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		<id>https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=6146</id>
		<title>PLL</title>
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		<updated>2009-12-17T15:15:40Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* R Permutation : b */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
&#039;&#039;&#039;PLL&#039;&#039;&#039; is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or &#039;T perm&#039;) swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].&lt;br /&gt;
{{PLL}}&lt;br /&gt;
&lt;br /&gt;
Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.&lt;br /&gt;
&lt;br /&gt;
==Permutations of Edges Only==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;EPLL&#039;&#039;&#039; is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).&lt;br /&gt;
&lt;br /&gt;
===H Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:h.gif]]&lt;br /&gt;
&lt;br /&gt;
* M2 U&#039; M2 U2&#039; M2 U&#039; M2&lt;br /&gt;
* R2&#039; r2 U&#039; L2 l2&#039; U2 R2&#039; r2 U&#039; L2 l2&#039;&lt;br /&gt;
* U&#039; M2 U2 M2 U M2 U2 M2&lt;br /&gt;
* F2 M2 F2 U&#039; F2 M2 F2 U&lt;br /&gt;
* x U2 M2 U2 B&#039; U2 M2 U2 B&lt;br /&gt;
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U&#039;&lt;br /&gt;
* L R U2 L&#039; R&#039; F&#039; B&#039; U2 F B&lt;br /&gt;
* R U2 R&#039; U&#039; R&#039; U&#039; R2 U&#039; R2 U2 R2 U2 R&#039; U&lt;br /&gt;
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2&lt;br /&gt;
* M2 U M2 U M2 U M2 U M2 U M2 U&#039;&lt;br /&gt;
* M2 U M2 U2 M2 U M2&lt;br /&gt;
* R&#039; D&#039; R D&#039; B D B&#039; D R&#039; D&#039; R U R&#039; D R D&#039; B D&#039; B&#039; D R&#039; D R U&lt;br /&gt;
&lt;br /&gt;
===U Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:u1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) F2 U&#039; L R&#039; F2 L&#039; R U&#039; F2&lt;br /&gt;
* M2 U M&#039; U2 M U M2&lt;br /&gt;
* (y2) M2 U M U2 M&#039; U M2&lt;br /&gt;
* R2 U&#039; R&#039; U&#039; R U R U R U&#039; R&lt;br /&gt;
* (y2) L2 U&#039; L&#039; U&#039; L U L U L U&#039; L&lt;br /&gt;
* B2 U&#039; M&#039; U2 M U&#039; B2&lt;br /&gt;
* (y2) R U&#039; R U R U R U&#039; R&#039; U&#039; R2&lt;br /&gt;
* M2 U M&#039; U2 M U2 M&#039; U2 M U M2&lt;br /&gt;
* (y) R2 U&#039; y r U2 r&#039; R U2 R&#039; y&#039; U&#039; R2&lt;br /&gt;
* R U R&#039; U&#039; L&#039; U&#039; L U2 R U&#039; R&#039; U&#039; L&#039; U L&lt;br /&gt;
* (y) R2&#039; U&#039; S&#039; U2 S U&#039; R2&#039;&lt;br /&gt;
&lt;br /&gt;
===U Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:u.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) F2 U R&#039; L F2 R L&#039; U F2&lt;br /&gt;
* M2 U&#039; M&#039; U2 M U&#039; M2&lt;br /&gt;
* (y2) M2 U&#039; M U2 M&#039; U&#039; M2&lt;br /&gt;
* R&#039; U R&#039; U&#039; R&#039; U&#039; R&#039; U R U R2&lt;br /&gt;
* (y2) R2&#039; U R U R&#039; U&#039; R&#039; U&#039; R&#039; U R&#039;&lt;br /&gt;
* B2 U M&#039; U2 M U B2&lt;br /&gt;
* L2 U L U L&#039; U&#039; L&#039; U&#039; L&#039; U L&#039;&lt;br /&gt;
* R U&#039; R U R U R&#039; U&#039; R&#039; U&#039; R&#039; U2 R&#039;&lt;br /&gt;
* M2 U&#039; M&#039; U2 M U2 M&#039; U2 M U&#039; M2&lt;br /&gt;
* L&#039; U&#039; L U R U R&#039; U2 L&#039; U L U R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===Z Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:z.gif]]&lt;br /&gt;
* y x&#039; R U&#039; R&#039; U D R&#039; D U&#039; R&#039; U R D2&#039; F x&lt;br /&gt;
* x  L&#039; U  L  U&#039; D&#039; L  D&#039; U  L  U&#039; L&#039; D2 F&#039; x&#039;&lt;br /&gt;
* M2 U M2 U M U2 M2 U2 M U2&lt;br /&gt;
* y M2 U M2 U M&#039; U2 M2 U2 M&#039; U2&lt;br /&gt;
* y M2&#039; U&#039; M&#039; U2&#039; M2&#039; U2&#039; M&#039; U M2&#039;&lt;br /&gt;
* y U R&#039; U&#039; R U&#039; R U R U&#039; R&#039; U R U R2 U&#039; R&#039; U&lt;br /&gt;
* R2 U R2 U&#039; R2 F2 R2 U&#039; F2 U R2 F2&lt;br /&gt;
* y&#039; M2 U2 M&#039; U&#039; M2 U&#039; M2 U&#039; M&#039; U&lt;br /&gt;
* R&#039; U L&#039; U2 D2 R U&#039; L R&#039; U L&#039; U2 D2 R U&#039; L&lt;br /&gt;
* R&#039; U L&#039; E2 L U&#039; R L&#039; U R&#039; E2 R U&#039; L&#039;&lt;br /&gt;
* y R2 U&#039; R2 U R2 x&#039; U2 R2 F U2 F&#039; R2 U2&lt;br /&gt;
* M&#039; U M2 U M2 U M&#039; U2 M2 U&#039;&lt;br /&gt;
* U&#039; l&#039; U R U&#039; D&#039; R U D&#039; R U&#039; R&#039; D2&lt;br /&gt;
* d R U R2 U&#039; R&#039; F R U R U&#039; R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* M2 U&#039; M E2 M E2 U M2&lt;br /&gt;
* F2 M2 F2 M2 U M2 U M2 U2&lt;br /&gt;
* U2&#039; R U R U&#039; R U2 R U&#039; R&#039; U&#039; R U R&#039; U&#039; R&#039; U R U&#039; R U&#039; R U R U&#039; R&#039; U&#039; R&#039; U&#039; R U&#039; R&lt;br /&gt;
* y R U R&#039; U R&#039; U&#039; R&#039; U R U&#039; R&#039; U&#039; R2 U R U2&lt;br /&gt;
* y&#039; R U R B&#039; R&#039; B U&#039; R&#039; f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* (x2 y)  M2 U S2 U&#039; S&#039; M2 S&lt;br /&gt;
* M2 U (F2 M2 F2 M2) U&#039; M2&lt;br /&gt;
&lt;br /&gt;
==Permutations of Corners Only==&lt;br /&gt;
This is also known as &#039;&#039;&#039;CPLL&#039;&#039;&#039; (Corner Permute Last Layer).&lt;br /&gt;
&lt;br /&gt;
===A Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:a1.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R&#039; B2 R F&#039; R&#039; B2 R2&lt;br /&gt;
* (x&#039;) R&#039; D R&#039; U2 R D&#039; R&#039; U2 R2&lt;br /&gt;
* (x) R&#039; U R&#039; D2 R U&#039; R&#039; D2 R2&lt;br /&gt;
* (y&#039; x) L2 D2 L&#039; U&#039; L D2 L&#039; U L&#039; &lt;br /&gt;
* (y2) (L&#039; B L&#039;) (F2 L B&#039; L&#039;) (F2 L2)&lt;br /&gt;
* (y2 z) F2 R U2 R&#039; U2 F2 L&#039; U2 L U2&lt;br /&gt;
* (y z&#039;) U2 R U2 R&#039; F2 U2 L&#039; U2 L F2&lt;br /&gt;
* R&#039; U2 R2 U&#039; L&#039; U R&#039; U&#039; L U R&#039; U2 R&lt;br /&gt;
* (y) R2 F2 (R&#039; B&#039; R) F2 (R&#039; B R&#039;)&lt;br /&gt;
&lt;br /&gt;
===A Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:a.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R F2 R&#039; B R F2 R2 &lt;br /&gt;
* (x) R D&#039; R U2 R&#039; D R U2 R2&lt;br /&gt;
* (x&#039;) R U&#039; R D2 R&#039; U R D2 R2 &lt;br /&gt;
* (y&#039; x) R2 D2 R U R&#039; D2 R U&#039; R&lt;br /&gt;
* (y2 x) L U&#039; L D2 L&#039; U L D2 L2 &lt;br /&gt;
* (y z) U2 L&#039; U2 L F2 U2 R U2 R&#039; F2&lt;br /&gt;
* (z&#039;) F2 L&#039; U2 L U2 F2 R U2 R&#039; U2&lt;br /&gt;
* (y&#039;) R&#039; U2 R U&#039; L&#039; U R U&#039; L U R2 U2 R&lt;br /&gt;
* (z) (U R&#039; D r2 U&#039;) (R U r2&#039; U&#039;) (D&#039;)&lt;br /&gt;
* (z&#039; y2) (U&#039; r x) (l2&#039; U L U&#039;) (R&#039; U) (L&#039; U&#039; L&#039;) (R&#039; U)&lt;br /&gt;
&lt;br /&gt;
===E Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:e.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 U R&#039; U&#039; y (R U R&#039; U&#039;)*2 R U R&#039; y&#039; R U&#039; R2&#039;&lt;br /&gt;
* x U R&#039; U&#039; L U R U&#039; L&#039; U R U&#039; L U R&#039; U&#039; L&#039;&lt;br /&gt;
* y x&#039; R U&#039; R&#039; D R U R&#039; D2 L&#039; U L D L&#039; U&#039; L&lt;br /&gt;
* y x&#039; R U&#039; R&#039; D R U R&#039; D&#039; R U R&#039; D R U&#039; R&#039; D&#039;&lt;br /&gt;
* x U R&#039; U&#039; L U R U&#039; r2&#039; U&#039; R U L U&#039; R&#039; U&lt;br /&gt;
* y x R U&#039; R&#039; D R U R&#039; u2 R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* y x (L&#039; U  L)  D&#039; (L&#039; U&#039; L)  u2  (L  U&#039; L&#039;) D&#039; (L  U  L&#039;)&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; l U R&#039; U&#039; L U R U&#039; l&#039; U&lt;br /&gt;
* (r&#039; R&#039; U&#039;) (L D&#039; L&#039; U L) (R U&#039; R&#039; D R) U&lt;br /&gt;
* r2 U r2 D x&#039; (R U&#039; R&#039; U)3 x D&#039; r2 U&#039; r2&lt;br /&gt;
* x&#039; U&#039; R U L&#039; U&#039; R&#039; U r2 U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* y&#039; z&#039; R&#039; F R2 U R&#039; B&#039; R U&#039; R2 F&#039; R z R B R&#039;&lt;br /&gt;
* R&#039; U L&#039; D2 L U&#039; R L&#039; U R&#039; D2 R U&#039; L&lt;br /&gt;
* (R B L B&#039; R&#039;) y (R L) y (L B&#039; R&#039; B L&#039;) y&#039; (R&#039; L&#039;)&lt;br /&gt;
* l&#039; U&#039; (r&#039; F R F&#039;) (R U R&#039; U&#039;) L (U R U&#039; R&#039;) F&lt;br /&gt;
* (F&#039; R U R&#039; U&#039;) L&#039; U R U&#039; (l&#039; U R&#039; U&#039; r) B R&lt;br /&gt;
&lt;br /&gt;
==Permutations of Edges and Corners==&lt;br /&gt;
&lt;br /&gt;
===F Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:f.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R U&#039; R&#039; U R2 y R U R&#039; U&#039; x U&#039; R&#039; U R U2&lt;br /&gt;
* yz R U R&#039; U&#039; R U2 z&#039; y&#039; R U R&#039; U&#039; y x L&#039; U&#039; L U L2 x&#039;&lt;br /&gt;
* R&#039; U R U&#039; R2 F&#039; U&#039; F U x R U R&#039; U&#039; R2 B&#039;&lt;br /&gt;
* R&#039; U R U&#039; R2&#039; F&#039; U&#039; F U R U&#039; x&#039; R2 U&#039; R&#039; U&lt;br /&gt;
* R&#039; U R U&#039; R2 y&#039; R&#039; U&#039; R U y x R U R&#039; U&#039; R2 x&#039;&lt;br /&gt;
* y R U R&#039; U R U2 R2 U&#039; R U&#039; R&#039; U2 R U r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* R&#039; U2 R&#039; d&#039; R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R U&#039; F&lt;br /&gt;
* (y) U&#039; R&#039; U R U&#039; R&#039;2 F&#039; U&#039; F U R x U R&#039; U&#039; R2&lt;br /&gt;
* (y2) M U2 r&#039; U l&#039; U2 r U&#039; R2 r U2 R2&lt;br /&gt;
* (y) R&#039; U&#039; F&#039; R U R&#039; U&#039; R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; U R (from [[here: http://www.speedcubers.de/forum/showthread.php?tid=1807]])&lt;br /&gt;
&lt;br /&gt;
===G Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:g3.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y) R2&#039; u R&#039; U R&#039; U&#039; R u&#039; R2 y&#039; R&#039; U R&lt;br /&gt;
* (y) R2 D B&#039; U B&#039; U&#039; B D&#039; R2 F&#039; U F&lt;br /&gt;
* (y2) F2&#039; D R&#039; U R&#039; U&#039; R D&#039; F2 L&#039; U L&lt;br /&gt;
* R L U2 R&#039; L&#039; y&#039; R&#039; U L&#039; U2 R U&#039; L&lt;br /&gt;
&lt;br /&gt;
===G Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:g2.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R y R2 u R&#039; U R U&#039; R u&#039; R2&lt;br /&gt;
* R&#039; U&#039; R B2 D L&#039; U L U&#039; L D&#039; B2&lt;br /&gt;
* (y2) L&#039; U&#039; L y&#039; R2&#039; u R&#039; U R U&#039; R u&#039; R2 &lt;br /&gt;
* (y&#039;) R&#039; U L&#039; U2 R U&#039; L y R L U2 L&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===G Permutation : c===&lt;br /&gt;
&lt;br /&gt;
[[Image:g1.gif]]&lt;br /&gt;
* (y) R2&#039; u&#039; R U&#039; R U R&#039; u R2 y R U&#039; R&#039;&lt;br /&gt;
* (y) R2&#039; u&#039; R U&#039; R U R&#039; u R2 B U&#039; B&#039;&lt;br /&gt;
* (y) R2&#039; D&#039; F U&#039; F U F&#039; D R2 B U&#039; B&#039;&lt;br /&gt;
* (y2) F2&#039; D&#039; L U&#039; L U L&#039; D F2 R U&#039; R&#039;&lt;br /&gt;
* L&#039; R&#039; U2 L R (y) L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
* (y&#039;) l&#039; U&#039; U&#039; L&#039; U l F&#039; U&#039; L U F R&#039; F R&lt;br /&gt;
&lt;br /&gt;
===G Permutation : d===&lt;br /&gt;
&lt;br /&gt;
[[Image:g.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R U R&#039; y&#039; R2 u&#039; R U&#039; R&#039; U R&#039; u R2&lt;br /&gt;
* (y2) R U R&#039; F2 D&#039; L U&#039; L&#039; U L&#039; D F2&lt;br /&gt;
* (y2) l2 U&#039; L2 U&#039; F2 L&#039; U&#039; R U2 L&#039; U l x&lt;br /&gt;
* (y) L U&#039; R U2 L&#039; U R&#039; y R&#039; L&#039; U2 R L&lt;br /&gt;
* (y) L U&#039; R U2 L&#039; U R&#039; y&#039; L&#039; R&#039; U2 L R&lt;br /&gt;
* (y&#039;) R&#039; F&#039; R F&#039; U&#039; L&#039; U F R&#039; F&#039; L F2 R&lt;br /&gt;
*  U&#039; x R&#039; U R&#039; D2 R U&#039; R&#039; D2 x&#039; U R&#039; U&#039; R U R U R U&#039; R      (This one seems long, but it&#039;s just a combination of A(a) and U(a))&lt;br /&gt;
&lt;br /&gt;
===J Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:j1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R&#039; U2 R U R&#039; z&#039; R2&#039; U R&#039; D R U&#039;&lt;br /&gt;
* (y2) L&#039; R&#039; U2 R U R&#039; U2 L U&#039; R U&lt;br /&gt;
* (y2) F2 L&#039; U&#039; r U2 l&#039; U R&#039; U&#039; R2&lt;br /&gt;
* (y2) R&#039; U2 R U R&#039; U2&#039; L U&#039; R U L&#039;&lt;br /&gt;
* (y2) x U2 r&#039; U&#039; r U2 l&#039; U R&#039; U&#039; R2&lt;br /&gt;
* (y) R&#039; U L&#039; U2 R U&#039; R&#039; U2 L R U&#039;&lt;br /&gt;
* B2&#039; R2 U&#039; R2&#039; u R2 D&#039; R2&#039; U R2&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U2 L U&#039; L&#039; U2&#039; L&lt;br /&gt;
* R L d2 R&#039; U&#039; R d2 R&#039; U L&#039;&lt;br /&gt;
