https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=Xitvono Speedsolving.com Wiki - User contributions [en] 2026-10-28T17:05:09Z User contributions MediaWiki 1.43.8 https://www.speedsolving.com/wiki/index.php?title=OLL&diff=26738 OLL 2015-08-05T23:57:45Z <p>Xitvono: /* OLL 41 */</p> <hr /> <div>{{Substep Infobox<br /> |name=OLL<br /> |image=OLLinfo.png<br /> |proposers=<br /> |year=<br /> |anames=<br /> |variants=<br /> |subgroup=&lt;nowiki&gt;&lt;/nowiki&gt;<br /> |algs=57<br /> |moves=9.7 [[HTM]]<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> |previous=[[F2L cube state]]<br /> |next=[[OLL cube state]]<br /> |previousimage=[[Image:F2L_higlight.jpg|120px|left|link=F2L cube state]]<br /> |nextimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br /> <br /> }}<br /> '''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].<br /> <br /> == Terminology ==<br /> '''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].<br /> <br /> == See also ==<br /> * [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&amp;view=default&amp;puzzle=3&amp;group=OLL OLL Algorithm Database]<br /> * [[OLL (2x2x2)]]<br /> * [[2-Look OLL]]<br /> * [[PLL]]<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)<br /> &lt;br&gt;{{OLL}}<br /> * [https://www.youtube.com/watch?v=yB9zI1UkODc Video series on most commonly used OLLs on youtube] by CUBE PORTAL<br /> <br /> =OLL Algorithms=<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 /> {{Algnote}}<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 /> {{OCLL}}<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 /> === OLL 1 ===<br /> {{case<br /> |image=o1.gif<br /> |name=Runway, Blank<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}<br /> {{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}<br /> {{Alg|(y) R U' R2 D' r U' r' D R2 U R'|OLL}}<br /> <br /> === OLL 2 ===<br /> {{case<br /> |image=o2.gif<br /> |name=zamboni<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 3 ===<br /> {{case<br /> |image=o3.gif<br /> |name=Anti-Nazi, Anti-Mouse<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) r' R2 U R' U r U2 r' U M'|OLL}}<br /> {{Alg|(M'U) (r'U2 r U) (R' U R2 r')|OLL}}<br /> |<br /> <br /> === OLL 4 ===<br /> {{case<br /> |image=o4.gif<br /> |name= Nazi, Mouse<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 17 ===<br /> {{case<br /> |image=o17.gif<br /> |name= slash, diagonal<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}<br /> {{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}<br /> {{Alg|(y2) (F R' F' R2 r' U) (R U' R' U' M')|OLL}}<br /> <br /> === OLL 18 ===<br /> {{case<br /> |image=o18.gif<br /> |name= Crown<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y') r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br /> {{Alg|(y) 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|(y2) (R' F R F') U2 (R' F R F') (U F' U F) |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 /> {{Alg|(y2) (F R U' R' U' R U R' F') U' (F R U R' U' F') |OLL}}<br /> {{Alg|(y') (M' U M U2 M' U M) U (f R U R' U' f') |OLL}}<br /> <br /> === OLL 19 ===<br /> {{case<br /> |image=o19.gif<br /> |name= Bunny<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br /> {{Alg|M U R U R' U' M' R' F R F'|OLL}}<br /> {{Alg|M U R U R' U' r R2' F R F'|OLL}}<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|(y2) M' U' R' U' R U r' R2 B' R' B|OLL}}<br /> {{Alg|(y2) M' U L U L' U' l L2 B L B'|OLL}}<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 /> {{case<br /> |image=o31.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R' U' F U R U' R' F' R|OLL}}<br /> {{Alg|(y) (F R' F' R) (U R U R') (U' R U' R')|OLL}}<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|L' U' B U L U' L' B' L|OLL}}<br /> {{Alg|(y') (S R U R' U' Fw' U' F)|OLL}}<br /> {{Alg|(y) M' U' L' U' L F U F' L' U l|OLL}}<br /> {{Alg|(y2) (L' U' L U) (R U R' U') M' U' L' U2 R U' (x')|OLL}}<br /> |<br /> <br /> === OLL 32 ===<br /> {{case<br /> |image=o32.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> <br /> {{Alg|R U B' U' R' U R B R'|OLL}}<br /> {{Alg|(y2) x' R U R' D R U' R U' R' U R' D' x|OLL}}<br /> {{Alg|(y2) F U R U' F' r U R' U' r'|OLL}}<br /> {{Alg|R U x' U' F' R' F R U R'|OLL}}<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 U2 R' U' F' U F R U' R'|OLL}}<br /> {{Alg|l F U' F' R' F R U l'|OLL}}<br /> {{Alg|(y) M' U R U R' F' U' F R U' r'|OLL}}<br /> {{Alg|(y2) L U F' U' L' U L F L'|OLL}}<br /> {{Alg|(y2) (R U R' U') (L' U' L U) M' U R U2 L' U x'|OLL}}<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 43 ===<br /> {{case<br /> |image=o43.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y) R' U' F' U F R|OLL}}<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|(y2) U R U R' F' L' U' L F|OLL}}<br /> {{Alg|(y2) R' U' F R' F' R U R|OLL}}<br /> {{Alg|(y') R U l' U' r' U' r U x'|OLL}}<br /> <br /> |<br /> <br /> === OLL 44 ===<br /> {{case<br /> |image=o44.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o36.gif<br /> |name=Sea-Mew, Wario<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}<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 /> {{Alg|(R U R' U' F') (U2' F U) (R U R')|OLL}}<br /> <br /> === OLL 38 ===<br /> {{case<br /> |image=o38.gif<br /> |name=Mario<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R U R' U R U' R' U' R' F R F'|OLL}}<br /> {{Alg|L U L' U L U' L' U' L' B L B'|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 /> {{case<br /> |image=o48.gif<br /> |name=Breakneck<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o47.gif<br /> |name=Anti-Breakneck<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|R' U' x (R' U R U')2 x' U R|OLL}}<br /> <br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 53 ===<br /> {{case<br /> |image=o53.gif<br /> |name=Frying Pan<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o54.gif<br /> |name=Anti-Frying Pan<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}<br /> {{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 49 ===<br /> {{case<br /> |image=o49.gif<br /> |name= right back squeezy<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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 /> <br /> === OLL 50 ===<br /> {{case<br /> |image=o50.gif<br /> |name= right front squeezy<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}<br /> {{Alg|(y2) (r U R U' r') (F R' U R U' R' F')|OLL}}<br /> {{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|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') F' R U2 R' U2 R' F2 R F'|OLL}}<br /> {{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}<br /> {{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}<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 /> {{case<br /> |image=o34.gif<br /> |name= City (C and T)<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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' l' U R d' D|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 /> {{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 46 ===<br /> {{case<br /> |image=o46.gif<br /> |name= Seein' Headlights(C and headlights)<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<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 /> <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 /> {{case<br /> |image=o33.gif<br /> |name= Tying Shoelaces, Key<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(R U R' U') (R' F R F')|OLL}}<br /> {{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}<br /> {{Alg|R' U' R U l U' R' U x|OLL}}<br /> {{Alg|R U R' F' U' F R U' R'|OLL}}<br /> |<br /> <br /> === OLL 45 ===<br /> {{case<br /> |image=o45.gif<br /> |name= Suit up, T<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o55.gif<br /> |name= Highway<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}<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) F U' R2 D R' U2 R D' R2' U 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 /> {{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}<br /> {{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}<br /> {{Alg|(y) r U2 R' U' M 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 /> === OLL 56 ===<br /> {{case<br /> |image=o56.gif<br /> |name= Streetlights, Dead Man<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<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 U r' U R U' R' M' U R U2 r'|OLL}}<br /> {{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}<br /> {{Alg|l U l' (U L U' L')2 l U' l|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 51 ===<br /> {{case<br /> |image=o51.gif<br /> |name=Bottlecap, Ant<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y') R' U2 R U R' F R' F' R U R |OLL}}<br /> <br /> <br /> |<br /> <br /> === OLL 52 ===<br /> {{case<br /> |image=o52.gif<br /> |name= rice cooker<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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|R' U' R U' R' U F' U F R|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 /> {{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}<br /> {{Alg|(y') F R U R' U F' U' F U' 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 /> {{case<br /> |image=o5.gif<br /> |name= right back wide antisune(RBWAS), Lefty Square<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<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) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}<br /> {{Alg|(y2) l' U2 L U L' U l|OLL}}<br /> {{Alg|(y) x' U' l2 U l F' l U|OLL}}<br /> |<br /> <br /> === OLL 6 ===<br /> {{case<br /> |image=o6.gif<br /> |name= right front wide antisune(RFWAS), Righty Square<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o39.gif<br /> |name=Fung<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L F' L' U' L U F U' L'|OLL}}<br /> {{Alg|(y2) l U' l' U' R U B U' R'|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 /> {{Alg|(y2) F R U R' U' R U R' U' R U' R' U' R U R' F'|OLL}}<br /> <br /> |<br /> <br /> === OLL 40 ===<br /> {{case<br /> |image=o40.gif<br /> |name=Anti-Fung<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o7.gif<br /> |name=wide sune, lightning<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U R U2 r'|OLL}}<br /> {{Alg|(y) B L F' L F L2 B'|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 /> {{case<br /> |image=o8.gif<br /> |name= left wide sune(LWS) or right back wide sune(RBWS), reverse lightning<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|l' U' L U' L' U2 l|OLL}}<br /> {{Alg|(y2) r' U' R U' R' U2 r|OLL}}<br /> {{Alg|(y') B' R' F R' F' R2 B|OLL}}<br /> {{Alg|R U2 R' U2 R' F R F'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 11 ===<br /> {{case<br /> |image=o11.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' R2 U R' U R U2 R' U M'|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|(y) R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 12 ===<br /> {{case<br /> |image=o12.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|F (R U R' U') F' U 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 /> {{Alg|(y') M' R' U' R U' R' U2 R U' M|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 /> {{case<br /> |image=o9.gif<br /> |name=Kite<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<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 /> {{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) L' U' L y l U' l' U l U l'|OLL}}<br /> {{Alg|R' U' R U' R' U R' F R F' U R|OLL}}<br /> {{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}<br /> <br /> |<br /> <br /> === OLL 10 ===<br /> {{case<br /> |image=o10.gif<br /> |name=Anti-Kite<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(R' M' U2) (R U R' U) (R U R r')|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 35 ===<br /> {{case<br /> |image=o35.gif<br /> |name= fish salad<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br /> {{Alg|R U B' R B R2 U R U2 R'|OLL}}<br /> {{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}<br /> {{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}<br /> {{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}<br /> <br /> |<br /> <br /> === OLL 37 ===<br /> {{case<br /> |image=o37.gif<br /> |name=mounted fish/ untying showlaces<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<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) R' F R F' y' U' R' U R|OLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|OLL}}<br /> {{Alg|(y) M' U R U' r' d' L' U L|OLL}}<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|R B' R' B U B U' B'|OLL}}<br /> {{Alg|R U R' F' U F R U' R'|OLL}}<br /> {{Alg|(y') r2 D' r U' r' D r U r|OLL}}<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 /> {{case<br /> |image=o13.gif<br /> |name=Gun, Trigger<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}<br /> |<br /> <br /> === OLL 14 ===<br /> {{case<br /> |image=o14.gif<br /> |name=Anti-Gun, Anti-Trigger<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br /> {{Alg|l' U l U l' U' l 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' L' U L F L' U' L x y' L U' L'|OLL}}<br /> {{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}<br /> {{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 15 ===<br /> {{case<br /> |image=o15.gif<br /> |name=Squeegee<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o16.gif<br /> |name=Anti-Squeegee<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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|l U l' L U L' U' l U' l'|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 /> {{case<br /> |image=o29.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br /> {{Alg|r2 D' r U r' D r2 U' r' U' 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|(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|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br /> {{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}<br /> {{Alg|(y') (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}<br /> |<br /> <br /> === OLL 30 ===<br /> {{case<br /> |image=o30.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br /> {{Alg|f R U R2 U' R' U R2 U' R' f'|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|l U' R' U l' U2 R d L U L'|OLL}}<br /> {{Alg|R B' R' B R' U2 R U y R U R'|OLL}}<br /> {{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}<br /> {{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}<br /> {{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}<br /> {{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}<br /> {{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}<br /> {{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}<br /> {{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}<br /> {{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}<br /> {{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 41 ===<br /> {{case<br /> |image=o41.gif<br /> |name= Awkward Fish<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) M' R' F' U' F U R U' M|OLL}}<br /> {{Alg|R' M2 U' F' U F r U' M'|OLL}}<br /> {{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}<br /> {{Alg|(y') r U2 R' U' R U' r' U' R U R' U R U2 R'|OLL}}<br /> |<br /> <br /> === OLL 42 ===<br /> {{case<br /> |image=o42.gif<br /> |name= Lefty Awkward Fish<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) M' U f U R U' R' f' M|OLL}}<br /> {{Alg| (M R) (f R f') (U' R' U M')|OLL}}<br /> {{Alg|(M U) (F R U R' U' F') M'|OLL}}<br /> {{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}<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 /> {{case<br /> |image=o28.gif<br /> |name=Stealth, Arrow, Arrowhead, Fish<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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|U2 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 /> {{Alg|(y') M U R U R' U' M' U R U' R' |OLL}}<br /> |<br /> <br /> === OLL 57 ===<br /> {{case<br /> |image=o57.gif<br /> |name=Mummy, H, I, Brick<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}<br /> {{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}<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' U M' U2 M' U 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 /> === OLL 20 ===<br /> {{case<br /> |image=o20.gif<br /> |name=X, Checkers<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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|x U R' U' M2 U R U' M' x' 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 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|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|S' U' S2 U R' U' R' S' R U R|OLL}}<br /> {{Alg|(M U)4 (M' U)4|OLL}}<br /> {{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}<br /> {{Alg|(M' U)4 y2 (M' U) 4|OLL}}<br /> <br /> &lt;br&gt;{{OLL}}<br /> <br /> [[Category:3x3x3 last layer substeps]]<br /> [[Category:Acronyms]]<br /> [[Category:Algorithms]]<br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=OLL&diff=26737 OLL 2015-08-05T23:55:39Z <p>Xitvono: /* OLL 41 */</p> <hr /> <div>{{Substep Infobox<br /> |name=OLL<br /> |image=OLLinfo.png<br /> |proposers=<br /> |year=<br /> |anames=<br /> |variants=<br /> |subgroup=&lt;nowiki&gt;&lt;/nowiki&gt;<br /> |algs=57<br /> |moves=9.7 [[HTM]]<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> |previous=[[F2L cube state]]<br /> |next=[[OLL cube state]]<br /> |previousimage=[[Image:F2L_higlight.jpg|120px|left|link=F2L cube state]]<br /> |nextimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]<br /> <br /> }}<br /> '''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].<br /> <br /> == Terminology ==<br /> '''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].<br /> <br /> == See also ==<br /> * [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&amp;view=default&amp;puzzle=3&amp;group=OLL OLL Algorithm Database]<br /> * [[OLL (2x2x2)]]<br /> * [[2-Look OLL]]<br /> * [[PLL]]<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)<br /> &lt;br&gt;{{OLL}}<br /> * [https://www.youtube.com/watch?v=yB9zI1UkODc Video series on most commonly used OLLs on youtube] by CUBE PORTAL<br /> <br /> =OLL Algorithms=<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 /> {{Algnote}}<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 /> {{OCLL}}<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 /> === OLL 1 ===<br /> {{case<br /> |image=o1.gif<br /> |name=Runway, Blank<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}<br /> {{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}<br /> {{Alg|(y) R U' R2 D' r U' r' D R2 U R'|OLL}}<br /> <br /> === OLL 2 ===<br /> {{case<br /> |image=o2.gif<br /> |name=zamboni<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 3 ===<br /> {{case<br /> |image=o3.gif<br /> |name=Anti-Nazi, Anti-Mouse<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) r' R2 U R' U r U2 r' U M'|OLL}}<br /> {{Alg|(M'U) (r'U2 r U) (R' U R2 r')|OLL}}<br /> |<br /> <br /> === OLL 4 ===<br /> {{case<br /> |image=o4.gif<br /> |name= Nazi, Mouse<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 17 ===<br /> {{case<br /> |image=o17.gif<br /> |name= slash, diagonal<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}<br /> {{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}<br /> {{Alg|(y2) (F R' F' R2 r' U) (R U' R' U' M')|OLL}}<br /> <br /> === OLL 18 ===<br /> {{case<br /> |image=o18.gif<br /> |name= Crown<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y') r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br /> {{Alg|(y) 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|(y2) (R' F R F') U2 (R' F R F') (U F' U F) |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 /> {{Alg|(y2) (F R U' R' U' R U R' F') U' (F R U R' U' F') |OLL}}<br /> {{Alg|(y') (M' U M U2 M' U M) U (f R U R' U' f') |OLL}}<br /> <br /> === OLL 19 ===<br /> {{case<br /> |image=o19.gif<br /> |name= Bunny<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br /> {{Alg|M U R U R' U' M' R' F R F'|OLL}}<br /> {{Alg|M U R U R' U' r R2' F R F'|OLL}}<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|(y2) M' U' R' U' R U r' R2 B' R' B|OLL}}<br /> {{Alg|(y2) M' U L U L' U' l L2 B L B'|OLL}}<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 /> {{case<br /> |image=o31.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R' U' F U R U' R' F' R|OLL}}<br /> {{Alg|(y) (F R' F' R) (U R U R') (U' R U' R')|OLL}}<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|L' U' B U L U' L' B' L|OLL}}<br /> {{Alg|(y') (S R U R' U' Fw' U' F)|OLL}}<br /> {{Alg|(y) M' U' L' U' L F U F' L' U l|OLL}}<br /> {{Alg|(y2) (L' U' L U) (R U R' U') M' U' L' U2 R U' (x')|OLL}}<br /> |<br /> <br /> === OLL 32 ===<br /> {{case<br /> |image=o32.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> <br /> {{Alg|R U B' U' R' U R B R'|OLL}}<br /> {{Alg|(y2) x' R U R' D R U' R U' R' U R' D' x|OLL}}<br /> {{Alg|(y2) F U R U' F' r U R' U' r'|OLL}}<br /> {{Alg|R U x' U' F' R' F R U R'|OLL}}<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 U2 R' U' F' U F R U' R'|OLL}}<br /> {{Alg|l F U' F' R' F R U l'|OLL}}<br /> {{Alg|(y) M' U R U R' F' U' F R U' r'|OLL}}<br /> {{Alg|(y2) L U F' U' L' U L F L'|OLL}}<br /> {{Alg|(y2) (R U R' U') (L' U' L U) M' U R U2 L' U x'|OLL}}<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 43 ===<br /> {{case<br /> |image=o43.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y) R' U' F' U F R|OLL}}<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|(y2) U R U R' F' L' U' L F|OLL}}<br /> {{Alg|(y2) R' U' F R' F' R U R|OLL}}<br /> {{Alg|(y') R U l' U' r' U' r U x'|OLL}}<br /> <br /> |<br /> <br /> === OLL 44 ===<br /> {{case<br /> |image=o44.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o36.gif<br /> |name=Sea-Mew, Wario<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}<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 /> {{Alg|(R U R' U' F') (U2' F U) (R U R')|OLL}}<br /> <br /> === OLL 38 ===<br /> {{case<br /> |image=o38.gif<br /> |name=Mario<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R U R' U R U' R' U' R' F R F'|OLL}}<br /> {{Alg|L U L' U L U' L' U' L' B L B'|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 /> {{case<br /> |image=o48.gif<br /> |name=Breakneck<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o47.gif<br /> |name=Anti-Breakneck<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|R' U' x (R' U R U')2 x' U R|OLL}}<br /> <br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 53 ===<br /> {{case<br /> |image=o53.gif<br /> |name=Frying Pan<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o54.gif<br /> |name=Anti-Frying Pan<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}<br /> {{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 49 ===<br /> {{case<br /> |image=o49.gif<br /> |name= right back squeezy<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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 /> <br /> === OLL 50 ===<br /> {{case<br /> |image=o50.gif<br /> |name= right front squeezy<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}<br /> {{Alg|(y2) (r U R U' r') (F R' U R U' R' F')|OLL}}<br /> {{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|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') F' R U2 R' U2 R' F2 R F'|OLL}}<br /> {{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}<br /> {{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}<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 /> {{case<br /> |image=o34.gif<br /> |name= City (C and T)<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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' l' U R d' D|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 /> {{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 46 ===<br /> {{case<br /> |image=o46.gif<br /> |name= Seein' Headlights(C and headlights)<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<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 /> <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 /> {{case<br /> |image=o33.gif<br /> |name= Tying Shoelaces, Key<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(R U R' U') (R' F R F')|OLL}}<br /> {{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}<br /> {{Alg|R' U' R U l U' R' U x|OLL}}<br /> {{Alg|R U R' F' U' F R U' R'|OLL}}<br /> |<br /> <br /> === OLL 45 ===<br /> {{case<br /> |image=o45.gif<br /> |name= Suit up, T<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o55.gif<br /> |name= Highway<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}<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) F U' R2 D R' U2 R D' R2' U 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 /> {{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}<br /> {{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}<br /> {{Alg|(y) r U2 R' U' M 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 /> === OLL 56 ===<br /> {{case<br /> |image=o56.gif<br /> |name= Streetlights, Dead Man<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<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 U r' U R U' R' M' U R U2 r'|OLL}}<br /> {{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}<br /> {{Alg|l U l' (U L U' L')2 l U' l|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 51 ===<br /> {{case<br /> |image=o51.gif<br /> |name=Bottlecap, Ant<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y') R' U2 R U R' F R' F' R U R |OLL}}<br /> <br /> <br /> |<br /> <br /> === OLL 52 ===<br /> {{case<br /> |image=o52.gif<br /> |name= rice cooker<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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|R' U' R U' R' U F' U F R|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 /> {{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}<br /> {{Alg|(y') F R U R' U F' U' F U' 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 /> {{case<br /> |image=o5.gif<br /> |name= right back wide antisune(RBWAS), Lefty Square<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<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) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}<br /> {{Alg|(y2) l' U2 L U L' U l|OLL}}<br /> {{Alg|(y) x' U' l2 U l F' l U|OLL}}<br /> |<br /> <br /> === OLL 6 ===<br /> {{case<br /> |image=o6.gif<br /> |name= right front wide antisune(RFWAS), Righty Square<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o39.gif<br /> |name=Fung<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L F' L' U' L U F U' L'|OLL}}<br /> {{Alg|(y2) l U' l' U' R U B U' R'|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 /> {{Alg|(y2) F R U R' U' R U R' U' R U' R' U' R U R' F'|OLL}}<br /> <br /> |<br /> <br /> === OLL 40 ===<br /> {{case<br /> |image=o40.gif<br /> |name=Anti-Fung<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o7.gif<br /> |name=wide sune, lightning<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U R U2 r'|OLL}}<br /> {{Alg|(y) B L F' L F L2 B'|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 /> {{case<br /> |image=o8.gif<br /> |name= left wide sune(LWS) or right back wide sune(RBWS), reverse lightning<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|l' U' L U' L' U2 l|OLL}}<br /> {{Alg|(y2) r' U' R U' R' U2 r|OLL}}<br /> {{Alg|(y') B' R' F R' F' R2 B|OLL}}<br /> {{Alg|R U2 R' U2 R' F R F'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 11 ===<br /> {{case<br /> |image=o11.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' R2 U R' U R U2 R' U M'|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|(y) R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 12 ===<br /> {{case<br /> |image=o12.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|F (R U R' U') F' U 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 /> {{Alg|(y') M' R' U' R U' R' U2 R U' M|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 /> {{case<br /> |image=o9.gif<br /> |name=Kite<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<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 /> {{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) L' U' L y l U' l' U l U l'|OLL}}<br /> {{Alg|R' U' R U' R' U R' F R F' U R|OLL}}<br /> {{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}<br /> <br /> |<br /> <br /> === OLL 10 ===<br /> {{case<br /> |image=o10.gif<br /> |name=Anti-Kite<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(R' M' U2) (R U R' U) (R U R r')|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 35 ===<br /> {{case<br /> |image=o35.gif<br /> |name= fish salad<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br /> {{Alg|R U B' R B R2 U R U2 R'|OLL}}<br /> {{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}<br /> {{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}<br /> {{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}<br /> <br /> |<br /> <br /> === OLL 37 ===<br /> {{case<br /> |image=o37.gif<br /> |name=mounted fish/ untying showlaces<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<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) R' F R F' y' U' R' U R|OLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|OLL}}<br /> {{Alg|(y) M' U R U' r' d' L' U L|OLL}}<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|R B' R' B U B U' B'|OLL}}<br /> {{Alg|R U R' F' U F R U' R'|OLL}}<br /> {{Alg|(y') r2 D' r U' r' D r U r|OLL}}<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 /> {{case<br /> |image=o13.gif<br /> |name=Gun, Trigger<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}<br /> |<br /> <br /> === OLL 14 ===<br /> {{case<br /> |image=o14.gif<br /> |name=Anti-Gun, Anti-Trigger<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br /> {{Alg|l' U l U l' U' l 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' L' U L F L' U' L x y' L U' L'|OLL}}<br /> {{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}<br /> {{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 15 ===<br /> {{case<br /> |image=o15.gif<br /> |name=Squeegee<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o16.gif<br /> |name=Anti-Squeegee<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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|l U l' L U L' U' l U' l'|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 /> {{case<br /> |image=o29.