /> {{Alg|y2 l' U' l L' U' L U l' U l|OLL}}<br /> {{Alg|y2 R' F' R L' U' L U R' F R|OLL}}<br /> {{Alg|r' U' r R' U' R U r' U r|OLL}}<br /> <br /> |<br /> <br /> === OLL 16 ===<br /> [[Image:o16.gif]]<br /> <br /> {{Alg|y2 r U r' R U R' U' r U' r'|OLL}}<br /> {{Alg|y2 r U M U R' U' r U' r'|OLL}}<br /> {{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}<br /> <br /> |}<br /> <br /> ==Awkward shapes==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 29 ===<br /> [[Image:o29.gif]]<br /> <br /> {{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}<br /> {{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}<br /> {{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}<br /> {{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}<br /> {{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}<br /> {{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br /> {{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br /> <br /> |<br /> <br /> === OLL 30 ===<br /> [[Image:o30.gif]]<br /> <br /> {{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}<br /> {{Alg|l U' R' U l' U2 d L U L'|OLL}}<br /> {{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}<br /> {{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}<br /> {{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}<br /> {{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}<br /> {{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}<br /> {{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 41 ===<br /> [[Image:o41.gif]]<br /> <br /> {{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}<br /> {{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}<br /> {{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}<br /> {{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}<br /> {{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}<br /> {{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}<br /> {{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}<br /> <br /> |<br /> <br /> === OLL 42 ===<br /> [[Image:o42.gif]]<br /> <br /> {{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}<br /> {{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}<br /> {{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}<br /> {{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}<br /> {{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}<br /> {{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}<br /> <br /> |}<br /> <br /> ==All Corners Oriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 28 ===<br /> [[Image:o28.gif]]<br /> <br /> {{Alg|r U R' U' r' R U R U' R'|OLL}}<br /> {{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}<br /> {{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}<br /> {{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}<br /> {{Alg|y' r' U' R U M' U' R' U R|OLL}}<br /> {{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}<br /> {{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}<br /> {{Alg|F R U R' U' F2 L' U' L U F|OLL}}<br /> {{Alg|M U M' U2 M U M'|OLL}}<br /> {{Alg|y M U' M' U2 M U' M'|OLL}}<br /> {{Alg|y2 M' U M U2 M' U M|OLL}}<br /> {{Alg|y' M U M2 U M' U2 M U M |OLL}}<br /> {{Alg|M U M U M' U' M U' M U M |OLL}}<br /> {{Alg|M U M' U M U2 M' U' M U' M'|OLL}}<br /> {{Alg|y M U' M U' M' U M U M U' M |OLL}}<br /> {{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}<br /> {{Alg|y' M U M' U M U M' U M U M' |OLL}}<br /> {{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}<br /> {{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}<br /> {{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}<br /> {{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}<br /> {{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}<br /> {{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}<br /> {{Alg|R' F R S R' F' R S' |OLL}}<br /> {{Alg|L2 S U' S' U L2 U S U S' |OLL}}<br /> {{Alg|y L F' L' S' L F L'S |OLL}}<br /> <br /> |<br /> <br /> === OLL 57 ===<br /> [[Image:o57.gif]]<br /> <br /> {{Alg|R U R' U' r R' U R U' r'|OLL}}<br /> {{Alg|(x') M' U' R U M U' R' U (x)|OLL}}<br /> {{Alg|R' U' R U M U' R' U r|OLL}}<br /> {{Alg|M U M U M U2 M' U M' U M' |OLL}}<br /> {{Alg|M U M U M U2 M' U M' U M' |OLL}}<br /> {{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}<br /> {{Alg|M U M' U' M U M' U M U2 M'|OLL}}<br /> {{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}<br /> {{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}<br /> {{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}<br /> {{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}<br /> {{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}<br /> {{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}<br /> {{Alg|y M' U M U M' U M U' M' U' M|OLL}}<br /> {{Alg|y M' U' M U' M' U' M U M' U M|OLL}}<br /> {{Alg|y M U' M' U' M U' M' U M U M'|OLL}}<br /> {{Alg|y M U M' U M U M' U' M U' M'|OLL}}<br /> {{Alg|M U M' U' F2 M U M' U' F2 |OLL}}<br /> {{Alg|M' U' M U F2 M' U' M U F2|OLL}}<br /> {{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}<br /> {{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}<br /> <br /> |}<br /> <br /> == See Also ==<br /> * [[OLL (2x2x2)]]<br /> * [[2-Look OLL]]<br /> * [[PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]<br /> <br /> == External Links ==<br /> <br /> * [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)<br /> * [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=List_of_organizations&diff=8115 2010-04-13T05:27:57Z

<p>Shelley: /* University Clubs */</p> <hr /> <div>== Description ==<br /> This page is an attempt to compile a list of all the significant Rubik's Cube-related clubs, associations, and organizations around the world.<br /> <br /> <br /> == Regional ==<br /> === International ===<br /> * [http://www.worldcubeassociation.org/ World Cube Association (WCA)] – The WCA is the international body for regulating official competitions – founded 2004(?).<br /> <br /> === National ===<br /> * NKC<br /> * [http://www.cubingusa.com/ CubingUSA] - Recognized by the WCA as the official USA national organization. A great resource to find other competitors and competitions in the United States.<br /> ** [http://koii.cubingusa.com/ KOII] - An organization that runs competitions in Kentucky, Ohio, Illinois, and Indiana.<br /> ** [http://www.utahcubing.com/ Utah Cubing]<br /> ** [http://games.groups.yahoo.com/group/milehighspeedcubing/ Mile High Speedcubing] - Colorado Organization.<br /> <br /> == University Clubs ==<br /> * Berkeley Cube Club – University of California, Berkeley – Founded in 2006.<br /> * [http://students.brown.edu/Cubing_Club/ Brown Cubing Club] – [http://www.brown.edu/ Brown University] – Founded in ?<br /> * [http://www.ugcs.caltech.edu/~ambie/cube/ Caltech Cube Club] – [http://www.caltech.edu/ California Institute of Technology] – Founded in January 2004.<br /> * [http://www.union.ufl.edu/involvement/search/orgdetail.asp?org=GATOR+CUBE+CLUB Gator Cube Club] – [http://www.ufl.edu/ University of Florida] – Founded in ?<br /> * Harvard College Cube Club – [http://www.harvard.edu/ Harvard University] – Founded in 2010.<br /> * [http://web.mit.edu/cubeclub/ MIT Rubik's Cube Club] – [http://www.mit.edu/ Massachusetts Institute of Technology] – Founded in 2008.<br /> * [http://cubeclub.org.ohio-state.edu/index.php Cube Club at OSU] – [http://www.osu.edu/ Ohio State University] – Founded in 2008.<br /> * [http://www.princeton.edu/~cubeclub/ Princeton Cube Club] – [http://www.princeton.edu/main/ Princeton University] – Founded in ?<br /> * [http://cube.stanford.edu/ Stanford Cube Club] – [http://www.stanford.edu/ Stanford University] – founded in 1980, and at least once again (in 2008?).<br /> * [http://www.texasspeedcubing.org/index.php Texas Speedcubing] – [http://www.utexas.edu/ University of Texas at Austin] – Founded in 2008.<br /> <br /> == School Clubs ==<br /> <br /> == Online Communities ==<br /> * [http://www.speedsolving.com speedsolving.com]<br /> <br /> [[Category:Cubing Community]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=List_of_organizations&diff=8114 2010-04-13T05:25:41Z