* (L&#039; U R&#039; U2 L U&#039; R) U (L&#039; U R&#039; U2 L U&#039; R)&lt;br /&gt;
* L&#039; U R&#039; U2 L U&#039; R U L&#039; U R&#039; U2 L U&#039; R&lt;br /&gt;
* L&#039; U2 L U L&#039; U2 R U&#039; L U R&#039;&lt;br /&gt;
* L&#039; U&#039; L F L&#039; U&#039; L U L F&#039; L2 U L U&lt;br /&gt;
&lt;br /&gt;
===J Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:j.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R&#039; U&#039; R U2 L&#039; U R&#039; U&#039; L&lt;br /&gt;
* R U2 R&#039; U&#039; R d2&#039; R&#039; U L&#039; U&#039; R&lt;br /&gt;
* y2 R L U2 L&#039; U&#039; L U2 R&#039; U L&#039; U&#039;&lt;br /&gt;
* (R U R&#039; F&#039;) (R U R&#039; U&#039; R&#039;) F (R2 U&#039; R&#039; U&#039;)&lt;br /&gt;
* y&#039; L U&#039; Rw U2 Lw&#039; U R&#039; U&#039; Lw2  F2 L2&lt;br /&gt;
* y&#039; L&#039; U&#039; R U2 L&#039; U L U2 L&#039; R U&lt;br /&gt;
* y2 F2&#039; R U R&#039; y r2 y&#039; R U&#039; R U R2&#039;&lt;br /&gt;
* L&#039; U R U&#039; L U2 R&#039; U R U2&#039; R&#039;&lt;br /&gt;
* y2 r2 U&#039; L&#039; U r&#039; U2 R B&#039; R&#039; U2&lt;br /&gt;
* (R U&#039; L U2 R&#039; U L) U&#039; (R U&#039; L U2 R&#039; U L)&lt;br /&gt;
* L&#039; U R&#039; U2 L U&#039; L&#039; U2 R L&lt;br /&gt;
&lt;br /&gt;
===N Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:n1.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U R2 B2 U R&#039; B2&#039; R U&#039; B2 R2&#039; U&#039; R&lt;br /&gt;
* z D R&#039; U R2 D&#039; R (U&#039; D) R&#039; U R2 D&#039; R U&#039; R&lt;br /&gt;
* y&#039; L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
* R U&#039; R&#039; U l U F U&#039; R&#039; F&#039; R U&#039; R U l&#039; U R&#039;&lt;br /&gt;
* L U&#039; L&#039; U L F U F&#039; L&#039; U&#039; L F&#039; L F L&#039; U L&#039;&lt;br /&gt;
* R U&#039; L d2 L&#039; U L R&#039; U&#039; R U2 r&#039; F l&#039; U&#039; y2&lt;br /&gt;
* L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
* y z R&#039; U R&#039; D R2&#039; U&#039; R U D&#039; R&#039; D R2&#039; U&#039; R D&#039;&lt;br /&gt;
* R U&#039; L d2 L&#039; U L R&#039; U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
* F&#039; R U R&#039; U&#039; R&#039; F R2 F U&#039; R&#039; U&#039; R U F&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===N Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:n.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R2&#039; F2 U&#039; R F2&#039; R&#039; U F2 R2 U R&#039;&lt;br /&gt;
* z U&#039; R D&#039; R2&#039; U R&#039; (U&#039; D) R D&#039; R2 U R&#039; D &lt;br /&gt;
* z (D&#039; R U&#039; R2&#039; D R3 U) * 2&lt;br /&gt;
* L&#039; U R&#039; U2&#039; L U&#039; L&#039; R U R&#039; U2&#039; L U&#039; R U&#039;&lt;br /&gt;
* R&#039; U R U&#039; R&#039; F&#039; U&#039; F R U R&#039; F R&#039; F&#039; R U&#039; R&lt;br /&gt;
* z U&#039; R D&#039; R2 U R&#039; U&#039; z&#039; R U R&#039; z R2 U R&#039; z&#039; R U&#039;&lt;br /&gt;
* L&#039; U R&#039; z R2 U R&#039; U z&#039; R U R&#039; z R2 U R&#039; z&#039; R U&#039;&lt;br /&gt;
* L&#039; U L U&#039; r&#039; U&#039; F&#039; U L F L&#039; U L&#039; U&#039; r U&#039; L&lt;br /&gt;
* L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
* R&#039; U R U&#039; R&#039; F&#039; U&#039; F R U R&#039; U&#039; R&#039; d R U R&#039;&lt;br /&gt;
* R&#039; U L&#039; U2 R U&#039; L R&#039; U L&#039; U2 R U&#039; L&lt;br /&gt;
&lt;br /&gt;
===R Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:r1.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 z U R2 U&#039; R2 U F&#039; U&#039; R&#039; U R U F U2 R&lt;br /&gt;
* y&#039; R2 B&#039; R&#039; U&#039; R&#039; U R B R&#039; U2 R U2 R&#039;&lt;br /&gt;
* R U2 R&#039; U2 R B&#039; R&#039; U&#039; R U R B R2&#039; U&lt;br /&gt;
* R U2 R&#039; U2 R B&#039; R&#039; U&#039; R U l U R2 F&lt;br /&gt;
* U2 R&#039; U&#039; R U2 R U2 L&#039; R2 U R U&#039; R L U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; F&#039; R U2 R&#039; U2 R&#039; F R U R U2 R&#039; U&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R&#039; F&#039; R U2 R U2 R&#039; F R U&#039; R&#039; U&lt;br /&gt;
* R U2 R D R&#039; U R D&#039; R&#039; U&#039; R&#039; U R U R&#039; U&lt;br /&gt;
* y2 L U2 L&#039; U2 L F&#039; L&#039; U&#039; L U L F L2 U&lt;br /&gt;
* R l U&#039; l&#039; U&#039; R&#039; U l U l&#039; U2 R U2&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===R Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:r.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U2 R U2 R&#039; F R U R&#039; U&#039; R&#039; F&#039; R2&#039; U&#039;&lt;br /&gt;
* y R2 B2 U&#039; R&#039; U&#039; R U R U B2 R U&#039; R U&lt;br /&gt;
* R&#039; U2 R U&#039; y&#039; R&#039; F R B&#039; R&#039; F&#039; R z x&#039; R&#039; U R&#039;&lt;br /&gt;
* y2 R&#039; U2 l R U&#039; R&#039; U l&#039; U2&#039; R F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* R&#039; U2 R&#039; D&#039; R U&#039; R&#039; D R U R U&#039; R&#039; U&#039; R U&#039;&lt;br /&gt;
* (y x) R2 U l U R U&#039; l&#039; U&#039; l U2 R&#039; U2 R&lt;br /&gt;
* r&#039; L&#039; U r U L U&#039; r&#039; U&#039; r U2 L&#039; U2 L&lt;br /&gt;
&lt;br /&gt;
===T Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:t.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 L&#039; U&#039; L U L F&#039; L2 U L U L&#039; U&#039; L F&lt;br /&gt;
* F R U&#039; R&#039; U R U R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* L2 U&#039; L2 D F2 R2 U R2 D&#039; F2&lt;br /&gt;
* R2 U&#039; R2 D B2 L2 U L2 D&#039; B2&lt;br /&gt;
* R2&#039; u&#039; R2 U R2&#039; y R2 u R2&#039; U&#039; R2&lt;br /&gt;
* R2 U R2&#039; U&#039; R2 U&#039; D R2&#039; U&#039; R2 U R2&#039; D&#039;&lt;br /&gt;
* (z x2) U2 r&#039; U2 r U2 x U2 r U2 r&#039; U2&lt;br /&gt;
&lt;br /&gt;
===V Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:V.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U R&#039; U&#039; y x R&#039; U&#039; R2 x&#039; U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; B&#039; D B&#039; D&#039; B2 R&#039; B&#039; R B R&lt;br /&gt;
* R&#039; U R&#039; U&#039; x2 y&#039; R&#039; U R&#039; U&#039; l R U&#039; R&#039; U R U&lt;br /&gt;
* y L&#039; U R U&#039; L U L&#039; U R&#039; U&#039; L U2 R U2 R&#039;&lt;br /&gt;
* y2 R U&#039; L&#039; U R&#039; U&#039; R U&#039; L U R&#039; U2 L&#039; U2 L&lt;br /&gt;
* y&#039; R&#039; U L U&#039; R U R&#039; U L&#039; U&#039; R U2 L U2 L&#039;&lt;br /&gt;
* L U&#039; R&#039; U L&#039; U&#039; L U&#039; R U L&#039; U2 R&#039; U2 R&lt;br /&gt;
* R&#039; U R&#039; d&#039; R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; y z&#039; U&#039; R U&#039; R&#039; U2 y&#039; R&#039; U&#039; R U R&lt;br /&gt;
* R&#039; U R&#039; U&#039; y R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; y R&#039; D R&#039; D&#039; R2 F&#039; R&#039; F R F&lt;br /&gt;
* R&#039; U2 R U2 L U&#039; R&#039; U L&#039; U L U&#039; R U L&#039;&lt;br /&gt;
* R&#039; U2 R U2 L U&#039; R&#039; U r&#039; F r U&#039; R U r&#039;&lt;br /&gt;
&lt;br /&gt;
===Y Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:Y.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U&#039; R&#039; U&#039; R U R&#039; F&#039; R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R2 u R2&#039; U R2 D&#039; R&#039; U&#039; R F2&#039; R&#039; U R&lt;br /&gt;
* F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R&#039; U&#039; R F2 R&#039; U R d R2 U&#039; R2&#039; U&#039; R2&lt;br /&gt;
* R2 U&#039; R&#039; U R U&#039; z&#039; y&#039; L&#039; U&#039; R U&#039; R&#039; U&#039; L U y z&lt;br /&gt;
* y F&#039; L&#039; U L U L&#039; U&#039; L F L&#039; U&#039; L U L&#039; F&#039; L F&lt;br /&gt;
* F R U&#039; R&#039; F D R&#039; y x R&#039; U&#039; R z R2 y L&#039; d2&lt;br /&gt;
* z&#039; U2 L&#039; U&#039; L U L&#039; y&#039; L&#039; U&#039; R U&#039; R&#039; U&#039; L U&lt;br /&gt;
* F R&#039; F&#039; R U R U&#039; R2 U&#039; R U l U&#039; R&#039; U&lt;br /&gt;
* z U2 R U R&#039; U&#039; R y R U L&#039; U L U R&#039; U&#039;&lt;br /&gt;
* F R U&#039; R&#039; U&#039; R d R U R&#039; B&#039; R U&#039; R2&lt;br /&gt;
* R&#039; F R F&#039; y&#039; U&#039; R&#039; U R2 U R&#039; U&#039; R&#039; F R F&#039; U&#039;&lt;br /&gt;
* y2 z U2 R&#039; U2 R&#039; U2 R B R B &#039; U2 B R&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;{{PLL}}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[2-Look PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=5814</id>
		<title>PLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=5814"/>
		<updated>2009-10-29T21:08:44Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* N Permutation : b */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
&#039;&#039;&#039;PLL&#039;&#039;&#039; is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or &#039;T perm&#039;) swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].&lt;br /&gt;
{{PLL}}&lt;br /&gt;
&lt;br /&gt;
Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.&lt;br /&gt;
&lt;br /&gt;
==Permutations of Edges Only==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;EPLL&#039;&#039;&#039; is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).&lt;br /&gt;
&lt;br /&gt;
===H Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:h.gif]]&lt;br /&gt;
&lt;br /&gt;
* M2 U&#039; M2 U2&#039; M2 U&#039; M2&lt;br /&gt;
* R2&#039; r2 U&#039; L2 l2&#039; U2 R2&#039; r2 U&#039; L2 l2&#039;&lt;br /&gt;
* U&#039; M2 U2 M2 U M2 U2 M2&lt;br /&gt;
* F2 M2 F2 U&#039; F2 M2 F2 U&lt;br /&gt;
* x U2 M2 U2 B&#039; U2 M2 U2 B&lt;br /&gt;
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U&#039;&lt;br /&gt;
* L R U2 L&#039; R&#039; F&#039; B&#039; U2 F B&lt;br /&gt;
* R U2 R&#039; U&#039; R&#039; U&#039; R2 U&#039; R2 U2 R2 U2 R&#039; U&lt;br /&gt;
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2&lt;br /&gt;
* M2 U M2 U M2 U M2 U M2 U M2 U&#039;&lt;br /&gt;
* M2 U M2 U2 M2 U M2&lt;br /&gt;
* R&#039; D&#039; R D&#039; B D B&#039; D R&#039; D&#039; R U R&#039; D R D&#039; B D&#039; B&#039; D R&#039; D R U&lt;br /&gt;
&lt;br /&gt;
===U Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:u1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) F2 U&#039; L R&#039; F2 L&#039; R U&#039; F2&lt;br /&gt;
* M2 U M&#039; U2 M U M2&lt;br /&gt;
* (y2) M2 U M U2 M&#039; U M2&lt;br /&gt;
* R2 U&#039; R&#039; U&#039; R U R U R U&#039; R&lt;br /&gt;
* (y2) L2 U&#039; L&#039; U&#039; L U L U L U&#039; L&lt;br /&gt;
* B2 U&#039; M&#039; U2 M U&#039; B2&lt;br /&gt;
* (y2) R U&#039; R U R U R U&#039; R&#039; U&#039; R2&lt;br /&gt;
* M2 U M&#039; U2 M U2 M&#039; U2 M U M2&lt;br /&gt;
* (y) R2 U&#039; y r U2 r&#039; R U2 R&#039; y&#039; U&#039; R2&lt;br /&gt;
* R U R&#039; U&#039; L&#039; U&#039; L U2 R U&#039; R&#039; U&#039; L&#039; U L&lt;br /&gt;
* (y) R2&#039; U&#039; S&#039; U2 S U&#039; R2&#039;&lt;br /&gt;
&lt;br /&gt;
===U Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:u.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) F2 U R&#039; L F2 R L&#039; U F2&lt;br /&gt;
* M2 U&#039; M&#039; U2 M U&#039; M2&lt;br /&gt;
* (y2) M2 U&#039; M U2 M&#039; U&#039; M2&lt;br /&gt;
* R&#039; U R&#039; U&#039; R&#039; U&#039; R&#039; U R U R2&lt;br /&gt;
* (y2) R2&#039; U R U R&#039; U&#039; R&#039; U&#039; R&#039; U R&#039;&lt;br /&gt;
* B2 U M&#039; U2 M U B2&lt;br /&gt;
* L2 U L U L&#039; U&#039; L&#039; U&#039; L&#039; U L&#039;&lt;br /&gt;
* R U&#039; R U R U R&#039; U&#039; R&#039; U&#039; R&#039; U2 R&#039;&lt;br /&gt;
* M2 U&#039; M&#039; U2 M U2 M&#039; U2 M U&#039; M2&lt;br /&gt;
* L&#039; U&#039; L U R U R&#039; U2 L&#039; U L U R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===Z Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:z.gif]]&lt;br /&gt;
* y x&#039; R U&#039; R&#039; U D R&#039; D U&#039; R&#039; U R D2&#039; F x&lt;br /&gt;
* y M2 U M2 U M&#039; U2 M2 U2 M&#039; U2&lt;br /&gt;
* y M2&#039; U&#039; M&#039; U2&#039; M2&#039; U2&#039; M&#039; U M2&#039;&lt;br /&gt;
* y U R&#039; U&#039; R U&#039; R U R U&#039; R&#039; U R U R2 U&#039; R&#039; U&lt;br /&gt;
* R2 U R2 U&#039; R2 F2 R2 U&#039; F2 U R2 F2&lt;br /&gt;
* y&#039; M2 U2 M&#039; U&#039; M2 U&#039; M2 U&#039; M&#039; U&lt;br /&gt;
* R&#039; U L&#039; U2 D2 R U&#039; L R&#039; U L&#039; U2 D2 R U&#039; L&lt;br /&gt;
* R&#039; U L&#039; E2 L U&#039; R L&#039; U R&#039; E2 R U&#039; L&#039;&lt;br /&gt;
* y R2 U&#039; R2 U R2 x&#039; U2 R2 F U2 F&#039; R2 U2&lt;br /&gt;
* M&#039; U M2 U M2 U M&#039; U2 M2 U&#039;&lt;br /&gt;
* U&#039; l&#039; U R U&#039; D&#039; R U D&#039; R U&#039; R&#039; D2&lt;br /&gt;
* d R U R2 U&#039; R&#039; F R U R U&#039; R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* M2 U&#039; M E2 M E2 U M2&lt;br /&gt;
* F2 M2 F2 M2 U M2 U M2 U2&lt;br /&gt;