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br /> {{Alg|r2 D' r U r' D r2 U' r' U' 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|(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|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br /> {{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}<br /> {{Alg|(y') (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}<br /> |<br /> <br /> === OLL 30 ===<br /> {{case<br /> |image=o30.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br /> {{Alg|f R U R2 U' R' U R2 U' R' f'|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|l U' R' U l' U2 R d L U L'|OLL}}<br /> {{Alg|R B' R' B R' U2 R U y R U R'|OLL}}<br /> {{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}<br /> {{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}<br /> {{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}<br /> {{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}<br /> {{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}<br /> {{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}<br /> {{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}<br /> {{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}<br /> {{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 41 ===<br /> {{case<br /> |image=o41.gif<br /> |name= Awkward Fish<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) M' R' F' U' F U R U' M|OLL}}<br /> {{Alg|R' M2 U' F' U F r U' M'|OLL}}<br /> {{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}<br /> {{Alg|r U2 R' U' R U' r' U' R U R' U R U2 R'|OLL}}<br /> |<br /> <br /> === OLL 42 ===<br /> {{case<br /> |image=o42.gif<br /> |name= Lefty Awkward Fish<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) M' U f U R U' R' f' M|OLL}}<br /> {{Alg| (M R) (f R f') (U' R' U M')|OLL}}<br /> {{Alg|(M U) (F R U R' U' F') M'|OLL}}<br /> {{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}<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 /> {{case<br /> |image=o28.gif<br /> |name=Stealth, Arrow, Arrowhead, Fish<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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|U2 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 /> {{Alg|(y') M U R U R' U' M' U R U' R' |OLL}}<br /> |<br /> <br /> === OLL 57 ===<br /> {{case<br /> |image=o57.gif<br /> |name=Mummy, H, I, Brick<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}<br /> {{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}<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' U M' U2 M' U 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 /> === OLL 20 ===<br /> {{case<br /> |image=o20.gif<br /> |name=X, Checkers<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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|x U R' U' M2 U R U' M' x' 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 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|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|S' U' S2 U R' U' R' S' R U R|OLL}}<br /> {{Alg|(M U)4 (M' U)4|OLL}}<br /> {{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}<br /> {{Alg|(M' U)4 y2 (M' U) 4|OLL}}<br /> <br /> &lt;br&gt;{{OLL}}<br /> <br /> [[Category:3x3x3 last layer substeps]]<br /> [[Category:Acronyms]]<br /> [[Category:Algorithms]]<br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=26233 CLL algorithms (3x3x3) 2015-05-02T08:18:58Z <p>Xitvono: </p> <hr /> <div>{{Method Infobox<br /> |name=CLL<br /> |image=CLL(3x3).png<br /> |proposers=[[Guus Razoux Schultz]]<br /> |year=1981<br /> |anames=<br /> |variants=[[COLL]], [[CMLL]]<br /> |steps=1<br /> |algs=40 + 2<br /> |moves=9.18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> }}<br /> '''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br /> <br /> ===See also:===<br /> * [[CLL algorithms (2x2x2)]]<br /> * [[CxLL]]<br /> * [[CFCE]]<br /> * [[ELL]]<br /> <br /> {{3CLL}}<br /> &lt;br clear=all&gt;<br /> =Algorithms=<br /> {{Algnote}}<br /> See [[CxLL#The lists|CxLL]] for information about the diagrams.<br /> <br /> The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br /> ==U cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U U ===<br /> {{CxLLCase<br /> |image=CxLL U U.jpg<br /> |name=U U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br /> |recog=For all U cases look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br /> {{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === U D ===<br /> {{CxLLCase<br /> |image=CxLL U D.jpg<br /> |name=U D<br /> |prob=4:162<br /> |optimal=6<br /> |descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br /> |recog=For all U cases you look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R U R' U' F'|stage=CLL}}<br /> {{Alg|(y') f R U R' U' f'|stage=CLL}}<br /> {{Alg|(y') F' U' L' U L F|stage=CLL}}<br /> {{Alg|(y) R' U' R' F R F' U R| stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === U R ===<br /> {{CxLLCase<br /> |image=CxLL U R.jpg<br /> |name=U R<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U L, inverse of L L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br /> {{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U F ===<br /> {{CxLLCase<br /> |image=CxLL U F.jpg<br /> |name=U F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, inverse of T F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br /> {{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U L ===<br /> {{CxLLCase<br /> |image=CxLL U L.jpg<br /> |name=U L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U R, inverse of L F<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U B ===<br /> {{CxLLCase<br /> |image=CxLL U B.jpg<br /> |name=U B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br /> {{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br /> {{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==T cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T U ===<br /> {{CxLLCase<br /> |image=CxLL T U.jpg<br /> |name=T U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of U U,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br /> {{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br /> {{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === T D ===<br /> {{CxLLCase<br /> |image=CxLL T D.jpg<br /> |name=T D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br /> {{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br /> {{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === T R ===<br /> {{CxLLCase<br /> |image=CxLL T R.jpg<br /> |name=T R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T L, inverse of L R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br /> {{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br /> {{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T F ===<br /> {{CxLLCase<br /> |image=CxLL T F.jpg<br /> |name=T F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, Inverse of U F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T L ===<br /> {{CxLLCase<br /> |image=CxLL T L.jpg<br /> |name=T L<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T R, inverse of L L, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br /> {{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br /> {{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br /> {{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T B ===<br /> {{CxLLCase<br /> |image=CxLL T B.jpg<br /> |name=T B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br /> {{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br /> {{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br /> {{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==L cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L U ===<br /> {{CxLLCase<br /> |image=CxLL L U.jpg<br /> |name=L U, Triple [[Sune]]<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br /> {{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L D ===<br /> {{CxLLCase<br /> |image=CxLL L D.jpg<br /> |name=L D<br /> |prob=4:162<br /> |optimal=9<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br /> {{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L R U2 L' U' L U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === L R ===<br /> {{CxLLCase<br /> |image=CxLL L R.jpg<br /> |name=L R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L B, inverse of T R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br /> {{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br /> {{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L F ===<br /> {{CxLLCase<br /> |image=CxLL L F.jpg<br /> |name=L F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L L, inverse of U L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br /> {{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L L ===<br /> {{CxLLCase<br /> |image=CxLL L L.jpg<br /> |name=L L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L F, Inverse of U R <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br /> {{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === L B ===<br /> {{CxLLCase<br /> |image=CxLL L B.jpg<br /> |name=L B<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L R, inverse of T L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br /> {{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==S cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S U ===<br /> {{CxLLCase<br /> |image=CxLL aS U.jpg<br /> |name=S U, [[Sune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, mirror/inverse of -S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br /> {{Alg|L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|l' U2 L U L' U l|stage=CLL}}<br /> {{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br /> {{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S D ===<br /> {{CxLLCase<br /> |image=CxLL aS D.jpg<br /> |name=S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of -S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br /> {{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S R ===<br /> {{CxLLCase<br /> |image=CxLL aS R.jpg<br /> |name=S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S F, inverse of -S R. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S F ===<br /> {{CxLLCase<br /> |image=CxLL aS F.jpg<br /> |name=S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S R, inverse of -S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === S L ===<br /> {{CxLLCase<br /> |image=CxLL aS L.jpg<br /> |name=S L, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of -S B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br /> {{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br /> {{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br /> {{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br /> {{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S B ===<br /> {{CxLLCase<br /> |image=CxLL aS B.jpg<br /> |name=S B, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of -S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br /> {{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==aS cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === -S U ===<br /> {{CxLLCase<br /> |image=CxLL S U.jpg<br /> |name=-S U, [[Antisune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, Mirror/inverse of S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S D ===<br /> {{CxLLCase<br /> |image=CxLL S D.jpg<br /> |name=-S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br /> {{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S R ===<br /> {{CxLLCase<br /> |image=CxLL S R.jpg<br /> |name=-S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S F, inverse of S R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br /> {{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S F ===<br /> {{CxLLCase<br /> |image=CxLL S F.jpg<br /> |name=-S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S R, inverse of S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br /> {{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S L ===<br /> {{CxLLCase<br /> |image=CxLL S L.jpg<br /> |name=-S L, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of S B.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U L U' R U L'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === -S B ===<br /> {{CxLLCase<br /> |image=CxLL S B.jpg<br /> |name=-S B, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br /> {{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br /> {{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br /> L2 B' L2 B' R B L2 B' R' B2 L2<br /> }}<br /> |}<br /> <br /> ==H cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === H U ===<br /> {{CxLLCase<br /> |image=CxLL H U.jpg<br /> |name=H U, Double [[Sune]]<br /> |prob=2:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H D ===<br /> {{CxLLCase<br /> |image=CxLL H D.jpg<br /> |name=H D, Triple FRURUF<br /> |prob=2:162<br /> |optimal=11<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F (R U R' U')3 F'|stage=CLL}}<br /> {{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === H R ===<br /> {{CxLLCase<br /> |image=CxLL H R.jpg<br /> |name=H R / H L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of pi B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H F ===<br /> {{CxLLCase<br /> |image=CxLL H F.jpg<br /> |name=H F / H B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of pi F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br /> {{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br /> {{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==pi cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === pi U ===<br /> {{CxLLCase<br /> |image=CxLL Pi U imp.jpg<br /> |name=pi U, [[Bruno]]<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Only orientation.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br /> {{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br /> {{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi D ===<br /> {{CxLLCase<br /> |image=CxLL pi D.jpg<br /> |name=pi D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br /> {{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br /> {{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br /> {{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi R ===<br /> {{CxLLCase<br /> |image=CxLL pi R.jpg<br /> |name=pi R<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi F ===<br /> {{CxLLCase<br /> |image=CxLL pi F.jpg<br /> |name=pi F<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of H F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br /> {{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br /> <br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi L ===<br /> {{CxLLCase<br /> |image=CxLL pi L.jpg<br /> |name=pi L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br /> {{Alg|(y') L' U2 L U2 L F' L2 U' L U F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi B ===<br /> {{CxLLCase<br /> |image=CxLL pi B.jpg<br /> |name=pi B<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of H R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br /> {{Alg|(y2) L U L' U L U2 L2 B' R B L B' R' B|stage=CLL}}<br /> }}<br /> |}<br /> {{3CLL}}<br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=26104 CLL algorithms (3x3x3) 2015-04-11T22:15:57Z <p>Xitvono: /* L D */</p> <hr /> <div>{{Method Infobox<br /> |name=CLL<br /> |image=CLL(3x3).png<br /> |proposers=[[Guus Razoux Schultz]]<br /> |year=1981<br /> |anames=<br /> |variants=[[COLL]], [[CMLL]]<br /> |steps=1<br /> |algs=40 + 2<br /> |moves=9.18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> }}<br /> '''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br /> <br /> ===See also:===<br /> * [[CLL algorithms (2x2x2)]]<br /> * [[CxLL]]<br /> * [[CFCE]]<br /> * [[ELL]]<br /> <br /> {{3CLL}}<br /> &lt;br clear=all&gt;<br /> =Algorithms=<br /> {{Algnote}}<br /> See [[CxLL#The lists|CxLL]] for information about the diagrams.<br /> <br /> The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br /> ==U cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U U ===<br /> {{CxLLCase<br /> |image=CxLL U U.jpg<br /> |name=U U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br /> |recog=For all U cases look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br /> {{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === U D ===<br /> {{CxLLCase<br /> |image=CxLL U D.jpg<br /> |name=U D<br /> |prob=4:162<br /> |optimal=6<br /> |descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br /> |recog=For all U cases you look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R U R' U' F'|stage=CLL}}<br /> {{Alg|(y') f R U R' U' f'|stage=CLL}}<br /> {{Alg|(y') F' U' L' U L F|stage=CLL}}<br /> {{Alg|(y) R' U' R' F R F' U R| stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === U R ===<br /> {{CxLLCase<br /> |image=CxLL U R.jpg<br /> |name=U R<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U L, inverse of L L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br /> {{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U F ===<br /> {{CxLLCase<br /> |image=CxLL U F.jpg<br /> |name=U F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, inverse of T F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br /> {{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U L ===<br /> {{CxLLCase<br /> |image=CxLL U L.jpg<br /> |name=U L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U R, inverse of L F<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U B ===<br /> {{CxLLCase<br /> |image=CxLL U B.jpg<br /> |name=U B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br /> {{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br /> {{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==T cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T U ===<br /> {{CxLLCase<br /> |image=CxLL T U.jpg<br /> |name=T U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of U U,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br /> {{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br /> {{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === T D ===<br /> {{CxLLCase<br /> |image=CxLL T D.jpg<br /> |name=T D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br /> {{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br /> {{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === T R ===<br /> {{CxLLCase<br /> |image=CxLL T R.jpg<br /> |name=T R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T L, inverse of L R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br /> {{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br /> {{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T F ===<br /> {{CxLLCase<br /> |image=CxLL T F.jpg<br /> |name=T F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, Inverse of U F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T L ===<br /> {{CxLLCase<br /> |image=CxLL T L.jpg<br /> |name=T L<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T R, inverse of L L, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br /> {{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br /> {{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br /> {{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T B ===<br /> {{CxLLCase<br /> |image=CxLL T B.jpg<br /> |name=T B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br /> {{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br /> {{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br /> {{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==L cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L U ===<br /> {{CxLLCase<br /> |image=CxLL L U.jpg<br /> |name=L U, Triple [[Sune]]<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br /> {{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L D ===<br /> {{CxLLCase<br /> |image=CxLL L D.jpg<br /> |name=L D<br /> |prob=4:162<br /> |optimal=9<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br /> {{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L R U2 L' U' L U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === L R ===<br /> {{CxLLCase<br /> |image=CxLL L R.jpg<br /> |name=L R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L B, inverse of T R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br /> {{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br /> {{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L F ===<br /> {{CxLLCase<br /> |image=CxLL L F.jpg<br /> |name=L F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L L, inverse of U L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br /> {{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L L ===<br /> {{CxLLCase<br /> |image=CxLL L L.jpg<br /> |name=L L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L F, Inverse of U R <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br /> {{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === L B ===<br /> {{CxLLCase<br /> |image=CxLL L B.jpg<br /> |name=L B<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L R, inverse of T L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br /> {{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==S cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S U ===<br /> {{CxLLCase<br /> |image=CxLL aS U.jpg<br /> |name=S U, [[Sune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, mirror/inverse of -S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br /> {{Alg|L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|l' U2 L U L' U l|stage=CLL}}<br /> {{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br /> {{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S D ===<br /> {{CxLLCase<br /> |image=CxLL aS D.jpg<br /> |name=S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of -S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br /> {{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S R ===<br /> {{CxLLCase<br /> |image=CxLL aS R.jpg<br /> |name=S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S F, inverse of -S R. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S F ===<br /> {{CxLLCase<br /> |image=CxLL aS F.jpg<br /> |name=S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S R, inverse of -S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === S L ===<br /> {{CxLLCase<br /> |image=CxLL aS L.jpg<br /> |name=S L, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of -S B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br /> {{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br /> {{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br /> {{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br /> {{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S B ===<br /> {{CxLLCase<br /> |image=CxLL aS B.jpg<br /> |name=S B, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of -S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br /> {{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==aS cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === -S U ===<br /> {{CxLLCase<br /> |image=CxLL S U.jpg<br /> |name=-S U, [[Antisune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, Mirror/inverse of S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S D ===<br /> {{CxLLCase<br /> |image=CxLL S D.jpg<br /> |name=-S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br /> {{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S R ===<br /> {{CxLLCase<br /> |image=CxLL S R.jpg<br /> |name=-S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S F, inverse of S R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br /> {{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S F ===<br /> {{CxLLCase<br /> |image=CxLL S F.jpg<br /> |name=-S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S R, inverse of S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br /> {{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S L ===<br /> {{CxLLCase<br /> |image=CxLL S L.jpg<br /> |name=-S L, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of S B.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U L U' R U L'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === -S B ===<br /> {{CxLLCase<br /> |image=CxLL S B.jpg<br /> |name=-S B, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br /> {{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br /> {{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br /> L2 B' L2 B' R B L2 B' R' B2 L2<br /> }}<br /> |}<br /> <br /> ==H cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === H U ===<br /> {{CxLLCase<br /> |image=CxLL H U.jpg<br /> |name=H U, Double [[Sune]]<br /> |prob=2:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H D ===<br /> {{CxLLCase<br /> |image=CxLL H D.jpg<br /> |name=H D, Triple FRURUF<br /> |prob=2:162<br /> |optimal=11<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F (R U R' U')3 F'|stage=CLL}}<br /> {{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === H R ===<br /> {{CxLLCase<br /> |image=CxLL H R.jpg<br /> |name=H R / H L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of pi B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H F ===<br /> {{CxLLCase<br /> |image=CxLL H F.jpg<br /> |name=H F / H B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of pi F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br /> {{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br /> {{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==pi cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === pi U ===<br /> {{CxLLCase<br /> |image=CxLL Pi U imp.jpg<br /> |name=pi U, [[Bruno]]<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Only orientation.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br /> {{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br /> {{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi D ===<br /> {{CxLLCase<br /> |image=CxLL pi D.jpg<br /> |name=pi D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br /> {{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br /> {{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br /> {{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi R ===<br /> {{CxLLCase<br /> |image=CxLL pi R.jpg<br /> |name=pi R<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi F ===<br /> {{CxLLCase<br /> |image=CxLL pi F.jpg<br /> |name=pi F<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of H F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br /> {{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br /> <br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi L ===<br /> {{CxLLCase<br /> |image=CxLL pi L.jpg<br /> |name=pi L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br /> L' U2 L U2 L F' L2 U' L U F<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi B ===<br /> {{CxLLCase<br /> |image=CxLL pi B.jpg<br /> |name=pi B<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of H R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br /> L U L' U L U2 L2 B' R B L B' R' B<br /> }}<br /> |}<br /> {{3CLL}}<br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=26102 CLL algorithms (3x3x3) 2015-04-11T04:38:54Z <p>Xitvono: /* U D */</p> <hr /> <div>{{Method Infobox<br /> |name=CLL<br /> |image=CLL(3x3).png<br /> |proposers=[[Guus Razoux Schultz]]<br /> |year=1981<br /> |anames=<br /> |variants=[[COLL]], [[CMLL]]<br /> |steps=1<br /> |algs=40 + 2<br /> |moves=9.18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> }}<br /> '''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br /> <br /> ===See also:===<br /> * [[CLL algorithms (2x2x2)]]<br /> * [[CxLL]]<br /> * [[CFCE]]<br /> * [[ELL]]<br /> <br /> {{3CLL}}<br /> &lt;br clear=all&gt;<br /> =Algorithms=<br /> {{Algnote}}<br /> See [[CxLL#The lists|CxLL]] for information about the diagrams.