<p>Shelley: /* University Clubs */</p> <hr /> <div>== Description ==<br /> This page is an attempt to compile a list of all the significant Rubik's Cube-related clubs, associations, and organizations around the world.<br /> <br /> <br /> == Regional ==<br /> === International ===<br /> * [http://www.worldcubeassociation.org/ World Cube Association (WCA)] – The WCA is the international body for regulating official competitions – founded 2004(?).<br /> <br /> === National ===<br /> * NKC<br /> * [http://www.cubingusa.com/ CubingUSA] - Recognized by the WCA as the official USA national organization. A great resource to find other competitors and competitions in the United States.<br /> ** [http://koii.cubingusa.com/ KOII] - An organization that runs competitions in Kentucky, Ohio, Illinois, and Indiana.<br /> ** [http://www.utahcubing.com/ Utah Cubing]<br /> ** [http://games.groups.yahoo.com/group/milehighspeedcubing/ Mile High Speedcubing] - Colorado Organization.<br /> <br /> == University Clubs ==<br /> * Berkeley Cube Club – University of California, Berkeley – Founded in ?.<br /> * [http://students.brown.edu/Cubing_Club/ Brown Cubing Club] – [http://www.brown.edu/ Brown University] – Founded in ?<br /> * [http://www.ugcs.caltech.edu/~ambie/cube/ Caltech Cube Club] – [http://www.caltech.edu/ California Institute of Technology] – Founded in January 2004.<br /> * [http://www.union.ufl.edu/involvement/search/orgdetail.asp?org=GATOR+CUBE+CLUB Gator Cube Club] – [http://www.ufl.edu/ University of Florida] – Founded in ?<br /> * Harvard College Cube Club – [http://www.harvard.edu/ Harvard University] – Founded in 2010.<br /> * [http://web.mit.edu/cubeclub/ MIT Rubik's Cube Club] – [http://www.mit.edu/ Massachusetts Institute of Technology] – Founded in 2008.<br /> * [http://cubeclub.org.ohio-state.edu/index.php Cube Club at OSU] – [http://www.osu.edu/ Ohio State University] – Founded in 2008.<br /> * [http://www.princeton.edu/~cubeclub/ Princeton Cube Club] – [http://www.princeton.edu/main/ Princeton University] – Founded in ?<br /> * [http://cube.stanford.edu/ Stanford Cube Club] – [http://www.stanford.edu/ Stanford University] – founded in 1980, and at least once again (in 2008?).<br /> * [http://www.texasspeedcubing.org/index.php Texas Speedcubing] – [http://www.utexas.edu/ University of Texas at Austin] – Founded in 2008.<br /> <br /> == School Clubs ==<br /> <br /> == Online Communities ==<br /> * [http://www.speedsolving.com speedsolving.com]<br /> <br /> [[Category:Cubing Community]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=6478 2009-12-31T08:56:35Z

<p>Shelley: /* F Permutation */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> &lt;strong&gt;Click on an algorithm (not the camera icon) to watch an animation of it.&lt;/strong&gt;<br /> <br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> {{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br /> {{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br /> {{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br /> {{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br /> {{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br /> {{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br /> {{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br /> {{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br /> {{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br /> {{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br /> {{Alg|M2 U M2 U2 M2 U M2|PLL}}<br /> {{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br /> <br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> {{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br /> {{Alg|M2 U M' U2 M U M2|PLL}}<br /> {{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br /> {{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br /> {{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br /> {{Alg|B2 U' M' U2 M U' B2|PLL}}<br /> {{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br /> {{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br /> {{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br /> {{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br /> {{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br /> <br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> {{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br /> {{Alg|M2 U' M' U2 M U' M2|PLL}}<br /> {{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br /> {{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br /> {{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br /> {{Alg|B2 U M' U2 M U B2|PLL}}<br /> {{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br /> {{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br /> {{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br /> {{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br /> <br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> {{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br /> {{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<br /> {{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}<br /> {{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}<br /> {{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br /> {{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}<br /> {{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}<br /> {{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br /> {{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}<br /> {{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}<br /> {{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}<br /> {{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br /> {{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br /> {{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br /> {{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br /> {{Alg|M2 U' M E2 M E2 U M2|PLL}}<br /> {{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}<br /> {{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}<br /> {{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br /> {{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}<br /> {{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br /> {{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br /> {{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}<br /> <br /> ==Permutations of Corners Only==<br /> This is also known as '''CPLL''' (Corner Permute Last Layer).<br /> <br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> {{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br /> {{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br /> {{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br /> {{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br /> {{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br /> {{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br /> {{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br /> {{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br /> {{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br /> <br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> {{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br /> {{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br /> {{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br /> {{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br /> {{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br /> {{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br /> {{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br /> {{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br /> {{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br /> {{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br /> <br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> {{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br /> {{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br /> {{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br /> {{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br /> {{Alg|y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br /> {{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br /> {{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br /> {{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br /> {{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br /> {{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br /> {{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br /> {{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br /> {{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br /> {{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> {{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br /> {{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br /> {{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br /> {{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br /> {{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br /> {{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br /> {{Alg|R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br /> {{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br /> {{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br /> {{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}} (from [[http://www.speedcubers.de/forum/showthread.php?tid=1807 here]])<br /> {{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> {{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br /> {{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|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 /> <br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> {{Alg|R' U' R y 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 /> <br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br /> {{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br /> <br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<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) 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) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br /> {{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br /> {{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br /> <br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> {{Alg|(y2) R' U2 R U R' z' R2' U R' D R U'|PLL}}<br /> {{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br /> {{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br /> {{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br /> {{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br /> {{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br /> {{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br /> {{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br /> {{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br /> {{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br /> {{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br /> {{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br /> {{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> {{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br /> {{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br /> {{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br /> {{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br /> {{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br /> {{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br /> {{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br /> {{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br /> {{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br /> {{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br /> {{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br /> <br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> {{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br /> {{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br /> {{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br /> {{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br /> {{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br /> {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br /> <br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> {{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br /> {{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br /> {{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br /> {{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br /> {{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br /> {{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br /> <br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> {{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br /> {{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br /> {{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br /> {{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br /> {{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br /> {{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br /> {{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br /> {{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br /> <br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> {{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br /> {{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br /> {{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br /> {{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br /> {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br /> {{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br /> {{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br /> <br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br /> {{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br /> {{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br /> {{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br /> {{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br /> {{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br /> {{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br /> {{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br /> <br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> {{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br /> {{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br /> {{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br /> {{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br /> {{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br /> {{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br /> {{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br /> {{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br /> <br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> {{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}<br /> {{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br /> {{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br /> {{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br /> {{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br /> {{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br /> {{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br /> {{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br /> {{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br /> {{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br /> {{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br /> {{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br /> {{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br /> <br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> == See Also ==<br /> * [[2-Look PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=6477 2009-12-31T08:51:17Z

<p>Shelley: /* Z Permutation */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> &lt;strong&gt;Click on an algorithm (not the camera icon) to watch an animation of it.&lt;/strong&gt;<br /> <br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> {{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br /> {{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br /> {{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br /> {{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br /> {{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br /> {{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br /> {{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br /> {{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br /> {{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br /> {{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br /> {{Alg|M2 U M2 U2 M2 U M2|PLL}}<br /> {{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br /> <br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> {{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br /> {{Alg|M2 U M' U2 M U M2|PLL}}<br /> {{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br /> {{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br /> {{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br /> {{Alg|B2 U' M' U2 M U' B2|PLL}}<br /> {{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br /> {{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br /> {{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br /> {{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br /> {{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br /> <br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> {{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br /> {{Alg|M2 U' M' U2 M U' M2|PLL}}<br /> {{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br /> {{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br /> {{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br /> {{Alg|B2 U M' U2 M U B2|PLL}}<br /> {{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br /> {{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br /> {{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br /> {{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br /> <br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> {{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br /> {{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<br /> {{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}<br /> {{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}<br /> {{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br /> {{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}<br /> {{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}<br /> {{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br /> {{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}<br /> {{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}<br /> {{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}<br /> {{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br /> {{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br /> {{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br /> {{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br /> {{Alg|M2 U' M E2 M E2 U M2|PLL}}<br /> {{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}<br /> {{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}<br /> {{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br /> {{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}<br /> {{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br /> {{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br /> {{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}<br /> <br /> ==Permutations of Corners Only==<br /> This is also known as '''CPLL''' (Corner Permute Last Layer).<br /> <br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> {{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br /> {{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br /> {{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br /> {{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br /> {{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br /> {{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br /> {{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br /> {{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br /> {{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br /> <br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> {{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br /> {{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br /> {{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br /> {{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br /> {{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br /> {{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br /> {{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br /> {{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br /> {{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br /> {{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br /> <br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> {{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br /> {{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br /> {{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br /> {{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br /> {{Alg|y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br /> {{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br /> {{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br /> {{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br /> {{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br /> {{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br /> {{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br /> {{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br /> {{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br /> {{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> {{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br /> {{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br /> {{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br /> {{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br /> {{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br /> {{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br /> {{Alg|R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL}}<br /> {{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br /> {{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br /> {{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}} (from [[http://www.speedcubers.de/forum/showthread.php?tid=1807 here]])<br /> {{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br /> <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> {{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br /> {{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|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 /> <br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> {{Alg|R' U' R y 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 /> <br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br /> {{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br /> <br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<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) 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) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br /> {{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br /> {{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br /> <br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> {{Alg|(y2) R' U2 R U R' z' R2' U R' D R U'|PLL}}<br /> {{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br /> {{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br /> {{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br /> {{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br /> {{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br /> {{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br /> {{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br /> {{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br /> {{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br /> {{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br /> {{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br /> {{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> {{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br /> {{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br /> {{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br /> {{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br /> {{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br /> {{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br /> {{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br /> {{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br /> {{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br /> {{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br /> {{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br /> <br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> {{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br /> {{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br /> {{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br /> {{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br /> {{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br /> {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br /> <br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> {{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br /> {{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br /> {{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br /> {{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br /> {{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br /> {{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br /> <br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> {{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br /> {{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br /> {{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br /> {{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br /> {{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br /> {{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br /> {{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br /> {{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br /> <br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> {{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br /> {{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br /> {{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br /> {{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br /> {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br /> {{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br /> {{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br /> <br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br /> {{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br /> {{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br /> {{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br /> {{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br /> {{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br /> {{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br /> {{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br /> <br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> {{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br /> {{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br /> {{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br /> {{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br /> {{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br /> {{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br /> {{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br /> {{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br /> <br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> {{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}<br /> {{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br /> {{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br /> {{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br /> {{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br /> {{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br /> {{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br /> {{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br /> {{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br /> {{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br /> {{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br /> {{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br /> {{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br /> <br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> == See Also ==<br /> * [[2-Look PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=6476 2009-12-31T08:49:48Z