* U2&#039; R U R U&#039; R U2 R U&#039; R&#039; U&#039; R U R&#039; U&#039; R&#039; U R U&#039; R U&#039; R U R U&#039; R&#039; U&#039; R&#039; U&#039; R U&#039; R&lt;br /&gt;
* y R U R&#039; U R&#039; U&#039; R&#039; U R U&#039; R&#039; U&#039; R2 U R U2&lt;br /&gt;
* y&#039; R U R B&#039; R&#039; B U&#039; R&#039; f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* (x2 y)  M2 U S2 U&#039; S&#039; M2 S&lt;br /&gt;
* M2 U (F2 M2 F2 M2) U&#039; M2&lt;br /&gt;
&lt;br /&gt;
==Permutations of Corners Only==&lt;br /&gt;
This is also known as &#039;&#039;&#039;CPLL&#039;&#039;&#039; (Corner Permute Last Layer).&lt;br /&gt;
&lt;br /&gt;
===A Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:a1.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R&#039; B2 R F&#039; R&#039; B2 R2&lt;br /&gt;
* (x&#039;) R&#039; D R&#039; U2 R D&#039; R&#039; U2 R2&lt;br /&gt;
* (x) R&#039; U R&#039; D2 R U&#039; R&#039; D2 R2&lt;br /&gt;
* (y&#039; x) L2 D2 L&#039; U&#039; L D2 L&#039; U L&#039; &lt;br /&gt;
* (y2) (L&#039; B L&#039;) (F2 L B&#039; L&#039;) (F2 L2)&lt;br /&gt;
* (y2 z) F2 R U2 R&#039; U2 F2 L&#039; U2 L U2&lt;br /&gt;
* (y z&#039;) U2 R U2 R&#039; F2 U2 L&#039; U2 L F2&lt;br /&gt;
* R&#039; U2 R2 U&#039; L&#039; U R&#039; U&#039; L U R&#039; U2 R&lt;br /&gt;
* (y) R2 F2 (R&#039; B&#039; R) F2 (R&#039; B R&#039;)&lt;br /&gt;
&lt;br /&gt;
===A Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:a.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R F2 R&#039; B R F2 R2 &lt;br /&gt;
* (x) R D&#039; R U2 R&#039; D R U2 R2&lt;br /&gt;
* (x&#039;) R U&#039; R D2 R&#039; U R D2 R2 &lt;br /&gt;
* (y&#039; x) R2 D2 R U R&#039; D2 R U&#039; R&lt;br /&gt;
* (y2 x) L U&#039; L D2 L&#039; U L D2 L2 &lt;br /&gt;
* (y z) U2 L&#039; U2 L F2 U2 R U2 R&#039; F2&lt;br /&gt;
* (z&#039;) F2 L&#039; U2 L U2 F2 R U2 R&#039; U2&lt;br /&gt;
* (y&#039;) R&#039; U2 R U&#039; L&#039; U R U&#039; L U R2 U2 R&lt;br /&gt;
* (z) (U R&#039; D r2 U&#039;) (R U r2&#039; U&#039;) (D&#039;)&lt;br /&gt;
* (z&#039; y2) (U&#039; r x) (l2&#039; U L U&#039;) (R&#039; U) (L&#039; U&#039; L&#039;) (R&#039; U)&lt;br /&gt;
&lt;br /&gt;
===E Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:e.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 U R&#039; U&#039; y (R U R&#039; U&#039;)*2 R U R&#039; y&#039; R U&#039; R2&#039;&lt;br /&gt;
* x U R&#039; U&#039; L U R U&#039; L&#039; U R U&#039; L U R&#039; U&#039; L&#039;&lt;br /&gt;
* y x&#039; R U&#039; R&#039; D R U R&#039; D2 L&#039; U L D L&#039; U&#039; L&lt;br /&gt;
* x U R&#039; U&#039; L U R U&#039; r2&#039; U&#039; R U L U&#039; R&#039; U&lt;br /&gt;
* y x R U&#039; R&#039; D R U R&#039; u2 R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; l U R&#039; U&#039; L U R U&#039; l&#039; U&lt;br /&gt;
* (r&#039; R&#039; U&#039;) (L D&#039; L&#039; U L) (R U&#039; R&#039; D R) U&lt;br /&gt;
* r2 U r2 D x&#039; (R U&#039; R&#039; U)3 x D&#039; r2 U&#039; r2&lt;br /&gt;
* x&#039; U&#039; R U L&#039; U&#039; R&#039; U r2 U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* y&#039; z&#039; R&#039; F R2 U R&#039; B&#039; R U&#039; R2 F&#039; R z R B R&#039;&lt;br /&gt;
* R&#039; U L&#039; D2 L U&#039; R L&#039; U R&#039; D2 R U&#039; L&lt;br /&gt;
* (R B L B&#039; R&#039;) y (R L) y (L B&#039; R&#039; B L&#039;) y&#039; (R&#039; L&#039;)&lt;br /&gt;
* l&#039; U&#039; (r&#039; F R F&#039;) (R U R&#039; U&#039;) L (U R U&#039; R&#039;) F&lt;br /&gt;
* (F&#039; R U R&#039; U&#039;) L&#039; U R U&#039; (l&#039; U R&#039; U&#039; r) F R&lt;br /&gt;
&lt;br /&gt;
==Permutations of Edges and Corners==&lt;br /&gt;
&lt;br /&gt;
===F Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:f.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R U&#039; R&#039; U R2 y R U R&#039; U&#039; x U&#039; R&#039; U R U2&lt;br /&gt;
* yz R U R&#039; U&#039; R U2 z&#039; y&#039; R U R&#039; U&#039; y x L&#039; U&#039; L U L2 x&#039;&lt;br /&gt;
* R&#039; U R U&#039; R2 F&#039; U&#039; F U x R U R&#039; U&#039; R2 B&#039;&lt;br /&gt;
* R&#039; U R U&#039; R2&#039; F&#039; U&#039; F U R U&#039; x&#039; R2 U&#039; R&#039; U&lt;br /&gt;
* R&#039; U R U&#039; R2 y&#039; R&#039; U&#039; R U y x R U R&#039; U&#039; R2 x&#039;&lt;br /&gt;
* y R U R&#039; U R U2 R2 U&#039; R U&#039; R&#039; U2 R U r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* R&#039; U2 R&#039; d&#039; R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R U&#039; F&lt;br /&gt;
* (y) U&#039; R&#039; U R U&#039; R&#039;2 F&#039; U&#039; F U R x U R&#039; U&#039; R2&lt;br /&gt;
* (y2) M U2 r&#039; U l&#039; U2 r U&#039; R2 r U2 R2&lt;br /&gt;
&lt;br /&gt;
===G Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:g3.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y) R2&#039; u R&#039; U R&#039; U&#039; R u&#039; R2 y&#039; R&#039; U R&lt;br /&gt;
* (y) R2 D B&#039; U B&#039; U&#039; B D&#039; R2 F&#039; U F&lt;br /&gt;
* (y2) F2&#039; D R&#039; U R&#039; U&#039; R D&#039; F2 L&#039; U L&lt;br /&gt;
* R L U2 R&#039; L&#039; y&#039; R&#039; U L&#039; U2 R U&#039; L&lt;br /&gt;
&lt;br /&gt;
===G Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:g2.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R y R2 u R&#039; U R U&#039; R u&#039; R2&lt;br /&gt;
* R&#039; U&#039; R B2 D L&#039; U L U&#039; L D&#039; B2&lt;br /&gt;
* (y2) L&#039; U&#039; L y&#039; R2&#039; u R&#039; U R U&#039; R u&#039; R2 &lt;br /&gt;
* (y&#039;) R&#039; U L&#039; U2 R U&#039; L y R L U2 L&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===G Permutation : c===&lt;br /&gt;
&lt;br /&gt;
[[Image:g1.gif]]&lt;br /&gt;
* (y) R2&#039; u&#039; R U&#039; R U R&#039; u R2 y R U&#039; R&#039;&lt;br /&gt;
* (y) R2&#039; u&#039; R U&#039; R U R&#039; u R2 B U&#039; B&#039;&lt;br /&gt;
* (y) R2&#039; D&#039; F U&#039; F U F&#039; D R2 B U&#039; B&#039;&lt;br /&gt;
* (y2) F2&#039; D&#039; L U&#039; L U L&#039; D F2 R U&#039; R&#039;&lt;br /&gt;
* L&#039; R&#039; U2 L R (y) L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
* (y&#039;) l&#039; U&#039; U&#039; L&#039; U l F&#039; U&#039; L U F R&#039; F R&lt;br /&gt;
&lt;br /&gt;
===G Permutation : d===&lt;br /&gt;
&lt;br /&gt;
[[Image:g.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R U R&#039; y&#039; R2 u&#039; R U&#039; R&#039; U R&#039; u R2&lt;br /&gt;
* (y2) R U R&#039; F2 D&#039; L U&#039; L&#039; U L&#039; D F2&lt;br /&gt;
* (y2) l2 U&#039; L2 U&#039; F2 L&#039; U&#039; R U2 L&#039; U l x&lt;br /&gt;
* (y) L U&#039; R U2 L&#039; U R&#039; y R&#039; L&#039; U2 R L&lt;br /&gt;
* (y) L U&#039; R U2 L&#039; U R&#039; y&#039; L&#039; R&#039; U2 L R&lt;br /&gt;
* (y&#039;) R&#039; F&#039; R F&#039; U&#039; L&#039; U F R&#039; F&#039; L F2 R&lt;br /&gt;
&lt;br /&gt;
===J Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:j1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R&#039; U2 R U R&#039; z&#039; R2&#039; U R&#039; D R U&#039;&lt;br /&gt;
* (y2) L&#039; R&#039; U2 R U R&#039; U2 L U&#039; R U&lt;br /&gt;
* (y2) F2 L&#039; U&#039; r U2 l&#039; U R&#039; U&#039; R2&lt;br /&gt;
* (y2) R&#039; U2 R U R&#039; U2&#039; L U&#039; R U L&#039;&lt;br /&gt;
* (y2) x U2 r&#039; U&#039; r U2 l&#039; U R&#039; U&#039; R2&lt;br /&gt;
* (y) R&#039; U L&#039; U2 R U&#039; R&#039; U2 L R U&#039;&lt;br /&gt;
* B2&#039; R2 U&#039; R2&#039; u R2 D&#039; R2&#039; U R2&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U2 L U&#039; L&#039; U2&#039; L&lt;br /&gt;
* R L d2 R&#039; U&#039; R d2 R&#039; U L&#039;&lt;br /&gt;
* (L&#039; U R&#039; U2 L U&#039; R) U (L&#039; U R&#039; U2 L U&#039; R)&lt;br /&gt;
* L&#039; U R&#039; U2 L U&#039; R U L&#039; U R&#039; U2 L U&#039; R&lt;br /&gt;
* L&#039; U2 L U L&#039; U2 R U&#039; L U R&#039;&lt;br /&gt;
* L&#039; U&#039; L F L&#039; U&#039; L U L F&#039; L2 U L U&lt;br /&gt;
&lt;br /&gt;
===J Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:j.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R&#039; U&#039; R U2 L&#039; U R&#039; U&#039; L&lt;br /&gt;
* R U2 R&#039; U&#039; R d2&#039; R&#039; U L&#039; U&#039; R&lt;br /&gt;
* y2 R L U2 L&#039; U&#039; L U2 R&#039; U L&#039; U&#039;&lt;br /&gt;
* (R U R&#039; F&#039;) (R U R&#039; U&#039; R&#039;) F (R2 U&#039; R&#039; U&#039;)&lt;br /&gt;
* y&#039; L&#039; U&#039; R U2 L&#039; U L U2 L&#039; R U&lt;br /&gt;
* y2 F2&#039; R U R&#039; y r2 y&#039; R U&#039; R U R2&#039;&lt;br /&gt;
* L&#039; U R U&#039; L U2 R&#039; U R U2&#039; R&#039;&lt;br /&gt;
* y2 r2 U&#039; L&#039; U r&#039; U2 R B&#039; R&#039; U2&lt;br /&gt;
* (R U&#039; L U2 R&#039; U L) U&#039; (R U&#039; L U2 R&#039; U L)&lt;br /&gt;
* L&#039; U R&#039; U2 L U&#039; L&#039; U2 R L&lt;br /&gt;
&lt;br /&gt;
===N Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:n1.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U R2 B2 U R&#039; B2&#039; R U&#039; B2 R2&#039; U&#039; R&lt;br /&gt;
* z D R&#039; U R2 D&#039; R (U&#039; D) R&#039; U R2 D&#039; R U&#039; R&lt;br /&gt;
* y&#039; L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
* R U&#039; R&#039; U l U F U&#039; R&#039; F&#039; R U&#039; R U l&#039; U R&#039;&lt;br /&gt;
* L U&#039; L&#039; U L F U F&#039; L&#039; U&#039; L F&#039; L F L&#039; U L&#039;&lt;br /&gt;
* R&#039; U L&#039; U2 R U&#039; L R&#039; U L&#039; U2 R U&#039; L&lt;br /&gt;
* R U&#039; L d2 L&#039; U L R&#039; U&#039; R U2 r&#039; F l&#039; U&#039; y2&lt;br /&gt;
* L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
* y z R&#039; U R&#039; D R2&#039; U&#039; R U D&#039; R&#039; D R2&#039; U&#039; R D&#039;&lt;br /&gt;
* R U&#039; L d2 L&#039; U L R&#039; U&#039; R U2 L&#039; U R U&#039;&lt;br /&gt;
* F&#039; R U R&#039; U&#039; R&#039; F R2 F U&#039; R&#039; U&#039; R U F&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===N Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:n.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R2&#039; F2 U&#039; R F2&#039; R&#039; U F2 R2 U R&#039;&lt;br /&gt;
* z U&#039; R D&#039; R2&#039; U R&#039; (U&#039; D) R D&#039; R2 U R&#039; D &lt;br /&gt;
* z (D&#039; R U&#039; R2&#039; D R3 U) * 2&lt;br /&gt;
* L&#039; U R&#039; U2&#039; L U&#039; L&#039; R U R&#039; U2&#039; L U&#039; R U&#039;&lt;br /&gt;
* R&#039; U R U&#039; R&#039; F&#039; U&#039; F R U R&#039; F R&#039; F&#039; R U&#039; R&lt;br /&gt;
* z U&#039; R D&#039; R2 U R&#039; U&#039; z&#039; R U R&#039; z R2 U R&#039; z&#039; R U&#039;&lt;br /&gt;
* L&#039; U R&#039; z R2 U R&#039; U z&#039; R U R&#039; z R2 U R&#039; z&#039; R U&#039;&lt;br /&gt;
* L&#039; U L U&#039; r&#039; U&#039; F&#039; U L F L&#039; U L&#039; U&#039; r U&#039; L&lt;br /&gt;
* L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
* R&#039; U R U&#039; R&#039; F&#039; U&#039; F R U R&#039; U&#039; R&#039; d R U R&#039;&lt;br /&gt;
&lt;br /&gt;
===R Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:r1.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 z U R2 U&#039; R2 U F&#039; U&#039; R&#039; U R U F U2 R&lt;br /&gt;
* y&#039; R2 B&#039; R&#039; U&#039; R&#039; U R B R&#039; U2 R U2 R&#039;&lt;br /&gt;
* R U2 R&#039; U2 R B&#039; R&#039; U&#039; R U R B R2&#039; U&lt;br /&gt;
* R U2 R&#039; U2 R B&#039; R&#039; U&#039; R U l U R2 F&lt;br /&gt;
* U2 R&#039; U&#039; R U2 R U2 L&#039; R2 U R U&#039; R L U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; F&#039; R U2 R&#039; U2 R&#039; F R U R U2 R&#039; U&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R&#039; F&#039; R U2 R U2 R&#039; F R U&#039; R&#039; U&lt;br /&gt;
* R U2 R D R&#039; U R D&#039; R&#039; U&#039; R&#039; U R U R&#039; U&lt;br /&gt;
* y2 L U2 L&#039; U2 L F&#039; L&#039; U&#039; L U L F L2 U&lt;br /&gt;
* R l U&#039; l&#039; U&#039; R&#039; U l U l&#039; U2 R U2&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===R Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:r.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U2 R U2 R&#039; F R U R&#039; U&#039; R&#039; F&#039; R2&#039; U&#039;&lt;br /&gt;
* y R2 B2 U&#039; R&#039; U&#039; R U R U B2 R U&#039; R U&lt;br /&gt;
* R&#039; U2 R U&#039; y&#039; R&#039; F R B&#039; R&#039; F&#039; R z x&#039; R&#039; U R&#039;&lt;br /&gt;
* y2 R&#039; U2 l R U&#039; R&#039; U l&#039; U2&#039; R F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* R&#039; U2 R&#039; D&#039; R U&#039; R&#039; D R U R U&#039; R&#039; U&#039; R U&#039;&lt;br /&gt;
* (y x) R2 U l U R U&#039; l&#039; U&#039; l U2 R&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
===T Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:t.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 L&#039; U&#039; L U L F&#039; L2 U L U L&#039; U&#039; L F&lt;br /&gt;
* F R U&#039; R&#039; U R U R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* L2 U&#039; L2 D F2 R2 U R2 D&#039; F2&lt;br /&gt;