<br /> <br /> The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br /> ==U cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U U ===<br /> {{CxLLCase<br /> |image=CxLL U U.jpg<br /> |name=U U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br /> |recog=For all U cases look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br /> {{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === U D ===<br /> {{CxLLCase<br /> |image=CxLL U D.jpg<br /> |name=U D<br /> |prob=4:162<br /> |optimal=6<br /> |descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br /> |recog=For all U cases you look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R U R' U' F'|stage=CLL}}<br /> {{Alg|(y') f R U R' U' f'|stage=CLL}}<br /> {{Alg|(y') F' U' L' U L F|stage=CLL}}<br /> {{Alg|(y) R' U' R' F R F' U R| stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === U R ===<br /> {{CxLLCase<br /> |image=CxLL U R.jpg<br /> |name=U R<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U L, inverse of L L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br /> {{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U F ===<br /> {{CxLLCase<br /> |image=CxLL U F.jpg<br /> |name=U F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, inverse of T F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br /> {{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U L ===<br /> {{CxLLCase<br /> |image=CxLL U L.jpg<br /> |name=U L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U R, inverse of L F<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U B ===<br /> {{CxLLCase<br /> |image=CxLL U B.jpg<br /> |name=U B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br /> {{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br /> {{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==T cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T U ===<br /> {{CxLLCase<br /> |image=CxLL T U.jpg<br /> |name=T U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of U U,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br /> {{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br /> {{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === T D ===<br /> {{CxLLCase<br /> |image=CxLL T D.jpg<br /> |name=T D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br /> {{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br /> {{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === T R ===<br /> {{CxLLCase<br /> |image=CxLL T R.jpg<br /> |name=T R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T L, inverse of L R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br /> {{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br /> {{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T F ===<br /> {{CxLLCase<br /> |image=CxLL T F.jpg<br /> |name=T F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, Inverse of U F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T L ===<br /> {{CxLLCase<br /> |image=CxLL T L.jpg<br /> |name=T L<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T R, inverse of L L, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br /> {{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br /> {{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br /> {{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T B ===<br /> {{CxLLCase<br /> |image=CxLL T B.jpg<br /> |name=T B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br /> {{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br /> {{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br /> {{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==L cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L U ===<br /> {{CxLLCase<br /> |image=CxLL L U.jpg<br /> |name=L U, Triple [[Sune]]<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br /> {{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L D ===<br /> {{CxLLCase<br /> |image=CxLL L D.jpg<br /> |name=L D<br /> |prob=4:162<br /> |optimal=9<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br /> {{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br /> L' U' L R U2 L' U' L U2 R'<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === L R ===<br /> {{CxLLCase<br /> |image=CxLL L R.jpg<br /> |name=L R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L B, inverse of T R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br /> {{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br /> {{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L F ===<br /> {{CxLLCase<br /> |image=CxLL L F.jpg<br /> |name=L F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L L, inverse of U L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br /> {{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L L ===<br /> {{CxLLCase<br /> |image=CxLL L L.jpg<br /> |name=L L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L F, Inverse of U R <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br /> {{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === L B ===<br /> {{CxLLCase<br /> |image=CxLL L B.jpg<br /> |name=L B<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L R, inverse of T L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br /> {{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==S cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S U ===<br /> {{CxLLCase<br /> |image=CxLL aS U.jpg<br /> |name=S U, [[Sune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, mirror/inverse of -S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br /> {{Alg|L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|l' U2 L U L' U l|stage=CLL}}<br /> {{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br /> {{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S D ===<br /> {{CxLLCase<br /> |image=CxLL aS D.jpg<br /> |name=S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of -S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br /> {{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S R ===<br /> {{CxLLCase<br /> |image=CxLL aS R.jpg<br /> |name=S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S F, inverse of -S R. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S F ===<br /> {{CxLLCase<br /> |image=CxLL aS F.jpg<br /> |name=S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S R, inverse of -S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === S L ===<br /> {{CxLLCase<br /> |image=CxLL aS L.jpg<br /> |name=S L, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of -S B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br /> {{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br /> {{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br /> {{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br /> {{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S B ===<br /> {{CxLLCase<br /> |image=CxLL aS B.jpg<br /> |name=S B, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of -S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br /> {{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==aS cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === -S U ===<br /> {{CxLLCase<br /> |image=CxLL S U.jpg<br /> |name=-S U, [[Antisune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, Mirror/inverse of S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S D ===<br /> {{CxLLCase<br /> |image=CxLL S D.jpg<br /> |name=-S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br /> {{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S R ===<br /> {{CxLLCase<br /> |image=CxLL S R.jpg<br /> |name=-S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S F, inverse of S R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br /> {{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S F ===<br /> {{CxLLCase<br /> |image=CxLL S F.jpg<br /> |name=-S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S R, inverse of S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br /> {{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S L ===<br /> {{CxLLCase<br /> |image=CxLL S L.jpg<br /> |name=-S L, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of S B.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U L U' R U L'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === -S B ===<br /> {{CxLLCase<br /> |image=CxLL S B.jpg<br /> |name=-S B, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br /> {{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br /> {{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br /> L2 B' L2 B' R B L2 B' R' B2 L2<br /> }}<br /> |}<br /> <br /> ==H cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === H U ===<br /> {{CxLLCase<br /> |image=CxLL H U.jpg<br /> |name=H U, Double [[Sune]]<br /> |prob=2:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H D ===<br /> {{CxLLCase<br /> |image=CxLL H D.jpg<br /> |name=H D, Triple FRURUF<br /> |prob=2:162<br /> |optimal=11<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F (R U R' U')3 F'|stage=CLL}}<br /> {{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === H R ===<br /> {{CxLLCase<br /> |image=CxLL H R.jpg<br /> |name=H R / H L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of pi B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H F ===<br /> {{CxLLCase<br /> |image=CxLL H F.jpg<br /> |name=H F / H B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of pi F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br /> {{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br /> {{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==pi cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === pi U ===<br /> {{CxLLCase<br /> |image=CxLL Pi U imp.jpg<br /> |name=pi U, [[Bruno]]<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Only orientation.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br /> {{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br /> {{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi D ===<br /> {{CxLLCase<br /> |image=CxLL pi D.jpg<br /> |name=pi D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br /> {{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br /> {{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br /> {{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi R ===<br /> {{CxLLCase<br /> |image=CxLL pi R.jpg<br /> |name=pi R<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi F ===<br /> {{CxLLCase<br /> |image=CxLL pi F.jpg<br /> |name=pi F<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of H F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br /> {{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br /> <br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi L ===<br /> {{CxLLCase<br /> |image=CxLL pi L.jpg<br /> |name=pi L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br /> L' U2 L U2 L F' L2 U' L U F<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi B ===<br /> {{CxLLCase<br /> |image=CxLL pi B.jpg<br /> |name=pi B<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of H R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br /> L U L' U L U2 L2 B' R B L B' R' B<br /> }}<br /> |}<br /> {{3CLL}}<br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=26001 CLL algorithms (3x3x3) 2015-03-18T02:38:44Z <p>Xitvono: /* U D */</p> <hr /> <div>{{Method Infobox<br /> |name=CLL<br /> |image=CLL(3x3).png<br /> |proposers=[[Guus Razoux Schultz]]<br /> |year=1981<br /> |anames=<br /> |variants=[[COLL]], [[CMLL]]<br /> |steps=1<br /> |algs=40 + 2<br /> |moves=9.18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> }}<br /> '''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br /> <br /> ===See also:===<br /> * [[CLL algorithms (2x2x2)]]<br /> * [[CxLL]]<br /> * [[CFCE]]<br /> * [[ELL]]<br /> <br /> {{3CLL}}<br /> &lt;br clear=all&gt;<br /> =Algorithms=<br /> {{Algnote}}<br /> See [[CxLL#The lists|CxLL]] for information about the diagrams.<br /> <br /> The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br /> ==U cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U U ===<br /> {{CxLLCase<br /> |image=CxLL U U.jpg<br /> |name=U U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br /> |recog=For all U cases look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br /> {{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === U D ===<br /> {{CxLLCase<br /> |image=CxLL U D.jpg<br /> |name=U D<br /> |prob=4:162<br /> |optimal=6<br /> |descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br /> |recog=For all U cases you look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R U R' U' F'|stage=CLL}}<br /> {{Alg|(y') f R U R' U' f'|stage=CLL}}<br /> {{Alg|(y') F' U' L' U L F|stage=CLL}}<br /> {{Alg|(y') R' U' R' F R F' U R| stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === U R ===<br /> {{CxLLCase<br /> |image=CxLL U R.jpg<br /> |name=U R<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U L, inverse of L L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br /> {{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U F ===<br /> {{CxLLCase<br /> |image=CxLL U F.jpg<br /> |name=U F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, inverse of T F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br /> {{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U L ===<br /> {{CxLLCase<br /> |image=CxLL U L.jpg<br /> |name=U L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U R, inverse of L F<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U B ===<br /> {{CxLLCase<br /> |image=CxLL U B.jpg<br /> |name=U B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br /> {{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br /> {{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==T cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T U ===<br /> {{CxLLCase<br /> |image=CxLL T U.jpg<br /> |name=T U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of U U,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br /> {{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br /> {{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === T D ===<br /> {{CxLLCase<br /> |image=CxLL T D.jpg<br /> |name=T D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br /> {{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br /> {{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === T R ===<br /> {{CxLLCase<br /> |image=CxLL T R.jpg<br /> |name=T R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T L, inverse of L R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br /> {{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br /> {{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T F ===<br /> {{CxLLCase<br /> |image=CxLL T F.jpg<br /> |name=T F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, Inverse of U F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T L ===<br /> {{CxLLCase<br /> |image=CxLL T L.jpg<br /> |name=T L<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T R, inverse of L L, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br /> {{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br /> {{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br /> {{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T B ===<br /> {{CxLLCase<br /> |image=CxLL T B.jpg<br /> |name=T B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br /> {{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br /> {{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br /> {{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==L cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L U ===<br /> {{CxLLCase<br /> |image=CxLL L U.jpg<br /> |name=L U, Triple [[Sune]]<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br /> {{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L D ===<br /> {{CxLLCase<br /> |image=CxLL L D.jpg<br /> |name=L D<br /> |prob=4:162<br /> |optimal=9<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br /> {{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br /> L' U' L R U2 L' U' L U2 R'<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === L R ===<br /> {{CxLLCase<br /> |image=CxLL L R.jpg<br /> |name=L R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L B, inverse of T R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br /> {{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br /> {{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L F ===<br /> {{CxLLCase<br /> |image=CxLL L F.jpg<br /> |name=L F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L L, inverse of U L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br /> {{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L L ===<br /> {{CxLLCase<br /> |image=CxLL L L.jpg<br /> |name=L L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L F, Inverse of U R <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br /> {{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === L B ===<br /> {{CxLLCase<br /> |image=CxLL L B.jpg<br /> |name=L B<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L R, inverse of T L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br /> {{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==S cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S U ===<br /> {{CxLLCase<br /> |image=CxLL aS U.jpg<br /> |name=S U, [[Sune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, mirror/inverse of -S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br /> {{Alg|L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|l' U2 L U L' U l|stage=CLL}}<br /> {{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br /> {{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S D ===<br /> {{CxLLCase<br /> |image=CxLL aS D.jpg<br /> |name=S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of -S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br /> {{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S R ===<br /> {{CxLLCase<br /> |image=CxLL aS R.jpg<br /> |name=S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S F, inverse of -S R. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S F ===<br /> {{CxLLCase<br /> |image=CxLL aS F.jpg<br /> |name=S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S R, inverse of -S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === S L ===<br /> {{CxLLCase<br /> |image=CxLL aS L.jpg<br /> |name=S L, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of -S B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br /> {{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br /> {{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br /> {{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br /> {{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S B ===<br /> {{CxLLCase<br /> |image=CxLL aS B.jpg<br /> |name=S B, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of -S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br /> {{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==aS cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === -S U ===<br /> {{CxLLCase<br /> |image=CxLL S U.jpg<br /> |name=-S U, [[Antisune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, Mirror/inverse of S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S D ===<br /> {{CxLLCase<br /> |image=CxLL S D.jpg<br /> |name=-S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br /> {{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S R ===<br /> {{CxLLCase<br /> |image=CxLL S R.jpg<br /> |name=-S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S F, inverse of S R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br /> {{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S F ===<br /> {{CxLLCase<br /> |image=CxLL S F.jpg<br /> |name=-S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S R, inverse of S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br /> {{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S L ===<br /> {{CxLLCase<br /> |image=CxLL S L.jpg<br /> |name=-S L, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of S B.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U L U' R U L'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === -S B ===<br /> {{CxLLCase<br /> |image=CxLL S B.jpg<br /> |name=-S B, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br /> {{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br /> {{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br /> L2 B' L2 B' R B L2 B' R' B2 L2<br /> }}<br /> |}<br /> <br /> ==H cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === H U ===<br /> {{CxLLCase<br /> |image=CxLL H U.jpg<br /> |name=H U, Double [[Sune]]<br /> |prob=2:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H D ===<br /> {{CxLLCase<br /> |image=CxLL H D.jpg<br /> |name=H D, Triple FRURUF<br /> |prob=2:162<br /> |optimal=11<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F (R U R' U')3 F'|stage=CLL}}<br /> {{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === H R ===<br /> {{CxLLCase<br /> |image=CxLL H R.jpg<br /> |name=H R / H L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of pi B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H F ===<br /> {{CxLLCase<br /> |image=CxLL H F.jpg<br /> |name=H F / H B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of pi F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br /> {{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br /> {{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==pi cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === pi U ===<br /> {{CxLLCase<br /> |image=CxLL Pi U imp.jpg<br /> |name=pi U, [[Bruno]]<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Only orientation.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br /> {{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br /> {{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi D ===<br /> {{CxLLCase<br /> |image=CxLL pi D.jpg<br /> |name=pi D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br /> {{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br /> {{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br /> {{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi R ===<br /> {{CxLLCase<br /> |image=CxLL pi R.jpg<br /> |name=pi R<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi F ===<br /> {{CxLLCase<br /> |image=CxLL pi F.jpg<br /> |name=pi F<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of H F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br /> {{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br /> <br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi L ===<br /> {{CxLLCase<br /> |image=CxLL pi L.jpg<br /> |name=pi L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br /> L' U2 L U2 L F' L2 U' L U F<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi B ===<br /> {{CxLLCase<br /> |image=CxLL pi B.jpg<br /> |name=pi B<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of H R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br /> L U L' U L U2 L2 B' R B L B' R' B<br /> }}<br /> |}<br /> {{3CLL}}<br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=25849 First Two Layers 2015-03-11T01:28:45Z <p>Xitvono: /* F2L 34 */</p> <hr /> <div>{{Substep Infobox<br /> |name=F2L<br /> |image=F2Linfo.png<br /> |proposers=[[René Schoof]]<br /> |year=1981<br /> |anames=First Two Layers<br /> |variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others<br /> |subgroup=&lt;nowiki&gt;&lt;U,R,L,F,B&gt;&lt;/nowiki&gt;<br /> |algs=42<br /> |moves=6.7 [[HTM]] a slot<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> |previous=[[Cross cube state]]<br /> |next=[[F2L cube state]]<br /> |previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]<br /> |nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]<br /> <br /> }}<br /> '''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br /> <br /> The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br /> <br /> [[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br /> <br /> &lt;br clear=all&gt;<br /> == Approaches ==<br /> <br /> === Petrus F2L ===<br /> <br /> Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br /> <br /> === Fridrich F2L ===<br /> There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br /> <br /> The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br /> <br /> {{F2L}}<br /> <br /> ==Easy Cases==<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 /> === F2L 1 ===<br /> [[Image:F2L01.png]]<br /> <br /> {{Alg|U (R U' R')|F2L}}<br /> {{Alg|R' F R F'|F2L}}<br /> {{Alg|U2 (R U2 R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 2 ===<br /> [[Image:F2L02.png]]<br /> <br /> {{Alg|y' U' (R' U R)|F2L}}<br /> {{Alg|U' (F' U F)|F2L}}<br /> {{Alg|F R' F' R|F2L}}<br /> {{Alg|d' L' U L|F2L}}<br /> {{Alg|r U R' U' M|F2L}}<br /> {{Alg|(U2) l R U' R' U l'|F2L}}<br /> {{Alg|(U2) l2 F' l' U l'|F2L}}<br /> {{Alg|(U') F R' F' R2 U' R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 3 ===<br /> [[Image:F2L03.png]]<br /> <br /> {{Alg|y' (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L)|F2L}}<br /> {{alg|F' U' F|F2L}}<br /> {{Alg|U M R U' R' U M'|F2L}}<br /> {{Alg|U r' R2 U' R' U M'|F2L}}<br /> <br /> |<br /> <br /> === F2L 4 ===<br /> [[Image:F2L04.png]]<br /> <br /> {{Alg|(R U R')|F2L}}<br /> {{Alg|(U2) L (R U' R') U L'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge==<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 /> === F2L 5 ===<br /> [[Image:F2L05.png]]<br /> <br /> {{Alg|(U' R U R') U2 (R U' R')|F2L}}<br /> {{Alg|(U' R U R') U (R' F R F')|F2L}}<br /> {{Alg|F2 (L' U' L U) F2|F2L}}<br /> {{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br /> {{Alg|U' (R U R') U' R U2 R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 6 ===<br /> [[Image:F2L06.png]]<br /> <br /> {{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br /> {{Alg|U' (r U' R' U) (R U r')|F2L}}<br /> {{Alg|R2 (B U B' U') R2|F2L}}<br /> {{Alg|y F2 (R U R' U') F2|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 7 ===<br /> [[Image:F2L07.png]]<br /> <br /> {{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br /> {{Alg|U' R U2 R' U' R U2 R'|F2L}}<br /> {{Alg|M' U' M U2 r U' r'|F2L}}<br /> {{Alg|R U B U2 B' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 8 ===<br /> [[Image:F2L08.png]]<br /> <br /> {{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br /> {{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br /> {{Alg|y' R' U' F' U2 F U' R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge and Flip Corner==<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 /> === F2L 9 ===<br /> [[Image:F2L09.png]]<br /> <br /> {{Alg|U' R U' R' d R' U' R |F2L}}<br /> {{Alg|d (R' U' R U') (R' U' R)|F2L}}<br /> {{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br /> {{Alg|U r U R' U' R2 r' U' R'|F2L}}<br /> {{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|F (R U R' U') F' R U' R'|F2L}}<br /> {{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br /> {{Alg|y F2 (U R U' R') F2|F2L}}<br /> <br /> |<br /> <br /> === F2L 10 ===<br /> [[Image:F2L10.png]]<br /> <br /> {{Alg|U' (R U R' U)(R U R')|F2L}}<br /> {{Alg|R d' R U R' U2 F'|F2L}}<br /> {{Alg|U F' U F U' R U R'|F2L}}<br /> {{Alg|d R' U R d' R U R'|F2L}}<br /> {{Alg|y2 B2 (U' R' U R) B2|F2L}}<br /> <br /> Back Right Slot Open: R' U R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 11 ===<br /> [[Image:F2L11.png]]<br /> <br /> {{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br /> {{Alg|(y) L' d L' U2 L U2 F|F2L}}<br /> {{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br /> {{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br /> {{Alg|U' l F U' R U l' U R'|F2L}}<br /> |<br /> <br /> === F2L 12 ===<br /> [[Image:F2L12.png]]<br /> <br /> {{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br /> {{Alg|d (R' U2 R) d' (R U R')|F2L}}<br /> {{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br /> {{Alg|R' U2 R2 U R2 U R|F2L}}<br /> {{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br /> {{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}<br /> Back right slot open: R' U2 R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 13 ===<br /> [[Image:F2L13.png]]<br /> <br /> {{Alg|d (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y' U (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|(U F' U F) U' (F' U' F)|F2L}}<br /> {{Alg|M' U' (R U R') U' (R U2 r')|F2L}}<br /> {{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}<br /> {{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}<br /> {{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}<br /> Back right slot open : R' U R F' U' F<br /> <br /> |<br /> <br /> === F2L 14 ===<br /> [[Image:F2L14.png]]<br /> <br /> {{Alg|U' (R U' R' U) (R U R')|F2L}}<br /> {{Alg|d' F U' F' d R U R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Split Pair by Going Over==<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 /> === F2L 15 ===<br /> [[Image:F2L15.png]]<br /> <br /> {{Alg|M U L F' L' U' M'|F2L}}<br /> {{Alg|U (R' F R F') U (R U R')|F2L}}<br /> {{Alg|y' (R' U R U') d' (R U R')|F2L}}<br /> {{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br /> {{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br /> {{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}<br /> {{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}<br /> Front left slot open: U (R U' R') D (R U' R') D'<br /> <br /> Back right slot open: U' (R' U R U') (R U R')<br /> <br /> === F2L 16 ===<br /> [[Image:F2L16.