<p>Shelley: /* Z Permutation */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> &lt;strong&gt;Click on an algorithm (not the camera icon) to watch an animation of it.&lt;/strong&gt;<br /> <br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> {{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br /> {{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br /> {{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br /> {{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br /> {{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br /> {{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br /> {{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br /> {{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br /> {{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br /> {{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br /> {{Alg|M2 U M2 U2 M2 U M2|PLL}}<br /> {{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br /> <br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> {{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br /> {{Alg|M2 U M' U2 M U M2|PLL}}<br /> {{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br /> {{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br /> {{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br /> {{Alg|B2 U' M' U2 M U' B2|PLL}}<br /> {{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br /> {{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br /> {{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br /> {{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br /> {{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br /> <br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> {{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br /> {{Alg|M2 U' M' U2 M U' M2|PLL}}<br /> {{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br /> {{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br /> {{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br /> {{Alg|B2 U M' U2 M U B2|PLL}}<br /> {{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br /> {{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br /> {{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br /> {{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br /> <br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> {{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br /> {{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<br /> {{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}<br /> {{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}<br /> {{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br /> {{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}<br /> {{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br /> {{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}<br /> {{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}<br /> {{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}<br /> {{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br /> {{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br /> {{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br /> {{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br /> {{Alg|M2 U' M E2 M E2 U M2|PLL}}<br /> {{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}<br /> {{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}<br /> {{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br /> {{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}<br /> {{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br /> {{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br /> {{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}<br /> <br /> ==Permutations of Corners Only==<br /> This is also known as '''CPLL''' (Corner Permute Last Layer).<br /> <br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> {{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br /> {{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br /> {{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br /> {{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br /> {{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br /> {{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br /> {{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br /> {{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br /> {{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br /> <br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> {{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br /> {{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br /> {{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br /> {{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br /> {{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br /> {{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br /> {{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br /> {{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br /> {{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br /> {{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br /> <br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> {{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br /> {{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br /> {{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br /> {{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br /> {{Alg|y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br /> {{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br /> {{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br /> {{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br /> {{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br /> {{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br /> {{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br /> {{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br /> {{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br /> {{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> {{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br /> {{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br /> {{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br /> {{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br /> {{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br /> {{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br /> {{Alg|R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL}}<br /> {{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br /> {{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br /> {{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}} (from [[http://www.speedcubers.de/forum/showthread.php?tid=1807 here]])<br /> {{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br /> <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> {{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br /> {{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|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 /> <br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> {{Alg|R' U' R y 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 /> <br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br /> {{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br /> <br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<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) 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) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br /> {{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br /> {{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br /> <br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> {{Alg|(y2) R' U2 R U R' z' R2' U R' D R U'|PLL}}<br /> {{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br /> {{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br /> {{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br /> {{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br /> {{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br /> {{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br /> {{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br /> {{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br /> {{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br /> {{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br /> {{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br /> {{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> {{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br /> {{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br /> {{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br /> {{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br /> {{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br /> {{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br /> {{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br /> {{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br /> {{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br /> {{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br /> {{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br /> <br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> {{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br /> {{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br /> {{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br /> {{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br /> {{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br /> {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br /> <br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> {{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br /> {{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br /> {{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br /> {{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br /> {{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br /> {{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br /> <br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> {{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br /> {{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br /> {{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br /> {{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br /> {{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br /> {{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br /> {{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br /> {{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br /> <br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> {{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br /> {{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br /> {{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br /> {{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br /> {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br /> {{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br /> {{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br /> <br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br /> {{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br /> {{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br /> {{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br /> {{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br /> {{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br /> {{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br /> {{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br /> <br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> {{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br /> {{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br /> {{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br /> {{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br /> {{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br /> {{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br /> {{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br /> {{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br /> <br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> {{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}<br /> {{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br /> {{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br /> {{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br /> {{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br /> {{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br /> {{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br /> {{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br /> {{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br /> {{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br /> {{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br /> {{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br /> {{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br /> <br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> == See Also ==<br /> * [[2-Look PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=6475 2009-12-31T08:45:08Z

<p>Shelley: /* J Permutation : a */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> &lt;strong&gt;Click on an algorithm (not the camera icon) to watch an animation of it.&lt;/strong&gt;<br /> <br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> {{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br /> {{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br /> {{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br /> {{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br /> {{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br /> {{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br /> {{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br /> {{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br /> {{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br /> {{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br /> {{Alg|M2 U M2 U2 M2 U M2|PLL}}<br /> {{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br /> <br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> {{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br /> {{Alg|M2 U M' U2 M U M2|PLL}}<br /> {{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br /> {{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br /> {{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br /> {{Alg|B2 U' M' U2 M U' B2|PLL}}<br /> {{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br /> {{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br /> {{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br /> {{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br /> {{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br /> <br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> {{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br /> {{Alg|M2 U' M' U2 M U' M2|PLL}}<br /> {{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br /> {{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br /> {{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br /> {{Alg|B2 U M' U2 M U B2|PLL}}<br /> {{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br /> {{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br /> {{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br /> {{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br /> <br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> {{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br /> {{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<br /> {{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}<br /> {{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}<br /> {{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br /> {{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL}}<br /> {{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br /> {{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}<br /> {{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}<br /> {{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}<br /> {{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br /> {{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br /> {{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br /> {{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br /> {{Alg|M2 U' M E2 M E2 U M2|PLL}}<br /> {{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}<br /> {{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}<br /> {{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br /> {{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}<br /> {{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br /> {{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br /> {{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}<br /> <br /> ==Permutations of Corners Only==<br /> This is also known as '''CPLL''' (Corner Permute Last Layer).<br /> <br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> {{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br /> {{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br /> {{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br /> {{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br /> {{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br /> {{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br /> {{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br /> {{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br /> {{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br /> <br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> {{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br /> {{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br /> {{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br /> {{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br /> {{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br /> {{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br /> {{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br /> {{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br /> {{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br /> {{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br /> <br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> {{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br /> {{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br /> {{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br /> {{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br /> {{Alg|y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br /> {{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br /> {{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br /> {{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br /> {{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br /> {{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br /> {{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br /> {{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br /> {{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br /> {{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> {{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br /> {{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br /> {{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br /> {{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br /> {{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br /> {{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br /> {{Alg|R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL}}<br /> {{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br /> {{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br /> {{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}} (from [[http://www.speedcubers.de/forum/showthread.php?tid=1807 here]])<br /> {{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br /> <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> {{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br /> {{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|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 /> <br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> {{Alg|R' U' R y 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 /> <br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br /> {{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br /> <br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<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) 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) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br /> {{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br /> {{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br /> <br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> {{Alg|(y2) R' U2 R U R' z' R2' U R' D R U'|PLL}}<br /> {{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br /> {{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br /> {{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br /> {{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br /> {{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br /> {{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br /> {{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br /> {{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br /> {{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br /> {{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br /> {{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br /> {{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> {{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br /> {{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br /> {{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br /> {{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br /> {{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br /> {{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br /> {{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br /> {{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br /> {{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br /> {{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br /> {{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br /> <br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> {{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br /> {{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br /> {{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br /> {{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br /> {{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br /> {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br /> <br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> {{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br /> {{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br /> {{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br /> {{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br /> {{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br /> {{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br /> <br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> {{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br /> {{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br /> {{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br /> {{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br /> {{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br /> {{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br /> {{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br /> {{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br /> <br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> {{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br /> {{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br /> {{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br /> {{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br /> {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br /> {{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br /> {{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br /> <br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br /> {{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br /> {{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br /> {{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br /> {{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br /> {{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br /> {{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br /> {{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br /> <br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> {{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br /> {{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br /> {{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br /> {{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br /> {{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br /> {{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br /> {{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br /> {{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br /> <br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> {{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}<br /> {{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br /> {{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br /> {{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br /> {{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br /> {{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br /> {{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br /> {{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br /> {{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br /> {{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br /> {{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br /> {{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br /> {{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br /> <br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> == See Also ==<br /> * [[2-Look PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=6474 2009-12-31T08:40:41Z