* R2 U&#039; R2 D B2 L2 U L2 D&#039; B2&lt;br /&gt;
* R2&#039; u&#039; R2 U R2&#039; y R2 u R2&#039; U&#039; R2&lt;br /&gt;
* R2 U R2&#039; U&#039; R2 U&#039; D R2&#039; U&#039; R2 U R2&#039; D&#039;&lt;br /&gt;
* (z x2) U2 r&#039; U2 r U2 x U2 r U2 r&#039; U2&lt;br /&gt;
&lt;br /&gt;
===V Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:V.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U R&#039; U&#039; y x R&#039; U&#039; R2 x&#039; U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; B&#039; D B&#039; D&#039; B2 R&#039; B&#039; R B R&lt;br /&gt;
* R&#039; U R&#039; U&#039; x2 y&#039; R&#039; U R&#039; U&#039; l R U&#039; R&#039; U R U&lt;br /&gt;
* y L&#039; U R U&#039; L U L&#039; U R&#039; U&#039; L U2 R U2 R&#039;&lt;br /&gt;
* y2 R U&#039; L&#039; U R&#039; U&#039; R U&#039; L U R&#039; U2 L&#039; U2 L&lt;br /&gt;
* y&#039; R&#039; U L U&#039; R U R&#039; U L&#039; U&#039; R U2 L U2 L&#039;&lt;br /&gt;
* L U&#039; R&#039; U L&#039; U&#039; L U&#039; R U L&#039; U2 R&#039; U2 R&lt;br /&gt;
* R&#039; U R&#039; d&#039; R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; y z&#039; U&#039; R U&#039; R&#039; U2 y&#039; R&#039; U&#039; R U R&lt;br /&gt;
* R&#039; U R&#039; U&#039; y R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; y R&#039; D R&#039; D&#039; R2 F&#039; R&#039; F R F&lt;br /&gt;
* R&#039; U2 R U2 L U&#039; R&#039; U L&#039; U L U&#039; R U L&#039;&lt;br /&gt;
* R&#039; U2 R U2 L U&#039; R&#039; U r&#039; F r U&#039; R U r&#039;&lt;br /&gt;
&lt;br /&gt;
===Y Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:Y.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U&#039; R&#039; U&#039; R U R&#039; F&#039; R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R2 u R2&#039; U R2 D&#039; R&#039; U&#039; R F2&#039; R&#039; U R&lt;br /&gt;
* F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R&#039; U&#039; R F2 R&#039; U R d R2 U&#039; R2&#039; U&#039; R2&lt;br /&gt;
* R2 U&#039; R&#039; U R U&#039; z&#039; y&#039; L&#039; U&#039; R U&#039; R&#039; U&#039; L U y z&lt;br /&gt;
* y F&#039; L&#039; U L U L&#039; U&#039; L F L&#039; U&#039; L U L&#039; F&#039; L F&lt;br /&gt;
* F R U&#039; R&#039; F D R&#039; y x R&#039; U&#039; R z R2 y L&#039; d2&lt;br /&gt;
* z&#039; U2 L&#039; U&#039; L U L&#039; y&#039; L&#039; U&#039; R U&#039; R&#039; U&#039; L U&lt;br /&gt;
* F R&#039; F&#039; R U R U&#039; R2 U&#039; R U l U&#039; R&#039; U&lt;br /&gt;
* z U2 R U R&#039; U&#039; R y R U L&#039; U L U R&#039; U&#039;&lt;br /&gt;
* F R U&#039; R&#039; U&#039; R d R U R&#039; B&#039; R U&#039; R2&lt;br /&gt;
* R&#039; F R F&#039; y&#039; U&#039; R&#039; U R2 U R&#039; U&#039; R&#039; F R F&#039; U&#039;&lt;br /&gt;
* y2 z U2 R&#039; U2 R&#039; U2 R B R B &#039; U2 B R&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;{{PLL}}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[2-Look PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=5813</id>
		<title>PLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=5813"/>
		<updated>2009-10-29T21:06:15Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* R Permutation : a */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
&#039;&#039;&#039;PLL&#039;&#039;&#039; is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or &#039;T perm&#039;) swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].&lt;br /&gt;
{{PLL}}&lt;br /&gt;
&lt;br /&gt;
Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.&lt;br /&gt;
&lt;br /&gt;
==Permutations of Edges Only==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;EPLL&#039;&#039;&#039; is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).&lt;br /&gt;
&lt;br /&gt;
===H Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:h.gif]]&lt;br /&gt;
&lt;br /&gt;
* M2 U&#039; M2 U2&#039; M2 U&#039; M2&lt;br /&gt;
* R2&#039; r2 U&#039; L2 l2&#039; U2 R2&#039; r2 U&#039; L2 l2&#039;&lt;br /&gt;
* U&#039; M2 U2 M2 U M2 U2 M2&lt;br /&gt;
* F2 M2 F2 U&#039; F2 M2 F2 U&lt;br /&gt;
* x U2 M2 U2 B&#039; U2 M2 U2 B&lt;br /&gt;
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U&#039;&lt;br /&gt;
* L R U2 L&#039; R&#039; F&#039; B&#039; U2 F B&lt;br /&gt;
* R U2 R&#039; U&#039; R&#039; U&#039; R2 U&#039; R2 U2 R2 U2 R&#039; U&lt;br /&gt;
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2&lt;br /&gt;
* M2 U M2 U M2 U M2 U M2 U M2 U&#039;&lt;br /&gt;
* M2 U M2 U2 M2 U M2&lt;br /&gt;
* R&#039; D&#039; R D&#039; B D B&#039; D R&#039; D&#039; R U R&#039; D R D&#039; B D&#039; B&#039; D R&#039; D R U&lt;br /&gt;
&lt;br /&gt;
===U Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:u1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) F2 U&#039; L R&#039; F2 L&#039; R U&#039; F2&lt;br /&gt;
* M2 U M&#039; U2 M U M2&lt;br /&gt;
* (y2) M2 U M U2 M&#039; U M2&lt;br /&gt;
* R2 U&#039; R&#039; U&#039; R U R U R U&#039; R&lt;br /&gt;
* (y2) L2 U&#039; L&#039; U&#039; L U L U L U&#039; L&lt;br /&gt;
* B2 U&#039; M&#039; U2 M U&#039; B2&lt;br /&gt;
* (y2) R U&#039; R U R U R U&#039; R&#039; U&#039; R2&lt;br /&gt;
* M2 U M&#039; U2 M U2 M&#039; U2 M U M2&lt;br /&gt;
* (y) R2 U&#039; y r U2 r&#039; R U2 R&#039; y&#039; U&#039; R2&lt;br /&gt;
* R U R&#039; U&#039; L&#039; U&#039; L U2 R U&#039; R&#039; U&#039; L&#039; U L&lt;br /&gt;
* (y) R2&#039; U&#039; S&#039; U2 S U&#039; R2&#039;&lt;br /&gt;
&lt;br /&gt;
===U Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:u.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) F2 U R&#039; L F2 R L&#039; U F2&lt;br /&gt;
* M2 U&#039; M&#039; U2 M U&#039; M2&lt;br /&gt;
* (y2) M2 U&#039; M U2 M&#039; U&#039; M2&lt;br /&gt;
* R&#039; U R&#039; U&#039; R&#039; U&#039; R&#039; U R U R2&lt;br /&gt;
* (y2) R2&#039; U R U R&#039; U&#039; R&#039; U&#039; R&#039; U R&#039;&lt;br /&gt;
* B2 U M&#039; U2 M U B2&lt;br /&gt;
* L2 U L U L&#039; U&#039; L&#039; U&#039; L&#039; U L&#039;&lt;br /&gt;
* R U&#039; R U R U R&#039; U&#039; R&#039; U&#039; R&#039; U2 R&#039;&lt;br /&gt;
* M2 U&#039; M&#039; U2 M U2 M&#039; U2 M U&#039; M2&lt;br /&gt;
* L&#039; U&#039; L U R U R&#039; U2 L&#039; U L U R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===Z Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:z.gif]]&lt;br /&gt;
* y x&#039; R U&#039; R&#039; U D R&#039; D U&#039; R&#039; U R D2&#039; F x&lt;br /&gt;
* y M2 U M2 U M&#039; U2 M2 U2 M&#039; U2&lt;br /&gt;
* y M2&#039; U&#039; M&#039; U2&#039; M2&#039; U2&#039; M&#039; U M2&#039;&lt;br /&gt;
* y U R&#039; U&#039; R U&#039; R U R U&#039; R&#039; U R U R2 U&#039; R&#039; U&lt;br /&gt;
* R2 U R2 U&#039; R2 F2 R2 U&#039; F2 U R2 F2&lt;br /&gt;
* y&#039; M2 U2 M&#039; U&#039; M2 U&#039; M2 U&#039; M&#039; U&lt;br /&gt;
* R&#039; U L&#039; U2 D2 R U&#039; L R&#039; U L&#039; U2 D2 R U&#039; L&lt;br /&gt;
* R&#039; U L&#039; E2 L U&#039; R L&#039; U R&#039; E2 R U&#039; L&#039;&lt;br /&gt;
* y R2 U&#039; R2 U R2 x&#039; U2 R2 F U2 F&#039; R2 U2&lt;br /&gt;
* M&#039; U M2 U M2 U M&#039; U2 M2 U&#039;&lt;br /&gt;
* U&#039; l&#039; U R U&#039; D&#039; R U D&#039; R U&#039; R&#039; D2&lt;br /&gt;
* d R U R2 U&#039; R&#039; F R U R U&#039; R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* M2 U&#039; M E2 M E2 U M2&lt;br /&gt;
* F2 M2 F2 M2 U M2 U M2 U2&lt;br /&gt;
* U2&#039; R U R U&#039; R U2 R U&#039; R&#039; U&#039; R U R&#039; U&#039; R&#039; U R U&#039; R U&#039; R U R U&#039; R&#039; U&#039; R&#039; U&#039; R U&#039; R&lt;br /&gt;
* y R U R&#039; U R&#039; U&#039; R&#039; U R U&#039; R&#039; U&#039; R2 U R U2&lt;br /&gt;
* y&#039; R U R B&#039; R&#039; B U&#039; R&#039; f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* (x2 y)  M2 U S2 U&#039; S&#039; M2 S&lt;br /&gt;
* M2 U (F2 M2 F2 M2) U&#039; M2&lt;br /&gt;
&lt;br /&gt;
==Permutations of Corners Only==&lt;br /&gt;
This is also known as &#039;&#039;&#039;CPLL&#039;&#039;&#039; (Corner Permute Last Layer).&lt;br /&gt;
&lt;br /&gt;
===A Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:a1.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R&#039; B2 R F&#039; R&#039; B2 R2&lt;br /&gt;
* (x&#039;) R&#039; D R&#039; U2 R D&#039; R&#039; U2 R2&lt;br /&gt;
* (x) R&#039; U R&#039; D2 R U&#039; R&#039; D2 R2&lt;br /&gt;
* (y&#039; x) L2 D2 L&#039; U&#039; L D2 L&#039; U L&#039; &lt;br /&gt;
* (y2) (L&#039; B L&#039;) (F2 L B&#039; L&#039;) (F2 L2)&lt;br /&gt;
* (y2 z) F2 R U2 R&#039; U2 F2 L&#039; U2 L U2&lt;br /&gt;
* (y z&#039;) U2 R U2 R&#039; F2 U2 L&#039; U2 L F2&lt;br /&gt;
* R&#039; U2 R2 U&#039; L&#039; U R&#039; U&#039; L U R&#039; U2 R&lt;br /&gt;
* (y) R2 F2 (R&#039; B&#039; R) F2 (R&#039; B R&#039;)&lt;br /&gt;
&lt;br /&gt;
===A Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:a.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R F2 R&#039; B R F2 R2 &lt;br /&gt;
* (x) R D&#039; R U2 R&#039; D R U2 R2&lt;br /&gt;
* (x&#039;) R U&#039; R D2 R&#039; U R D2 R2 &lt;br /&gt;
* (y&#039; x) R2 D2 R U R&#039; D2 R U&#039; R&lt;br /&gt;
* (y2 x) L U&#039; L D2 L&#039; U L D2 L2 &lt;br /&gt;
* (y z) U2 L&#039; U2 L F2 U2 R U2 R&#039; F2&lt;br /&gt;
* (z&#039;) F2 L&#039; U2 L U2 F2 R U2 R&#039; U2&lt;br /&gt;
* (y&#039;) R&#039; U2 R U&#039; L&#039; U R U&#039; L U R2 U2 R&lt;br /&gt;
* (z) (U R&#039; D r2 U&#039;) (R U r2&#039; U&#039;) (D&#039;)&lt;br /&gt;
* (z&#039; y2) (U&#039; r x) (l2&#039; U L U&#039;) (R&#039; U) (L&#039; U&#039; L&#039;) (R&#039; U)&lt;br /&gt;
&lt;br /&gt;
===E Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:e.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 U R&#039; U&#039; y (R U R&#039; U&#039;)*2 R U R&#039; y&#039; R U&#039; R2&#039;&lt;br /&gt;
* x U R&#039; U&#039; L U R U&#039; L&#039; U R U&#039; L U R&#039; U&#039; L&#039;&lt;br /&gt;
* y x&#039; R U&#039; R&#039; D R U R&#039; D2 L&#039; U L D L&#039; U&#039; L&lt;br /&gt;
* x U R&#039; U&#039; L U R U&#039; r2&#039; U&#039; R U L U&#039; R&#039; U&lt;br /&gt;
* y x R U&#039; R&#039; D R U R&#039; u2 R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; l U R&#039; U&#039; L U R U&#039; l&#039; U&lt;br /&gt;
* (r&#039; R&#039; U&#039;) (L D&#039; L&#039; U L) (R U&#039; R&#039; D R) U&lt;br /&gt;
* r2 U r2 D x&#039; (R U&#039; R&#039; U)3 x D&#039; r2 U&#039; r2&lt;br /&gt;
* x&#039; U&#039; R U L&#039; U&#039; R&#039; U r2 U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* y&#039; z&#039; R&#039; F R2 U R&#039; B&#039; R U&#039; R2 F&#039; R z R B R&#039;&lt;br /&gt;
* R&#039; U L&#039; D2 L U&#039; R L&#039; U R&#039; D2 R U&#039; L&lt;br /&gt;
* (R B L B&#039; R&#039;) y (R L) y (L B&#039; R&#039; B L&#039;) y&#039; (R&#039; L&#039;)&lt;br /&gt;
* l&#039; U&#039; (r&#039; F R F&#039;) (R U R&#039; U&#039;) L (U R U&#039; R&#039;) F&lt;br /&gt;
* (F&#039; R U R&#039; U&#039;) L&#039; U R U&#039; (l&#039; U R&#039; U&#039; r) F R&lt;br /&gt;
&lt;br /&gt;
==Permutations of Edges and Corners==&lt;br /&gt;
&lt;br /&gt;
===F Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:f.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R U&#039; R&#039; U R2 y R U R&#039; U&#039; x U&#039; R&#039; U R U2&lt;br /&gt;
* yz R U R&#039; U&#039; R U2 z&#039; y&#039; R U R&#039; U&#039; y x L&#039; U&#039; L U L2 x&#039;&lt;br /&gt;
* R&#039; U R U&#039; R2 F&#039; U&#039; F U x R U R&#039; U&#039; R2 B&#039;&lt;br /&gt;
* R&#039; U R U&#039; R2&#039; F&#039; U&#039; F U R U&#039; x&#039; R2 U&#039; R&#039; U&lt;br /&gt;
* R&#039; U R U&#039; R2 y&#039; R&#039; U&#039; R U y x R U R&#039; U&#039; R2 x&#039;&lt;br /&gt;
* y R U R&#039; U R U2 R2 U&#039; R U&#039; R&#039; U2 R U r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* R&#039; U2 R&#039; d&#039; R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R U&#039; F&lt;br /&gt;
* (y) U&#039; R&#039; U R U&#039; R&#039;2 F&#039; U&#039; F U R x U R&#039; U&#039; R2&lt;br /&gt;
* (y2) M U2 r&#039; U l&#039; U2 r U&#039; R2 r U2 R2&lt;br /&gt;
&lt;br /&gt;
===G Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:g3.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y) R2&#039; u R&#039; U R&#039; U&#039; R u&#039; R2 y&#039; R&#039; U R&lt;br /&gt;
* (y) R2 D B&#039; U B&#039; U&#039; B D&#039; R2 F&#039; U F&lt;br /&gt;
* (y2) F2&#039; D R&#039; U R&#039; U&#039; R D&#039; F2 L&#039; U L&lt;br /&gt;
* R L U2 R&#039; L&#039; y&#039; R&#039; U L&#039; U2 R U&#039; L&lt;br /&gt;
&lt;br /&gt;
===G Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:g2.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R y R2 u R&#039; U R U&#039; R u&#039; R2&lt;br /&gt;
* R&#039; U&#039; R B2 D L&#039; U L U&#039; L D&#039; B2&lt;br /&gt;
* (y2) L&#039; U&#039; L y&#039; R2&#039; u R&#039; U R U&#039; R u&#039; R2 &lt;br /&gt;
* (y&#039;) R&#039; U L&#039; U2 R U&#039; L y R L U2 L&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===G Permutation : c===&lt;br /&gt;