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R)|F2L}}<br /> {{Alg|(R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br /> {{Alg|(U) R (F R U R' U' F') R'|F2L}}<br /> {{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}<br /> {{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}<br /> {{Alg|y M U' R' F R U M' y'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 17 ===<br /> [[Image:F2L17.png]]<br /> <br /> {{Alg|(R U2 R') U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 18 ===<br /> [[Image:F2L18.png]]<br /> <br /> {{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br /> {{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br /> {{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br /> {{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br /> {{Alg|F' U2 F U F' U' F|F2L}}<br /> {{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Pair Made on Side==<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 /> === F2L 19 ===<br /> [[Image:F2L19.png]]<br /> <br /> {{Alg|U R U2 R2 (F R F')|F2L}}<br /> {{Alg|U (R U2 R') U (R U' R')|F2L}}<br /> {{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br /> |<br /> <br /> === F2L 20 ===<br /> [[Image:F2L20.png]]<br /> <br /> {{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br /> {{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br /> {{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br /> {{Alg|d' L' U2 L U' L' U L|F2L}} <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 21 ===<br /> [[Image:F2L21.png]]<br /> {{Alg|(R U' R') U2 (R U R')|F2L}}<br /> {{Alg|U2 (R U R' U)(R U' R')|F2L}}<br /> {{Alg|R B U2 B' R'|F2L}}<br /> {{Alg|U2 R x' U' R U x R2'|F2L}}<br /> {{Alg|U F R U R' U' R' F' R|F2L}}<br /> |<br /> <br /> === F2L 22 ===<br /> [[Image:F2L22.png]]<br /> {{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br /> {{Alg|F' L' U2 L F|F2L}}<br /> {{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}<br /> {{Alg| r U' r' U2 r U r'|F2L}}<br /> {{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br /> {{Alg|d2 y' R' U' R U' R' U R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Weird==<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 /> === F2L 23 ===<br /> [[Image:F2L23.png]]<br /> <br /> {{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br /> {{Alg|U (F R' F' R) U (R U R')|F2L}}<br /> {{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br /> {{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br /> {{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 24 ===<br /> [[Image:F2L24.png]]<br /> <br /> {{Alg|U F' L' U L F R U R'|F2L}}<br /> {{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}<br /> {{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br /> {{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br /> {{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br /> {{Alg|F U (R U' R' F')(R U' R')|F2L}}<br /> {{Alg|d' (F' L F L') U' (L' U' L)|F2L}}<br /> {{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Corner in Place, Edge in U Face==<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 /> === F2L 25 ===<br /> [[Image:F2L25.png]]<br /> <br /> {{Alg|d' (L' U L) d (R U' R')|F2L}}<br /> {{Alg|d' (L' U L) (F' L F L')|F2L}}<br /> {{Alg|y U' (L' U' L) U (F U F')|F2L}}<br /> {{Alg|U' (F' U F) U (R U' R')|F2L}}<br /> {{Alg|U' M' U R U' r' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br /> {{Alg|R' F' R U R U' R' F|F2L}}<br /> {{Alg|(U') F' R U R' U' R' F R|F2L}}<br /> {{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br /> {{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br /> {{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br /> {{Alg|y U R' u' R U' R' U u R|F2L}}<br /> If the back right slot is open:<br /> {{Alg|R2 U' R' U R2|F2L}}<br /> {{Alg|U D' R U' R' D|F2L}}<br /> <br /> <br /> |<br /> <br /> === F2L 26 ===<br /> [[Image:F2L26.png]]<br /> <br /> {{Alg|U (R U' R') d' (L' U L)|F2L}}<br /> {{Alg|U (R U' R') U' (F' U F)|F2L}}<br /> {{Alg|U (R U' R') (F R' F' R)|F2L}}<br /> {{Alg|U R U (r' R U' R' U M')|F2L}}<br /> {{Alg|U R U' M' U R' U' M|F2L}}<br /> {{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br /> {{Alg|y (r U r' U') (r' F r F')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 27 ===<br /> [[Image:F2L27.png]]<br /> <br /> {{Alg|(R U' R' U)(R U' R')|F2L}}<br /> {{Alg|(R U' R2)(F R F')|F2L}}<br /> {{Alg|F' U' F U2 (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 28 ===<br /> [[Image:F2L28.png]]<br /> <br /> {{Alg|(R U R' U') F R' F' R |F2L}}<br /> {{Alg|(R U R') d (R' U2 R) |F2L}}<br /> {{Alg|y' (R' U R U')(R' U R)|F2L}}<br /> {{Alg|(R U R') U (F' U2 F)|F2L}}<br /> {{Alg|R U2 l U' R' U l'|F2L}}<br /> {{Alg|(R U R') U l2 F' l' U l'|F2L}}<br /> {{Alg|(F' U F2)(R' F' R)|F2L}}<br /> {{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 29 ===<br /> [[Image:F2L29.png]]<br /> <br /> {{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br /> {{Alg|(R' F R F')(R' F R F')|F2L}}<br /> {{Alg|M' U R U' r' U (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 30 ===<br /> [[Image:F2L30.png]]<br /> <br /> {{Alg|(R U R' U')(R U R')|F2L}}<br /> {{Alg|U2 (F' U F)(R U R')|F2L}}<br /> {{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge in Place, Corner in U face==<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 /> === F2L 31 ===<br /> [[Image:F2L31.png]]<br /> <br /> {{Alg|(R U' R') d (R' U R)|F2L}}<br /> {{Alg|(R U' R' U)(F' U F)|F2L}}<br /> {{Alg|U' R' F R F' R U' R'|F2L}}<br /> {{Alg|R U' l U' R' U l'|F2L}}<br /> {{Alg|F2 r U r' F R U' R'|F2L}}<br /> {{Alg|R U2 R' U' F R' F' R|F2L}}<br /> |<br /> <br /> === F2L 32 ===<br /> [[Image:F2L32.png]]<br /> <br /> {{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br /> {{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br /> {{Alg|U2 R d' R U R' d R'|F2L}}<br /> {{Alg|U R d' R U2 R' d R'|F2L}}<br /> {{Alg|R2 U R2 U R2 U2 R2|F2L}}<br /> {{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br /> {{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 33 ===<br /> [[Image:F2L33.png]]<br /> <br /> {{Alg|y U' L' U' R' U L U' R|F2L}}<br /> {{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br /> {{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br /> {{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br /> {{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br /> {{Alg|y' U' R D R' U R D' R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 34 ===<br /> [[Image:F2L34.png]]<br /> <br /> {{Alg|U' (R U2' R') U (R U R')|F2L}}<br /> {{Alg|U (R U R') U2 (R U R')|F2L}}<br /> {{Alg|d (R' U R) U2 (R' U R)|F2L}}<br /> {{Alg|y (U L' U L) U2 (L' U L)|F2L}}<br /> {{Alg|U y F U2 R U2 R' F'|F2L}}<br /> Back right slot open:<br /> {{Alg|E' R U R' E|F2L}}<br /> {{Alg|E' U' F' U F E|F2L}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 35 ===<br /> [[Image:F2L35.png]]<br /> <br /> {{Alg|(U' R U R') d (R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br /> {{Alg|U M' U R U' r' R U' R'|F2L}}<br /> {{Alg|U' l U' R U l' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 36 ===<br /> [[Image:F2L36.png]]<br /> <br /> {{Alg|d (R' U' R) d' (R U R')|F2L}}<br /> {{Alg|y U2 (L' U L) U (F U F')|F2L}}<br /> {{Alg|U F' U' F U' (R U R')|F2L}}<br /> {{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge and Corner in Place==<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 /> === F2L 37 ===<br /> [[Image:F2L37.png]]<br /> <br /> Solved<br /> <br /> |<br /> <br /> === F2L 38 ===<br /> [[Image:F2L38.png]]<br /> <br /> {{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br /> {{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br /> {{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br /> <br /> Back right corner free- D' R U R' F R' F' R<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 39 ===<br /> [[Image:F2L39.png]]<br /> <br /> {{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br /> {{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br /> {{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br /> {{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br /> {{Alg|R U' R' F2 L' U' L U F2|F2L}}<br /> {{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}<br /> <br /> === F2L 40 ===<br /> [[Image:F2L40.png]]<br /> <br /> {{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br /> {{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br /> {{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 41 ===<br /> [[Image:F2L41.png]]<br /> <br /> {{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br /> {{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br /> {{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br /> {{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br /> {{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br /> {{Alg|R F (U R U' R' F') U' R'|F2L}}<br /> |<br /> <br /> === F2L 42 ===<br /> [[Image:F2L42.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br /> {{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br /> {{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br /> {{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br /> {{Alg| R U (F R U R' U' F') R'|F2L}} <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> == See also ==<br /> * [[Keyhole First Two Layers]]<br /> * [[Intuitive solving]]<br /> * [[Advanced F2L]]<br /> * [[ZBLS]]<br /> * [[Fridrich Method]]<br /> * [[Petrus Method]]<br /> <br /> == External Resources ==<br /> === Beginner ===<br /> * [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br /> <br /> === Standard ===<br /> * [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br /> * [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br /> * [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br /> * [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br /> * [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br /> * [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br /> * [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]<br /> * [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]<br /> * Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br /> * Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto<br /> <br /> === Advanced ===<br /> * [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br /> * [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br /> * [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br /> <br /> <br /> <br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=OLLCP-A&diff=25773 OLLCP-A 2015-02-27T02:32:24Z <p>Xitvono: /* FR-flip */ changed to lowercase y so alg viewer works.</p> <hr /> <div>'''OLLCP-A''', ''corner permutation and edges orientation of the last layer'', an [[experimental method]] for the [[3x3x3 cube]] that [[permute]]s the [[last layer]] [[corner]]s and [[orient]]s the last layer [[edge]]s preserving [[F2L]]. This is the second last step and the goal is to reach [[EPLL]]. Normally it would be used as a add on to the [[Fridrich method]] the times [[CO]] skips (occures 1:27 times) but it may be used as a second step in a 3-look last layer where the first step is to orient the corners.<br /> <br /> OLLCP-A is a sub group of CEOLL or CLLEO (CLL + EO), the same as OCPLL or [[OLLCP]] (OLL + CP), a very advanced method with more than 300 cases that solves all last layer but EPLL in one look.<br /> <br /> ===See also===<br /> * [[OLL]], [[PLL]], [[CLL]], [[ELL]]<br /> * [[OLLCP]]<br /> * [[Fridrich Method]]<br /> * [http://www.speedsolving.com/forum/showthread.php?t=23005 Thread discussing this method]<br /> * [http://www.speedsolving.com/forum/showthread.php?21210-KCLL Some algorithms]<br /> <br /> =OLLCP-A cases=<br /> There are 15 cases, three of them have corners correctly permuted ([[CLL]] skip) and may be solved in one look using [[ELL]], two has got edges oriented and may be solved in one look using [[PLL]] ([[OLL]] skip). Removing those cases it is only 10 left (2 are mirror cases) and of those 4 may be solved using [[J-PLL]] + M setup and one can be solved using [[Y-PLL]] (or [[V-PLL]]) with a M move setup.<br /> <br /> == Corners permuted ==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> ===Adjacent flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL PA.jpg]]<br /> |<br /> <br /> {{Alg|M U M' U2 M U M'}}<br /> {{Alg|(y2) M' U M U2 M' U M}}<br /> {{Alg|Rw U R' U' M U R U' R'}}<br /> &lt;center&gt;Use [[ELL]] to solve in one look.&lt;/center&gt;<br /> <br /> |}<br /> <br /> |<br /> <br /> ===Opposite flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL PO.jpg]]<br /> |<br /> <br /> {{Alg|(x') M' U' R U M U' R' U (x)}}<br /> {{Alg|(R U R' U') M' (U R U' r')}}<br /> &lt;center&gt;Use [[ELL]] to solve in one look.&lt;/center&gt;<br /> <br /> |}<br /> <br /> |}<br /> {|border=&quot;0&quot; width=&quot;50%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> ===4-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL P4.jpg]]<br /> |<br /> <br /> {{Alg|M' U2 M U2 M' U M U2 M' U2 M (U')}}<br /> {{Alg|r U R' U' M2 U R U' R' U' M' (U)}}<br /> &lt;center&gt;Use [[ELL]] to solve in one look.&lt;/center&gt;<br /> <br /> |}<br /> |}<br /> <br /> == Edges 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 /> ===Adjacent PLL===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL AO.jpg]]<br /> |<br /> <br /> {{Alg|R L U2 R' U' R U2 L' U R' (U')}}<br /> &lt;center&gt;Use [[PLL]] to solve in one look.&lt;/center&gt;<br /> <br /> |}<br /> <br /> |<br /> <br /> ===Diagonal PLL===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL DO.jpg]]<br /> |<br /> <br /> {{Alg|R' U L' U2 R U' L d' L U' R U2 L' U R'}}<br /> &lt;center&gt;Use [[PLL]] to solve in one look.&lt;/center&gt;<br /> <br /> |}<br /> <br /> |}<br /> <br /> == Adjacent corners ==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> ===FR-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL AFR.jpg]]<br /> |<br /> {{Alg|(y) R' F R' F2 L F' L' F2 R2}}<br /> {{Alg|(y' x') (L' U L') U2 (R U' R') U2' L2 (x)}}<br /> {{Alg|r U R' U' r' F R2 U' R' U' R U R' F'}}<br /> |}<br /> <br /> |<br /> <br /> ===RB-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL ARB.jpg]]<br /> |<br /> {{Alg|(y) L F' L F2 R' F R F2 L2}}<br /> {{Alg|(y' x') (R U' R) U2' (L' U L) U2 R2 (x)}}<br /> {{Alg|(y2) l' U' L U l F' L2 U L U L' U' L F}}<br /> |}<br /> <br /> |}<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 /> <br /> ===BL-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL ABL.jpg]]<br /> |<br /> {{Alg|(x') L2 U2 R U R' U2 L U' r}}<br /> {{Alg|(y2 x) R2 U2 L U L' U2 R U' l}}<br /> |}<br /> <br /> |<br /> <br /> ===LF-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL ALF.jpg]]<br /> |<br /> <br /> {{Alg|(x) L2 U2 R' U' R U2 L' U r'}}<br /> {{Alg|r U R' F' R U R' U' R' F R2 U' r'}}<br /> <br /> |}<br /> <br /> |}<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 /> <br /> ===FB-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL AM.jpg]]<br /> |<br /> {{Alg|F R U' R' U R U R2 F' r U R U' r'}}<br /> {{Alg|r U r' F' R U R' U' R' F R r U' r'}}<br /> {{Alg|R U R' F' U' F R2 U' L' U R' U' M' (x')}}<br /> {{Alg|(y) R U R2 U' R' F R F' U F R2 U R' U' F'}}<br /> {{Alg|(y') R' U2 R U2 R' U R U R' F' U' F U' R}}<br /> {{Alg|L U F' U F U L' U L F' U L F L2}}<br /> {{Alg|(y) R U2 r U R' U' r' U F R F' U R'}}<br /> {{Alg|(y) R2 U R2 B L F' U2 F L' B' U' R2}}<br /> <br /> |}<br /> <br /> |<br /> <br /> ===RL-flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL AS.jpg]]<br /> |<br /> {{Alg|(x') R2 U' R' U l' F' U' F R U R'}}<br /> {{Alg|(y) R U' R' F' U F l U' R U R2 (x)}}<br /> |}<br /> <br /> |}<br /> {|border=&quot;0&quot; width=&quot;50%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> ===4-flip (adjacent)===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL A4.jpg]]<br /> |<br /> {{Alg|F R' F R2 U R' U' F2 U' r U' r' F}}<br /> {{Alg|(y') M' U L2 B2 L U R' U2 L U' M R}}<br /> {{Alg|(y2) R2 (y) M' U M (y') l U' R U2 L' U L U2 (x)}}<br /> {{Alg|L2 (y') M' U' M (y) r' U L' U2 R U' R' U2 (x)}}<br /> |}<br /> |}<br /> <br /> == Diagonal corners ==<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 /> <br /> ===Adjacent flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL DFR.jpg]]<br /> |<br /> {{Alg|(y) R b' R2 U' R D' R2 D R' U R2 b R'}}<br /> {{Alg|(y2) S R2 D R' U R D' R2 d' l' U' L}}<br /> |}<br /> |<br /> <br /> ===Opposite flip===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL DM.jpg]]<br /> |<br /> {{Alg|(y) R' U L' U2 R U' (x') U L' U2 R U' L U2 M'}}<br /> {{Alg|L' U l d R2 D R' U' R D' R2 S'}}<br /> {{Alg|(y) R' F' U2 F U' R U R2 F R F' U2 R}}<br /> {{Alg|R U' R2' F R F' R d' R U2 R' F'}}<br /> |}<br /> |}<br /> <br /> {|border=&quot;0&quot; width=&quot;50%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> ===4-flip (diagonal)===<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> |<br /> [[File:CPEOLL D4.jpg]]<br /> |<br /> <br /> {{Alg|R F' U2 R2 F' R F2 R' F R2 U2 F R'}}<br /> {{Alg|R2 U2 M F2 U' R2 U2 F2 U R2 U2 F2 M'}}<br /> {{Alg|x (U R' D' R2 U2' D B2) (U' R' D' R U' R' U' R2 D) x'}}<br /> {{Alg|R' U2 R' F2 R U R U' R' U R' F' R U' F2 U2 R}}<br /> {{Alg|R' U2 F2 U R' F R U' R U R' U' R' F2 R U2 R}}<br /> <br /> |}<br /> |}<br /> <br /> <br /> [[Category:Experimental methods]]<br /> [[Category:3x3x3 methods]]<br /> <br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=25758 First Two Layers 2015-02-19T02:50:42Z <p>Xitvono: /* F2L 34 */</p> <hr /> <div>{{Substep Infobox<br /> |name=F2L<br /> |image=F2Linfo.png<br /> |proposers=[[René Schoof]]<br /> |year=1981<br /> |anames=First Two Layers<br /> |variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others<br /> |subgroup=&lt;nowiki&gt;&lt;U,R,L,F,B&gt;&lt;/nowiki&gt;<br /> |algs=42<br /> |moves=6.7 [[HTM]] a slot<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> |previous=[[Cross cube state]]<br /> |next=[[F2L cube state]]<br /> |previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]<br /> |nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]<br /> <br /> }}<br /> '''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br /> <br /> The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br /> <br /> [[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br /> <br /> &lt;br clear=all&gt;<br /> == Approaches ==<br /> <br /> === Petrus F2L ===<br /> <br /> Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br /> <br /> === Fridrich F2L ===<br /> There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br /> <br /> The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br /> <br /> {{F2L}}<br /> <br /> ==Easy Cases==<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 /> === F2L 1 ===<br /> [[Image:F2L01.png]]<br /> <br /> {{Alg|U (R U' R')|F2L}}<br /> {{Alg|R' F R F'|F2L}}<br /> {{Alg|U2 (R U2 R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 2 ===<br /> [[Image:F2L02.png]]<br /> <br /> {{Alg|y' U' (R' U R)|F2L}}<br /> {{Alg|U' (F' U F)|F2L}}<br /> {{Alg|F R' F' R|F2L}}<br /> {{Alg|d' L' U L|F2L}}<br /> {{Alg|r U R' U' M|F2L}}<br /> {{Alg|(U2) l R U' R' U l'|F2L}}<br /> {{Alg|(U2) l2 F' l' U l'|F2L}}<br /> {{Alg|(U') F R' F' R2 U' R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 3 ===<br /> [[Image:F2L03.png]]<br /> <br /> {{Alg|y' (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L)|F2L}}<br /> {{alg|F' U' F|F2L}}<br /> {{Alg|U M R U' R' U M'|F2L}}<br /> {{Alg|U r' R2 U' R' U M'|F2L}}<br /> <br /> |<br /> <br /> === F2L 4 ===<br /> [[Image:F2L04.png]]<br /> <br /> {{Alg|(R U R')|F2L}}<br /> {{Alg|(U2) L (R U' R') U L'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge==<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 /> === F2L 5 ===<br /> [[Image:F2L05.png]]<br /> <br /> {{Alg|(U' R U R') U2 (R U' R')|F2L}}<br /> {{Alg|(U' R U R') U (R' F R F')|F2L}}<br /> {{Alg|F2 (L' U' L U) F2|F2L}}<br /> {{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br /> {{Alg|U' (R U R') U' R U2 R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 6 ===<br /> [[Image:F2L06.png]]<br /> <br /> {{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br /> {{Alg|U' (r U' R' U) (R U r')|F2L}}<br /> {{Alg|R2 (B U B' U') R2|F2L}}<br /> {{Alg|y F2 (R U R' U') F2|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 7 ===<br /> [[Image:F2L07.png]]<br /> <br /> {{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br /> {{Alg|U' R U2 R' U' R U2 R'|F2L}}<br /> {{Alg|M' U' M U2 r U' r'|F2L}}<br /> {{Alg|R U B U2 B' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 8 ===<br /> [[Image:F2L08.png]]<br /> <br /> {{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br /> {{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br /> {{Alg|y' R' U' F' U2 F U' R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge and Flip Corner==<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 /> === F2L 9 ===<br /> [[Image:F2L09.png]]<br /> <br /> {{Alg|U' R U' R' d R' U' R |F2L}}<br /> {{Alg|d (R' U' R U') (R' U' R)|F2L}}<br /> {{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br /> {{Alg|U r U R' U' R2 r' U' R'|F2L}}<br /> {{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|F (R U R' U') F' R U' R'|F2L}}<br /> {{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br /> {{Alg|y F2 (U R U' R') F2|F2L}}<br /> <br /> |<br /> <br /> === F2L 10 ===<br /> [[Image:F2L10.png]]<br /> <br /> {{Alg|U' (R U R' U)(R U R')|F2L}}<br /> {{Alg|R d' R U R' U2 F'|F2L}}<br /> {{Alg|U F' U F U' R U R'|F2L}}<br /> {{Alg|d R' U R d' R U R'|F2L}}<br /> {{Alg|y2 B2 (U' R' U R) B2|F2L}}<br /> <br /> Back Right Slot Open: R' U R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 11 ===<br /> [[Image:F2L11.png]]<br /> <br /> {{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br /> {{Alg|(y) L' d L' U2 L U2 F|F2L}}<br /> {{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br /> {{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br /> {{Alg|U' l F U' R U l' U R'|F2L}}<br /> |<br /> <br /> === F2L 12 ===<br /> [[Image:F2L12.png]]<br /> <br /> {{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br /> {{Alg|d (R' U2 R) d' (R U R')|F2L}}<br /> {{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br /> {{Alg|R' U2 R2 U R2 U R|F2L}}<br /> {{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br /> {{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}<br /> Back right slot open: R' U2 R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 13 ===<br /> [[Image:F2L13.png]]<br /> <br /> {{Alg|d (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y' U (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|(U F' U F) U' (F' U' F)|F2L}}<br /> {{Alg|M' U' (R U R') U' (R U2 r')|F2L}}<br /> {{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}<br /> {{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}<br /> {{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}<br /> Back right slot open : R' U R F' U' F<br /> <br /> |<br /> <br /> === F2L 14 ===<br /> [[Image:F2L14.png]]<br /> <br /> {{Alg|U' (R U' R' U) (R U R')|F2L}}<br /> {{Alg|d' F U' F' d R U R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Split Pair by Going Over==<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 /> === F2L 15 ===<br /> [[Image:F2L15.png]]<br /> <br /> {{Alg|M U L F' L' U' M'|F2L}}<br /> {{Alg|U (R' F R F') U (R U R')|F2L}}<br /> {{Alg|y' (R' U R U') d' (R U R')|F2L}}<br /> {{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br /> {{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br /> {{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}<br /> {{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}<br /> Front left slot open: U (R U' R') D (R U' R') D'<br /> <br /> Back right slot open: U' (R' U R U') (R U R')<br /> <br /> === F2L 16 ===<br /> [[Image:F2L16.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R)|F2L}}<br /> {{Alg|(R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br /> {{Alg|(U) R (F R U R' U' F') R'|F2L}}<br /> {{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}<br /> {{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}<br /> {{Alg|y M U' R' F R U M' y'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 17 ===<br /> [[Image:F2L17.png]]<br /> <br /> {{Alg|(R U2 R') U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 18 ===<br /> [[Image:F2L18.png]]<br /> <br /> {{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br /> {{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br /> {{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br /> {{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br /> {{Alg|F' U2 F U F' U' F|F2L}}<br /> {{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Pair Made on Side==<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 /> === F2L 19 ===<br /> [[Image:F2L19.png]]<br /> <br /> {{Alg|U R U2 R2 (F R F')|F2L}}<br /> {{Alg|U (R U2 R') U (R U' R')|F2L}}<br /> {{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br /> |<br /> <br /> === F2L 20 ===<br /> [[Image:F2L20.png]]<br /> <br /> {{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br /> {{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br /> {{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br /> {{Alg|d' L' U2 L U' L' U L|F2L}} <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 21 ===<br /> [[Image:F2L21.png]]<br /> {{Alg|(R U' R') U2 (R U R')|F2L}}<br /> {{Alg|U2 (R U R' U)(R U' R')|F2L}}<br /> {{Alg|R B U2 B' R'|F2L}}<br /> {{Alg|U2 R x' U' R U x R2'|F2L}}<br /> {{Alg|U F R U R' U' R' F' R|F2L}}<br /> |<br /> <br /> === F2L 22 ===<br /> [[Image:F2L22.png]]<br /> {{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br /> {{Alg|F' L' U2 L F|F2L}}<br /> {{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}<br /> {{Alg| r U' r' U2 r U r'|F2L}}<br /> {{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br /> {{Alg|d2 y' R' U' R U' R' U R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Weird==<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 /> === F2L 23 ===<br /> [[Image:F2L23.png]]<br /> <br /> {{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br /> {{Alg|U (F R' F' R) U (R U R')|F2L}}<br /> {{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br /> {{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br /> {{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 24 ===<br /> [[Image:F2L24.png]]<br /> <br /> {{Alg|U F' L' U L F R U R'|F2L}}<br /> {{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}<br /> {{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br /> {{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br /> {{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br /> {{Alg|F U (R U' R' F')(R U' R')|F2L}}<br /> {{Alg|d' (F' L F L') U' (L' U' L)|F2L}}<br /> {{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Corner in Place, Edge in U Face==<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 /> === F2L 25 ===<br /> [[Image:F2L25.png]]<br /> <br /> {{Alg|d' (L' U L) d (R U' R')|F2L}}<br /> {{Alg|d' (L' U L) (F' L F L')|F2L}}<br /> {{Alg|y U' (L' U' L) U (F U F')|F2L}}<br /> {{Alg|U' (F' U F) U (R U' R')|F2L}}<br /> {{Alg|U' M' U R U' r' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br /> {{Alg|R' F' R U R U' R' F|F2L}}<br /> {{Alg|(U') F' R U R' U' R' F R|F2L}}<br /> {{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br /> {{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br /> {{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br /> {{Alg|y U R' u' R U' R' U u R|F2L}}<br /> If the back right slot is open:<br /> {{Alg|R2 U' R' U R2|F2L}}<br /> {{Alg|U D' R U' R' D|F2L}}<br /> <br /> <br /> |<br /> <br /> === F2L 26 ===<br /> [[Image:F2L26.png]]<br /> <br /> {{Alg|U (R U' R') d' (L' U L)|F2L}}<br /> {{Alg|U (R U' R') U' (F' U F)|F2L}}<br /> {{Alg|U (R U' R') (F R' F' R)|F2L}}<br /> {{Alg|U R U (r' R U' R' U M')|F2L}}<br /> {{Alg|U R U' M' U R' U' M|F2L}}<br /> {{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br /> {{Alg|y (r U r' U') (r' F r F')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 27 ===<br /> [[Image:F2L27.png]]<br /> <br /> {{Alg|(R U' R' U)(R U' R')|F2L}}<br /> {{Alg|(R U' R2)(F R F')|F2L}}<br /> {{Alg|F' U' F U2 (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 28 ===<br /> [[Image:F2L28.png]]<br /> <br /> {{Alg|(R U R' U') F R' F' R |F2L}}<br /> {{Alg|(R U R') d (R' U2 R) |F2L}}<br /> {{Alg|y' (R' U R U')(R' U R)|F2L}}<br /> {{Alg|(R U R') U (F' U2 F)|F2L}}<br /> {{Alg|R U2 l U' R' U l'|F2L}}<br /> {{Alg|(R U R') U l2 F' l' U l'|F2L}}<br /> {{Alg|(F' U F2)(R' F' R)|F2L}}<br /> {{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 29 ===<br /> [[Image:F2L29.png]]<br /> <br /> {{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br /> {{Alg|(R' F R F')(R' F R F')|F2L}}<br /> {{Alg|M' U R U' r' U (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 30 ===<br /> [[Image:F2L30.png]]<br /> <br /> {{Alg|(R U R' U')(R U R')|F2L}}<br /> {{Alg|U2 (F' U F)(R U R')|F2L}}<br /> {{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge in Place, Corner in U face==<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 /> === F2L 31 ===<br /> [[Image:F2L31.png]]<br /> <br /> {{Alg|(R U' R') d (R' U R)|F2L}}<br /> {{Alg|(R U' R' U)(F' U F)|F2L}}<br /> {{Alg|U' R' F R F' R U' R'|F2L}}<br /> {{Alg|R U' l U' R' U l'|F2L}}<br /> {{Alg|F2 r U r' F R U' R'|F2L}}<br /> {{Alg|R U2 R' U' F R' F' R|F2L}}<br /> |<br /> <br /> === F2L 32 ===<br /> [[Image:F2L32.png]]<br /> <br /> {{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br /> {{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br /> {{Alg|U2 R d' R U R' d R'|F2L}}<br /> {{Alg|U R d' R U2 R' d R'|F2L}}<br /> {{Alg|R2 U R2 U R2 U2 R2|F2L}}<br /> {{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br /> {{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 33 ===<br /> [[Image:F2L33.png]]<br /> <br /> {{Alg|y U' L' U' R' U L U' R|F2L}}<br /> {{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br /> {{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br /> {{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br /> {{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br /> {{Alg|y' U' R D R' U R D' R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 34 ===<br /> [[Image:F2L34.png]]<br /> <br /> {{Alg|U' (R U2' R') U (R U R')|F2L}}<br /> {{Alg|U (R U R') U2 (R U R')|F2L}}<br /> {{Alg|d (R' U R) U2 (R' U R)|F2L}}<br /> {{Alg|y (U L' U L) U2 (L' U L)|F2L}}<br /> Back right slot open:<br /> {{Alg|E' R U R' E|F2L}}<br /> {{Alg|E' U' F' U F E|F2L}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 35 ===<br /> [[Image:F2L35.png]]<br /> <br /> {{Alg|(U' R U R') d (R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br /> {{Alg|U M' U R U' r' R U' R'|F2L}}<br /> {{Alg|U' l U' R U l' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 36 ===<br /> [[Image:F2L36.png]]<br /> <br /> {{Alg|d (R' U' R) d' (R U R')|F2L}}<br /> {{Alg|y U2 (L' U L) U (F U F')|F2L}}<br /> {{Alg|U F' U' F U' (R U R')|F2L}}<br /> {{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge and Corner in Place==<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 /> === F2L 37 ===<br /> [[Image:F2L37.png]]<br /> <br /> Solved<br /> <br /> |<br /> <br /> === F2L 38 ===<br /> [[Image:F2L38.png]]<br /> <br /> {{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br /> {{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br /> {{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 39 ===<br /> [[Image:F2L39.png]]<br /> <br /> {{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br /> {{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br /> {{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br /> {{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br /> {{Alg|R U' R' F2 L' U' L U F2|F2L}}<br /> {{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}<br /> <br /> === F2L 40 ===<br /> [[Image:F2L40.png]]<br /> <br /> {{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br /> {{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br /> {{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 41 ===<br /> [[Image:F2L41.png]]<br /> <br /> {{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br /> {{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br /> {{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br /> {{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br /> {{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br /> {{Alg|R F (U R U' R' F') U' R'|F2L}}<br /> |<br /> <br /> === F2L 42 ===<br /> [[Image:F2L42.