<p>Shelley: /* J Permutation : a */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> &lt;strong&gt;Click on an algorithm (not the camera icon) to watch an animation of it.&lt;/strong&gt;<br /> <br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> {{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br /> {{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br /> {{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br /> {{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br /> {{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br /> {{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br /> {{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br /> {{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br /> {{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br /> {{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br /> {{Alg|M2 U M2 U2 M2 U M2|PLL}}<br /> {{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br /> <br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> {{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br /> {{Alg|M2 U M' U2 M U M2|PLL}}<br /> {{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br /> {{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br /> {{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br /> {{Alg|B2 U' M' U2 M U' B2|PLL}}<br /> {{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br /> {{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br /> {{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br /> {{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br /> {{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br /> <br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> {{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br /> {{Alg|M2 U' M' U2 M U' M2|PLL}}<br /> {{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br /> {{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br /> {{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br /> {{Alg|B2 U M' U2 M U B2|PLL}}<br /> {{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br /> {{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br /> {{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br /> {{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br /> <br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> {{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br /> {{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<br /> {{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}<br /> {{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}<br /> {{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br /> {{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL}}<br /> {{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br /> {{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}<br /> {{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}<br /> {{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}<br /> {{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br /> {{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br /> {{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br /> {{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br /> {{Alg|M2 U' M E2 M E2 U M2|PLL}}<br /> {{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}<br /> {{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}<br /> {{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br /> {{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}<br /> {{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br /> {{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br /> {{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}<br /> <br /> ==Permutations of Corners Only==<br /> This is also known as '''CPLL''' (Corner Permute Last Layer).<br /> <br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> {{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br /> {{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br /> {{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br /> {{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br /> {{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br /> {{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br /> {{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br /> {{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br /> {{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br /> <br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> {{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br /> {{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br /> {{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br /> {{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br /> {{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br /> {{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br /> {{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br /> {{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br /> {{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br /> {{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br /> <br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> {{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br /> {{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br /> {{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br /> {{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br /> {{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br /> {{Alg|y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br /> {{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br /> {{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br /> {{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br /> {{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br /> {{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br /> {{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br /> {{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br /> {{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br /> {{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> {{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br /> {{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br /> {{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br /> {{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br /> {{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br /> {{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br /> {{Alg|R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL}}<br /> {{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br /> {{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br /> {{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}} (from [[http://www.speedcubers.de/forum/showthread.php?tid=1807 here]])<br /> {{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br /> <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> {{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br /> {{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|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 /> <br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> {{Alg|R' U' R y 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 /> <br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br /> {{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br /> <br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<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) 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) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br /> {{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br /> {{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br /> <br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> {{Alg|(y2) R' U2 R U R' z' R2' U R' D R U'|PLL}}<br /> {{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL}}<br /> {{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br /> {{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br /> {{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br /> {{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br /> {{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br /> {{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br /> {{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br /> {{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br /> {{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br /> {{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br /> {{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br /> {{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> {{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br /> {{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br /> {{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br /> {{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br /> {{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br /> {{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br /> {{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br /> {{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br /> {{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br /> {{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br /> {{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br /> <br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> {{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br /> {{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br /> {{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br /> {{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br /> {{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br /> {{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br /> {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br /> <br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> {{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br /> {{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br /> {{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br /> {{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br /> {{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br /> {{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br /> {{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br /> {{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br /> {{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br /> <br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> {{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br /> {{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br /> {{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br /> {{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br /> {{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br /> {{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br /> {{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br /> {{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br /> {{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br /> <br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> {{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br /> {{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br /> {{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br /> {{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br /> {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br /> {{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br /> {{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br /> <br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br /> {{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br /> {{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br /> {{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br /> {{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br /> {{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br /> {{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br /> {{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br /> <br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> {{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br /> {{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br /> {{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br /> {{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br /> {{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br /> {{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br /> {{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br /> {{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br /> {{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br /> {{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br /> <br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> {{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL}}<br /> {{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br /> {{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br /> {{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br /> {{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br /> {{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br /> {{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br /> {{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br /> {{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br /> {{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br /> {{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br /> {{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br /> {{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br /> <br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> == See Also ==<br /> * [[2-Look PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=5637 2009-09-24T05:02:02Z

<p>Shelley: /* V Permutation */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> * M2 U M2 U2 M2 U M2<br /> * R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * (y2) F2 U' L R' F2 L' R U' F2<br /> * M2 U M' U2 M U M2<br /> * (y2) M2 U M U2 M' U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * (y2) L2 U' L' U' L U L U L U' L<br /> * B2 U' M' U2 M U' B2<br /> * (y2) R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * (y) R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * (y2) F2 U R' L F2 R L' U F2<br /> * M2 U' M' U2 M U' M2<br /> * (y2) M2 U' M U2 M' U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * (y2) R2' U R U R' U' R' U' R' U R'<br /> * B2 U M' U2 M U B2<br /> * L2 U L U L' U' L' U' L' U L'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U' R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * y x' R U' R' U D R' D U' R' U R D2' F x<br /> * y M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> * U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br /> * y R U R' U R' U' R' U R U' R' U' R2 U R U2<br /> * y' R U R B' R' B U' R' f R U R' U' f'<br /> * (x2 y) M2 U S2 U' S' M2 S<br /> * M2 U (F2 M2 F2 M2) U' M2<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * R' F R' B2 R F' R' B2 R2<br /> * (x') R' D R' U2 R D' R' U2 R2<br /> * (x) R' U R' D2 R U' R' D2 R2<br /> * (y' x) L2 D2 L' U' L D2 L' U L' <br /> * (y2) (L' B L') (F2 L B' L') (F2 L2)<br /> * (y2 z) F2 R U2 R' U2 F2 L' U2 L U2<br /> * (y z') U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> * (y) R2 F2 (R' B' R) F2 (R' B R')<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * R B' R F2 R' B R F2 R2 <br /> * (x) R D' R U2 R' D R U2 R2<br /> * (x') R U' R D2 R' U R D2 R2 <br /> * (y' x) R2 D2 R U R' D2 R U' R<br /> * (y2 x) L U' L D2 L' U L D2 L2 <br /> * (y z) U2 L' U2 L F2 U2 R U2 R' F2<br /> * (z') F2 L' U2 L U2 F2 R U2 R' U2<br /> * (y') R' U2 R U' L' U R U' L U R2 U2 R<br /> * (z) (U R' D r2 U') (R U r2' U') (D')<br /> * (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'<br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> * (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')<br /> * l' U' (r' F R F') (R U R' U') L (U R U' R') F<br /> * (F' R U R' U') L' U R U' (l' U R' U' r) F R<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * (y2) R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br /> * (y2) M U2 r' U l' U2 r U' R2 r U2 R2<br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * (y) R2' u R' U R' U' R u' R2 y' R' U R<br /> * (y) R2 D B' U B' U' B D' R2 F' U F<br /> * (y2) F2' D R' U R' U' R D' F2 L' U L<br /> * R L U2 R' L' y' R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * R' U' R y R2 u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y2) L' U' L y' R2' u R' U R U' R u' R2 <br /> * (y') R' U L' U2 R U' L y R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> * (y) R2' u' R U' R U R' u R2 y R U' R'<br /> * (y) R2' u' R U' R U R' u R2 B U' B'<br /> * (y) R2' D' F U' F U F' D R2 B U' B'<br /> * (y2) F2' D' L U' L U L' D F2 R U' R'<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> * (y') l' U' U' L' U l F' U' L U F R' F R<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * (y2) R U R' y' R2 u' R U' R' U R' u R2<br /> * (y2) R U R' F2 D' L U' L' U L' D F2<br /> * (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x<br /> * (y) L U' R U2 L' U R' y R' L' U2 R L<br /> * (y) L U' R U2 L' U R' y' L' R' U2 L R<br /> * (y') R' F' R F' U' L' U F R' F' L F2 R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * (y2) R' U2 R U R' z' R2' U R' D R U'<br /> * (y2) L' R' U2 R U R' U2 L U' R U<br /> * (y2) F2 L' U' r U2 l' U R' U' R2<br /> * (y2) R' U2 R U R' U2' L U' R U L'<br /> * (y2) x U2 r' U' r U2 l' U R' U' R2<br /> * B2' R2 U' R2' u R2 D' R2' U R2<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * R U2 R' U' R d2' R' U L' U' R<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y' L' U' R U2 L' U L U2 L' R U<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * R' U R2 B2 U R' B2' R U' B2 R2' U' R<br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * R U' R2' F2 U' R F2' R' U F2 R2 U R'<br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D <br /> * z (D' R U' R2' D R3 U) * 2<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br /> * R U2 R D R' U R D' R' U' R' U R U R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> * R' U2 R' D' R U' R' D R U R U' R' U' R U'<br /> * (y x) R2 U l U R U' l' U' l U2 R' U2 R<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * y2 L' U' L U L F' L2 U L U L' U' L F<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> * (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> * R' U2 R U2 L U' R' U L' U L U' R U L'<br /> * R' U2 R U2 L U' R' U r' F r U' R U r'<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * R2 u R2' U R2 D' R' U' R F2' R' U R<br /> * F R' F R2 U' R' U' R U R' F' R U R' U' F'<br /> * R' U' R F2 R' U R d R2 U' R2' U' R2<br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * y F' L' U L U L' U' L F L' U' L U L' F' L F<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> * y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br /> <br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> == See Also ==<br /> * [[2-Look PLL]]<br /> <br /> [[Category:Methods]]<br /> [[Category:3x3x3 Methods]]<br /> [[Category:Last Layer Methods]]<br /> [[Category:Cubing Terminology]]<br /> [[Category:Abbreviations and Acronyms]]<br /> [[Category:Algorithms]]<br /> [[Category:Sub Steps]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3393 2009-05-29T00:07:26Z