&lt;br /&gt;
[[Image:g1.gif]]&lt;br /&gt;
* (y) R2&#039; u&#039; R U&#039; R U R&#039; u R2 y R U&#039; R&#039;&lt;br /&gt;
* (y) R2&#039; u&#039; R U&#039; R U R&#039; u R2 B U&#039; B&#039;&lt;br /&gt;
* (y) R2&#039; D&#039; F U&#039; F U F&#039; D R2 B U&#039; B&#039;&lt;br /&gt;
* (y2) F2&#039; D&#039; L U&#039; L U L&#039; D F2 R U&#039; R&#039;&lt;br /&gt;
* L&#039; R&#039; U2 L R (y) L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
* (y&#039;) l&#039; U&#039; U&#039; L&#039; U l F&#039; U&#039; L U F R&#039; F R&lt;br /&gt;
&lt;br /&gt;
===G Permutation : d===&lt;br /&gt;
&lt;br /&gt;
[[Image:g.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R U R&#039; y&#039; R2 u&#039; R U&#039; R&#039; U R&#039; u R2&lt;br /&gt;
* (y2) R U R&#039; F2 D&#039; L U&#039; L&#039; U L&#039; D F2&lt;br /&gt;
* (y2) l2 U&#039; L2 U&#039; F2 L&#039; U&#039; R U2 L&#039; U l x&lt;br /&gt;
* (y) L U&#039; R U2 L&#039; U R&#039; y R&#039; L&#039; U2 R L&lt;br /&gt;
* (y) L U&#039; R U2 L&#039; U R&#039; y&#039; L&#039; R&#039; U2 L R&lt;br /&gt;
* (y&#039;) R&#039; F&#039; R F&#039; U&#039; L&#039; U F R&#039; F&#039; L F2 R&lt;br /&gt;
&lt;br /&gt;
===J Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:j1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (y2) R&#039; U2 R U R&#039; z&#039; R2&#039; U R&#039; D R U&#039;&lt;br /&gt;
* (y2) L&#039; R&#039; U2 R U R&#039; U2 L U&#039; R U&lt;br /&gt;
* (y2) F2 L&#039; U&#039; r U2 l&#039; U R&#039; U&#039; R2&lt;br /&gt;
* (y2) R&#039; U2 R U R&#039; U2&#039; L U&#039; R U L&#039;&lt;br /&gt;
* (y2) x U2 r&#039; U&#039; r U2 l&#039; U R&#039; U&#039; R2&lt;br /&gt;
* (y) R&#039; U L&#039; U2 R U&#039; R&#039; U2 L R U&#039;&lt;br /&gt;
* B2&#039; R2 U&#039; R2&#039; u R2 D&#039; R2&#039; U R2&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U2 L U&#039; L&#039; U2&#039; L&lt;br /&gt;
* R L d2 R&#039; U&#039; R d2 R&#039; U L&#039;&lt;br /&gt;
* (L&#039; U R&#039; U2 L U&#039; R) U (L&#039; U R&#039; U2 L U&#039; R)&lt;br /&gt;
* L&#039; U R&#039; U2 L U&#039; R U L&#039; U R&#039; U2 L U&#039; R&lt;br /&gt;
* L&#039; U2 L U L&#039; U2 R U&#039; L U R&#039;&lt;br /&gt;
* L&#039; U&#039; L F L&#039; U&#039; L U L F&#039; L2 U L U&lt;br /&gt;
&lt;br /&gt;
===J Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:j.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R&#039; U&#039; R U2 L&#039; U R&#039; U&#039; L&lt;br /&gt;
* R U2 R&#039; U&#039; R d2&#039; R&#039; U L&#039; U&#039; R&lt;br /&gt;
* y2 R L U2 L&#039; U&#039; L U2 R&#039; U L&#039; U&#039;&lt;br /&gt;
* (R U R&#039; F&#039;) (R U R&#039; U&#039; R&#039;) F (R2 U&#039; R&#039; U&#039;)&lt;br /&gt;
* y&#039; L&#039; U&#039; R U2 L&#039; U L U2 L&#039; R U&lt;br /&gt;
* y2 F2&#039; R U R&#039; y r2 y&#039; R U&#039; R U R2&#039;&lt;br /&gt;
* L&#039; U R U&#039; L U2 R&#039; U R U2&#039; R&#039;&lt;br /&gt;
* y2 r2 U&#039; L&#039; U r&#039; U2 R B&#039; R&#039; U2&lt;br /&gt;
* (R U&#039; L U2 R&#039; U L) U&#039; (R U&#039; L U2 R&#039; U L)&lt;br /&gt;
* L&#039; U R&#039; U2 L U&#039; L&#039; U2 R L&lt;br /&gt;
&lt;br /&gt;
===N Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:n1.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U R2 B2 U R&#039; B2&#039; R U&#039; B2 R2&#039; U&#039; R&lt;br /&gt;
* z D R&#039; U R2 D&#039; R (U&#039; D) R&#039; U R2 D&#039; R U&#039; R&lt;br /&gt;
* y&#039; L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
* R U&#039; R&#039; U l U F U&#039; R&#039; F&#039; R U&#039; R U l&#039; U R&#039;&lt;br /&gt;
* L U&#039; L&#039; U L F U F&#039; L&#039; U&#039; L F&#039; L F L&#039; U L&#039;&lt;br /&gt;
* R&#039; U L&#039; U2 R U&#039; L R&#039; U L&#039; U2 R U&#039; L&lt;br /&gt;
* R U&#039; L d2 L&#039; U L R&#039; U&#039; R U2 r&#039; F l&#039; U&#039; y2&lt;br /&gt;
* L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
* y z R&#039; U R&#039; D R2&#039; U&#039; R U D&#039; R&#039; D R2&#039; U&#039; R D&#039;&lt;br /&gt;
* R U&#039; L d2 L&#039; U L R&#039; U&#039; R U2 L&#039; U R U&#039;&lt;br /&gt;
* F&#039; R U R&#039; U&#039; R&#039; F R2 F U&#039; R&#039; U&#039; R U F&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===N Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:n.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R2&#039; F2 U&#039; R F2&#039; R&#039; U F2 R2 U R&#039;&lt;br /&gt;
* z U&#039; R D&#039; R2&#039; U R&#039; (U&#039; D) R D&#039; R2 U R&#039; D &lt;br /&gt;
* z (D&#039; R U&#039; R2&#039; D R3 U) * 2&lt;br /&gt;
* L&#039; U R&#039; U2&#039; L U&#039; L&#039; R U R&#039; U2&#039; L U&#039; R U&#039;&lt;br /&gt;
* R&#039; U R U&#039; R&#039; F&#039; U&#039; F R U R&#039; F R&#039; F&#039; R U&#039; R&lt;br /&gt;
* z U&#039; R D&#039; R2 U R&#039; U&#039; z&#039; R U R&#039; z R2 U R&#039; z&#039; R U&#039;&lt;br /&gt;
* L&#039; U R&#039; z R2 U R&#039; U z&#039; R U R&#039; z R2 U R&#039; z&#039; R U&#039;&lt;br /&gt;
* L&#039; U L U&#039; r&#039; U&#039; F&#039; U L F L&#039; U L&#039; U&#039; r U&#039; L&lt;br /&gt;
* L U&#039; R U2 L&#039; U R&#039; L U&#039; R U2 L&#039; U R&#039; U&#039;&lt;br /&gt;
&lt;br /&gt;
===R Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:r1.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 z U R2 U&#039; R2 U F&#039; U&#039; R&#039; U R U F U2 R&lt;br /&gt;
* y&#039; R2 B&#039; R&#039; U&#039; R&#039; U R B R&#039; U2 R U2 R&#039;&lt;br /&gt;
* R U2 R&#039; U2 R B&#039; R&#039; U&#039; R U R B R2&#039; U&lt;br /&gt;
* R U2 R&#039; U2 R B&#039; R&#039; U&#039; R U l U R2 F&lt;br /&gt;
* U2 R&#039; U&#039; R U2 R U2 L&#039; R2 U R U&#039; R L U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; F&#039; R U2 R&#039; U2 R&#039; F R U R U2 R&#039; U&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R&#039; F&#039; R U2 R U2 R&#039; F R U&#039; R&#039; U&lt;br /&gt;
* R U2 R D R&#039; U R D&#039; R&#039; U&#039; R&#039; U R U R&#039; U&lt;br /&gt;
* y2 L U2 L&#039; U2 L F&#039; L&#039; U&#039; L U L F L2 U&lt;br /&gt;
* R l U&#039; l&#039; U&#039; R&#039; U l U l&#039; U2 R U2&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===R Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:r.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U2 R U2 R&#039; F R U R&#039; U&#039; R&#039; F&#039; R2&#039; U&#039;&lt;br /&gt;
* y R2 B2 U&#039; R&#039; U&#039; R U R U B2 R U&#039; R U&lt;br /&gt;
* R&#039; U2 R U&#039; y&#039; R&#039; F R B&#039; R&#039; F&#039; R z x&#039; R&#039; U R&#039;&lt;br /&gt;
* y2 R&#039; U2 l R U&#039; R&#039; U l&#039; U2&#039; R F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* R&#039; U2 R&#039; D&#039; R U&#039; R&#039; D R U R U&#039; R&#039; U&#039; R U&#039;&lt;br /&gt;
* (y x) R2 U l U R U&#039; l&#039; U&#039; l U2 R&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
===T Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:t.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 L&#039; U&#039; L U L F&#039; L2 U L U L&#039; U&#039; L F&lt;br /&gt;
* F R U&#039; R&#039; U R U R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* L2 U&#039; L2 D F2 R2 U R2 D&#039; F2&lt;br /&gt;
* R2 U&#039; R2 D B2 L2 U L2 D&#039; B2&lt;br /&gt;
* R2&#039; u&#039; R2 U R2&#039; y R2 u R2&#039; U&#039; R2&lt;br /&gt;
* R2 U R2&#039; U&#039; R2 U&#039; D R2&#039; U&#039; R2 U R2&#039; D&#039;&lt;br /&gt;
* (z x2) U2 r&#039; U2 r U2 x U2 r U2 r&#039; U2&lt;br /&gt;
&lt;br /&gt;
===V Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:V.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U R&#039; U&#039; y x R&#039; U&#039; R2 x&#039; U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; B&#039; D B&#039; D&#039; B2 R&#039; B&#039; R B R&lt;br /&gt;
* R&#039; U R&#039; U&#039; x2 y&#039; R&#039; U R&#039; U&#039; l R U&#039; R&#039; U R U&lt;br /&gt;
* y L&#039; U R U&#039; L U L&#039; U R&#039; U&#039; L U2 R U2 R&#039;&lt;br /&gt;
* y2 R U&#039; L&#039; U R&#039; U&#039; R U&#039; L U R&#039; U2 L&#039; U2 L&lt;br /&gt;
* y&#039; R&#039; U L U&#039; R U R&#039; U L&#039; U&#039; R U2 L U2 L&#039;&lt;br /&gt;
* L U&#039; R&#039; U L&#039; U&#039; L U&#039; R U L&#039; U2 R&#039; U2 R&lt;br /&gt;
* R&#039; U R&#039; d&#039; R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; y z&#039; U&#039; R U&#039; R&#039; U2 y&#039; R&#039; U&#039; R U R&lt;br /&gt;
* R&#039; U R&#039; U&#039; y R&#039; F&#039; R2 U&#039; R&#039; U R&#039; F R F&lt;br /&gt;
* R&#039; U R&#039; U&#039; y R&#039; D R&#039; D&#039; R2 F&#039; R&#039; F R F&lt;br /&gt;
* R&#039; U2 R U2 L U&#039; R&#039; U L&#039; U L U&#039; R U L&#039;&lt;br /&gt;
* R&#039; U2 R U2 L U&#039; R&#039; U r&#039; F r U&#039; R U r&#039;&lt;br /&gt;
&lt;br /&gt;
===Y Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:Y.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U&#039; R&#039; U&#039; R U R&#039; F&#039; R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R2 u R2&#039; U R2 D&#039; R&#039; U&#039; R F2&#039; R&#039; U R&lt;br /&gt;
* F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R&#039; U&#039; R F2 R&#039; U R d R2 U&#039; R2&#039; U&#039; R2&lt;br /&gt;
* R2 U&#039; R&#039; U R U&#039; z&#039; y&#039; L&#039; U&#039; R U&#039; R&#039; U&#039; L U y z&lt;br /&gt;
* y F&#039; L&#039; U L U L&#039; U&#039; L F L&#039; U&#039; L U L&#039; F&#039; L F&lt;br /&gt;
* F R U&#039; R&#039; F D R&#039; y x R&#039; U&#039; R z R2 y L&#039; d2&lt;br /&gt;
* z&#039; U2 L&#039; U&#039; L U L&#039; y&#039; L&#039; U&#039; R U&#039; R&#039; U&#039; L U&lt;br /&gt;
* F R&#039; F&#039; R U R U&#039; R2 U&#039; R U l U&#039; R&#039; U&lt;br /&gt;
* z U2 R U R&#039; U&#039; R y R U L&#039; U L U R&#039; U&#039;&lt;br /&gt;
* F R U&#039; R&#039; U&#039; R d R U R&#039; B&#039; R U&#039; R2&lt;br /&gt;
* R&#039; F R F&#039; y&#039; U&#039; R&#039; U R2 U R&#039; U&#039; R&#039; F R F&#039; U&#039;&lt;br /&gt;
* y2 z U2 R&#039; U2 R&#039; U2 R B R B &#039; U2 B R&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;{{PLL}}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[2-Look PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5812</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5812"/>
		<updated>2009-10-29T20:44:57Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* OLL 18 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].&lt;br /&gt;
&lt;br /&gt;
Parentheses in an algorithm signify the triggers of the algorithm.  For example, [(R U R&#039;) (L&#039; U L)] shows two triggers in the algorithm, even though it is the same as [R U R&#039; L&#039; U L].&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All edges flipped correctly==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;OCLL&#039;&#039;&#039; is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. &lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== OLL 21 ===&lt;br /&gt;
[[Image:o21.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
* y R U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y F (R U R&#039; U&#039;) (R U R&#039; U&#039;) (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 R&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U L U2 L&#039;&lt;br /&gt;
* y L&#039; U2 L U L&#039; U&#039; L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 22 ===&lt;br /&gt;
[[Image:o22.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; U&#039; R2 U&#039; R2&#039; U2 R&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 L&#039; U2 L2 U L2 U L2 U2 L&#039;&lt;br /&gt;
* R U2 R2 U&#039; R&#039; U R U&#039; R U&#039; R&#039; y M&#039; U2 M&lt;br /&gt;
* R&#039; U L U&#039; R U&#039; L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* y2 L U&#039; R&#039; U L&#039; U R U R&#039; U R&lt;br /&gt;
* y2 L&#039; U R U&#039; L U&#039; R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 23 ===&lt;br /&gt;
[[Image:o23.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 D&#039; R U2 R&#039; D R U2 R&lt;br /&gt;
* R&#039; U2 R F U&#039; R&#039; U&#039; R U F&#039;&lt;br /&gt;
* l2 U&#039; R D2 R&#039; U R D2 R&lt;br /&gt;
* l2&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&lt;br /&gt;
* y&#039; R U R&#039; U&#039; (R U&#039; R&#039; U2)(R U&#039; R&#039; U2) R U R&#039;&lt;br /&gt;
* y2 R&#039; F2 R U2 R U2 R&#039; F2 R U2 R&#039;&lt;br /&gt;
* y2 R2 D R&#039; U2 R D&#039; R&#039; U2 R&#039;&lt;br /&gt;
* (R&#039; U&#039; R U) R&#039; U2 R2 U (R&#039; U R U2 R)&lt;br /&gt;
&lt;br /&gt;
=== OLL 24 ===&lt;br /&gt;
[[Image:o24.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039; x&#039;&lt;br /&gt;