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br /> {{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br /> {{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br /> {{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br /> {{Alg| R U (F R U R' U' F') R'|F2L}} <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> == See also ==<br /> * [[Keyhole First Two Layers]]<br /> * [[Intuitive solving]]<br /> * [[Advanced F2L]]<br /> * [[ZBLS]]<br /> * [[Fridrich Method]]<br /> * [[Petrus Method]]<br /> <br /> == External Resources ==<br /> === Beginner ===<br /> * [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br /> <br /> === Standard ===<br /> * [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br /> * [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br /> * [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br /> * [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br /> * [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br /> * [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br /> * [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]<br /> * [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]<br /> * Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br /> * Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto<br /> <br /> === Advanced ===<br /> * [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br /> * [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br /> * [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br /> <br /> <br /> <br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=25757 First Two Layers 2015-02-19T02:49:31Z <p>Xitvono: /* F2L 34 */</p> <hr /> <div>{{Substep Infobox<br /> |name=F2L<br /> |image=F2Linfo.png<br /> |proposers=[[René Schoof]]<br /> |year=1981<br /> |anames=First Two Layers<br /> |variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others<br /> |subgroup=&lt;nowiki&gt;&lt;U,R,L,F,B&gt;&lt;/nowiki&gt;<br /> |algs=42<br /> |moves=6.7 [[HTM]] a slot<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> |previous=[[Cross cube state]]<br /> |next=[[F2L cube state]]<br /> |previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]<br /> |nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]<br /> <br /> }}<br /> '''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br /> <br /> The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br /> <br /> [[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br /> <br /> &lt;br clear=all&gt;<br /> == Approaches ==<br /> <br /> === Petrus F2L ===<br /> <br /> Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br /> <br /> === Fridrich F2L ===<br /> There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br /> <br /> The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br /> <br /> {{F2L}}<br /> <br /> ==Easy Cases==<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 /> === F2L 1 ===<br /> [[Image:F2L01.png]]<br /> <br /> {{Alg|U (R U' R')|F2L}}<br /> {{Alg|R' F R F'|F2L}}<br /> {{Alg|U2 (R U2 R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 2 ===<br /> [[Image:F2L02.png]]<br /> <br /> {{Alg|y' U' (R' U R)|F2L}}<br /> {{Alg|U' (F' U F)|F2L}}<br /> {{Alg|F R' F' R|F2L}}<br /> {{Alg|d' L' U L|F2L}}<br /> {{Alg|r U R' U' M|F2L}}<br /> {{Alg|(U2) l R U' R' U l'|F2L}}<br /> {{Alg|(U2) l2 F' l' U l'|F2L}}<br /> {{Alg|(U') F R' F' R2 U' R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 3 ===<br /> [[Image:F2L03.png]]<br /> <br /> {{Alg|y' (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L)|F2L}}<br /> {{alg|F' U' F|F2L}}<br /> {{Alg|U M R U' R' U M'|F2L}}<br /> {{Alg|U r' R2 U' R' U M'|F2L}}<br /> <br /> |<br /> <br /> === F2L 4 ===<br /> [[Image:F2L04.png]]<br /> <br /> {{Alg|(R U R')|F2L}}<br /> {{Alg|(U2) L (R U' R') U L'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge==<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 /> === F2L 5 ===<br /> [[Image:F2L05.png]]<br /> <br /> {{Alg|(U' R U R') U2 (R U' R')|F2L}}<br /> {{Alg|(U' R U R') U (R' F R F')|F2L}}<br /> {{Alg|F2 (L' U' L U) F2|F2L}}<br /> {{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br /> {{Alg|U' (R U R') U' R U2 R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 6 ===<br /> [[Image:F2L06.png]]<br /> <br /> {{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br /> {{Alg|U' (r U' R' U) (R U r')|F2L}}<br /> {{Alg|R2 (B U B' U') R2|F2L}}<br /> {{Alg|y F2 (R U R' U') F2|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 7 ===<br /> [[Image:F2L07.png]]<br /> <br /> {{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br /> {{Alg|U' R U2 R' U' R U2 R'|F2L}}<br /> {{Alg|M' U' M U2 r U' r'|F2L}}<br /> {{Alg|R U B U2 B' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 8 ===<br /> [[Image:F2L08.png]]<br /> <br /> {{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br /> {{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br /> {{Alg|y' R' U' F' U2 F U' R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge and Flip Corner==<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 /> === F2L 9 ===<br /> [[Image:F2L09.png]]<br /> <br /> {{Alg|U' R U' R' d R' U' R |F2L}}<br /> {{Alg|d (R' U' R U') (R' U' R)|F2L}}<br /> {{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br /> {{Alg|U r U R' U' R2 r' U' R'|F2L}}<br /> {{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|F (R U R' U') F' R U' R'|F2L}}<br /> {{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br /> {{Alg|y F2 (U R U' R') F2|F2L}}<br /> <br /> |<br /> <br /> === F2L 10 ===<br /> [[Image:F2L10.png]]<br /> <br /> {{Alg|U' (R U R' U)(R U R')|F2L}}<br /> {{Alg|R d' R U R' U2 F'|F2L}}<br /> {{Alg|U F' U F U' R U R'|F2L}}<br /> {{Alg|d R' U R d' R U R'|F2L}}<br /> {{Alg|y2 B2 (U' R' U R) B2|F2L}}<br /> <br /> Back Right Slot Open: R' U R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 11 ===<br /> [[Image:F2L11.png]]<br /> <br /> {{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br /> {{Alg|(y) L' d L' U2 L U2 F|F2L}}<br /> {{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br /> {{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br /> {{Alg|U' l F U' R U l' U R'|F2L}}<br /> |<br /> <br /> === F2L 12 ===<br /> [[Image:F2L12.png]]<br /> <br /> {{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br /> {{Alg|d (R' U2 R) d' (R U R')|F2L}}<br /> {{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br /> {{Alg|R' U2 R2 U R2 U R|F2L}}<br /> {{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br /> {{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}<br /> Back right slot open: R' U2 R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 13 ===<br /> [[Image:F2L13.png]]<br /> <br /> {{Alg|d (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y' U (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|(U F' U F) U' (F' U' F)|F2L}}<br /> {{Alg|M' U' (R U R') U' (R U2 r')|F2L}}<br /> {{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}<br /> {{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}<br /> {{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}<br /> Back right slot open : R' U R F' U' F<br /> <br /> |<br /> <br /> === F2L 14 ===<br /> [[Image:F2L14.png]]<br /> <br /> {{Alg|U' (R U' R' U) (R U R')|F2L}}<br /> {{Alg|d' F U' F' d R U R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Split Pair by Going Over==<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 /> === F2L 15 ===<br /> [[Image:F2L15.png]]<br /> <br /> {{Alg|M U L F' L' U' M'|F2L}}<br /> {{Alg|U (R' F R F') U (R U R')|F2L}}<br /> {{Alg|y' (R' U R U') d' (R U R')|F2L}}<br /> {{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br /> {{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br /> {{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}<br /> {{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}<br /> Front left slot open: U (R U' R') D (R U' R') D'<br /> <br /> Back right slot open: U' (R' U R U') (R U R')<br /> <br /> === F2L 16 ===<br /> [[Image:F2L16.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R)|F2L}}<br /> {{Alg|(R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br /> {{Alg|(U) R (F R U R' U' F') R'|F2L}}<br /> {{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}<br /> {{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}<br /> {{Alg|y M U' R' F R U M' y'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 17 ===<br /> [[Image:F2L17.png]]<br /> <br /> {{Alg|(R U2 R') U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 18 ===<br /> [[Image:F2L18.png]]<br /> <br /> {{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br /> {{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br /> {{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br /> {{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br /> {{Alg|F' U2 F U F' U' F|F2L}}<br /> {{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Pair Made on Side==<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 /> === F2L 19 ===<br /> [[Image:F2L19.png]]<br /> <br /> {{Alg|U R U2 R2 (F R F')|F2L}}<br /> {{Alg|U (R U2 R') U (R U' R')|F2L}}<br /> {{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br /> |<br /> <br /> === F2L 20 ===<br /> [[Image:F2L20.png]]<br /> <br /> {{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br /> {{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br /> {{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br /> {{Alg|d' L' U2 L U' L' U L|F2L}} <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 21 ===<br /> [[Image:F2L21.png]]<br /> {{Alg|(R U' R') U2 (R U R')|F2L}}<br /> {{Alg|U2 (R U R' U)(R U' R')|F2L}}<br /> {{Alg|R B U2 B' R'|F2L}}<br /> {{Alg|U2 R x' U' R U x R2'|F2L}}<br /> {{Alg|U F R U R' U' R' F' R|F2L}}<br /> |<br /> <br /> === F2L 22 ===<br /> [[Image:F2L22.png]]<br /> {{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br /> {{Alg|F' L' U2 L F|F2L}}<br /> {{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}<br /> {{Alg| r U' r' U2 r U r'|F2L}}<br /> {{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br /> {{Alg|d2 y' R' U' R U' R' U R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Weird==<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 /> === F2L 23 ===<br /> [[Image:F2L23.png]]<br /> <br /> {{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br /> {{Alg|U (F R' F' R) U (R U R')|F2L}}<br /> {{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br /> {{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br /> {{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 24 ===<br /> [[Image:F2L24.png]]<br /> <br /> {{Alg|U F' L' U L F R U R'|F2L}}<br /> {{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}<br /> {{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br /> {{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br /> {{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br /> {{Alg|F U (R U' R' F')(R U' R')|F2L}}<br /> {{Alg|d' (F' L F L') U' (L' U' L)|F2L}}<br /> {{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Corner in Place, Edge in U Face==<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 /> === F2L 25 ===<br /> [[Image:F2L25.png]]<br /> <br /> {{Alg|d' (L' U L) d (R U' R')|F2L}}<br /> {{Alg|d' (L' U L) (F' L F L')|F2L}}<br /> {{Alg|y U' (L' U' L) U (F U F')|F2L}}<br /> {{Alg|U' (F' U F) U (R U' R')|F2L}}<br /> {{Alg|U' M' U R U' r' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br /> {{Alg|R' F' R U R U' R' F|F2L}}<br /> {{Alg|(U') F' R U R' U' R' F R|F2L}}<br /> {{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br /> {{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br /> {{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br /> {{Alg|y U R' u' R U' R' U u R|F2L}}<br /> If the back right slot is open:<br /> {{Alg|R2 U' R' U R2|F2L}}<br /> {{Alg|U D' R U' R' D|F2L}}<br /> <br /> <br /> |<br /> <br /> === F2L 26 ===<br /> [[Image:F2L26.png]]<br /> <br /> {{Alg|U (R U' R') d' (L' U L)|F2L}}<br /> {{Alg|U (R U' R') U' (F' U F)|F2L}}<br /> {{Alg|U (R U' R') (F R' F' R)|F2L}}<br /> {{Alg|U R U (r' R U' R' U M')|F2L}}<br /> {{Alg|U R U' M' U R' U' M|F2L}}<br /> {{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br /> {{Alg|y (r U r' U') (r' F r F')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 27 ===<br /> [[Image:F2L27.png]]<br /> <br /> {{Alg|(R U' R' U)(R U' R')|F2L}}<br /> {{Alg|(R U' R2)(F R F')|F2L}}<br /> {{Alg|F' U' F U2 (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 28 ===<br /> [[Image:F2L28.png]]<br /> <br /> {{Alg|(R U R' U') F R' F' R |F2L}}<br /> {{Alg|(R U R') d (R' U2 R) |F2L}}<br /> {{Alg|y' (R' U R U')(R' U R)|F2L}}<br /> {{Alg|(R U R') U (F' U2 F)|F2L}}<br /> {{Alg|R U2 l U' R' U l'|F2L}}<br /> {{Alg|(R U R') U l2 F' l' U l'|F2L}}<br /> {{Alg|(F' U F2)(R' F' R)|F2L}}<br /> {{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 29 ===<br /> [[Image:F2L29.png]]<br /> <br /> {{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br /> {{Alg|(R' F R F')(R' F R F')|F2L}}<br /> {{Alg|M' U R U' r' U (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 30 ===<br /> [[Image:F2L30.png]]<br /> <br /> {{Alg|(R U R' U')(R U R')|F2L}}<br /> {{Alg|U2 (F' U F)(R U R')|F2L}}<br /> {{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge in Place, Corner in U face==<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 /> === F2L 31 ===<br /> [[Image:F2L31.png]]<br /> <br /> {{Alg|(R U' R') d (R' U R)|F2L}}<br /> {{Alg|(R U' R' U)(F' U F)|F2L}}<br /> {{Alg|U' R' F R F' R U' R'|F2L}}<br /> {{Alg|R U' l U' R' U l'|F2L}}<br /> {{Alg|F2 r U r' F R U' R'|F2L}}<br /> {{Alg|R U2 R' U' F R' F' R|F2L}}<br /> |<br /> <br /> === F2L 32 ===<br /> [[Image:F2L32.png]]<br /> <br /> {{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br /> {{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br /> {{Alg|U2 R d' R U R' d R'|F2L}}<br /> {{Alg|U R d' R U2 R' d R'|F2L}}<br /> {{Alg|R2 U R2 U R2 U2 R2|F2L}}<br /> {{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br /> {{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 33 ===<br /> [[Image:F2L33.png]]<br /> <br /> {{Alg|y U' L' U' R' U L U' R|F2L}}<br /> {{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br /> {{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br /> {{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br /> {{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br /> {{Alg|y' U' R D R' U R D' R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 34 ===<br /> [[Image:F2L34.png]]<br /> <br /> {{Alg|U' (R U2' R') U (R U R')|F2L}}<br /> {{Alg|U (R U R') U2 (R U R')|F2L}}<br /> {{Alg|d (R' U R) U2 (R' U R)|F2L}}<br /> {{Alg|y (U L' U L) U2 (L' U L)|F2L}}<br /> Back right slot open:<br /> {{Alg|E' R U R' E}}<br /> {{Alg|E' U' F' U F E}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 35 ===<br /> [[Image:F2L35.png]]<br /> <br /> {{Alg|(U' R U R') d (R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br /> {{Alg|U M' U R U' r' R U' R'|F2L}}<br /> {{Alg|U' l U' R U l' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 36 ===<br /> [[Image:F2L36.png]]<br /> <br /> {{Alg|d (R' U' R) d' (R U R')|F2L}}<br /> {{Alg|y U2 (L' U L) U (F U F')|F2L}}<br /> {{Alg|U F' U' F U' (R U R')|F2L}}<br /> {{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge and Corner in Place==<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 /> === F2L 37 ===<br /> [[Image:F2L37.png]]<br /> <br /> Solved<br /> <br /> |<br /> <br /> === F2L 38 ===<br /> [[Image:F2L38.png]]<br /> <br /> {{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br /> {{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br /> {{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 39 ===<br /> [[Image:F2L39.png]]<br /> <br /> {{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br /> {{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br /> {{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br /> {{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br /> {{Alg|R U' R' F2 L' U' L U F2|F2L}}<br /> {{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}<br /> <br /> === F2L 40 ===<br /> [[Image:F2L40.png]]<br /> <br /> {{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br /> {{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br /> {{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 41 ===<br /> [[Image:F2L41.png]]<br /> <br /> {{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br /> {{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br /> {{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br /> {{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br /> {{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br /> {{Alg|R F (U R U' R' F') U' R'|F2L}}<br /> |<br /> <br /> === F2L 42 ===<br /> [[Image:F2L42.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br /> {{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br /> {{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br /> {{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br /> {{Alg| R U (F R U R' U' F') R'|F2L}} <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> == See also ==<br /> * [[Keyhole First Two Layers]]<br /> * [[Intuitive solving]]<br /> * [[Advanced F2L]]<br /> * [[ZBLS]]<br /> * [[Fridrich Method]]<br /> * [[Petrus Method]]<br /> <br /> == External Resources ==<br /> === Beginner ===<br /> * [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br /> <br /> === Standard ===<br /> * [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br /> * [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br /> * [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br /> * [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br /> * [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br /> * [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br /> * [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]<br /> * [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]<br /> * Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br /> * Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto<br /> <br /> === Advanced ===<br /> * [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br /> * [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br /> * [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br /> <br /> <br /> <br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=25714 CLL algorithms (3x3x3) 2015-02-16T05:05:35Z <p>Xitvono: /* S U */</p> <hr /> <div>{{Method Infobox<br /> |name=CLL<br /> |image=CLL(3x3).png<br /> |proposers=[[Guus Razoux Schultz]]<br /> |year=1981<br /> |anames=<br /> |variants=[[COLL]], [[CMLL]]<br /> |steps=1<br /> |algs=40 + 2<br /> |moves=9.18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> }}<br /> '''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br /> <br /> ===See also:===<br /> * [[CLL algorithms (2x2x2)]]<br /> * [[CxLL]]<br /> * [[CFCE]]<br /> * [[ELL]]<br /> <br /> {{3CLL}}<br /> &lt;br clear=all&gt;<br /> =Algorithms=<br /> {{Algnote}}<br /> See [[CxLL#The lists|CxLL]] for information about the diagrams.<br /> <br /> The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br /> ==U cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U U ===<br /> {{CxLLCase<br /> |image=CxLL U U.jpg<br /> |name=U U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br /> |recog=For all U cases look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br /> {{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === U D ===<br /> {{CxLLCase<br /> |image=CxLL U D.jpg<br /> |name=U D<br /> |prob=4:162<br /> |optimal=6<br /> |descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br /> |recog=For all U cases you look at two &quot;bars&quot; of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R U R' U' F'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === U R ===<br /> {{CxLLCase<br /> |image=CxLL U R.jpg<br /> |name=U R<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U L, inverse of L L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br /> {{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U F ===<br /> {{CxLLCase<br /> |image=CxLL U F.jpg<br /> |name=U F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, inverse of T F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br /> {{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === U L ===<br /> {{CxLLCase<br /> |image=CxLL U L.jpg<br /> |name=U L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of U R, inverse of L F<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === U B ===<br /> {{CxLLCase<br /> |image=CxLL U B.jpg<br /> |name=U B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br /> {{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br /> {{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==T cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T U ===<br /> {{CxLLCase<br /> |image=CxLL T U.jpg<br /> |name=T U<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of U U,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br /> {{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br /> {{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === T D ===<br /> {{CxLLCase<br /> |image=CxLL T D.jpg<br /> |name=T D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br /> {{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br /> {{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === T R ===<br /> {{CxLLCase<br /> |image=CxLL T R.jpg<br /> |name=T R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T L, inverse of L R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br /> {{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br /> {{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br /> {{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T F ===<br /> {{CxLLCase<br /> |image=CxLL T F.jpg<br /> |name=T F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Self mirroring, Inverse of U F,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === T L ===<br /> {{CxLLCase<br /> |image=CxLL T L.jpg<br /> |name=T L<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of T R, inverse of L L, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br /> {{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br /> {{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br /> {{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === T B ===<br /> {{CxLLCase<br /> |image=CxLL T B.jpg<br /> |name=T B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br /> {{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br /> {{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br /> {{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==L cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L U ===<br /> {{CxLLCase<br /> |image=CxLL L U.jpg<br /> |name=L U, Triple [[Sune]]<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br /> {{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br /> {{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br /> {{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L D ===<br /> {{CxLLCase<br /> |image=CxLL L D.jpg<br /> |name=L D<br /> |prob=4:162<br /> |optimal=9<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br /> {{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br /> L' U' L R U2 L' U' L U2 R'<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === L R ===<br /> {{CxLLCase<br /> |image=CxLL L R.jpg<br /> |name=L R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L B, inverse of T R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br /> {{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br /> {{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === L F ===<br /> {{CxLLCase<br /> |image=CxLL L F.jpg<br /> |name=L F<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L L, inverse of U L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br /> {{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === L L ===<br /> {{CxLLCase<br /> |image=CxLL L L.jpg<br /> |name=L L<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Mirror of L F, Inverse of U R <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br /> {{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === L B ===<br /> {{CxLLCase<br /> |image=CxLL L B.jpg<br /> |name=L B<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of L R, inverse of T L,<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br /> {{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==S cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S U ===<br /> {{CxLLCase<br /> |image=CxLL aS U.jpg<br /> |name=S U, [[Sune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, mirror/inverse of -S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br /> {{Alg|L' U2 L U L' U L|stage=CLL}}<br /> {{Alg|l' U2 L U L' U l|stage=CLL}}<br /> {{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br /> {{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S D ===<br /> {{CxLLCase<br /> |image=CxLL aS D.jpg<br /> |name=S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of -S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br /> {{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === S R ===<br /> {{CxLLCase<br /> |image=CxLL aS R.jpg<br /> |name=S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S F, inverse of -S R. