https://www.speedsolving.com/wiki/api.php?action=feedcontributions&user=David&feedformat=atomSpeedsolving.com Wiki - User contributions [en]2024-03-28T12:53:37ZUser contributionsMediaWiki 1.34.0https://www.speedsolving.com/wiki/index.php?title=OLL&diff=36074OLL2018-03-02T14:41:08Z<p>David: Added another alg for Zamboni</p>
<hr />
<div>{{Substep Infobox<br />
|name=OLL<br />
|image=OLLinfo.png<br />
|proposers= [[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]<br />
|year=<br />
|anames=<br />
|variants=<br />
|subgroup=<nowiki></nowiki><br />
|algs=57<br />
|moves=9.7 [[HTM]]<br />
|purpose=<sup></sup><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&view=default&puzzle=3&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 />
<br>{{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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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&feature=related}}<br />
{{Alg|F (R U R' U') S (R U R' U') f'|OLL}}<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 />
{{Alg|(y2) (F R' F' R) U2 F R' F' R2 U2 R'|OLL}}<br />
{{Alg|F R F' U2 f R2 f' U2 F R' F'|OLL}}<br />
<br />
|-valign="top"<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&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="top"<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 />
=="P" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 31 ===<br />
{{case<br />
|image=o31.gif<br />
|name=Couch<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=Anti-Couch<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="top"<br />
|<br />
<br />
=== OLL 43 ===<br />
{{case<br />
|image=o43.gif<br />
|name=Anti-P<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=P<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 />
=="W" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 36 ===<br />
{{case<br />
|image=o36.gif<br />
|name=Sea-Mew, Wario, Anti-Moustache<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 />
{{Alg|R U' R' U' F (U R U' R') F' R U2 R'|OLL}}<br />
{{Alg|(y2) (F R' F' R) U (R U R' U')2 R U' R'|OLL}}<br />
<br />
=== OLL 38 ===<br />
{{case<br />
|image=o38.gif<br />
|name=Mario, Moustache<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 />
=="L" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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="top"<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|(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 />
This alg was written but doesn't solve the OLL:<br />
{{Alg|(y') l U2 L U L' U' L U L' U' l'|OLL}}<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|(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 />
This alg was written but doesn't solve the OLL:<br />
{{Alg|(y) l' U2 L U L' U' L U L' U' l|OLL}}<br />
|-valign="top"<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 />
=="C" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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 />
{{Alg|(R U R' U') y l' U' L U M|OLL}}<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 />
=="T" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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 />
=="I" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 55 ===<br />
{{case<br />
|image=o55.gif<br />
|name= Highway, Freeway<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 />
{{Alg|(y) F (R U R' U') S (R U R' U') S' (R U R' U') F' |OLL}}<br />
{{Alg| R' U' (F R' F' R) F (U R U' R') F' 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="top"<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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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&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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 7 ===<br />
{{case<br />
|image=o7.gif<br />
|name=Lightning, Wide Sune<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), 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="top"<br />
|<br />
<br />
=== OLL 11 ===<br />
{{case<br />
|image=o11.gif<br />
|name=Downstairs<br />
|methods=OLL<br />
|optimal=11 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg| F' (L' U' L U) F y F (R U R' U') F'|OLL}}<br />
{{Alg| R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}<br />
{{Alg|(y) r U R' U R' F R F' R U2 r'|OLL}}<br />
{{Alg|(y') r' R2 U R' U R U2 R' U M'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 12 ===<br />
{{case<br />
|image=o12.gif<br />
|name=Upstairs<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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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) 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 />
This alg was written but doesn't solve the OLL:<br />
{{Alg|(y') R' U' R x U' R' U y R U y' R U' x'|OLL}}<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="top"<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 />
{{Alg|(y) R2 D r' U r D' r' U' R' U M'|OLL}}<br />
{{Alg| f (R U R' U') f' (R U R' U R U2 R')|OLL}}<br />
<br />
|<br />
<br />
=== OLL 37 ===<br />
{{case<br />
|image=o37.gif<br />
|name=Mounted Fish, Untying Shoelaces<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 />
{{Alg|(y2) M' U' L' U l y' U R U' R'|OLL}}<br />
|}<br />
<br />
==Knight move shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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="top"<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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 29 ===<br />
{{case<br />
|image=o29.gif<br />
|name=Spotted Chameleon<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=Anti-Spotted Chameleon<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 />
{{Alg|(y2) r2 D r' U' r D' r2' U r U r'|OLL}}<br />
{{Alg|(y') r' D' r U' r' D r2 U' r' U r U r'|OLL}}<br />
{{Alg|(y2) r' D' r U r' D r U' r U R' U' M|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 41 ===<br />
{{case<br />
|image=o41.gif<br />
|name= Awkward Fish, Dalmation<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|(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 />
This alg was written but doesn't solve the OLL:<br />
{{Alg|(y') (L F' L' F)2 L' U' L U L' U' L|OLL}}<br />
|<br />
<br />
=== OLL 42 ===<br />
{{case<br />
|image=o42.gif<br />
|name= Lefty Awkward Fish, Anti-Dalmation<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="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<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 />
{{Alg|R2 F2 L F L' F2 R F' 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|R U R' U' M' U R U' r' |OLL}}<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' B2 M U M' U' B2 |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=12 [[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 />
<br>{{OLL}}<br />
<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Acronyms]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>David