* r U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* y&#039; F R U R&#039; U&#039; R U&#039; R U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y&#039; R U R2&#039; U&#039; R2 U&#039; R2&#039; U2&#039; R U&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R U&#039; R&#039; (U2 R U R&#039;) (U2 R U R&#039;) (U R U&#039; R&#039;)&lt;br /&gt;
* y  x D&#039; R&#039; U R D R&#039; U&#039; R x&#039;&lt;br /&gt;
* y  x&#039; U&#039; R&#039; D R U R&#039; D&#039; R x&lt;br /&gt;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
* y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R B&#039; R&#039; F&#039; R B&lt;br /&gt;
* y&#039; F&#039; r U R&#039; U&#039; r&#039; F R&lt;br /&gt;
* y&#039; x U R&#039; U&#039; L U R U&#039; r&#039;&lt;br /&gt;
* y R&#039; F&#039; L&#039; F R F&#039; L F&lt;br /&gt;
* y R&#039; U&#039; (R U R&#039; F&#039;) (R U R&#039; U&#039;) (R&#039; F R2)&lt;br /&gt;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#039;&lt;br /&gt;
* y2 F R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
* y2 l&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* y2 x&#039; L&#039; U&#039; R&#039; U L U&#039; R U&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
* x&#039; R&#039; D R U&#039; R&#039; D&#039; R U x&lt;br /&gt;
* x R&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* D&#039; R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; L U x&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R U R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 26 ===&lt;br /&gt;
[[Image:o26.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R&#039; U2 R&lt;br /&gt;
* y&#039; R U2 R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* L U2 L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&lt;br /&gt;
* L&#039; U R U&#039; L U R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 27 ===&lt;br /&gt;
[[Image:o27.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y L&#039; U2 L U L&#039; UL&lt;br /&gt;
* y2 L U L&#039; U L U2 L&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U&#039; L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==No edges flipped correctly==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 1 === &lt;br /&gt;
[[Image:o1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (R U2) (R2&#039; F R F&#039; U2&#039;) (R&#039; F R F&#039;)&lt;br /&gt;
* R U B&#039; R B R2 U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 2 === &lt;br /&gt;
[[Image:o2.gif]]&lt;br /&gt;
&lt;br /&gt;
* F (R U R&#039; U&#039;) F&#039; f (R U R&#039; U&#039;) f&#039;&lt;br /&gt;
* F&#039; L&#039; U&#039; L U F f&#039; L&#039; U&#039; L U f&lt;br /&gt;
&lt;br /&gt;
=== OLL 3 ===&lt;br /&gt;
[[Image:o3.gif]]&lt;br /&gt;
&lt;br /&gt;
* y f (R U R&#039; U&#039;) f&#039; U&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 r&#039; R2 U R&#039; U r U2 r&#039; U R&#039; r&lt;br /&gt;
* y2 M U Lw&#039; U2 Lw U L&#039; U L M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 4 ===&lt;br /&gt;
[[Image:o4.gif]]&lt;br /&gt;
&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; U F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
* y r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
* y M U&#039; Rw U2&#039; Rw&#039; U&#039; R U&#039; R&#039; M&#039;&lt;br /&gt;
* l L2 U&#039; L U&#039; l&#039; U2 l U&#039; M&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 17 ===&lt;br /&gt;
[[Image:o17.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* Fw R U R&#039; U&#039; y&#039; M U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* F R&#039; F&#039; l R L&#039; U R U&#039; R&#039; U&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 18 ===&lt;br /&gt;
[[Image:o18.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; r U R&#039; U R U2 r2&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* y2 F R U R&#039; d R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* R U2 R2 F R F&#039; U2 M&#039; U R U&#039; r&#039;&lt;br /&gt;
* l&#039; U&#039; r&#039; U2 L U2 L&#039; U2 r U l&lt;br /&gt;
&lt;br /&gt;
=== OLL 19 ===&lt;br /&gt;
[[Image:o19.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; U2 R U R&#039; U r2 U2&#039; R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* R&#039; U2 F R U R&#039; U&#039; y&#039; R2 U2 R B&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 20 ===&lt;br /&gt;
[[Image:o20.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r2 R2&#039; U R U&#039; r&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; M2 U R U&#039; r&#039;&lt;br /&gt;
* Rw U R&#039; U&#039; M2 (U R U&#039; R&#039;) U&#039; M&#039;&lt;br /&gt;
* M&#039; U2 M&#039; U2 M&#039; U M U2 M U2 M&lt;br /&gt;
* M&#039; U2 M U2 M&#039; U M U2 M&#039; U2 M&lt;br /&gt;
* M U2 M&#039; U2 M U M&#039; U2 M U2 M&#039; U&#039; &lt;br /&gt;
* M U2 M U2 M U M&#039; U2 M&#039; U2 M&#039; U&#039;&lt;br /&gt;
* M&#039; U M&#039; U M&#039; U M&#039; U M U M U M U M U&lt;br /&gt;
* M&#039; U M U M&#039; U2 M&#039; U M&#039; U M U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M U&#039; M&#039; U2 M&#039; U&#039; M&#039; U&#039; M U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* M&#039; U&#039; M U2 M&#039; U&#039; M2 U M&#039; U2 M U M&#039;&lt;br /&gt;
* M d r2 U M&#039; U2 M U r2 S&#039;&lt;br /&gt;
* M U M F R&#039;F&#039; M2 F R F&#039; U&#039;&lt;br /&gt;
* R2 U2 R&#039; F2 U2 R2 F&#039; R2 U2 F2 R U2 R2 U&#039; &lt;br /&gt;
* R B U B&#039; R&#039; F2 B D&#039; L&#039; D B&#039;F2 &lt;br /&gt;
* L&#039; R&#039; F&#039; U2 L2 U2 L2 U2 L2 F L R &lt;br /&gt;
* F U2 F&#039; U L&#039; U&#039; B&#039; R&#039; U2 R U&#039; B U L &lt;br /&gt;
* F2 M F2 M2 U&#039; M2 F2 M&#039; F2 U &lt;br /&gt;
* F2 M F2 U&#039; M2 U B2 M B2 &lt;br /&gt;
* F&#039; B&#039; R E S R S&#039; R2 E&#039; F B &lt;br /&gt;
* B&#039; R&#039; B F2 U&#039; R&#039; U&#039; R&#039; F R2 U F2 R &lt;br /&gt;
* B L B&#039; F2 U L U L F&#039; L2 U&#039; F2 L&#039; &lt;br /&gt;
* S U S2 U&#039; L U L S L&#039; U&#039; L&#039; &lt;br /&gt;
* S&#039; U&#039; S2 U R&#039; U&#039; R&#039; S&#039; R U R&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;P&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 31 ===&lt;br /&gt;
[[Image:o31.gif]]&lt;br /&gt;
&lt;br /&gt;
* L&#039; d&#039; R d L U&#039; L&#039; B&#039; L&lt;br /&gt;
* S&#039; L&#039; U&#039; L U L F&#039; L&#039; f&lt;br /&gt;
* y x U R&#039; U&#039; l U R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y2 R&#039; U&#039; F U R U&#039; R&#039; F&#039; R&lt;br /&gt;
* L&#039; U&#039; B U L U&#039; L&#039; B&#039; L&lt;br /&gt;
&lt;br /&gt;
=== OLL 32 ===&lt;br /&gt;
[[Image:o32.gif]]&lt;br /&gt;
&lt;br /&gt;
* R d L&#039; d&#039; R&#039; U R B R&#039;&lt;br /&gt;
* S R U R&#039; U&#039; R&#039; F R f&#039;&lt;br /&gt;
* y x&#039; U&#039; R U l&#039; U&#039; R&#039; U&#039; R U R&#039; U R&lt;br /&gt;
* R U B&#039; U&#039; R&#039; U R B R&#039;&lt;br /&gt;
* y2 F U R U&#039; F&#039; r U R&#039; U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 43 ===&lt;br /&gt;
[[Image:o43.gif]]&lt;br /&gt;
&lt;br /&gt;
* f&#039; L&#039; U&#039; L U f&lt;br /&gt;
* B&#039; U&#039; R&#039; U R B&lt;br /&gt;
* y2 F&#039; U&#039; L&#039; U L F&lt;br /&gt;
* U R U R&#039; F&#039; L&#039; U&#039; L F&lt;br /&gt;
* y2 R&#039; U&#039; F R&#039; F&#039; R U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 44 ===&lt;br /&gt;
[[Image:o44.gif]]&lt;br /&gt;
&lt;br /&gt;
* f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y R U y&#039; L U&#039; L&#039; B&#039;&lt;br /&gt;
* y F U R&#039; F R F&#039; U&#039; F&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;W&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 36 ===&lt;br /&gt;
[[Image:o36.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U R B&#039; R&#039; B&lt;br /&gt;
* y2 (L&#039; U&#039; L U&#039;) (L&#039; U L U) (L F&#039; L&#039; F)&lt;br /&gt;
* (R U R&#039; U&#039;) y (L&#039; U2&#039; L U) y&#039; (R U R&#039;)&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 38 ===&lt;br /&gt;
[[Image:o38.gif]]&lt;br /&gt;
&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U&#039; L&#039; B L B&#039;&lt;br /&gt;
* y2 R U R&#039; U R U&#039; R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* (L&#039; U&#039; L U) y&#039; (R U2 R&#039; U&#039;) y (L&#039; U&#039; L)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;L&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 53 ===&lt;br /&gt;
[[Image:o53.gif]]&lt;br /&gt;
&lt;br /&gt;
* l&#039; U&#039; L U&#039; L&#039; U L U&#039; L&#039; U2 l&lt;br /&gt;
* l U2 L U L&#039; U&#039; L U L&#039; U&#039; l&#039;&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 r&lt;br /&gt;
* y&#039; r&#039; U2 R U R&#039; U&#039; R U R&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 54 ===&lt;br /&gt;
[[Image:o54.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U R U&#039; R&#039; U R U2 r&#039;&lt;br /&gt;
* y&#039; r U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* y2 l U L&#039; U L U&#039; L&#039; U L U2 l&#039; &lt;br /&gt;
* y l&#039; U2 L U L&#039; U&#039; L U L&#039; U&#039; l&lt;br /&gt;
&lt;br /&gt;
=== OLL 50 ===&lt;br /&gt;
[[Image:o50.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R2 B&#039; R2 F&#039; R2 B R&#039;&lt;br /&gt;
* r&#039; U r2 U&#039; r2&#039; U&#039; r2 U r&#039;&lt;br /&gt;
* R B&#039; R B R2&#039; U2 F R&#039; F&#039; R&lt;br /&gt;
* y2 l&#039; U l2 U&#039; l2 U&#039; l2 U l&#039;&lt;br /&gt;
* r&#039; U2 R2&#039; U R2 U rR U2 R&#039;&lt;br /&gt;
* y&#039; [R U2 R&#039; U&#039; R U&#039; R&#039;] [F R U R&#039; U&#039; F&#039;]&lt;br /&gt;
* (y x&#039;) U&#039; r U2 L&#039; U2 r&#039; U2 L U&#039; (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 47 ===&lt;br /&gt;
[[Image:o47.gif]]&lt;br /&gt;
&lt;br /&gt;
* F&#039; L&#039; U&#039; L U L&#039; U&#039; L U F&lt;br /&gt;
* R&#039; U&#039; x R&#039; U R U&#039; R&#039; U R U&#039; x&#039; U R&lt;br /&gt;
* b&#039; U&#039; R&#039; U R U&#039; R&#039; U R b&lt;br /&gt;
&lt;br /&gt;
=== OLL 48 ===&lt;br /&gt;
[[Image:o48.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 f U R U&#039; R&#039; U R U&#039; R&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 49 ===&lt;br /&gt;
[[Image:o49.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R2 F R2 B R2 F&#039; R&lt;br /&gt;
* l U&#039; l2&#039; U l2 U l2&#039; U&#039; l&lt;br /&gt;
* y2 r U&#039; r2 U r2 U r2 U&#039; r&lt;br /&gt;
* y2 R&#039; F R&#039; F&#039; R2 d2 y&#039; R&#039; F R F&#039;&lt;br /&gt;
* y2 r U2 R2&#039; U&#039; R2 U&#039; r&#039;R&#039; U2 R&lt;br /&gt;
* (y&#039; x&#039;) U l&#039; U2 R U2 l U2 R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;C&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 34 ===&lt;br /&gt;
[[Image:o34.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; x D&#039; R&#039; U R E&#039; z&#039;&lt;br /&gt;
* y2 R&#039; U&#039; R U y&#039;x&#039; R U L&#039; U&#039; M&#039;&lt;br /&gt;
* R U R&#039; U&#039; y&#039; Rw&#039; U&#039; R U M&#039;&lt;br /&gt;
* (R U R&#039; U&#039;) B&#039; (R U R&#039; F&#039;) B&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&lt;br /&gt;
* R U R2 U&#039; R&#039; F R U R U&#039; F&#039;&lt;br /&gt;
* y2 F R U R&#039; U&#039; R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 46 ===&lt;br /&gt;
[[Image:o46.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R&#039; F R F&#039; U R&lt;br /&gt;
* R&#039; U&#039; l&#039; U l F&#039; U R&lt;br /&gt;
* y F U F Lw&#039; U&#039; Lw U&#039; F&#039;&lt;br /&gt;
* R U l U&#039; R&#039; U F&#039; l&#039;&lt;br /&gt;
* y2 L F U&#039; R U R&#039; F&#039; L&#039;&lt;br /&gt;
* R U R&#039;2 U&#039; R&#039; F R U R U&#039; F&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;T&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 33 ===&lt;br /&gt;
[[Image:o33.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R&#039; U&#039; R U l U&#039; R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 45 ===&lt;br /&gt;
[[Image:o45.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* Fw&#039; U&#039; L&#039; U L Fw&lt;br /&gt;
* y2 Fw U R U&#039; R&#039; Fw&#039;&lt;br /&gt;
* y2 F&#039; L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;I&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 55 ===&lt;br /&gt;
[[Image:o55.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2 U&#039; R U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* R&#039; U2 R2 U R&#039; U R U2 y Lw&#039; U&#039; Lw&lt;br /&gt;
* Rw U2 R2 F R F&#039; U2 Rw&#039; F R F&#039;&lt;br /&gt;
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)&lt;br /&gt;
::(y) Rr U2 Rra&#039; U2 Rr U2 Rr&#039; U2 Rra U2 Rr&#039;&lt;br /&gt;
* y R&#039; F R U R&#039; F R U&#039; R&#039; F&#039; R U M&#039; U&#039; M&lt;br /&gt;