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S F ===<br /> {{CxLLCase<br /> |image=CxLL aS F.jpg<br /> |name=S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of -S R, inverse of -S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === S L ===<br /> {{CxLLCase<br /> |image=CxLL aS L.jpg<br /> |name=S L, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of -S B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br /> {{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br /> {{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br /> {{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br /> {{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === S B ===<br /> {{CxLLCase<br /> |image=CxLL aS B.jpg<br /> |name=S B, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of -S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br /> {{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==aS cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === -S U ===<br /> {{CxLLCase<br /> |image=CxLL S U.jpg<br /> |name=-S U, [[Antisune]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Only orientation, Mirror/inverse of S U<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U' R U' R' U2 R|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br /> {{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S D ===<br /> {{CxLLCase<br /> |image=CxLL S D.jpg<br /> |name=-S D<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/inverse of S D<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br /> {{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br /> {{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S R ===<br /> {{CxLLCase<br /> |image=CxLL S R.jpg<br /> |name=-S R<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S F, inverse of S R, <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br /> {{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === -S F ===<br /> {{CxLLCase<br /> |image=CxLL S F.jpg<br /> |name=-S F<br /> |prob=4:162<br /> |optimal=8<br /> |descript=Mirror of S R, inverse of S F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br /> {{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === -S L ===<br /> {{CxLLCase<br /> |image=CxLL S L.jpg<br /> |name=-S L, [[Niklas]]<br /> |prob=4:162<br /> |optimal=7<br /> |descript=Mirror/inverse of S B.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' U L U' R U L'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === -S B ===<br /> {{CxLLCase<br /> |image=CxLL S B.jpg<br /> |name=-S B, Anti Niklas<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Mirror/inverse of S L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br /> {{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br /> {{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br /> L2 B' L2 B' R B L2 B' R' B2 L2<br /> }}<br /> |}<br /> <br /> ==H cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === H U ===<br /> {{CxLLCase<br /> |image=CxLL H U.jpg<br /> |name=H U, Double [[Sune]]<br /> |prob=2:162<br /> |optimal=11<br /> |descript=Only orientation. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H D ===<br /> {{CxLLCase<br /> |image=CxLL H D.jpg<br /> |name=H D, Triple FRURUF<br /> |prob=2:162<br /> |optimal=11<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|F (R U R' U')3 F'|stage=CLL}}<br /> {{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === H R ===<br /> {{CxLLCase<br /> |image=CxLL H R.jpg<br /> |name=H R / H L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of pi B. <br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> === H F ===<br /> {{CxLLCase<br /> |image=CxLL H F.jpg<br /> |name=H F / H B<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of pi F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br /> {{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br /> {{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br /> }}<br /> |}<br /> <br /> ==pi cases==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> === pi U ===<br /> {{CxLLCase<br /> |image=CxLL Pi U imp.jpg<br /> |name=pi U, [[Bruno]]<br /> |prob=4:162<br /> |optimal=9<br /> |descript=Only orientation.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br /> {{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br /> {{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi D ===<br /> {{CxLLCase<br /> |image=CxLL pi D.jpg<br /> |name=pi D<br /> |prob=4:162<br /> |optimal=10<br /> |descript=2-cycle, self mirror and self inverse.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br /> {{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br /> {{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br /> {{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi R ===<br /> {{CxLLCase<br /> |image=CxLL pi R.jpg<br /> |name=pi R<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi L.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br /> {{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br /> {{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi F ===<br /> {{CxLLCase<br /> |image=CxLL pi F.jpg<br /> |name=pi F<br /> |prob=4:162<br /> |optimal=10<br /> |descript=Inverse of H F.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br /> {{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br /> <br /> }}<br /> |-valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> <br /> === pi L ===<br /> {{CxLLCase<br /> |image=CxLL pi L.jpg<br /> |name=pi L<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Mirror/Inverse of pi R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br /> {{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br /> {{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br /> }}<br /> | width=&quot;50%&quot; |<br /> <br /> === pi B ===<br /> {{CxLLCase<br /> |image=CxLL pi B.jpg<br /> |name=pi B<br /> |prob=4:162<br /> |optimal=11<br /> |descript=Inverse of H R.<br /> |recog=!<br /> |algs=&lt;br&gt;<br /> {{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br /> }}<br /> |}<br /> {{3CLL}}<br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=Corner_Orientation&diff=25521 Corner Orientation 2015-02-02T21:26:31Z <p>Xitvono: /* L */</p> <hr /> <div>{{Substep Infobox<br /> |name=Corner Orientation<br /> |image=COinfo.png<br /> |anames=CO<br /> |variants=[[OCLL]]<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[BLD]], [[FMC]]<br /> }}<br /> '''Corner Orientation''', abbrevaited '''CO''', the [[orientation]] of a [[cube]]'s [[corner]]s. There are three possible corner cubie orientations. CO is a [[substep]] in many [[method]]s.<br /> <br /> For the [[last layer]] of the [[3x3x3 cube]] there are three main variations used for the seven cases of CO, one that is named [[Corner Orientation#Pure CO|pure CO]] wich orients the corners without affecting anything else, not even corner permutation, one preserves edge orientation wich is [[OCLL]] (OLL 21 - 27) and the last variation orients the corners ignoring edges (use any [[OLL]] that twists the same corners for that).<br /> <br /> The separation of the corners to their correct layers on the [[Square-1]] is often wrongly named &quot;corner orientation&quot;.<br /> <br /> '''Algorithms'''; at this page you can find algortihms for two diffrent variations of CO;<br /> * [[Corner Orientation#Pure CO|Pure CO]]: orients corners preserving edge orientation and both corner and edge permutation.<br /> * [[Corner Orientation#OCLL-EPP|OCLL-EPP]]: orients corners preserving edge orientation and permutation for the edges but not the corners (this method is seldomly used).<br /> <br /> == See also ==<br /> * [[Orientation]]<br /> * [[Permutation]]<br /> * [[Edge Orientation]]<br /> * [[Corner Permutation]]<br /> * [[OCLL]]<br /> * [[Winter Variation]]<br /> * [[CLS]]<br /> * [[Partial Corner Control]]<br /> = Pure CO =<br /> '''Usage:''' Besides that these cases are a group in [[L4C]], [[L3C]], [[ZBLL]], [[ZZLL]];<br /> <br /> [[3OP]] is a [[blindfold method]] that orients the pieces before they are placed into position, the algorithms here solves the corner orientation in at the most 3 steps, first, if needed two pieces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom layer. ''Algs for pure orientation of the edges can be found at the [[ELL|ELL page]]''.<br /> <br /> Any other BLD method, to fix orientation for corners that are in position but unoriented from the scramble (a few setup moves to get the pieces into the same layer may be needed then).<br /> <br /> For [[FMC]] to solve the last pieces (but that won't give any WR, better to try some diffrent start of the last layer that gives a easier case in the end).<br /> <br /> ===Algorithms===<br /> All cases here have long [[algorithm]]s, the H case is actually the worst LL case of them all and the pi case is second worst. The good thing is that all cases are solveable using only two sides (RU [[2-gen]]). There are diffrent sections for diffrent types of algorithms, first is optimal 2-gen followed by 2-gens of any length. All cases can be solved using two or more [[Sune]], the third section is for these combinations (double, anti and mirrors included). Next comes algs optimal in [[Half Turn Metric]], using as many sides that is needed for that (2-6) and the last section is for any other alg that solves the case.<br /> <br /> {{Algnote}}<br /> <br /> ==Two corners unoriented==<br /> Note that the T-twist is the same case as the U-twist if you reorient the cube (for these images that will be z' y2).<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === U ===<br /> {{case |image=Pure twist U.jpg<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U2 R' U R' U2 R U2 R U R' U' R' U R (U2)}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R' U2 R U' R U2 R' U2 R' U' R U R U' R' (U2)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(R U2 R' U' R U' R') (L' U2 L U L' U L)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|F U' R2 U R2 U F U' F2 D R2 D' R2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(x) U2 R' U' R U' R' L' U2 L U L' U L R (x')}}<br /> {{Alg|(z') (U R U' R')2 L' (R U R' U')2 L (z)}}<br /> {{Alg|(y2) (R U R' U')2 L' (U R U' R')2 L}}<br /> {{Alg|(F D' F' R' D' R) U (R' D R F D F') U'}}<br /> <br /> |<br /> <br /> === T ===<br /> {{case |image=Pure twist T.jpg<br /> |name=T<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|(U) R2 U' R U' R2 U R2 U R U' R' U' R U R2}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(U2) R U R' U' R' U R U2 R U2 R' U R' U2 R}}<br /> {{Alg|(U2) R' U' R U' R' U2 R U2 R U R' U R U2 R'}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(L' U' L U' L' U2 L) (R U R' U R U2 R')}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R2 U' B R2 D' R2 D B2 U' B U R2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(z') (R U R' U')2 L' (U R U' R')2 L (z)}}<br /> {{Alg|(y2) (U R U' R')2 L' (R U R' U')2 L}}<br /> {{Alg|(R' D R F D F') U (F D' F' R' D' R) U'}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === L ===<br /> {{case |image=Pure twist L.jpg<br /> |name=L, Bowtie<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U' R' U2 R' U2 R U R' U R U2 R U2 R' (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(U') R U2 R' U2 R' U' R U R U' R' U2 R' U2 R}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|B' (R U2 R' U' R U' R') (L' U2 L U L' U L) B}}<br /> <br /> '''HTM optimal:''' &lt;small&gt;(12 move commutator)&lt;/small&gt;<br /> {{Alg|U2 (R' B D2 B' R) U2 (R' B D2 B' R)}}<br /> {{Alg|(F L' D2 L F') U2 (F L' D2 L F') U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|R U' R' L' U2 L U L' U L R U2 R' U'}}<br /> {{Alg|y' R' U L U' R U2 y' R' U' R F' R' U R U2}}<br /> {{Alg|(F D' F' R' D' R) U2 (R' D R F D F') U2}}<br /> <br /> |<br /> |}<br /> <br /> ==Three corners unoriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === S ===<br /> {{case |image=Pure twist S.jpg<br /> |name=S, Sune<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U R' U R2 U R' U R2 U R' U R U2 R U2 R2}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R U R2 U' R2 U R U R' U' R U R U R U' R' (U)}}<br /> {{Alg|(R U R' U') R' U' R' U' (R U R' U') R2 U2 R2 U2 R' (U')}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(U') (R' U2 R U R' U' R U R' U R) (U) (R U2 R' U' R U' R') (U2)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U' B U' F U2 B2 D' R2 U D F' U' B}}<br /> <br /> '''Any other:'''<br /> {{Alg|(y) U2 R' U2 R U R' U R' d' M' U2 M d' L2 (y) }}<br /> <br /> |<br /> <br /> === -S ===<br /> {{case |image=Pure twist aS.jpg<br /> |name=-S, Antisune<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R2 U2 R' U2 R' U' R U' R2 U' R U' R2 U' R U' R}}<br /> {{Alg|(U2) R U' R2 U' R U' R' U2 R' U2 R' U' R U' R2 (U)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(U2) (R U2 R' U' R U R' U' R U' R') (U') (R' U2 R U R' U R) (U)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R' U L U' D' F2 D R2 U2 L' U R'}}<br /> <br /> '''Any other:'''<br /> {{Alg|U2 R U2 R' U' R U' R d M U2 M' d L2}}<br /> <br /> |}<br /> <br /> ==Four corners unoriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === H ===<br /> {{case |image=Pure twist H.jpg<br /> |name=H<br /> |methods=[[L4C]], [[BLD]]<br /> |optimal=16 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R2 U' R2 U' R U2 R U2 R U' R2 U' R2 U R (U)}}<br /> {{Alg|R' U' R2 U R2 U R' U2 R' U2 R' U R2 U R2 U' R' (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(y) (R U R' U) (R U' R' U) (R U2') (R U' R' U') (R U R U) (R U' R)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|!}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R U2 F2 R' U' F R' U2 F' U2 R2 F U R' F U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(r U2 R' U' R U R' U' R U' r') (M U' M' U2 M U' M')}}<br /> {{Alg|(r' U2 R U R' U' R U R' U r) (M' U M U2 M' U M)}}<br /> {{Alg|(L' U' L U' L' U L U' L' U2 L) (R U R' U R U' R' U R U2' R')}}<br /> {{Alg|F U R d' R U' R' d R' U R d' R U' R' d l' U' (x')}}<br /> {{Alg|d R2 U2 R' (y x) M2 U M2 U (x' y') U2 R2 d' M2 U M2}}<br /> <br /> |<br /> <br /> === pi ===<br /> {{case |image=Pure twist pi.jpg<br /> |name=pi, Bruno<br /> |methods=[[L4C]], [[BLD]]<br /> |optimal=15 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' (U)}}<br /> {{Alg|R' U' R2 U R2 U R2 U2 R2 U R U' R' U2 R (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(y) R U2 R' U' R U R2 U2 R2 U R2 U R2 U' R' (U')}}<br /> {{Alg|(y') R' U2 R U R' U' R2 U2 R2 U' R2 U' R2 U R (U)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|!}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R L' D' R2 U2 R' D R2 U2 L U' L2 B2 L2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(y) R' U' (R' F R F') (R U' R' U) (R' F R F') R U' R' U2 R}}<br /> {{Alg|B (U L U' L') (U L U') L2 (x') U' M' U L U' M (x)}}<br /> {{Alg|(y2) F U R U' R' U R U' R' F' r U R' U' M U R U' R'}}<br /> {{Alg|(y' x) U' L U2 R' U2 L' U2 R U' (x' y') M' U' M U2 M' U' M U2}}<br /> <br /> |}<br /> <br /> = OCLL-EPP =<br /> '''Orientation of the corners of the last layer - edges permutation preserved'''; orients the [[last layer]] corners preserving edge permutation but ignoring corner permutation.<br /> <br /> '''Usage'''; to solve the [[last four corners]] in two looks if the edges are solved (3-look [[LLEF]], OCLL-EPP and [[CPLL]], total 26 algs. 4-look [[EO]], [[EP]], OCLL-EPP and CPLL, total 16 algs).<br /> <br /> Average movecount is 9.63 turns optimally, CPLL is 9.12 turns optimally wich gives 19 moves on average for solving L4C in 2-looks like this.<br /> <br /> ===Algorithms===<br /> {{Algnote}}<br /> <br /> ==Two corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === U (EPP) ===<br /> {{case |image=OCLL-EPP U.jpg<br /> |name=U, Headlights, Superman<br /> |methods=2-look [[L4C]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U' R' U2 R' U2 R U R' U R U2 R U2 R' U' R}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R2 D' R U2 R' D R U2 R}}<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'}}<br /> {{Alg|(z' y') U2 R2 U' L2 U R2 U' L2 U' (y z)}}<br /> <br /> '''Any other:'''<br /> {{Alg|R U2 R2 U L U' R2 U L' U R'}}<br /> {{Alg|R' U2 R F' R' F U2 F' R F}}<br /> <br /> |<br /> <br /> <br /> === T (EPP) ===<br /> {{case |image=OCLL-EPP T.jpg<br /> |name=T<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U' R' U R U2 R U2 R' U R' U2 R U2 R U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R' F' R B' R' F R B}}<br /> {{Alg|(x) R' U' R D' R' U R D (x')}}<br /> {{Alg|(x') R' D' R U' R' D R U (x)}}<br /> {{Alg|(y') r U R' U' r' F R F'}}<br /> {{Alg|(y) l U L' U' R' U L U' (x)}}<br /> <br /> '''Any other:'''<br /> {{Alg|F U F' R' F U' F' U R U'}}<br /> {{Alg|(y') R U R' U' L' U R U' M' (x')}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === L (EPP) ===<br /> {{case |image=OCLL-EPP L.jpg<br /> |name=L, Bowtie<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U' R2 U2 R2 U R U' R U R2 U2 R2 U' R' U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R B' R' F R B R' F'}}<br /> {{Alg|(y) F R' F' r U R U' r'}}<br /> {{Alg|(x') U' R U L' U' R' U r}}<br /> <br /> '''Any other:'''<br /> {{Alg|U' F U R' U' R F' R' U R}}<br /> {{Alg|R U R U' L' U R' U' M' (x')}}<br /> <br /> |<br /> |}<br /> <br /> ==Three corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === S (EPP) ===<br /> {{case |image=OCLL-EPP S.jpg<br /> |name=S, Sune<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R U' L' U R' U' L U}}<br /> <br /> '''Any other:'''<br /> {{Alg|!}}<br /> <br /> |<br /> <br /> === -S (EPP) ===<br /> {{case |image=OCLL-EPP aS.jpg<br /> |name=-S, Antisune<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U2 R U2 R2 U' R2 U' R' U R' U R}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U' L' U R U' L U R'}}<br /> <br /> '''Any other:'''<br /> {{Alg|!}}<br /> <br /> |}<br /> <br /> ==Four corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === H (EPP) ===<br /> {{case |image=OCLL-EPP H.jpg<br /> |name=H<br /> |methods=2-look [[L4C]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R' U' R' U2 R' U R U' R U2 R2 U2 R' U'}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R' F2 R2 U2 R' F2 R U2 R2 F2 R U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|F (R U R' U')3 F'}}<br /> <br /> |<br /> <br /> === pi (EPP) ===<br /> {{case |image=OCLL-EPP pi.jpg<br /> |name=pi, Bruno<br /> |methods=2-look [[L4C]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U' R U R' U R' U' R2 U R' U' R U' R2 U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R F' D2 F R' U' R F' D2 F R' U}}<br /> <br /> '''Any other:'''<br /> {{Alg|R' U L U' R U L2 U R U' L U R' U2}}<br /> {{Alg|L U' R' U L' U' R2 U' L' U R' U' L U2}}<br /> <br /> |}<br /> <br /> [[Category:Puzzle theory]]<br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__<br /> <br /> == OLC Algorithms ==<br /> <br /> '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZ-reduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL.<br /> <br /> Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> Odds of skipping this step are 1/27.<br /> <br /> {{Algnote}}<br /> <br /> === OLC 1 ===<br /> Probability 4/27<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L|OLL}}<br /> {{Alg|y2 R' U L U' R U L'|OLL}}<br /> {{Alg|U R U' L' U R' U' L|OLL}}<br /> <br /> <br /> === OLC 2 ===<br /> Probability 4/27<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'|OLL}}<br /> <br /> <br /> === OLC 3 ===<br /> Probability 2/27<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'|OLL}}<br /> {{Alg|R U2 R' F R' F' R F2 L F L' F|OLL}}<br /> <br /> === OLC 4 ===<br /> Probability 4/27<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'|OLL}}<br /> {{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2|OLL}}<br /> <br /> === OLL 23 ===<br /> Probability 4/27<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|y' F L' D2 L U2 L' D2 L U2 F'|OLL}}<br /> {{Alg|y' B L2 B R2 B F2 R2 B L2 F2|OLL}}<br /> {{Alg|y' B' F2 R2 B L2 B' R2 B L2 F2|OLL}}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|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|R2 D R' U2' R D' R' U2 R'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 U z'|OLL}}<br /> {{Alg|y2 R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> {{Alg|y' F' L2 F' R2 B2 F' R2 F' L2 B2|OLL}}<br /> <br /> === OLL 24 ===<br /> Probability 4/27<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<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' x') R U R' D R U' R' D'|OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|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' L F R F' L' F|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 /> === OLL 25 ===<br /> Probability 4/27<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R|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 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|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|R' F' L' F R F' L F|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')2 R U' 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 /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=EOLL&diff=25496 EOLL 2015-01-29T06:23:11Z <p>Xitvono: </p> <hr /> <div>{{Substep Infobox<br /> |name=EOLL<br /> |image=<br /> |proposers=<br /> |year=<br /> |anames=[[Edges orientation of last layer]]<br /> |variants=[[BLL Beginner EO]], [[OELL]], [[OLL-E]], [[EO (Ignore C)]]<br /> |subgroup=<br /> |algs=<br /> |moves=<br /> |purpose=<br /> |previous=[[F2L cube state]]<br /> |next=[[LL:EO cube state]]<br /> }}<br /> <br /> '''Edges orientation of last layer''', normally '''EOLL''', is [[orient]]ing the [[edge]]s of the [[last layer]]. EOLL can be of three types: the most basic is when corners are ignored compleatly, the second level preserves corner orientation (the usal [[OLL]]'s) and the highest level also preserves corner permutation.<br /> <br /> == EOLL ignoring corners ==<br /> <br /> Two adjacent edges flipped<br /> {{Alg| F U R U' R' F'|OLL}}<br /> <br /> Two opposite edges flipped<br /> {{Alg| F R U R' U' F'|OLL}}<br /> <br /> Four edges flipped<br /> {{Alg| R U2 R' F' L' U2 L F R U2 R'|OLL}}<br /> <br /> == EOLL preserving CO ==<br /> See: [[OLL#OLL 28|OLL 28]], [[OLL#OLL 57|OLL 57]], [[OLL#OLL20|OLL 20]]<br /> <br /> == EOLL preserving corners ==<br /> <br /> Two adjacent edges flipped<br /> {{Alg| M U M' U2 M U M'}}<br /> <br /> Two opposite edges flipped<br /> {{Alg|(x') M' U' R U M U' R' U (x)}}<br /> <br /> Four edges flipped<br /> {{Alg|M' U2 M U2 M' U M U2 M' U2 M}}<br /> <br /> Also see [[ELL]] for more algorithms.<br /> <br /> <br /> [[Category:3x3x3 last layer substeps]]<br /> [[Category:Algorithms]]</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=Corner_Orientation&diff=25451 Corner Orientation 2015-01-26T03:59:04Z <p>Xitvono: /* T */</p> <hr /> <div>{{Substep Infobox<br /> |name=Corner Orientation<br /> |image=COinfo.png<br /> |anames=CO<br /> |variants=[[OCLL]]<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[BLD]], [[FMC]]<br /> }}<br /> '''Corner Orientation''', abbrevaited '''CO''', the [[orientation]] of a [[cube]]'s [[corner]]s. There are three possible corner cubie orientations. CO is a [[substep]] in many [[method]]s.<br /> <br /> For the [[last layer]] of the [[3x3x3 cube]] there are three main variations used for the seven cases of CO, one that is named [[Corner Orientation#Pure CO|pure CO]] wich orients the corners without affecting anything else, not even corner permutation, one preserves edge orientation wich is [[OCLL]] (OLL 21 - 27) and the last variation orients the corners ignoring edges (use any [[OLL]] that twists the same corners for that).<br /> <br /> The separation of the corners to their correct layers on the [[Square-1]] is often wrongly named &quot;corner orientation&quot;.<br /> <br /> '''Algorithms'''; at this page you can find algortihms for two diffrent variations of CO;<br /> * [[Corner Orientation#Pure CO|Pure CO]]: orients corners preserving edge orientation and both corner and edge permutation.<br /> * [[Corner Orientation#OCLL-EPP|OCLL-EPP]]: orients corners preserving edge orientation and permutation for the edges but not the corners (this method is seldomly used).<br /> <br /> == See also ==<br /> * [[Orientation]]<br /> * [[Permutation]]<br /> * [[Edge Orientation]]<br /> * [[Corner Permutation]]<br /> * [[OCLL]]<br /> * [[Winter Variation]]<br /> * [[CLS]]<br /> * [[Partial Corner Control]]<br /> = Pure CO =<br /> '''Usage:''' Besides that these cases are a group in [[L4C]], [[L3C]], [[ZBLL]], [[ZZLL]];<br /> <br /> [[3OP]] is a [[blindfold method]] that orients the pieces before they are placed into position, the algorithms here solves the corner orientation in at the most 3 steps, first, if needed two pieces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom layer. ''Algs for pure orientation of the edges can be found at the [[ELL|ELL page]]''.<br /> <br /> Any other BLD method, to fix orientation for corners that are in position but unoriented from the scramble (a few setup moves to get the pieces into the same layer may be needed then).<br /> <br /> For [[FMC]] to solve the last pieces (but that won't give any WR, better to try some diffrent start of the last layer that gives a easier case in the end).<br /> <br /> ===Algorithms===<br /> All cases here have long [[algorithm]]s, the H case is actually the worst LL case of them all and the pi case is second worst. The good thing is that all cases are solveable using only two sides (RU [[2-gen]]). There are diffrent sections for diffrent types of algorithms, first is optimal 2-gen followed by 2-gens of any length. All cases can be solved using two or more [[Sune]], the third section is for these combinations (double, anti and mirrors included). Next comes algs optimal in [[Half Turn Metric]], using as many sides that is needed for that (2-6) and the last section is for any other alg that solves the case.<br /> <br /> {{Algnote}}<br /> <br /> ==Two corners unoriented==<br /> Note that the T-twist is the same case as the U-twist if you reorient the cube (for these images that will be z' y2).<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === U ===<br /> {{case |image=Pure twist U.jpg<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U2 R' U R' U2 R U2 R U R' U' R' U R (U2)}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R' U2 R U' R U2 R' U2 R' U' R U R U' R' (U2)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(R U2 R' U' R U' R') (L' U2 L U L' U L)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|F U' R2 U R2 U F U' F2 D R2 D' R2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(x) U2 R' U' R U' R' L' U2 L U L' U L R (x')}}<br /> {{Alg|(z') (U R U' R')2 L' (R U R' U')2 L (z)}}<br /> {{Alg|(y2) (R U R' U')2 L' (U R U' R')2 L}}<br /> {{Alg|(F D' F' R' D' R) U (R' D R F D F') U'}}<br /> <br /> |<br /> <br /> === T ===<br /> {{case |image=Pure twist T.jpg<br /> |name=T<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|(U) R2 U' R U' R2 U R2 U R U' R' U' R U R2}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(U2) R U R' U' R' U R U2 R U2 R' U R' U2 R}}<br /> {{Alg|(U2) R' U' R U' R' U2 R U2 R U R' U R U2 R'}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(L' U' L U' L' U2 L) (R U R' U R U2 R')}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R2 U' B R2 D' R2 D B2 U' B U R2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(z') (R U R' U')2 L' (U R U' R')2 L (z)}}<br /> {{Alg|(y2) (U R U' R')2 L' (R U R' U')2 L}}<br /> {{Alg|(R' D R F D F') U (F D' F' R' D' R) U'}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === L ===<br /> {{case |image=Pure twist L.jpg<br /> |name=L, Bowtie<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U' R' U2 R' U2 R U R' U R U2 R U2 R' (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(U') R U2 R' U2 R' U' R U R U' R' U2 R' U2 R}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|B' (R U2 R' U' R U' R') (L' U2 L U L' U L) B}}<br /> <br /> '''HTM optimal:''' &lt;small&gt;(12 move commutator)&lt;/small&gt;<br /> {{Alg|U2 (R' B D2 B' R) U2 (R' B D2 B' R)}}<br /> {{Alg|(F L' D2 L F') U2 (F L' D2 L F') U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|R U' R' L' U2 L U L' U L R U2 R' U'}}<br /> {{Alg|y' R' U L U' R U2 y' R' U' R F' R' U R U2}}<br /> <br /> |<br /> |}<br /> <br /> ==Three corners unoriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === S ===<br /> {{case |image=Pure twist S.jpg<br /> |name=S, Sune<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U R' U R2 U R' U R2 U R' U R U2 R U2 R2}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R U R2 U' R2 U R U R' U' R U R U R U' R' (U)}}<br /> {{Alg|(R U R' U') R' U' R' U' (R U R' U') R2 U2 R2 U2 R' (U')}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(U') (R' U2 R U R' U' R U R' U R) (U) (R U2 R' U' R U' R') (U2)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U' B U' F U2 B2 D' R2 U D F' U' B}}<br /> <br /> '''Any other:'''<br /> {{Alg|(y) U2 R' U2 R U R' U R' d' M' U2 M d' L2 (y) }}<br /> <br /> |<br /> <br /> === -S ===<br /> {{case |image=Pure twist aS.jpg<br /> |name=-S, Antisune<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R2 U2 R' U2 R' U' R U' R2 U' R U' R2 U' R U' R}}<br /> {{Alg|(U2) R U' R2 U' R U' R' U2 R' U2 R' U' R U' R2 (U)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(U2) (R U2 R' U' R U R' U' R U' R') (U') (R' U2 R U R' U R) (U)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R' U L U' D' F2 D R2 U2 L' U R'}}<br /> <br /> '''Any other:'''<br /> {{Alg|U2 R U2 R' U' R U' R d M U2 M' d L2}}<br /> <br /> |}<br /> <br /> ==Four corners unoriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === H ===<br /> {{case |image=Pure twist H.jpg<br /> |name=H<br /> |methods=[[L4C]], [[BLD]]<br /> |optimal=16 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R2 U' R2 U' R U2 R U2 R U' R2 U' R2 U R (U)}}<br /> {{Alg|R' U' R2 U R2 U R' U2 R' U2 R' U R2 U R2 U' R' (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(y) (R U R' U) (R U' R' U) (R U2') (R U' R' U') (R U R U) (R U' R)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|!