<p>Shelley: /* R Permutation : a */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * y2 L2 U' L' U' L U L U L U' L<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * L2 U L U L' U' L' U' L' U L'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U' R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> * U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * y' x L2 D2 L' U' L D2 L' U L x'<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> * y R2 F2 (R' B' R) F2 (R' B R')<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * y2 x L U' L D2 L' U L D2 L2 x'<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> * y (R B' R) F2 (R' B R) F2 R2<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br /> * (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> * (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y' L' U' R U2 L' U L U2 L' R U<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br /> * R U2 R D R' U R D' R' U' R' U R U R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> * R' U2 R' D' R U' R' D R U R U' R' U' R U'<br /> * (y x) R2 U l U R U' l' U' l U2 R' U2 R<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * y2 L' U' L U L F' L2 U L U L' U' L F<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> * y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br /> * (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> * R' U2 R U2 L U' R' U L' U L U' R U L'<br /> * R' U2 R U2 L U' R' U r' F r U' R U r'<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * y F' L' U L U L' U' L F L' U' L U L' F' L F<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> * y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3392 2009-05-29T00:06:37Z

<p>Shelley: /* R Permutation : a */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * y2 L2 U' L' U' L U L U L U' L<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * L2 U L U L' U' L' U' L' U L'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U' R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> * U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * y' x L2 D2 L' U' L D2 L' U L x'<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> * y R2 F2 (R' B' R) F2 (R' B R')<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * y2 x L U' L D2 L' U L D2 L2 x'<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> * y (R B' R) F2 (R' B R) F2 R2<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br /> * (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> * (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y' L' U' R U2 L' U L U2 L' R U<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br /> * R U2 R D R' U R D' R' U' R' U R U R' U'<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> * R' U2 R' D' R U' R' D R U R U' R' U' R U'<br /> * (y x) R2 U l U R U' l' U' l U2 R' U2 R<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * y2 L' U' L U L F' L2 U L U L' U' L F<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> * y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br /> * (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> * R' U2 R U2 L U' R' U L' U L U' R U L'<br /> * R' U2 R U2 L U' R' U r' F r U' R U r'<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * y F' L' U L U L' U' L F L' U' L U L' F' L F<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> * y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3362 2009-05-18T03:51:30Z

<p>Shelley: /* R Permutation : b */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * y2 L2 U' L' U' L U L U L U' L<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * L2 U L U L' U' L' U' L' U L'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U' R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> * U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * y' x L2 D2 L' U' L D2 L' U L x'<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> * y R2 F2 (R' B' R) F2 (R' B R')<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * y2 x L U' L D2 L' U L D2 L2 x'<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> * y (R B' R) F2 (R' B R) F2 R2<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y' L' U' R U2 L' U L U2 L' R U<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> * R' U2 R' D' R U' R' D R U R U' R' U' R U'<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * y2 L' U' L U L F' L2 U L U L' U' L F<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * y F' L' U L U L' U' L F L' U' L U L' F' L F<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=Road_to_Sub-15_Second_Averages&diff=3358 2009-05-05T22:45:19Z

<p>Shelley: /* Using the Fridrich Method */</p> <hr /> <div>Here we present some ideas as to how to break 15 seconds consistently with the Fridrich method.<br /> <br /> == Using the Fridrich Method ==<br /> Reaching 15-second averages may be obtained via the following tips -- to be performed in chronological order.<br /> <br /> # [[Beginner's Methods|Beginner's Method]]<br /> #* First learn how to solve the Rubik's cube using a tutorial, such as one in the [[Beginner's Methods]] section.<br /> #** Tip: Solve with your cross on the bottom or left (right if you're left handed), not the top. It ''will'' help you out later.<br /> #* Learn how to [[Lubrication|lubricate]] your cube.<br /> #* Use a timer, such as an [[Web-based Software#Web-based Timers|online timer]] or a [[PC Software#Standalone Timers|PC timer]] to see your progression.<br /> # Learn [[2-look OLL]] algorithms.<br /> # Learn [[2-look PLL]] algorithms.<br /> # Learn to do the [[F2L| First Two Layers (F2L)]] efficiently.<br /> #* Use a tutorial, such as [http://ca.youtube.com/watch?v=k-xbcAMfWwM Badmephisto's YouTube Tutorial on F2L].<br /> #* Your times will temporarily get worse, but after a few weeks of practicing, they will rapidly become better.<br /> #* Practice F2L -- practice a lot. There is no way around F2L, and you will have to master it to get very fast.<br /> # Learn full (1-look) [[PLL]].<br /> #* 21 algorithms to learn.<br /> #* At this point, consider buying a [[Cubes#Cubes|DIY Cube]]. Assuming look-ahead is good, focusing on speed might be important now.<br /> # Learn full (1-look) [[OLL]].<br /> #* 57 algorithms. Don't learn them too quickly, otherwise recognition will be impeded upon. But don't learn them too slowly; try to learn ''consistently''. Steady, slow or fast, will always win the race.<br /> # Look into [[advanced F2L techniques]], such as the [[extended cross]] (also known as ''X-cross''), or other extensions to the Fridrich Method, such as [[COLL]] for suitable LL cases..<br /> <br /> == External links ==<br /> For a more detailed description that closely parallels the one above, refer to one of the following pages written by members of the Speedsolving forum:<br /> * [http://www.cubefreak.net/speedcubing.html Macky's Guide]<br /> * [http://www.speedsolving.com/forum/showthread.php?t=6085 Speedsolving Forum's ''How to Get Faster using the Fridrich Method'' Guide]<br /> * [http://masterthecube.com/forums/index.php?topic=1008.0 Masterthecube Forum's ''From noober cuber to UBER CUBER'' guide]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=Road_to_Sub-15_Second_Averages&diff=3357 2009-05-05T22:44:51Z