* L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; M&#039; U M&lt;br /&gt;
* (L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; L)(R&#039; F R) L&#039;&lt;br /&gt;
* R d&#039; R2 D R&#039; U2 R D&#039; R2 d R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
* Rw U Rw&#039; U R U&#039; R&#039; U R U&#039; R&#039; Rw U&#039; Rw&#039; &lt;br /&gt;
* Rw&#039; U&#039; Rw U&#039; R&#039; U R U&#039; R&#039; U R Rw&#039; U Rw&lt;br /&gt;
* L F L&#039; U R U&#039; R&#039; U R U&#039; R&#039; L F&#039; L&#039;&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; Rw U R&#039; U&#039; Rw&#039;&lt;br /&gt;
* R B R&#039; U L U&#039; L&#039; U L U&#039; L&#039; R B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 51 ===&lt;br /&gt;
[[Image:o51.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 f R U R&#039; U&#039; R U R&#039; U&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 52 ===&lt;br /&gt;
[[Image:o52.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; d R&#039; U R B&lt;br /&gt;
* R U R&#039; U R d&#039; R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 R&#039; U&#039; x U R&#039; U&#039; R U R&#039; U&#039; R x&#039; U R &lt;br /&gt;
* (R U R&#039; U R U2 R&#039;) U (F U R U&#039; R&#039; F&#039;)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Square shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 5 ===&lt;br /&gt;
[[Image:o5.gif]]&lt;br /&gt;
&lt;br /&gt;
* (r&#039; U2) (R U R&#039; U r)&lt;br /&gt;
* y2 l&#039; U2 L U L&#039; U l&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 6 ===&lt;br /&gt;
[[Image:o6.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 (r U2) (R&#039; U&#039; R U&#039;) r&#039;&lt;br /&gt;
* l U2 L&#039; U&#039; L U&#039; l&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Big lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 39 ===&lt;br /&gt;
[[Image:o39.gif]]&lt;br /&gt;
&lt;br /&gt;
* L F&#039; L&#039; U&#039; L U F U&#039; L&#039;&lt;br /&gt;
* y2 f&#039; L F L&#039; U&#039; L&#039; U L S&lt;br /&gt;
* y2 R B&#039; R&#039; U&#039; R U B U&#039; R&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; x R&#039; U&#039; R U x&#039; U F&#039; Lw&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 40 ===&lt;br /&gt;
[[Image:o40.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; U&#039; F&#039; U R&lt;br /&gt;
* y2 f R&#039; F&#039; R U R U&#039; R&#039; S&#039;&lt;br /&gt;
* y2 L&#039; B L U L&#039; U&#039; B&#039; U L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Small lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 7 ===&lt;br /&gt;
[[Image:o7.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U R U2 Rw&#039;&lt;br /&gt;
* F&#039; R&#039; F R U2 R U2 R&#039;&lt;br /&gt;
* L&#039; U2 L U2 L F&#039; L&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 8 ===&lt;br /&gt;
[[Image:o8.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* R U2 R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 11 ===&lt;br /&gt;
[[Image:o11.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R2 U R&#039; U R U2 R&#039; U r R&#039;&lt;br /&gt;
* y2 r U R&#039; U R&#039; F R F&#039; R U2 r&#039;&lt;br /&gt;
* y F&#039; L&#039; U&#039; L U F&#039; Y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R U R&#039; y&#039; U&#039; R&#039; U&#039; R y U R&#039; F&#039; R U R U&#039; R&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 12 ===&lt;br /&gt;
[[Image:o12.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y F R U R2 F R y&#039; R2 U R U2 R&#039;&lt;br /&gt;
* y&#039; r R2 U&#039; R U&#039; R&#039; U2 R U&#039; R r&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Fish shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 9 ===&lt;br /&gt;
[[Image:o9.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R&#039; U&#039; R y&#039; x&#039; R U&#039; R&#039; F R U R&#039; x&lt;br /&gt;
* y&#039; R&#039; U&#039; R x U&#039; R&#039; U y R U y&#039; R U&#039; x&#039;&lt;br /&gt;
* y&#039; R U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; R y Rw U&#039; Rw&#039; U Rw U Rw&lt;br /&gt;
&lt;br /&gt;
=== OLL 10 ===&lt;br /&gt;
[[Image:o10.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R U R&#039; y R&#039; F R U&#039; R&#039; F&#039; R&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; y&#039; R&#039;w U Rw U&#039; R&#039;w U&#039; Rw&lt;br /&gt;
* y&#039; R&#039; U&#039; R U R B&#039; R2 U&#039; R U B&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 35 ===&lt;br /&gt;
[[Image:o35.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 (R Lw) U&#039; R&#039; U Lw&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
=== OLL 37 ===&lt;br /&gt;
[[Image:o37.gif]]&lt;br /&gt;
&lt;br /&gt;
* x&#039; U&#039; R U l&#039; U&#039; R&#039; U R&lt;br /&gt;
* l U&#039; R&#039; U y&#039; R U R&#039; U&#039; z&#039;&lt;br /&gt;
* y F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y R&#039; F R F&#039; U&#039; F&#039; U F&lt;br /&gt;
* y F R&#039; F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* R B&#039; R&#039; B U B U&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Knight move shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 13 ===&lt;br /&gt;
[[Image:o13.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* F U R U2 R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 f R U R2 U&#039; R&#039; U R U&#039; f&#039;&lt;br /&gt;
* r U&#039; r&#039; U&#039; r U r&#039; y&#039; R&#039; U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 14 ===&lt;br /&gt;
[[Image:o14.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; F&#039; R y&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; y&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 B&#039; U&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 Rw&#039; U Rw U Rw&#039; U&#039; Rw y R U&#039; R&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 15 ===&lt;br /&gt;
[[Image:o15.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F&#039; R L&#039; U&#039; L U R&#039; F R&lt;br /&gt;
* r&#039; U&#039; r R&#039; U&#039; R U r&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 16 ===&lt;br /&gt;
[[Image:o16.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r U r&#039; R U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 r U M U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 F&#039; R U R&#039; U&#039; R&#039; F R U&#039; y&#039; R&#039; U R U y R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Awkward shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 29 ===&lt;br /&gt;
[[Image:o29.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; d&#039; L&#039; U&#039; L&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; U&#039; y&#039; R&#039; U&#039; R&lt;br /&gt;
* y2 R2&#039; U&#039; R F R&#039; U R2&#039; U&#039; R&#039; F&#039; R&lt;br /&gt;
* y (R U R&#039; U&#039;) (R U&#039; R&#039; F&#039;) U&#039; (F R U R&#039;)&lt;br /&gt;
* y R&#039; U2 R2 U R&#039; U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* M U (R U R&#039; U&#039;) (R&#039; F R F&#039;) M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F2&lt;br /&gt;
* l U&#039; R&#039; U l&#039; U2 d L U L&#039;&lt;br /&gt;
* f R U R2 U&#039; R&#039; U R2 U&#039; R&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; x&#039; U R&#039; D&#039; R U&#039; R&#039;&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B R&#039;&lt;br /&gt;
* M U&#039; (L&#039; U&#039; L U) (L F&#039; L&#039; F) M&#039;&lt;br /&gt;
* y2 M&#039; U&#039; (R&#039; U&#039; R U) x (R U&#039; R&#039; U) M x&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 41 ===&lt;br /&gt;
[[Image:o41.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R&#039; U2 R U y R U&#039; R&#039; y&#039; U&#039; R&#039;&lt;br /&gt;
* y R U2&#039; R&#039; U&#039; R U&#039; R2 (y) L&#039; U&#039; L U F&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y2 R U R&#039; U R U2 R&#039; F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 Rw R2 y&#039; R&#039; U&#039; R U y R U&#039; M&lt;br /&gt;
* y2 R2 L z&#039; l&#039; U&#039; R d L U&#039; L l&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw&#039; R2 y R U R&#039; U&#039; y&#039; R&#039; U M&#039;&lt;br /&gt;
* R&#039; U&#039; R U F R U R&#039; U&#039; R&#039; U R U&#039; F&#039;&lt;br /&gt;
* L&#039; U L U2 L&#039; U&#039; y&#039; L&#039; U L U F&lt;br /&gt;
* y R&#039; U2 R U R&#039; U R2 y R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y (R&#039;F R F&#039;)*2 R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z Rw U L&#039; Dw&#039; R&#039; U R&#039; Rw&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==All Corners Oriented==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 28 ===&lt;br /&gt;
[[Image:o28.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U&#039; Rw&#039; R U R U&#039; R&#039;&lt;br /&gt;
* y&#039; Rw&#039; U&#039; R U M&#039; U&#039; R&#039; U R&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; U2 F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* F R U R&#039; U&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&lt;br /&gt;
* y M U&#039; M&#039; U2 M U&#039; M&#039;&lt;br /&gt;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* y&#039; M U M2 U M&#039; U2 M U M &lt;br /&gt;
* M U M U M&#039; U&#039; M U&#039; M U M &lt;br /&gt;
* M U M&#039; U M U2 M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* y M U&#039; M U&#039; M&#039; U M U M U&#039; M &lt;br /&gt;
* y2 M U&#039; M2 U&#039; M&#039; U2 M U&#039; M &lt;br /&gt;
* y&#039; M U M&#039; U M U M&#039; U M U M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; M U M U M U&#039; M U&#039; M&#039; U M2&lt;br /&gt;
* y&#039; M2 U M&#039; U2 M U M U M U2 M&#039; U M&lt;br /&gt;
* y2 M&#039; U M U&#039; M U&#039; M U M U M&#039; U&#039; M2 &lt;br /&gt;
* M U&#039; M2 U2 M&#039; U&#039; M U2 M U&#039; M U&#039; M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; F2 M2 U&#039; M U F2 U M2 &lt;br /&gt;
* y2 M&#039; U F2 M2 U M U&#039; F2 U&#039; M2 &lt;br /&gt;
* R&#039; F R S R&#039; F&#039; R S&#039; &lt;br /&gt;
* L2 S U&#039; S&#039; U L2 U S U S&#039; &lt;br /&gt;
* y L F&#039; L&#039; S&#039; L F L&#039;S &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 57 ===&lt;br /&gt;
[[Image:o57.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; Rw R&#039; U R U&#039; Rw&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* R&#039; U&#039; R U M U&#039; R&#039; U Rw&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M&#039; U&#039; M&#039; U2 M U&#039; M U&#039; M&lt;br /&gt;
* M U M&#039; U&#039; M U M&#039; U M U2 M&#039;&lt;br /&gt;
* M&#039; U&#039; M U M&#039; U&#039; M U&#039; M&#039; U2 M&lt;br /&gt;
* M U M2 U2 M U M U2 M U&#039; M&#039; U&#039; M&#039;&lt;br /&gt;
* M&#039; U&#039; M2 U2 M&#039; U&#039; M&#039; U2 M&#039; U M U M&lt;br /&gt;
* M2 U&#039; M U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U M &lt;br /&gt;
* M2 U&#039; M&#039; U M U M U&#039; M U&#039; M U M&#039; &lt;br /&gt;
* y M&#039; U M&#039; U M&#039; U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* y M&#039; U M U M&#039; U M U&#039; M&#039; U&#039; M&lt;br /&gt;
* y M&#039; U&#039; M U&#039; M&#039; U&#039; M U M&#039; U M&lt;br /&gt;
* y M U&#039; M&#039; U&#039; M U&#039; M’ U M U M&#039;&lt;br /&gt;
* y M U M&#039; U M U M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* M U M&#039; U&#039; F2 M U M&#039; U&#039; F2 &lt;br /&gt;
* M&#039; U&#039; M U F2 M&#039; U&#039; M U F2&lt;br /&gt;
* M2 U&#039; F2 U&#039; M&#039; U M2 F2 U M&lt;br /&gt;
* F M&#039; F U M2 U2 M2 U F&#039; M F&#039; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[OLL (2x2x2)]]&lt;br /&gt;
* [[2-Look OLL]]&lt;br /&gt;
* [[PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5811</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5811"/>
		<updated>2009-10-29T20:41:22Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* OLL 4 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].&lt;br /&gt;
&lt;br /&gt;
Parentheses in an algorithm signify the triggers of the algorithm.  For example, [(R U R&#039;) (L&#039; U L)] shows two triggers in the algorithm, even though it is the same as [R U R&#039; L&#039; U L].&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All edges flipped correctly==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;OCLL&#039;&#039;&#039; is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. &lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== OLL 21 ===&lt;br /&gt;
[[Image:o21.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
* y R U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y F (R U R&#039; U&#039;) (R U R&#039; U&#039;) (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 R&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U L U2 L&#039;&lt;br /&gt;