}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R U2 F2 R' U' F R' U2 F' U2 R2 F U R' F U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(r U2 R' U' R U R' U' R U' r') (M U' M' U2 M U' M')}}<br /> {{Alg|(r' U2 R U R' U' R U R' U r) (M' U M U2 M' U M)}}<br /> {{Alg|(L' U' L U' L' U L U' L' U2 L) (R U R' U R U' R' U R U2' R')}}<br /> {{Alg|F U R d' R U' R' d R' U R d' R U' R' d l' U' (x')}}<br /> {{Alg|d R2 U2 R' (y x) M2 U M2 U (x' y') U2 R2 d' M2 U M2}}<br /> <br /> |<br /> <br /> === pi ===<br /> {{case |image=Pure twist pi.jpg<br /> |name=pi, Bruno<br /> |methods=[[L4C]], [[BLD]]<br /> |optimal=15 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' (U)}}<br /> {{Alg|R' U' R2 U R2 U R2 U2 R2 U R U' R' U2 R (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(y) R U2 R' U' R U R2 U2 R2 U R2 U R2 U' R' (U')}}<br /> {{Alg|(y') R' U2 R U R' U' R2 U2 R2 U' R2 U' R2 U R (U)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|!}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R L' D' R2 U2 R' D R2 U2 L U' L2 B2 L2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(y) R' U' (R' F R F') (R U' R' U) (R' F R F') R U' R' U2 R}}<br /> {{Alg|B (U L U' L') (U L U') L2 (x') U' M' U L U' M (x)}}<br /> {{Alg|(y2) F U R U' R' U R U' R' F' r U R' U' M U R U' R'}}<br /> {{Alg|(y' x) U' L U2 R' U2 L' U2 R U' (x' y') M' U' M U2 M' U' M U2}}<br /> <br /> |}<br /> <br /> = OCLL-EPP =<br /> '''Orientation of the corners of the last layer - edges permutation preserved'''; orients the [[last layer]] corners preserving edge permutation but ignoring corner permutation.<br /> <br /> '''Usage'''; to solve the [[last four corners]] in two looks if the edges are solved (3-look [[LLEF]], OCLL-EPP and [[CPLL]], total 26 algs. 4-look [[EO]], [[EP]], OCLL-EPP and CPLL, total 16 algs).<br /> <br /> Average movecount is 9.63 turns optimally, CPLL is 9.12 turns optimally wich gives 19 moves on average for solving L4C in 2-looks like this.<br /> <br /> ===Algorithms===<br /> {{Algnote}}<br /> <br /> ==Two corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === U (EPP) ===<br /> {{case |image=OCLL-EPP U.jpg<br /> |name=U, Headlights, Superman<br /> |methods=2-look [[L4C]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U' R' U2 R' U2 R U R' U R U2 R U2 R' U' R}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R2 D' R U2 R' D R U2 R}}<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'}}<br /> {{Alg|(z' y') U2 R2 U' L2 U R2 U' L2 U' (y z)}}<br /> <br /> '''Any other:'''<br /> {{Alg|R U2 R2 U L U' R2 U L' U R'}}<br /> {{Alg|R' U2 R F' R' F U2 F' R F}}<br /> <br /> |<br /> <br /> <br /> === T (EPP) ===<br /> {{case |image=OCLL-EPP T.jpg<br /> |name=T<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U' R' U R U2 R U2 R' U R' U2 R U2 R U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R' F' R B' R' F R B}}<br /> {{Alg|(x) R' U' R D' R' U R D (x')}}<br /> {{Alg|(x') R' D' R U' R' D R U (x)}}<br /> {{Alg|(y') r U R' U' r' F R F'}}<br /> {{Alg|(y) l U L' U' R' U L U' (x)}}<br /> <br /> '''Any other:'''<br /> {{Alg|F U F' R' F U' F' U R U'}}<br /> {{Alg|(y') R U R' U' L' U R U' M' (x')}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === L (EPP) ===<br /> {{case |image=OCLL-EPP L.jpg<br /> |name=L, Bowtie<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U' R2 U2 R2 U R U' R U R2 U2 R2 U' R' U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R B' R' F R B R' F'}}<br /> {{Alg|(y) F R' F' r U R U' r'}}<br /> {{Alg|(x') U' R U L' U' R' U r}}<br /> <br /> '''Any other:'''<br /> {{Alg|U' F U R' U' R F' R' U R}}<br /> {{Alg|R U R U' L' U R' U' M' (x')}}<br /> <br /> |<br /> |}<br /> <br /> ==Three corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === S (EPP) ===<br /> {{case |image=OCLL-EPP S.jpg<br /> |name=S, Sune<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R U' L' U R' U' L U}}<br /> <br /> '''Any other:'''<br /> {{Alg|!}}<br /> <br /> |<br /> <br /> === -S (EPP) ===<br /> {{case |image=OCLL-EPP aS.jpg<br /> |name=-S, Antisune<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U2 R U2 R2 U' R2 U' R' U R' U R}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U' L' U R U' L U R'}}<br /> <br /> '''Any other:'''<br /> {{Alg|!}}<br /> <br /> |}<br /> <br /> ==Four corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === H (EPP) ===<br /> {{case |image=OCLL-EPP H.jpg<br /> |name=H<br /> |methods=2-look [[L4C]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R' U' R' U2 R' U R U' R U2 R2 U2 R' U'}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R' F2 R2 U2 R' F2 R U2 R2 F2 R U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|F (R U R' U')3 F'}}<br /> <br /> |<br /> <br /> === pi (EPP) ===<br /> {{case |image=OCLL-EPP pi.jpg<br /> |name=pi, Bruno<br /> |methods=2-look [[L4C]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U' R U R' U R' U' R2 U R' U' R U' R2 U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R F' D2 F R' U' R F' D2 F R' U}}<br /> <br /> '''Any other:'''<br /> {{Alg|R' U L U' R U L2 U R U' L U R' U2}}<br /> {{Alg|L U' R' U L' U' R2 U' L' U R' U' L U2}}<br /> <br /> |}<br /> <br /> [[Category:Puzzle theory]]<br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__<br /> <br /> == OLC Algorithms ==<br /> <br /> '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZ-reduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL.<br /> <br /> Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> Odds of skipping this step are 1/27.<br /> <br /> {{Algnote}}<br /> <br /> === OLC 1 ===<br /> Probability 4/27<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L|OLL}}<br /> {{Alg|y2 R' U L U' R U L'|OLL}}<br /> {{Alg|U R U' L' U R' U' L|OLL}}<br /> <br /> <br /> === OLC 2 ===<br /> Probability 4/27<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'|OLL}}<br /> <br /> <br /> === OLC 3 ===<br /> Probability 2/27<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'|OLL}}<br /> {{Alg|R U2 R' F R' F' R F2 L F L' F|OLL}}<br /> <br /> === OLC 4 ===<br /> Probability 4/27<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'|OLL}}<br /> {{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2|OLL}}<br /> <br /> === OLL 23 ===<br /> Probability 4/27<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|y' F L' D2 L U2 L' D2 L U2 F'|OLL}}<br /> {{Alg|y' B L2 B R2 B F2 R2 B L2 F2|OLL}}<br /> {{Alg|y' B' F2 R2 B L2 B' R2 B L2 F2|OLL}}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|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|R2 D R' U2' R D' R' U2 R'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 U z'|OLL}}<br /> {{Alg|y2 R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> {{Alg|y' F' L2 F' R2 B2 F' R2 F' L2 B2|OLL}}<br /> <br /> === OLL 24 ===<br /> Probability 4/27<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<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' x') R U R' D R U' R' D'|OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|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' L F R F' L' F|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 /> === OLL 25 ===<br /> Probability 4/27<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R|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 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|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|R' F' L' F R F' L F|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')2 R U' 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 /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=Corner_Orientation&diff=25450 Corner Orientation 2015-01-26T03:55:00Z <p>Xitvono: /* U */</p> <hr /> <div>{{Substep Infobox<br /> |name=Corner Orientation<br /> |image=COinfo.png<br /> |anames=CO<br /> |variants=[[OCLL]]<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[BLD]], [[FMC]]<br /> }}<br /> '''Corner Orientation''', abbrevaited '''CO''', the [[orientation]] of a [[cube]]'s [[corner]]s. There are three possible corner cubie orientations. CO is a [[substep]] in many [[method]]s.<br /> <br /> For the [[last layer]] of the [[3x3x3 cube]] there are three main variations used for the seven cases of CO, one that is named [[Corner Orientation#Pure CO|pure CO]] wich orients the corners without affecting anything else, not even corner permutation, one preserves edge orientation wich is [[OCLL]] (OLL 21 - 27) and the last variation orients the corners ignoring edges (use any [[OLL]] that twists the same corners for that).<br /> <br /> The separation of the corners to their correct layers on the [[Square-1]] is often wrongly named &quot;corner orientation&quot;.<br /> <br /> '''Algorithms'''; at this page you can find algortihms for two diffrent variations of CO;<br /> * [[Corner Orientation#Pure CO|Pure CO]]: orients corners preserving edge orientation and both corner and edge permutation.<br /> * [[Corner Orientation#OCLL-EPP|OCLL-EPP]]: orients corners preserving edge orientation and permutation for the edges but not the corners (this method is seldomly used).<br /> <br /> == See also ==<br /> * [[Orientation]]<br /> * [[Permutation]]<br /> * [[Edge Orientation]]<br /> * [[Corner Permutation]]<br /> * [[OCLL]]<br /> * [[Winter Variation]]<br /> * [[CLS]]<br /> * [[Partial Corner Control]]<br /> = Pure CO =<br /> '''Usage:''' Besides that these cases are a group in [[L4C]], [[L3C]], [[ZBLL]], [[ZZLL]];<br /> <br /> [[3OP]] is a [[blindfold method]] that orients the pieces before they are placed into position, the algorithms here solves the corner orientation in at the most 3 steps, first, if needed two pieces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom layer. ''Algs for pure orientation of the edges can be found at the [[ELL|ELL page]]''.<br /> <br /> Any other BLD method, to fix orientation for corners that are in position but unoriented from the scramble (a few setup moves to get the pieces into the same layer may be needed then).<br /> <br /> For [[FMC]] to solve the last pieces (but that won't give any WR, better to try some diffrent start of the last layer that gives a easier case in the end).<br /> <br /> ===Algorithms===<br /> All cases here have long [[algorithm]]s, the H case is actually the worst LL case of them all and the pi case is second worst. The good thing is that all cases are solveable using only two sides (RU [[2-gen]]). There are diffrent sections for diffrent types of algorithms, first is optimal 2-gen followed by 2-gens of any length. All cases can be solved using two or more [[Sune]], the third section is for these combinations (double, anti and mirrors included). Next comes algs optimal in [[Half Turn Metric]], using as many sides that is needed for that (2-6) and the last section is for any other alg that solves the case.<br /> <br /> {{Algnote}}<br /> <br /> ==Two corners unoriented==<br /> Note that the T-twist is the same case as the U-twist if you reorient the cube (for these images that will be z' y2).<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === U ===<br /> {{case |image=Pure twist U.jpg<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U2 R' U R' U2 R U2 R U R' U' R' U R (U2)}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R' U2 R U' R U2 R' U2 R' U' R U R U' R' (U2)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(R U2 R' U' R U' R') (L' U2 L U L' U L)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|F U' R2 U R2 U F U' F2 D R2 D' R2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(x) U2 R' U' R U' R' L' U2 L U L' U L R (x')}}<br /> {{Alg|(z') (U R U' R')2 L' (R U R' U')2 L (z)}}<br /> {{Alg|(y2) (R U R' U')2 L' (U R U' R')2 L}}<br /> {{Alg|(F D' F' R' D' R) U (R' D R F D F') U'}}<br /> <br /> |<br /> <br /> === T ===<br /> {{case |image=Pure twist T.jpg<br /> |name=T<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|(U) R2 U' R U' R2 U R2 U R U' R' U' R U R2}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(U2) R U R' U' R' U R U2 R U2 R' U R' U2 R}}<br /> {{Alg|(U2) R' U' R U' R' U2 R U2 R U R' U R U2 R'}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(L' U' L U' L' U2 L) (R U R' U R U2 R')}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R2 U' B R2 D' R2 D B2 U' B U R2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(z') (R U R' U')2 L' (U R U' R')2 L (z)}}<br /> {{Alg|(y2) (U R U' R')2 L' (R U R' U')2 L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === L ===<br /> {{case |image=Pure twist L.jpg<br /> |name=L, Bowtie<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U' R' U2 R' U2 R U R' U R U2 R U2 R' (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(U') R U2 R' U2 R' U' R U R U' R' U2 R' U2 R}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|B' (R U2 R' U' R U' R') (L' U2 L U L' U L) B}}<br /> <br /> '''HTM optimal:''' &lt;small&gt;(12 move commutator)&lt;/small&gt;<br /> {{Alg|U2 (R' B D2 B' R) U2 (R' B D2 B' R)}}<br /> {{Alg|(F L' D2 L F') U2 (F L' D2 L F') U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|R U' R' L' U2 L U L' U L R U2 R' U'}}<br /> {{Alg|y' R' U L U' R U2 y' R' U' R F' R' U R U2}}<br /> <br /> |<br /> |}<br /> <br /> ==Three corners unoriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === S ===<br /> {{case |image=Pure twist S.jpg<br /> |name=S, Sune<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U R' U R2 U R' U R2 U R' U R U2 R U2 R2}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R U R2 U' R2 U R U R' U' R U R U R U' R' (U)}}<br /> {{Alg|(R U R' U') R' U' R' U' (R U R' U') R2 U2 R2 U2 R' (U')}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(U') (R' U2 R U R' U' R U R' U R) (U) (R U2 R' U' R U' R') (U2)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U' B U' F U2 B2 D' R2 U D F' U' B}}<br /> <br /> '''Any other:'''<br /> {{Alg|(y) U2 R' U2 R U R' U R' d' M' U2 M d' L2 (y) }}<br /> <br /> |<br /> <br /> === -S ===<br /> {{case |image=Pure twist aS.jpg<br /> |name=-S, Antisune<br /> |methods=[[L3C]], [[L4C]], [[BLD]]<br /> |optimal=13 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|R2 U2 R' U2 R' U' R U' R2 U' R U' R2 U' R U' R}}<br /> {{Alg|(U2) R U' R2 U' R U' R' U2 R' U2 R' U' R U' R2 (U)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|(U2) (R U2 R' U' R U R' U' R U' R') (U') (R' U2 R U R' U R) (U)}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R' U L U' D' F2 D R2 U2 L' U R'}}<br /> <br /> '''Any other:'''<br /> {{Alg|U2 R U2 R' U' R U' R d M U2 M' d L2}}<br /> <br /> |}<br /> <br /> ==Four corners unoriented==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === H ===<br /> {{case |image=Pure twist H.jpg<br /> |name=H<br /> |methods=[[L4C]], [[BLD]]<br /> |optimal=16 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R2 U' R2 U' R U2 R U2 R U' R2 U' R2 U R (U)}}<br /> {{Alg|R' U' R2 U R2 U R' U2 R' U2 R' U R2 U R2 U' R' (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(y) (R U R' U) (R U' R' U) (R U2') (R U' R' U') (R U R U) (R U' R)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|!}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R U2 F2 R' U' F R' U2 F' U2 R2 F U R' F U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(r U2 R' U' R U R' U' R U' r') (M U' M' U2 M U' M')}}<br /> {{Alg|(r' U2 R U R' U' R U R' U r) (M' U M U2 M' U M)}}<br /> {{Alg|(L' U' L U' L' U L U' L' U2 L) (R U R' U R U' R' U R U2' R')}}<br /> {{Alg|F U R d' R U' R' d R' U R d' R U' R' d l' U' (x')}}<br /> {{Alg|d R2 U2 R' (y x) M2 U M2 U (x' y') U2 R2 d' M2 U M2}}<br /> <br /> |<br /> <br /> === pi ===<br /> {{case |image=Pure twist pi.jpg<br /> |name=pi, Bruno<br /> |methods=[[L4C]], [[BLD]]<br /> |optimal=15 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' (U)}}<br /> {{Alg|R' U' R2 U R2 U R2 U2 R2 U R U' R' U2 R (U')}}<br /> <br /> '''Any other 2-gen:'''<br /> {{Alg|(y) R U2 R' U' R U R2 U2 R2 U R2 U R2 U' R' (U')}}<br /> {{Alg|(y') R' U2 R U R' U' R2 U2 R2 U' R2 U' R2 U R (U)}}<br /> <br /> '''Sune combos:'''<br /> {{Alg|!}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U R L' D' R2 U2 R' D R2 U2 L U' L2 B2 L2}}<br /> <br /> '''Any other:'''<br /> {{Alg|(y) R' U' (R' F R F') (R U' R' U) (R' F R F') R U' R' U2 R}}<br /> {{Alg|B (U L U' L') (U L U') L2 (x') U' M' U L U' M (x)}}<br /> {{Alg|(y2) F U R U' R' U R U' R' F' r U R' U' M U R U' R'}}<br /> {{Alg|(y' x) U' L U2 R' U2 L' U2 R U' (x' y') M' U' M U2 M' U' M U2}}<br /> <br /> |}<br /> <br /> = OCLL-EPP =<br /> '''Orientation of the corners of the last layer - edges permutation preserved'''; orients the [[last layer]] corners preserving edge permutation but ignoring corner permutation.<br /> <br /> '''Usage'''; to solve the [[last four corners]] in two looks if the edges are solved (3-look [[LLEF]], OCLL-EPP and [[CPLL]], total 26 algs. 4-look [[EO]], [[EP]], OCLL-EPP and CPLL, total 16 algs).<br /> <br /> Average movecount is 9.63 turns optimally, CPLL is 9.12 turns optimally wich gives 19 moves on average for solving L4C in 2-looks like this.<br /> <br /> ===Algorithms===<br /> {{Algnote}}<br /> <br /> ==Two corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === U (EPP) ===<br /> {{case |image=OCLL-EPP U.jpg<br /> |name=U, Headlights, Superman<br /> |methods=2-look [[L4C]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U' R' U2 R' U2 R U R' U R U2 R U2 R' U' R}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R2 D' R U2 R' D R U2 R}}<br /> {{Alg|R2 F2 R' B2 R F2 R' B2 R'}}<br /> {{Alg|(z' y') U2 R2 U' L2 U R2 U' L2 U' (y z)}}<br /> <br /> '''Any other:'''<br /> {{Alg|R U2 R2 U L U' R2 U L' U R'}}<br /> {{Alg|R' U2 R F' R' F U2 F' R F}}<br /> <br /> |<br /> <br /> <br /> === T (EPP) ===<br /> {{case |image=OCLL-EPP T.jpg<br /> |name=T<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U' R' U R U2 R U2 R' U R' U2 R U2 R U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R' F' R B' R' F R B}}<br /> {{Alg|(x) R' U' R D' R' U R D (x')}}<br /> {{Alg|(x') R' D' R U' R' D R U (x)}}<br /> {{Alg|(y') r U R' U' r' F R F'}}<br /> {{Alg|(y) l U L' U' R' U L U' (x)}}<br /> <br /> '''Any other:'''<br /> {{Alg|F U F' R' F U' F' U R U'}}<br /> {{Alg|(y') R U R' U' L' U R U' M' (x')}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === L (EPP) ===<br /> {{case |image=OCLL-EPP L.jpg<br /> |name=L, Bowtie<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R' U' R2 U2 R2 U R U' R U R2 U2 R2 U' R' U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R B' R' F R B R' F'}}<br /> {{Alg|(y) F R' F' r U R U' r'}}<br /> {{Alg|(x') U' R U L' U' R' U r}}<br /> <br /> '''Any other:'''<br /> {{Alg|U' F U R' U' R F' R' U R}}<br /> {{Alg|R U R U' L' U R' U' M' (x')}}<br /> <br /> |<br /> |}<br /> <br /> ==Three corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === S (EPP) ===<br /> {{case |image=OCLL-EPP S.jpg<br /> |name=S, Sune<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R U' L' U R' U' L U}}<br /> <br /> '''Any other:'''<br /> {{Alg|!}}<br /> <br /> |<br /> <br /> === -S (EPP) ===<br /> {{case |image=OCLL-EPP aS.jpg<br /> |name=-S, Antisune<br /> |methods=2-look [[L4C]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|U2 R U2 R2 U' R2 U' R' U R' U R}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|U' L' U R U' L U R'}}<br /> <br /> '''Any other:'''<br /> {{Alg|!}}<br /> <br /> |}<br /> <br /> ==Four corners==<br /> {|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot; cellpadding=&quot;3&quot;<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> === H (EPP) ===<br /> {{case |image=OCLL-EPP H.jpg<br /> |name=H<br /> |methods=2-look [[L4C]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U R' U' R' U2 R' U R U' R U2 R2 U2 R' U'}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R' F2 R2 U2 R' F2 R U2 R2 F2 R U2}}<br /> <br /> '''Any other:'''<br /> {{Alg|F (R U R' U')3 F'}}<br /> <br /> |<br /> <br /> === pi (EPP) ===<br /> {{case |image=OCLL-EPP pi.jpg<br /> |name=pi, Bruno<br /> |methods=2-look [[L4C]]<br /> |optimal=12 [[HTM]]<br /> |text=<br /> }}<br /> '''Optimal 2-gen:'''<br /> {{Alg|R U' R U R' U R' U' R2 U R' U' R U' R2 U}}<br /> <br /> '''HTM optimal:'''<br /> {{Alg|R F' D2 F R' U' R F' D2 F R' U}}<br /> <br /> '''Any other:'''<br /> {{Alg|R' U L U' R U L2 U R U' L U R' U2}}<br /> {{Alg|L U' R' U L' U' R2 U' L' U R' U' L U2}}<br /> <br /> |}<br /> <br /> [[Category:Puzzle theory]]<br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__<br /> <br /> == OLC Algorithms ==<br /> <br /> '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZ-reduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL.<br /> <br /> Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> Odds of skipping this step are 1/27.<br /> <br /> {{Algnote}}<br /> <br /> === OLC 1 ===<br /> Probability 4/27<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L|OLL}}<br /> {{Alg|y2 R' U L U' R U L'|OLL}}<br /> {{Alg|U R U' L' U R' U' L|OLL}}<br /> <br /> <br /> === OLC 2 ===<br /> Probability 4/27<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'|OLL}}<br /> <br /> <br /> === OLC 3 ===<br /> Probability 2/27<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'|OLL}}<br /> {{Alg|R U2 R' F R' F' R F2 L F L' F|OLL}}<br /> <br /> === OLC 4 ===<br /> Probability 4/27<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'|OLL}}<br /> {{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2|OLL}}<br /> <br /> === OLL 23 ===<br /> Probability 4/27<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|y' F L' D2 L U2 L' D2 L U2 F'|OLL}}<br /> {{Alg|y' B L2 B R2 B F2 R2 B L2 F2|OLL}}<br /> {{Alg|y' B' F2 R2 B L2 B' R2 B L2 F2|OLL}}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|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|R2 D R' U2' R D' R' U2 R'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 U z'|OLL}}<br /> {{Alg|y2 R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> {{Alg|y' F' L2 F' R2 B2 F' R2 F' L2 B2|OLL}}<br /> <br /> === OLL 24 ===<br /> Probability 4/27<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<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' x') R U R' D R U' R' D'|OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|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' L F R F' L' F|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 /> === OLL 25 ===<br /> Probability 4/27<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R|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 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|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|R' F' L' F R F' L F|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')2 R U' 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 /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=OLL&diff=25403 OLL 2015-01-23T22:25:23Z <p>Xitvono: /* OLL 20 */ just removed spaces so it works properly.</p> <hr /> <div>{{Substep Infobox<br /> |name=OLL<br /> |image=OLLinfo.png<br /> |proposers=<br /> |year=<br /> |anames=<br /> |variants=<br /> |subgroup=&lt;nowiki&gt;&lt;/nowiki&gt;<br /> |algs=57<br /> |moves=9.7 [[HTM]]<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> |previous=[[F2L cube state]]<br /> |next=[[LL:EO+CO cube state]]<br /> |previousimage=[[Image:F2L_higlight.jpg|120px|left|link=F2L cube state]]<br /> |nextimage=[[Image:OLLinfo.png|120px|left|link=LL:EO+CO cube state]]<br /> <br /> }}<br /> '''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].<br /> <br /> == Terminology ==<br /> '''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].<br /> <br /> == See also ==<br /> * [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&amp;view=default&amp;puzzle=3&amp;group=OLL OLL Algorithm Database]<br /> * [[OLL (2x2x2)]]<br /> * [[2-Look OLL]]<br /> * [[PLL]]<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)<br /> &lt;br&gt;{{OLL}}<br /> * [https://www.youtube.com/watch?v=yB9zI1UkODc Video series on most commonly used OLLs on youtube] by CUBE PORTAL<br /> <br /> =OLL Algorithms=<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 /> {{Algnote}}<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 /> {{OCLL}}<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 /> === OLL 1 ===<br /> {{case<br /> |image=o1.gif<br /> |name=Runway, Blank<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}<br /> {{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}<br /> {{Alg|(y) R U' R2 D' r U' r' D R2 U R'|OLL}}<br /> <br /> === OLL 2 ===<br /> {{case<br /> |image=o2.gif<br /> |name=zamboni<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 3 ===<br /> {{case<br /> |image=o3.gif<br /> |name=Anti-Nazi, Anti-Mouse<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) r' R2 U R' U r U2 r' U M'|OLL}}<br /> {{Alg|(M'U) (r'U2 r U) (R' U R2 r')|OLL}}<br /> |<br /> <br /> === OLL 4 ===<br /> {{case<br /> |image=o4.gif<br /> |name= Nazi, Mouse<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 17 ===<br /> {{case<br /> |image=o17.gif<br /> |name= slash, diagonal<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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 /> {{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}<br /> {{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}<br /> {{Alg|(y2) (F R' F' R2 r' U) (R U' R' U' M')|OLL}}<br /> <br /> === OLL 18 ===<br /> {{case<br /> |image=o18.gif<br /> |name= Crown<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y') r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br /> {{Alg|(y) 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|(y2) (R' F R F') U2 (R' F R F') (U F' U F) |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 /> {{Alg|(y2) (F R U' R' U' R U R' F') U' (F R U R' U' F') |OLL}}<br /> <br /> === OLL 19 ===<br /> {{case<br /> |image=o19.gif<br /> |name= Bunny<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br /> {{Alg|M U R U R' U' M' R' F R F'|OLL}}<br /> {{Alg|M U R U R' U' r R2' F R F'|OLL}}<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|(y2) M' U' R' U' R U r' R2 B' R' B|OLL}}<br /> {{Alg|(y2) M' U L U L' U' l L2 B L B'|OLL}}<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 /> {{case<br /> |image=o31.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R' U' F U R U' R' F' R|OLL}}<br /> {{Alg|(y) (F R' F' R) (U R U R') (U' R U' R')|OLL}}<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|L' U' B U L U' L' B' L|OLL}}<br /> {{Alg|(y') (S R U R' U' Fw' U' F)|OLL}}<br /> {{Alg|(y) M' U' L' U' L F U F' L' U l|OLL}}<br /> |<br /> <br /> === OLL 32 ===<br /> {{case<br /> |image=o32.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> <br /> {{Alg|R U B' U' R' U R B R'|OLL}}<br /> {{Alg|(y2) x' R U R' D R U' R U' R' U R' D' x|OLL}}<br /> {{Alg|(y2) F U R U' F' r U R' U' r'|OLL}}<br /> {{Alg|R U x' U' F' R' F R U R'|OLL}}<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 U2 R' U' F' U F R U' R'|OLL}}<br /> {{Alg|l F U' F' R' F R U l'|OLL}}<br /> {{Alg|(y) M' U R U R' F' U' F R U' r'|OLL}}<br /> {{Alg|(y2) L U F' U' L' U L F L'|OLL}}<br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 43 ===<br /> {{case<br /> |image=o43.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y) R' U' F' U F R|OLL}}<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|(y2) U R U R' F' L' U' L F|OLL}}<br /> {{Alg|(y2) R' U' F R' F' R U R|OLL}}<br /> {{Alg|(y') R U l' U' r' U' r U x'|OLL}}<br /> <br /> |<br /> <br /> === OLL 44 ===<br /> {{case<br /> |image=o44.