<p>Shelley: /* Using the Fridrich Method */</p> <hr /> <div>Here we present some ideas as to how to break 15 seconds consistently with the Fridrich method.<br /> <br /> == Using the Fridrich Method ==<br /> Reaching 15-second averages may be obtained via the following tips -- to be performed in chronological order.<br /> <br /> # [[Beginner's Methods|Beginner's Method]]<br /> #* First learn how to solve the Rubik's cube using a tutorial, such as one in the [[Beginner's Methods]] section.<br /> #** Tip: Solve with your cross on the bottom or left, not the top. It ''will'' help you out later.<br /> #* Learn how to [[Lubrication|lubricate]] your cube.<br /> #* Use a timer, such as an [[Web-based Software#Web-based Timers|online timer]] or a [[PC Software#Standalone Timers|PC timer]] to see your progression.<br /> # Learn [[2-look OLL]] algorithms.<br /> # Learn [[2-look PLL]] algorithms.<br /> # Learn to do the [[F2L| First Two Layers (F2L)]] efficiently.<br /> #* Use a tutorial, such as [http://ca.youtube.com/watch?v=k-xbcAMfWwM Badmephisto's YouTube Tutorial on F2L].<br /> #* Your times will temporarily get worse, but after a few weeks of practicing, they will rapidly become better.<br /> #* Practice F2L -- practice a lot. There is no way around F2L, and you will have to master it to get very fast.<br /> # Learn full (1-look) [[PLL]].<br /> #* 21 algorithms to learn.<br /> #* At this point, consider buying a [[Cubes#Cubes|DIY Cube]]. Assuming look-ahead is good, focusing on speed might be important now.<br /> # Learn full (1-look) [[OLL]].<br /> #* 57 algorithms. Don't learn them too quickly, otherwise recognition will be impeded upon. But don't learn them too slowly; try to learn ''consistently''. Steady, slow or fast, will always win the race.<br /> # Look into [[advanced F2L techniques]], such as the [[extended cross]] (also known as ''X-cross''), or other extensions to the Fridrich Method, such as [[COLL]] for suitable LL cases..<br /> <br /> == External links ==<br /> For a more detailed description that closely parallels the one above, refer to one of the following pages written by members of the Speedsolving forum:<br /> * [http://www.cubefreak.net/speedcubing.html Macky's Guide]<br /> * [http://www.speedsolving.com/forum/showthread.php?t=6085 Speedsolving Forum's ''How to Get Faster using the Fridrich Method'' Guide]<br /> * [http://masterthecube.com/forums/index.php?topic=1008.0 Masterthecube Forum's ''From noober cuber to UBER CUBER'' guide]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3350 2009-05-03T18:43:33Z

<p>Shelley: /* U Permutation : b */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U' R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> * U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3344 2009-05-03T08:16:36Z

<p>Shelley: /* Z Permutation */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> * U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3343 2009-05-03T08:11:19Z

<p>Shelley: L R U2 x U&#039; D&#039; x&#039; y U2 L R is not an H perm. I don&#039;t know where they were going with this.</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3342 2009-05-03T08:00:51Z

<p>Shelley: /* R Permutation : a */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * L R U2 x U' D' x' y U2 L R<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=PLL&diff=3341 2009-05-03T07:59:38Z

<p>Shelley: /* R Permutation : a */</p> <hr /> <div>__NOTOC__<br /> '''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br /> {{PLL}}<br /> <br /> Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br /> <br /> ==Permutations of Edges Only==<br /> This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br /> <br /> ===H Permutation===<br /> <br /> [[Image:h.gif]]<br /> <br /> * M2 U' M2 U2' M2 U' M2<br /> * R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br /> * U' M2 U2 M2 U M2 U2 M2<br /> * F2 M2 F2 U' F2 M2 F2 U<br /> * x U2 M2 U2 B' U2 M2 U2 B<br /> * R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br /> * L R U2 L' R' F' B' U2 F B<br /> * L R U2 x U' D' x' y U2 L R<br /> * R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br /> * R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br /> * M2 U M2 U M2 U M2 U M2 U M2 U'<br /> <br /> ===U Permutation : a===<br /> <br /> [[Image:u1.gif]]<br /> <br /> * y2 M2 U M U2 M' U M2<br /> * M2 U M' U2 M U M2<br /> * R2 U' R' U' R U R U R U' R<br /> * B2 U' M' U2 M U' B2<br /> * y2 R U' R U R U R U' R' U' R2<br /> * M2 U M' U2 M U2 M' U2 M U M2<br /> * y R2 U' y r U2 r' R U2 R' y' U' R2<br /> * R U R' U' L' U' L U2 R U' R' U' L' U L<br /> <br /> ===U Permutation : b===<br /> <br /> [[Image:u.gif]]<br /> <br /> * y2 M2 U' M U2 M' U' M2<br /> * M2 U' M' U2 M U' M2<br /> * R' U R' U' R' U' R' U R U R2<br /> * B2 U M' U2 M U B2<br /> * y2 R2 U R U R' U' R' U' R' U R'<br /> * R U' R U R U R' U' R' U' R' U2 R'<br /> * M2 U' M' U2 M U2 M' U2 M U' M2<br /> * L' U' L U R U R' U2 L' U L U R U R'<br /> <br /> ===Z Permutation===<br /> <br /> [[Image:z.gif]]<br /> * x' R U' R' U D R' D U' R' U R D2' F x<br /> * x M2 U M2 U M' U2 M2 U2 M' U2<br /> * y M2' U' M' U2' M2' U2' M' U M2'<br /> * U R' U' R U' R U R U' R' U R U R2 U' R' U<br /> * R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * y' M2 U2 M' U' M2 U' M2 U' M' U<br /> * R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br /> * R' U L' E2 L U' R L' U R' E2 R U' L'<br /> * y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br /> * M' U M2 U M2 U M' U2 M2 U'<br /> * U' l' U R U' D' R U D' R U' R' D2<br /> * d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br /> * M2 U' M E2 M E2 U M2<br /> * F2 M2 F2 M2 U M2 U M2 U2<br /> <br /> ==Permutations of Corners Only==<br /> <br /> ===A Permutation : a===<br /> <br /> [[Image:a1.gif]]<br /> <br /> * x R' U R' D2 R U' R' D2 R2<br /> * (L' B L') (F2 L B' L') (F2 L2)<br /> * y2 z F2 R U2 R' U2 F2 L' U2 L U2<br /> * y z' U2 R U2 R' F2 U2 L' U2 L F2<br /> * R' U2 R2 U' L' U R' U' L U R' U2 R<br /> <br /> ===A Permutation : b===<br /> <br /> [[Image:a.gif]]<br /> <br /> * y' x R2 D2 R U R' D2 R U' R<br /> * (R B' R) F2 (R' B R) (F2 R2)<br /> * y z U2 L' U2 L F2 U2 R U2 R' F2<br /> * z' F2 L' U2 L U2 F2 R U2 R' U2<br /> * y' R' U2 R U' L' U R U' L U R2 U2 R<br /> * (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br /> * z (U R' D r2 U') (R U r2' U') (D')<br /> <br /> ===E Permutation===<br /> <br /> [[Image:e.gif]]<br /> <br /> * x U R' U' L U R U' L' U R U' L U R' U' L'<br /> * y x' R U' R' D R U R' D2 L' U L D L' U' L<br /> * x U R' U' L U R U' r2' U' R U L U' R' U<br /> * y x R U' R' D R U R' u2 R' U R D R' U' R<br /> * l' U' L' U R U' l U R' U' L U R U' l' U<br /> * (r' R' U') (L D' L' U L) (R U' R' D R) U<br /> * r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br /> * x' U' R U L' U' R' U r2 U R' U' r' F R F'<br /> * y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br /> * R' U L' D2 L U' R L' U R' D2 R U' L<br /> <br /> ==Permutations of Edges and Corners==<br /> <br /> ===F Permutation===<br /> <br /> [[Image:f.gif]]<br /> <br /> * R U' R' U R2 y R U R' U' x U' R' U R U2<br /> * yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br /> * R' U R U' R2 F' U' F U x R U R' U' R2 B'<br /> * R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br /> * y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br /> * R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br /> * y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br /> <br /> ===G Permutation : a===<br /> <br /> [[Image:g3.gif]]<br /> <br /> * R2' u R' U R' U' R u' R2 y' R' U R<br /> * y R2 D B' U B' U' B D' R2 F' U F<br /> * R L U2 R' L' (y') R' U L' U2 R U' L<br /> <br /> ===G Permutation : b===<br /> <br /> [[Image:g2.gif]]<br /> <br /> * y L' U' L y' R2' u R' U R U' R u' R2<br /> * R' U' R B2 D L' U L U' L D' B2<br /> * (y') R' U L' U2 R U' L (y) R L U2 L' R'<br /> <br /> ===G Permutation : c===<br /> <br /> [[Image:g1.gif]]<br /> <br /> * y R2' u' R U' R U R' u R2 B U' B'<br /> * R U R' F2 D' L U' L' U L' D F2<br /> * L' R' U2 L R (y) L U' R U2 L' U R'<br /> <br /> ===G Permutation : d===<br /> <br /> [[Image:g.gif]]<br /> <br /> * y L U' R U2 L' U R' y (R' L') U2 (R L)<br /> * y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br /> * F2 D' L U' L U L' D F2 R U' R'<br /> * (l' U' U' L' U l F') (U' L U F R' F R)<br /> * (y) L U' R U2 L' U R' (y') L' R' U2 L R<br /> <br /> ===J Permutation : a===<br /> <br /> [[Image:j1.gif]]<br /> <br /> * y2 R' U2 R U R' z' R2' U R' D R U'<br /> * y2 L' R' U2 R U R' U2 L U' R U<br /> * y2 F2 L' U' r U2 l' U R' U' R2<br /> * y2 R' U2 R U R' U2' L U' R U L'<br /> * R U' L' U R' U2 L U' L' U2' L<br /> * R L d2 R' U' R d2 R' U L'<br /> * (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br /> * L' U R' U2 L U' R U L' U R' U2 L U' R<br /> * L' U2 L U L' U2 R U' L U R'<br /> * L' U' L F L' U' L U L F' L2 U L U<br /> <br /> ===J Permutation : b===<br /> <br /> [[Image:j.gif]]<br /> <br /> * R U2 R' U' R U2 L' U R' U' L<br /> * y2 R L U2 L' U' L U2 R' U L' U'<br /> * (R U R' F') (R U R' U' R') F (R2 U' R' U')<br /> * y2 F2' R U R' y r2 y' R U' R U R2'<br /> * L' U R U' L U2 R' U R U2' R'<br /> * y2 r2 U' L' U r' U2 R B' R' U2<br /> * (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br /> * L' U R' U2 L U' L' U2 R L<br /> <br /> ===N Permutation : a===<br /> <br /> [[Image:n1.gif]]<br /> <br /> * z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br /> * y' L U' R U2 L' U R' L U' R U2 L' U R'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * L U' L' U L F U F' L' U' L F' L F L' U L'<br /> * R' U L' U2 R U' L R' U L' U2 R U' L<br /> * R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> * R U' R' U l U F U' R' F' R U' R U l' U R'<br /> * y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br /> * R U' L d2 L' U L R' U' R U2 L' U R U'<br /> * F' R U R' U' R' F R2 F U' R' U' R U F' R'<br /> <br /> ===N Permutation : b===<br /> <br /> [[Image:n.gif]]<br /> <br /> * z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br /> * L' U R' U2' L U' L' R U R' U2' L U' R U'<br /> * R' U R U' R' F' U' F R U R' F R' F' R U' R<br /> * z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br /> * L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br /> * L' U L U' r' U' F' U L F L' U L' U' r U' L<br /> * L U' R U2 L' U R' L U' R U2 L' U R' U'<br /> <br /> ===R Permutation : a===<br /> <br /> [[Image:r1.gif]]<br /> <br /> * y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br /> * y' R2 B' R' U' R' U R B R' U2 R U2 R'<br /> * R U2 R' U2 R B' R' U' R U R B R2' U<br /> * R U2 R' U2 R B' R' U' R U l U R2 F<br /> * U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br /> * R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br /> * R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br /> * y2 L U2 L' U2 L F' L' U' L U L F L2 U<br /> <br /> ===R Permutation : b===<br /> <br /> [[Image:r.gif]]<br /> <br /> * R' U2 R U2 R' F R U R' U' R' F' R2' U'<br /> * y R2 B2 U' R' U' R U R U B2 R U' R U<br /> * R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br /> * y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br /> <br /> ===T Permutation===<br /> <br /> [[Image:t.gif]]<br /> <br /> * R U R' U' R' F R2 U' R' U' R U R' F'<br /> * F R U' R' U R U R2 F' R U R U' R'<br /> * L2 U' L2 D F2 R2 U R2 D' F2<br /> * R2 U' R2 D B2 L2 U L2 D' B2<br /> * R2' u' R2 U R2' y R2 u R2' U' R2<br /> * R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br /> <br /> ===V Permutation===<br /> <br /> [[Image:V.gif]]<br /> <br /> * R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br /> * R' U R' U' B' D B' D' B2 R' B' R B R<br /> * R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br /> * y L' U R U' L U L' U R' U' L U2 R U2 R'<br /> * y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br /> * y' R' U L U' R U R' U L' U' R U2 L U2 L'<br /> * L U' R' U L' U' L U' R U L' U2 R' U2 R<br /> * R' U R' d' R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br /> * R' U R' U' y R' F' R2 U' R' U R' F R F<br /> * R' U R' U' y R' D R' D' R2 F' R' F R F<br /> <br /> ===Y Permutation===<br /> <br /> [[Image:Y.gif]]<br /> <br /> * R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br /> * F R U' R' U' R U R' F' R U R' U' R' F R F'<br /> * F R U' R' F D R' y x R' U' R z R2 y L' d2<br /> * z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br /> * F R' F' R U R U' R2 U' R U l U' R' U<br /> * z U2 R U R' U' R y R U L' U L U R' U'<br /> * R' U' R F2 R' U R U y' R2 U' R2' U' R2<br /> * F R U' R' U' R d R U R' B' R U' R2<br /> * R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br /> <br /> &lt;br&gt;{{PLL}}<br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:Cubing abbreviations and acronyms]]<br /> [[Category:Algorithms]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=List_of_PC_cubing_software&diff=2524 2008-11-12T23:25:05Z

<p>Shelley: /* Standalone Timers */</p> <hr /> <div>== Description ==<br /> A very popular category of Rubik's cube software is the playable 3D Rubik's Cube (animated cube), often implemented as a Java applet, which has a long history. The first version of which many current programs are derived was made by Michael Shubart. After that, Karl Hornell made modifications in his version, which again was used by Lars Petrus on his website. Probably the most widely used is RubikPlayer by Werner Randelshofer.<br /> <br /> == Standalone Timers ==<br /> * [http://vanderblonk.com/cube/download/rtt/About.htm RubikTimer] - (Windows)<br /> * [http://www.strangepuzzle.com/jnetcube.html JNetCube] - (Java)<br /> * [http://code.google.com/p/rubiks-jtimer/ JTimer] - New version of JNetCube (Java)<br /> * [http://vanderblonk.com/cube/cubetimer.htm CubeTimer] - Timer with animation<br /> * [http://gnehzr.net/cct/ CALCubeTimer 0.9] - Interfaces with a stackmat through the microphone port<br /> * [http://soft.imolecule.net/?lang=en iMolecule Soft DarkCube] - Timer in Thai and English under CC By-NC-SA 3.0 license<br /> <br /> == Solvers ==<br /> * [http://software.rubikscube.info/JACube/index.html ACube] - Fast solver written by Josef Jelinek, and is able to ignore pieces and specify different metrics upon loading. (Java, freeware, command-line based)<br /> * [http://kociemba.org/cube.htm Cube Explorer] - Fast solver written by Kociemba with his algorithm (Windows, freeware, graphical)<br /> * [http://www.geocities.com/jaapsch/puzzles/cubie.htm Cubie] - Solver with animation (Java, freeware)<br /> * [http://www.wrongway.org/?rubik Rubik's Cube Solver by Eric Dietz] - (Windows/Linux, GPL)<br /> * [http://www.svekub.se/files/ksolve.zip ksolve] - A general puzzle solver by Kare Krig. Uses a written definition file and scramble file, and is much slower than dedicated solvers. (Windows, freeware, command-line based)<br /> * [http://www.ganpuzzle.com/vcube333demo.htm Learn to Solve Rubik's Cube with 3 Simple Tricks] - Step-by-step interactive animated solution (Java)<br /> * [http://www.ganpuzzle.com/hints3x3.htm Rubik's Solution Hints Booklet Step Animation] - Step-by-step interactive animated solution based on official booklet (Java)<br /> <br /> == Cube Simulators ==<br /> * [http://www.ultimatemagiccube.com Ultimate Magic Cube] - (Windows). Megaminx, pyraminx and much more<br /> * [http://gabbasoft.com/ Gabbasoft] - (Windows) A collection of NxNxN puzzles 2-20, and with [[supercube]]s<br /> * [http://www.glidingcube.com GlidingCube] - (Windows) A virtual cube puzzle. Intriguing but cannot be built physically.<br /> * [http://mzrg.com/java/IsoCubeSim/index.shtml IsoCubeSim] - (Java) A cube puzzle simulator which supports not only NxNxN puzzles (of any size), but arbitrary cuboids as well.<br /> * [http://www.superliminal.com/cube/cube.htm 4D Cube] - (Java)<br /> * [http://www.gravitation3d.com/magiccube5d/ 5D Cube] - (Windows)<br /> * [http://sourceforge.net/projects/rubiksim/ RubikSim] - (Windows) <br /> * [http://www.network54.com/Forum/178387/message/1191974095/ QBASIC Rubik's Cube] - (DOS/Windows) At 26,375 bytes (25.7 KB), the smallest Rubik's cube on PC<br /> * [http://www.leinweb.com/snackbar/cube/index.htm Hungarian HexaHedron ]- (Windows) It is amazing for FMC. Records your solution as you go.</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=List_of_Master_Magic_methods&diff=2474 2008-11-12T07:17:30Z