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o36.gif<br /> |name=Sea-Mew, Wario<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}<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 /> {{case<br /> |image=o38.gif<br /> |name=Mario<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o48.gif<br /> |name=Breakneck<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o47.gif<br /> |name=Anti-Breakneck<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|R' U' x (R' U R U')2 x' U R|OLL}}<br /> <br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 53 ===<br /> {{case<br /> |image=o53.gif<br /> |name=Frying Pan<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o54.gif<br /> |name=Anti-Frying Pan<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}<br /> {{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 49 ===<br /> {{case<br /> |image=o49.gif<br /> |name= right back squeezy<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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 /> <br /> === OLL 50 ===<br /> {{case<br /> |image=o50.gif<br /> |name= right front squeezy<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}<br /> {{Alg|(y2) (r U R U' r') (F R' U R U' R' F')|OLL}}<br /> {{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|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') F' R U2 R' U2 R' F2 R F'|OLL}}<br /> {{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}<br /> {{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}<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 /> {{case<br /> |image=o34.gif<br /> |name= City (C and T)<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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' l' U R d' D|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 /> {{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 46 ===<br /> {{case<br /> |image=o46.gif<br /> |name= Seein' Headlights(C and headlights)<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<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 /> <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 /> {{case<br /> |image=o33.gif<br /> |name= Tying Shoelaces, Key<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(R U R' U') (R' F R F')|OLL}}<br /> {{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}<br /> {{Alg|R' U' R U l U' R' U x|OLL}}<br /> {{Alg|R U R' F' U' F R U' R'|OLL}}<br /> |<br /> <br /> === OLL 45 ===<br /> {{case<br /> |image=o45.gif<br /> |name= Suit up, T<br /> |methods=OLL<br /> |optimal=6 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o55.gif<br /> |name= Highway<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}<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) F U' R2 D R' U2 R D' R2' U 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 /> {{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}<br /> {{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}<br /> {{Alg|(y) r U2 R' U' M 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 /> === OLL 56 ===<br /> {{case<br /> |image=o56.gif<br /> |name= Streetlights, Dead Man<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<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 U r' U R U' R' M' U R U2 r'|OLL}}<br /> {{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}<br /> {{Alg|l U l' (U L U' L')2 l U' l|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 51 ===<br /> {{case<br /> |image=o51.gif<br /> |name=Bottlecap, Ant<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y') R' U2 R U R' F R' F' R U R |OLL}}<br /> <br /> <br /> |<br /> <br /> === OLL 52 ===<br /> {{case<br /> |image=o52.gif<br /> |name= rice cooker<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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|R' U' R U' R' U F' U F R|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 /> {{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}<br /> {{Alg|(y') F R U R' U F' U' F U' 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 /> {{case<br /> |image=o5.gif<br /> |name= right back wide antisune(RBWAS), Lefty Square<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<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) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}<br /> {{Alg|(y2) l' U2 L U L' U l|OLL}}<br /> {{Alg|(y) x' U' l2 U l F' l U|OLL}}<br /> |<br /> <br /> === OLL 6 ===<br /> {{case<br /> |image=o6.gif<br /> |name= right front wide antisune(RFWAS), Righty Square<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o39.gif<br /> |name=Fung<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L F' L' U' L U F U' L'|OLL}}<br /> {{Alg|(y2) l U' l' U' R U B U' R'|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 /> {{Alg|(y2) F R U R' U' R U R' U' R U' R' U' R U R' F'|OLL}}<br /> <br /> |<br /> <br /> === OLL 40 ===<br /> {{case<br /> |image=o40.gif<br /> |name=Anti-Fung<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o7.gif<br /> |name=wide sune, lightning<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U R U2 r'|OLL}}<br /> {{Alg|(y) B L F' L F L2 B'|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 /> {{case<br /> |image=o8.gif<br /> |name= left wide sune(LWS) or right back wide sune(RBWS), reverse lightning<br /> |methods=OLL<br /> |optimal=7 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|l' U' L U' L' U2 l|OLL}}<br /> {{Alg|(y2) r' U' R U' R' U2 r|OLL}}<br /> {{Alg|(y') B' R' F R' F' R2 B|OLL}}<br /> {{Alg|R U2 R' U2 R' F R F'|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 11 ===<br /> {{case<br /> |image=o11.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' R2 U R' U R U2 R' U M'|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|(y) R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}<br /> <br /> |<br /> <br /> === OLL 12 ===<br /> {{case<br /> |image=o12.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|F R U R' U' F' U 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 /> {{Alg|(y') M' R' U' R U' R' U2 R U' M|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 /> {{case<br /> |image=o9.gif<br /> |name=Kite<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<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 /> {{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) L' U' L y l U' l' U l U l'|OLL}}<br /> {{Alg|R' U' R U' R' U R' F R F' U R|OLL}}<br /> {{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}<br /> <br /> |<br /> <br /> === OLL 10 ===<br /> {{case<br /> |image=o10.gif<br /> |name=Anti-Kite<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(R' M' U2) (R U R' U) (R U R r')|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 35 ===<br /> {{case<br /> |image=o35.gif<br /> |name= fish salad<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br /> {{Alg|R U B' R B R2 U R U2 R'|OLL}}<br /> {{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}<br /> {{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}<br /> {{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}<br /> <br /> |<br /> <br /> === OLL 37 ===<br /> {{case<br /> |image=o37.gif<br /> |name=mounted fish/ untying showlaces<br /> |methods=OLL<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<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) R' F R F' y' U' R' U R|OLL}}<br /> {{Alg|(y) F R' F' R U R U' R'|OLL}}<br /> {{Alg|(y) M' U R U' r' d' L' U L|OLL}}<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|R B' R' B U B U' B'|OLL}}<br /> {{Alg|R U R' F' U F R U' R'|OLL}}<br /> {{Alg|(y') r2 D' r U' r' D r U r|OLL}}<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 /> {{case<br /> |image=o13.gif<br /> |name=Gun, Trigger<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}<br /> |<br /> <br /> === OLL 14 ===<br /> {{case<br /> |image=o14.gif<br /> |name=Anti-Gun, Anti-Trigger<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br /> {{Alg|l' U l U l' U' l 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' L' U L F L' U' L x y' L U' L'|OLL}}<br /> {{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}<br /> {{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}<br /> <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 15 ===<br /> {{case<br /> |image=o15.gif<br /> |name=Squeegee<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{case<br /> |image=o16.gif<br /> |name=Anti-Squeegee<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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|l U l' L U L' U' l U' l'|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 /> {{case<br /> |image=o29.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br /> {{Alg|r2 D' r U r' D r2 U' r' U' 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|(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|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br /> {{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}<br /> {{Alg|(y') (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}<br /> |<br /> <br /> === OLL 30 ===<br /> {{case<br /> |image=o30.gif<br /> |name=<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br /> {{Alg|f R U R2 U' R' U R2 U' R' f'|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|l U' R' U l' U2 R d L U L'|OLL}}<br /> {{Alg|R B' R' B R' U2 R U y R U R'|OLL}}<br /> {{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}<br /> {{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}<br /> {{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}<br /> {{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}<br /> {{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}<br /> {{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}<br /> {{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}<br /> {{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}<br /> {{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === OLL 41 ===<br /> {{case<br /> |image=o41.gif<br /> |name= Awkward Fish<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) M' R' F' U' F U R U' M|OLL}}<br /> {{Alg|R' M2 U' F' U F r U' M'|OLL}}<br /> {{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}<br /> |<br /> <br /> === OLL 42 ===<br /> {{case<br /> |image=o42.gif<br /> |name= Lefty Awkward Fish<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<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 /> {{Alg|(y2) M' U f U R U' R' f' M|OLL}}<br /> {{Alg| (M R) (f R f') (U' R' U M')|OLL}}<br /> {{Alg|(M U) (F R U R' U' F') M'|OLL}}<br /> {{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}<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 /> {{case<br /> |image=o28.gif<br /> |name=Stealth, Arrow, Arrowhead, Fish<br /> |methods=OLL<br /> |optimal=9 [[HTM]]<br /> |text=<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|U2 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 /> {{Alg|(y') M U R U R' U' M' U R U' R' |OLL}}<br /> |<br /> <br /> === OLL 57 ===<br /> {{case<br /> |image=o57.gif<br /> |name=Mummy, H, I, Brick<br /> |methods=OLL<br /> |optimal=10 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}<br /> {{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}<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' U M' U2 M' U 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 /> === OLL 20 ===<br /> {{case<br /> |image=o20.gif<br /> |name=X, Checkers<br /> |methods=OLL<br /> |optimal=11 [[HTM]]<br /> |text=<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|x U R' U' M2 U R U' M' x' 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 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|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|S' U' S2 U R' U' R' S' R U R|OLL}}<br /> {{Alg|(M U)4 (M' U)4|OLL}}<br /> {{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}<br /> {{Alg|(M' U)4 Y2 (M' U) 4|OLL}}<br /> <br /> &lt;br&gt;{{OLL}}<br /> <br /> [[Category:3x3x3 last layer substeps]]<br /> [[Category:Acronyms]]<br /> [[Category:Algorithms]]<br /> <br /> __NOTOC__</div> Xitvono https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=25401 First Two Layers 2015-01-23T06:16:05Z <p>Xitvono: /* F2L 16 */</p> <hr /> <div>{{Substep Infobox<br /> |name=F2L<br /> |image=F2Linfo.png<br /> |proposers=[[René Schoof]]<br /> |year=1981<br /> |anames=First Two Layers<br /> |variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others<br /> |subgroup=&lt;nowiki&gt;&lt;U,R,L,F,B&gt;&lt;/nowiki&gt;<br /> |algs=42<br /> |moves=6.7 [[HTM]] a slot<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]], [[FMC]]<br /> |previous=[[Cross cube state]]<br /> |next=[[F2L cube state]]<br /> |previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]<br /> |nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]<br /> <br /> }}<br /> '''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br /> <br /> The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br /> <br /> [[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br /> <br /> &lt;br clear=all&gt;<br /> == Approaches ==<br /> <br /> === Petrus F2L ===<br /> <br /> Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br /> <br /> === Fridrich F2L ===<br /> There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br /> <br /> The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br /> <br /> {{F2L}}<br /> <br /> ==Easy Cases==<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 /> === F2L 1 ===<br /> [[Image:F2L01.png]]<br /> <br /> {{Alg|U (R U' R')|F2L}}<br /> {{Alg|R' F R F'|F2L}}<br /> {{Alg|U2 (R U2 R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 2 ===<br /> [[Image:F2L02.png]]<br /> <br /> {{Alg|y' U' (R' U R)|F2L}}<br /> {{Alg|U' (F' U F)|F2L}}<br /> {{Alg|F R' F' R|F2L}}<br /> {{Alg|d' L' U L|F2L}}<br /> {{Alg|r U R' U' M|F2L}}<br /> {{Alg|(U2) l R U' R' U l'|F2L}}<br /> {{Alg|(U2) l2 F' l' U l'|F2L}}<br /> {{Alg|(U') F R' F' R2 U' R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 3 ===<br /> [[Image:F2L03.png]]<br /> <br /> {{Alg|y' (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L)|F2L}}<br /> {{alg|F' U' F|F2L}}<br /> {{Alg|U M R U' R' U M'|F2L}}<br /> {{Alg|U r' R2 U' R' U M'|F2L}}<br /> <br /> |<br /> <br /> === F2L 4 ===<br /> [[Image:F2L04.png]]<br /> <br /> {{Alg|(R U R')|F2L}}<br /> {{Alg|(U2) L (R U' R') U L'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge==<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 /> === F2L 5 ===<br /> [[Image:F2L05.png]]<br /> <br /> {{Alg|(U' R U R') U2 (R U' R')|F2L}}<br /> {{Alg|(U' R U R') U (R' F R F')|F2L}}<br /> {{Alg|F2 (L' U' L U) F2|F2L}}<br /> {{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br /> {{Alg|U' (R U R') U' R U2 R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 6 ===<br /> [[Image:F2L06.png]]<br /> <br /> {{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br /> {{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br /> {{Alg|U' (r U' R' U) (R U r')|F2L}}<br /> {{Alg|R2 (B U B' U') R2|F2L}}<br /> {{Alg|y F2 (R U R' U') F2|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 7 ===<br /> [[Image:F2L07.png]]<br /> <br /> {{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br /> {{Alg|U' R U2 R' U' R U2 R'|F2L}}<br /> {{Alg|M' U' M U2 r U' r'|F2L}}<br /> {{Alg|R U B U2 B' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 8 ===<br /> [[Image:F2L08.png]]<br /> <br /> {{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br /> {{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br /> {{Alg|y' R' U' F' U2 F U' R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Reposition Edge and Flip Corner==<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 /> === F2L 9 ===<br /> [[Image:F2L09.png]]<br /> <br /> {{Alg|U' R U' R' d R' U' R |F2L}}<br /> {{Alg|d (R' U' R U') (R' U' R)|F2L}}<br /> {{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br /> {{Alg|U r U R' U' R2 r' U' R'|F2L}}<br /> {{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|F (R U R' U') F' R U' R'|F2L}}<br /> {{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br /> {{Alg|y F2 (U R U' R') F2|F2L}}<br /> <br /> |<br /> <br /> === F2L 10 ===<br /> [[Image:F2L10.png]]<br /> <br /> {{Alg|U' (R U R' U)(R U R')|F2L}}<br /> {{Alg|R d' R U R' U2 F'|F2L}}<br /> {{Alg|U F' U F U' R U R'|F2L}}<br /> {{Alg|d R' U R d' R U R'|F2L}}<br /> {{Alg|y2 B2 (U' R' U R) B2|F2L}}<br /> <br /> Back Right Slot Open: R' U R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 11 ===<br /> [[Image:F2L11.png]]<br /> <br /> {{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br /> {{Alg|(y) L' d L' U2 L U2 F|F2L}}<br /> {{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br /> {{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br /> {{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br /> {{Alg|U' l F U' R U l' U R'|F2L}}<br /> |<br /> <br /> === F2L 12 ===<br /> [[Image:F2L12.png]]<br /> <br /> {{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br /> {{Alg|d (R' U2 R) d' (R U R')|F2L}}<br /> {{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br /> {{Alg|R' U2 R2 U R2 U R|F2L}}<br /> {{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br /> {{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}<br /> Back right slot open: R' U2 R2 U R'<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 13 ===<br /> [[Image:F2L13.png]]<br /> <br /> {{Alg|d (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y' U (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|(U F' U F) U' (F' U' F)|F2L}}<br /> {{Alg|M' U' (R U R') U' (R U2 r')|F2L}}<br /> {{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}<br /> {{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}<br /> {{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}<br /> Back right slot open : R' U R F' U' F<br /> <br /> |<br /> <br /> === F2L 14 ===<br /> [[Image:F2L14.png]]<br /> <br /> {{Alg|U' (R U' R' U) (R U R')|F2L}}<br /> {{Alg|d' F U' F' d R U R'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Split Pair by Going Over==<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 /> === F2L 15 ===<br /> [[Image:F2L15.png]]<br /> <br /> {{Alg|M U L F' L' U' M'|F2L}}<br /> {{Alg|U (R' F R F') U (R U R')|F2L}}<br /> {{Alg|y' (R' U R U') d' (R U R')|F2L}}<br /> {{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br /> {{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br /> {{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}<br /> {{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}<br /> Front left slot open: U (R U' R') D (R U' R') D'<br /> <br /> Back right slot open: U' (R' U R U') (R U R')<br /> <br /> === F2L 16 ===<br /> [[Image:F2L16.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R)|F2L}}<br /> {{Alg|(R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br /> {{Alg|(U) R (F R U R' U' F') R'|F2L}}<br /> {{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}<br /> {{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}<br /> {{Alg|y M U' R' F R U M' y'|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 17 ===<br /> [[Image:F2L17.png]]<br /> <br /> {{Alg|(R U2 R') U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 18 ===<br /> [[Image:F2L18.png]]<br /> <br /> {{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br /> {{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br /> {{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br /> {{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br /> {{Alg|F' U2 F U F' U' F|F2L}}<br /> {{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Pair Made on Side==<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 /> === F2L 19 ===<br /> [[Image:F2L19.png]]<br /> <br /> {{Alg|U R U2 R2 (F R F')|F2L}}<br /> {{Alg|U (R U2 R') U (R U' R')|F2L}}<br /> {{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br /> |<br /> <br /> === F2L 20 ===<br /> [[Image:F2L20.png]]<br /> <br /> {{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br /> {{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br /> {{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br /> {{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br /> {{Alg|d' L' U2 L U' L' U L|F2L}} <br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 21 ===<br /> [[Image:F2L21.png]]<br /> {{Alg|(R U' R') U2 (R U R')|F2L}}<br /> {{Alg|U2 (R U R' U)(R U' R')|F2L}}<br /> {{Alg|R B U2 B' R'|F2L}}<br /> {{Alg|U2 R x' U' R U x R2'|F2L}}<br /> {{Alg|U F R U R' U' R' F' R|F2L}}<br /> |<br /> <br /> === F2L 22 ===<br /> [[Image:F2L22.png]]<br /> {{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br /> {{Alg|F' L' U2 L F|F2L}}<br /> {{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}<br /> {{Alg| r U' r' U2 r U r'|F2L}}<br /> {{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br /> {{Alg|d2 y' R' U' R U' R' U R|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Weird==<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 /> === F2L 23 ===<br /> [[Image:F2L23.png]]<br /> <br /> {{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br /> {{Alg|U (F R' F' R) U (R U R')|F2L}}<br /> {{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br /> {{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br /> {{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 24 ===<br /> [[Image:F2L24.png]]<br /> <br /> {{Alg|U F' L' U L F R U R'|F2L}}<br /> {{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}<br /> {{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br /> {{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br /> {{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br /> {{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br /> {{Alg|F U (R U' R' F')(R U' R')|F2L}}<br /> {{Alg|d' (F' L F L') U' (L' U' L)|F2L}}<br /> {{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Corner in Place, Edge in U Face==<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 /> === F2L 25 ===<br /> [[Image:F2L25.png]]<br /> <br /> {{Alg|d' (L' U L) d (R U' R')|F2L}}<br /> {{Alg|d' (L' U L) (F' L F L')|F2L}}<br /> {{Alg|y U' (L' U' L) U (F U F')|F2L}}<br /> {{Alg|U' (F' U F) U (R U' R')|F2L}}<br /> {{Alg|U' M' U R U' r' (R U R')|F2L}}<br /> {{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br /> {{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br /> {{Alg|R' F' R U R U' R' F|F2L}}<br /> {{Alg|(U') F' R U R' U' R' F R|F2L}}<br /> {{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br /> {{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br /> {{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br /> {{Alg|y U R' u' R U' R' U u R|F2L}}<br /> If the back right slot is open:<br /> {{Alg|R2 U' R' U R2|F2L}}<br /> {{Alg|U D' R U' R' D|F2L}}<br /> <br /> <br /> |<br /> <br /> === F2L 26 ===<br /> [[Image:F2L26.png]]<br /> <br /> {{Alg|U (R U' R') d' (L' U L)|F2L}}<br /> {{Alg|U (R U' R') U' (F' U F)|F2L}}<br /> {{Alg|U (R U' R') (F R' F' R)|F2L}}<br /> {{Alg|U R U (r' R U' R' U M')|F2L}}<br /> {{Alg|U R U' M' U R' U' M|F2L}}<br /> {{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br /> {{Alg|y (r U r' U') (r' F r F')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 27 ===<br /> [[Image:F2L27.png]]<br /> <br /> {{Alg|(R U' R' U)(R U' R')|F2L}}<br /> {{Alg|(R U' R2)(F R F')|F2L}}<br /> {{Alg|F' U' F U2 (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 28 ===<br /> [[Image:F2L28.png]]<br /> <br /> {{Alg|(R U R' U') F R' F' R |F2L}}<br /> {{Alg|(R U R') d (R' U2 R) |F2L}}<br /> {{Alg|y' (R' U R U')(R' U R)|F2L}}<br /> {{Alg|(R U R') U (F' U2 F)|F2L}}<br /> {{Alg|R U2 l U' R' U l'|F2L}}<br /> {{Alg|(R U R') U l2 F' l' U l'|F2L}}<br /> {{Alg|(F' U F2)(R' F' R)|F2L}}<br /> {{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 29 ===<br /> [[Image:F2L29.png]]<br /> <br /> {{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br /> {{Alg|(R' F R F')(R' F R F')|F2L}}<br /> {{Alg|M' U R U' r' U (R U' R')|F2L}}<br /> <br /> |<br /> <br /> === F2L 30 ===<br /> [[Image:F2L30.png]]<br /> <br /> {{Alg|(R U R' U')(R U R')|F2L}}<br /> {{Alg|U2 (F' U F)(R U R')|F2L}}<br /> {{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge in Place, Corner in U face==<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 /> === F2L 31 ===<br /> [[Image:F2L31.png]]<br /> <br /> {{Alg|(R U' R') d (R' U R)|F2L}}<br /> {{Alg|(R U' R' U)(F' U F)|F2L}}<br /> {{Alg|U' R' F R F' R U' R'|F2L}}<br /> {{Alg|R U' l U' R' U l'|F2L}}<br /> {{Alg|F2 r U r' F R U' R'|F2L}}<br /> {{Alg|R U2 R' U' F R' F' R|F2L}}<br /> |<br /> <br /> === F2L 32 ===<br /> [[Image:F2L32.png]]<br /> <br /> {{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br /> {{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br /> {{Alg|U2 R d' R U R' d R'|F2L}}<br /> {{Alg|U R d' R U2 R' d R'|F2L}}<br /> {{Alg|R2 U R2 U R2 U2 R2|F2L}}<br /> {{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br /> {{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 33 ===<br /> [[Image:F2L33.png]]<br /> <br /> {{Alg|y U' L' U' R' U L U' R|F2L}}<br /> {{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br /> {{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br /> {{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br /> {{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br /> {{Alg|y' U' R D R' U R D' R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 34 ===<br /> [[Image:F2L34.png]]<br /> <br /> {{Alg|U' (R U2' R') U (R U R')|F2L}}<br /> {{Alg|U (R U R') U2 (R U R')|F2L}}<br /> {{Alg|d (R' U R) U2 (R' U R)|F2L}}<br /> {{Alg|y (U L' U L) U2 (L' U L)|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 35 ===<br /> [[Image:F2L35.png]]<br /> <br /> {{Alg|(U' R U R') d (R' U' R)|F2L}}<br /> {{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br /> {{Alg|U M' U R U' r' R U' R'|F2L}}<br /> {{Alg|U' l U' R U l' U R'|F2L}}<br /> <br /> |<br /> <br /> === F2L 36 ===<br /> [[Image:F2L36.png]]<br /> <br /> {{Alg|d (R' U' R) d' (R U R')|F2L}}<br /> {{Alg|y U2 (L' U L) U (F U F')|F2L}}<br /> {{Alg|U F' U' F U' (R U R')|F2L}}<br /> {{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> ==Edge and Corner in Place==<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 /> === F2L 37 ===<br /> [[Image:F2L37.png]]<br /> <br /> Solved<br /> <br /> |<br /> <br /> === F2L 38 ===<br /> [[Image:F2L38.png]]<br /> <br /> {{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br /> {{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br /> {{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br /> {{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 39 ===<br /> [[Image:F2L39.png]]<br /> <br /> {{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br /> {{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}<br /> {{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br /> {{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br /> {{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br /> {{Alg|R U' R' F2 L' U' L U F2|F2L}}<br /> {{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}<br /> <br /> === F2L 40 ===<br /> [[Image:F2L40.png]]<br /> <br /> {{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br /> {{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br /> {{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br /> <br /> |-valign=&quot;top&quot;<br /> |<br /> <br /> === F2L 41 ===<br /> [[Image:F2L41.png]]<br /> <br /> {{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br /> {{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br /> {{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br /> {{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br /> {{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br /> {{Alg|R F (U R U' R' F') U' R'|F2L}}<br /> |<br /> <br /> === F2L 42 ===<br /> [[Image:F2L42.png]]<br /> <br /> {{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br /> {{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br /> {{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br /> {{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br /> {{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br /> {{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br /> {{Alg| R U (F R U R' U' F') R'|F2L}} <br /> |-valign=&quot;top&quot;<br /> |}<br /> <br /> == See also ==<br /> * [[Keyhole First Two Layers]]<br /> * [[Intuitive solving]]<br /> * [[Advanced F2L]]<br /> * [[ZBLS]]<br /> * [[Fridrich Method]]<br /> * [[Petrus Method]]<br /> <br /> == External Resources ==<br /> === Beginner ===<br /> * [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br /> <br /> === Standard ===<br /> * [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br /> * [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br /> * [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br /> * [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br /> * [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br /> * [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br /> * [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]<br /> * [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]<br /> * Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br /> * Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto<br /> <br /> === Advanced ===<br /> * [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br /> * [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br /> * [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br /> <br /> <br /> <br /> [[Category:3x3x3 other substeps]]<br /> <br /> __NOTOC__</div> Xitvono