<p>Shelley: /* Tutorials */</p> <hr /> <div>== Tutorials ==<br /> There are two main methods for master magic:<br /> * The Pochmann method, forever immortalized in his awesome tutorial video [http://www.youtube.com/watch?v=W8rNspyU6Ig]. This used to be the best known method; not the fastest way to go, but you can definitely get under 3 seconds with this. There are ways to optimize it a little beyond this video. Helmet is optional.<br /> * The Ooms method, which is shown slowly in [http://www.youtube.com/watch?v=Qo5nazWsLq8]. This method can be very fast but it's a bit trickier than Pochmann and you need a good puzzle to do it properly. Pretty much all of the solves under 2 seconds will be with this method (regular or mirrored), for example [http://www.youtube.com/watch?v=btbK53t_Qsk].<br /> <br /> == Other Stuff ==</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=User:Shelley&diff=2394 2008-11-08T22:15:18Z

<p>Shelley: </p> <hr /> <div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;1&quot; <br /> | bgcolor=&quot;#808080&quot; |<br /> {| border=&quot;0&quot; align=&quot;center&quot; cellspacing=&quot;0&quot; cellpadding=&quot;2&quot; width=&quot;280px&quot;<br /> | width=&quot;30px&quot; |[[Image:Roux solved.jpg|30px]]<br /> | bgcolor=&quot;#F0F0FF&quot; align=&quot;center&quot; |I solve the [[3x3x3 Cube]] [[blindfolded]]. <br /> |-<br /> | bgcolor=&quot;#FFFFE0&quot; colspan=&quot;2&quot; |Best time: 1:01.31<br /> |}<br /> |}<br /> <br /> [[Category:Usr:3x3 BLD|{{PAGENAME}}]]<br /> <br /> &lt;div style=&quot;float: left; border: 1px solid #990000; margin: 1px;&quot;&gt;<br /> {| cellspacing=&quot;0&quot; style=&quot;width: 238px; background: #CCFFCC;&quot;<br /> | style=&quot;width: 45px; height: 45px; background: #FFFFFF; text-align: center; font-size: 20pt;&quot; | '''#'''<br /> | style=&quot;font-size: 8pt; padding: 4pt;&quot; | This user is a member of [[Rubik IRC Channel|Team #]].<br /> |}&lt;/div&gt;<br /> <br /> [[Category:Usr:TeamNumberSign|{{PAGENAME}}]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=User:Shelley&diff=2393 2008-11-08T22:14:56Z

<p>Shelley: </p> <hr /> <div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;1&quot; <br /> | bgcolor=&quot;#808080&quot; |<br /> {| border=&quot;0&quot; align=&quot;center&quot; cellspacing=&quot;0&quot; cellpadding=&quot;2&quot; width=&quot;280px&quot;<br /> | width=&quot;30px&quot; |[[Image:Roux solved.jpg|30px]]<br /> | bgcolor=&quot;#F0F0FF&quot; align=&quot;center&quot; |I speedsolve the [[3x3x3 Cube]] [[blindfolded]]. <br /> |-<br /> | bgcolor=&quot;#FFFFE0&quot; colspan=&quot;2&quot; |Best time: 1:01.31<br /> |}<br /> |}<br /> <br /> [[Category:Usr:3x3 BLD|{{PAGENAME}}]]<br /> <br /> &lt;div style=&quot;float: left; border: 1px solid #990000; margin: 1px;&quot;&gt;<br /> {| cellspacing=&quot;0&quot; style=&quot;width: 238px; background: #CCFFCC;&quot;<br /> | style=&quot;width: 45px; height: 45px; background: #FFFFFF; text-align: center; font-size: 20pt;&quot; | '''#'''<br /> | style=&quot;font-size: 8pt; padding: 4pt;&quot; | This user is a member of [[Rubik IRC Channel|Team #]].<br /> |}&lt;/div&gt;<br /> <br /> [[Category:Usr:TeamNumberSign|{{PAGENAME}}]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=User:Shelley&diff=2392 2008-11-08T22:13:28Z

<p>Shelley: New page: &lt;div style=&quot;float: left; border: 1px solid #990000; margin: 1px;&quot;&gt; {| cellspacing=&quot;0&quot; style=&quot;width: 238px; background: #CCFFCC;&quot; | style=&quot;width: 45px; height: 45px; background: #FFFFFF; te...</p> <hr /> <div>&lt;div style=&quot;float: left; border: 1px solid #990000; margin: 1px;&quot;&gt;<br /> {| cellspacing=&quot;0&quot; style=&quot;width: 238px; background: #CCFFCC;&quot;<br /> | style=&quot;width: 45px; height: 45px; background: #FFFFFF; text-align: center; font-size: 20pt;&quot; | '''#'''<br /> | style=&quot;font-size: 8pt; padding: 4pt;&quot; | This user is a member of [[Rubik IRC Channel|Team #]].<br /> |}&lt;/div&gt;<br /> <br /> [[Category:Usr:TeamNumberSign|{{PAGENAME}}]]</div>

Shelley https://www.speedsolving.com/wiki/index.php?title=Square-1_methods&diff=1848 2008-10-13T17:39:17Z

<p>Shelley: /* Links: */</p> <hr /> <div>== Square-1 Speedsolving Methods ==<br /> <br /> The Square-1 is a interesting puzzle- the concepts of other puzzles can be applied to it, however, it is unique in that corners and edges are indistinguishable to the puzzle's inner mechanism- meaning corners can be swapped with edges and therefore the puzzle can change shape. The puzzle is much easier to work with when it is in the shape of a cube so generally the first step is to somehow (there are several methods) get the pieces arranged so that the puzzle is cubic. Then, the pieces are separated into their correct layers, and permuted. Note that there is no possible incorrect orientation for pieces, since the middle layer can only rotate through 180 degrees at a time. <br /> <br /> === Links: ===<br /> <br /> * [http://www.cubezone.be/square1.html Lars Vandenbergh's Square-1 Page] - This method has been used to set most Square-1 world records.<br /> * [http://www.geocities.com/jaapsch/puzzles/square1.htm Jaap's Square-1 Page] - Information about Square-1, and algorithms for several solutions.<br /> * [http://shellie.nfshost.com/cube/square1.php Shellie's Sillie Square-1 Method] - A simple, intuitive Square-1 solution.<br /> * [http://sinac.orgfree.com/square-1/beginner/overview.php SinaC's Square-1 Page] - Beginner-&gt;Intermediate-&gt;Advanced methods</div>

Shelley