* y L&#039; U2 L U L&#039; U&#039; L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 22 ===&lt;br /&gt;
[[Image:o22.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; U&#039; R2 U&#039; R2&#039; U2 R&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 L&#039; U2 L2 U L2 U L2 U2 L&#039;&lt;br /&gt;
* R U2 R2 U&#039; R&#039; U R U&#039; R U&#039; R&#039; y M&#039; U2 M&lt;br /&gt;
* R&#039; U L U&#039; R U&#039; L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* y2 L U&#039; R&#039; U L&#039; U R U R&#039; U R&lt;br /&gt;
* y2 L&#039; U R U&#039; L U&#039; R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 23 ===&lt;br /&gt;
[[Image:o23.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 D&#039; R U2 R&#039; D R U2 R&lt;br /&gt;
* R&#039; U2 R F U&#039; R&#039; U&#039; R U F&#039;&lt;br /&gt;
* l2 U&#039; R D2 R&#039; U R D2 R&lt;br /&gt;
* l2&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&lt;br /&gt;
* y&#039; R U R&#039; U&#039; (R U&#039; R&#039; U2)(R U&#039; R&#039; U2) R U R&#039;&lt;br /&gt;
* y2 R&#039; F2 R U2 R U2 R&#039; F2 R U2 R&#039;&lt;br /&gt;
* y2 R2 D R&#039; U2 R D&#039; R&#039; U2 R&#039;&lt;br /&gt;
* (R&#039; U&#039; R U) R&#039; U2 R2 U (R&#039; U R U2 R)&lt;br /&gt;
&lt;br /&gt;
=== OLL 24 ===&lt;br /&gt;
[[Image:o24.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039; x&#039;&lt;br /&gt;
* r U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* y&#039; F R U R&#039; U&#039; R U&#039; R U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y&#039; R U R2&#039; U&#039; R2 U&#039; R2&#039; U2&#039; R U&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R U&#039; R&#039; (U2 R U R&#039;) (U2 R U R&#039;) (U R U&#039; R&#039;)&lt;br /&gt;
* y  x D&#039; R&#039; U R D R&#039; U&#039; R x&#039;&lt;br /&gt;
* y  x&#039; U&#039; R&#039; D R U R&#039; D&#039; R x&lt;br /&gt;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
* y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R B&#039; R&#039; F&#039; R B&lt;br /&gt;
* y&#039; F&#039; r U R&#039; U&#039; r&#039; F R&lt;br /&gt;
* y&#039; x U R&#039; U&#039; L U R U&#039; r&#039;&lt;br /&gt;
* y R&#039; F&#039; L&#039; F R F&#039; L F&lt;br /&gt;
* y R&#039; U&#039; (R U R&#039; F&#039;) (R U R&#039; U&#039;) (R&#039; F R2)&lt;br /&gt;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#039;&lt;br /&gt;
* y2 F R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
* y2 l&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* y2 x&#039; L&#039; U&#039; R&#039; U L U&#039; R U&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
* x&#039; R&#039; D R U&#039; R&#039; D&#039; R U x&lt;br /&gt;
* x R&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* D&#039; R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; L U x&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R U R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 26 ===&lt;br /&gt;
[[Image:o26.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R&#039; U2 R&lt;br /&gt;
* y&#039; R U2 R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* L U2 L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&lt;br /&gt;
* L&#039; U R U&#039; L U R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 27 ===&lt;br /&gt;
[[Image:o27.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y L&#039; U2 L U L&#039; UL&lt;br /&gt;
* y2 L U L&#039; U L U2 L&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U&#039; L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==No edges flipped correctly==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 1 === &lt;br /&gt;
[[Image:o1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (R U2) (R2&#039; F R F&#039; U2&#039;) (R&#039; F R F&#039;)&lt;br /&gt;
* R U B&#039; R B R2 U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 2 === &lt;br /&gt;
[[Image:o2.gif]]&lt;br /&gt;
&lt;br /&gt;
* F (R U R&#039; U&#039;) F&#039; f (R U R&#039; U&#039;) f&#039;&lt;br /&gt;
* F&#039; L&#039; U&#039; L U F f&#039; L&#039; U&#039; L U f&lt;br /&gt;
&lt;br /&gt;
=== OLL 3 ===&lt;br /&gt;
[[Image:o3.gif]]&lt;br /&gt;
&lt;br /&gt;
* y f (R U R&#039; U&#039;) f&#039; U&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 r&#039; R2 U R&#039; U r U2 r&#039; U R&#039; r&lt;br /&gt;
* y2 M U Lw&#039; U2 Lw U L&#039; U L M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 4 ===&lt;br /&gt;
[[Image:o4.gif]]&lt;br /&gt;
&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; U F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
* y r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
* y M U&#039; Rw U2&#039; Rw&#039; U&#039; R U&#039; R&#039; M&#039;&lt;br /&gt;
* l L2 U&#039; L U&#039; l&#039; U2 l U&#039; M&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 17 ===&lt;br /&gt;
[[Image:o17.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* Fw R U R&#039; U&#039; y&#039; M U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* F R&#039; F&#039; l R L&#039; U R U&#039; R&#039; U&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 18 ===&lt;br /&gt;
[[Image:o18.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; r U R&#039; U R U2 r2&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* y2 F R U R&#039; d R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* R U2 R2 F R F&#039; U2 M&#039; U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 19 ===&lt;br /&gt;
[[Image:o19.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; U2 R U R&#039; U r2 U2&#039; R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* R&#039; U2 F R U R&#039; U&#039; y&#039; R2 U2 R B&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 20 ===&lt;br /&gt;
[[Image:o20.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r2 R2&#039; U R U&#039; r&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; M2 U R U&#039; r&#039;&lt;br /&gt;
* Rw U R&#039; U&#039; M2 (U R U&#039; R&#039;) U&#039; M&#039;&lt;br /&gt;
* M&#039; U2 M&#039; U2 M&#039; U M U2 M U2 M&lt;br /&gt;
* M&#039; U2 M U2 M&#039; U M U2 M&#039; U2 M&lt;br /&gt;
* M U2 M&#039; U2 M U M&#039; U2 M U2 M&#039; U&#039; &lt;br /&gt;
* M U2 M U2 M U M&#039; U2 M&#039; U2 M&#039; U&#039;&lt;br /&gt;
* M&#039; U M&#039; U M&#039; U M&#039; U M U M U M U M U&lt;br /&gt;
* M&#039; U M U M&#039; U2 M&#039; U M&#039; U M U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M U&#039; M&#039; U2 M&#039; U&#039; M&#039; U&#039; M U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* M&#039; U&#039; M U2 M&#039; U&#039; M2 U M&#039; U2 M U M&#039;&lt;br /&gt;
* M d r2 U M&#039; U2 M U r2 S&#039;&lt;br /&gt;
* M U M F R&#039;F&#039; M2 F R F&#039; U&#039;&lt;br /&gt;
* R2 U2 R&#039; F2 U2 R2 F&#039; R2 U2 F2 R U2 R2 U&#039; &lt;br /&gt;
* R B U B&#039; R&#039; F2 B D&#039; L&#039; D B&#039;F2 &lt;br /&gt;
* L&#039; R&#039; F&#039; U2 L2 U2 L2 U2 L2 F L R &lt;br /&gt;
* F U2 F&#039; U L&#039; U&#039; B&#039; R&#039; U2 R U&#039; B U L &lt;br /&gt;
* F2 M F2 M2 U&#039; M2 F2 M&#039; F2 U &lt;br /&gt;
* F2 M F2 U&#039; M2 U B2 M B2 &lt;br /&gt;
* F&#039; B&#039; R E S R S&#039; R2 E&#039; F B &lt;br /&gt;
* B&#039; R&#039; B F2 U&#039; R&#039; U&#039; R&#039; F R2 U F2 R &lt;br /&gt;
* B L B&#039; F2 U L U L F&#039; L2 U&#039; F2 L&#039; &lt;br /&gt;
* S U S2 U&#039; L U L S L&#039; U&#039; L&#039; &lt;br /&gt;
* S&#039; U&#039; S2 U R&#039; U&#039; R&#039; S&#039; R U R&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;P&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 31 ===&lt;br /&gt;
[[Image:o31.gif]]&lt;br /&gt;
&lt;br /&gt;
* L&#039; d&#039; R d L U&#039; L&#039; B&#039; L&lt;br /&gt;
* S&#039; L&#039; U&#039; L U L F&#039; L&#039; f&lt;br /&gt;
* y x U R&#039; U&#039; l U R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y2 R&#039; U&#039; F U R U&#039; R&#039; F&#039; R&lt;br /&gt;
* L&#039; U&#039; B U L U&#039; L&#039; B&#039; L&lt;br /&gt;
&lt;br /&gt;
=== OLL 32 ===&lt;br /&gt;
[[Image:o32.gif]]&lt;br /&gt;
&lt;br /&gt;
* R d L&#039; d&#039; R&#039; U R B R&#039;&lt;br /&gt;
* S R U R&#039; U&#039; R&#039; F R f&#039;&lt;br /&gt;
* y x&#039; U&#039; R U l&#039; U&#039; R&#039; U&#039; R U R&#039; U R&lt;br /&gt;
* R U B&#039; U&#039; R&#039; U R B R&#039;&lt;br /&gt;
* y2 F U R U&#039; F&#039; r U R&#039; U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 43 ===&lt;br /&gt;
[[Image:o43.gif]]&lt;br /&gt;
&lt;br /&gt;
* f&#039; L&#039; U&#039; L U f&lt;br /&gt;
* B&#039; U&#039; R&#039; U R B&lt;br /&gt;
* y2 F&#039; U&#039; L&#039; U L F&lt;br /&gt;
* U R U R&#039; F&#039; L&#039; U&#039; L F&lt;br /&gt;
* y2 R&#039; U&#039; F R&#039; F&#039; R U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 44 ===&lt;br /&gt;
[[Image:o44.gif]]&lt;br /&gt;
&lt;br /&gt;
* f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y R U y&#039; L U&#039; L&#039; B&#039;&lt;br /&gt;
* y F U R&#039; F R F&#039; U&#039; F&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;W&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 36 ===&lt;br /&gt;
[[Image:o36.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U R B&#039; R&#039; B&lt;br /&gt;
* y2 (L&#039; U&#039; L U&#039;) (L&#039; U L U) (L F&#039; L&#039; F)&lt;br /&gt;
* (R U R&#039; U&#039;) y (L&#039; U2&#039; L U) y&#039; (R U R&#039;)&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 38 ===&lt;br /&gt;
[[Image:o38.gif]]&lt;br /&gt;
&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U&#039; L&#039; B L B&#039;&lt;br /&gt;
* y2 R U R&#039; U R U&#039; R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* (L&#039; U&#039; L U) y&#039; (R U2 R&#039; U&#039;) y (L&#039; U&#039; L)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;L&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 53 ===&lt;br /&gt;
[[Image:o53.gif]]&lt;br /&gt;
&lt;br /&gt;
* l&#039; U&#039; L U&#039; L&#039; U L U&#039; L&#039; U2 l&lt;br /&gt;
* l U2 L U L&#039; U&#039; L U L&#039; U&#039; l&#039;&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 r&lt;br /&gt;
* y&#039; r&#039; U2 R U R&#039; U&#039; R U R&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 54 ===&lt;br /&gt;
[[Image:o54.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U R U&#039; R&#039; U R U2 r&#039;&lt;br /&gt;
* y&#039; r U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* y2 l U L&#039; U L U&#039; L&#039; U L U2 l&#039; &lt;br /&gt;
* y l&#039; U2 L U L&#039; U&#039; L U L&#039; U&#039; l&lt;br /&gt;
&lt;br /&gt;
=== OLL 50 ===&lt;br /&gt;
[[Image:o50.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R2 B&#039; R2 F&#039; R2 B R&#039;&lt;br /&gt;
* r&#039; U r2 U&#039; r2&#039; U&#039; r2 U r&#039;&lt;br /&gt;
* R B&#039; R B R2&#039; U2 F R&#039; F&#039; R&lt;br /&gt;
* y2 l&#039; U l2 U&#039; l2 U&#039; l2 U l&#039;&lt;br /&gt;
* r&#039; U2 R2&#039; U R2 U rR U2 R&#039;&lt;br /&gt;
* y&#039; [R U2 R&#039; U&#039; R U&#039; R&#039;] [F R U R&#039; U&#039; F&#039;]&lt;br /&gt;
* (y x&#039;) U&#039; r U2 L&#039; U2 r&#039; U2 L U&#039; (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 47 ===&lt;br /&gt;
[[Image:o47.gif]]&lt;br /&gt;
&lt;br /&gt;
* F&#039; L&#039; U&#039; L U L&#039; U&#039; L U F&lt;br /&gt;
* R&#039; U&#039; x R&#039; U R U&#039; R&#039; U R U&#039; x&#039; U R&lt;br /&gt;
* b&#039; U&#039; R&#039; U R U&#039; R&#039; U R b&lt;br /&gt;
&lt;br /&gt;
=== OLL 48 ===&lt;br /&gt;
[[Image:o48.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 f U R U&#039; R&#039; U R U&#039; R&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 49 ===&lt;br /&gt;
[[Image:o49.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R2 F R2 B R2 F&#039; R&lt;br /&gt;
* l U&#039; l2&#039; U l2 U l2&#039; U&#039; l&lt;br /&gt;
* y2 r U&#039; r2 U r2 U r2 U&#039; r&lt;br /&gt;
* y2 R&#039; F R&#039; F&#039; R2 d2 y&#039; R&#039; F R F&#039;&lt;br /&gt;
* y2 r U2 R2&#039; U&#039; R2 U&#039; r&#039;R&#039; U2 R&lt;br /&gt;
* (y&#039; x&#039;) U l&#039; U2 R U2 l U2 R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;C&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 34 ===&lt;br /&gt;
[[Image:o34.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; x D&#039; R&#039; U R E&#039; z&#039;&lt;br /&gt;
* y2 R&#039; U&#039; R U y&#039;x&#039; R U L&#039; U&#039; M&#039;&lt;br /&gt;
* R U R&#039; U&#039; y&#039; Rw&#039; U&#039; R U M&#039;&lt;br /&gt;
* (R U R&#039; U&#039;) B&#039; (R U R&#039; F&#039;) B&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&lt;br /&gt;
* R U R2 U&#039; R&#039; F R U R U&#039; F&#039;&lt;br /&gt;
* y2 F R U R&#039; U&#039; R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 46 ===&lt;br /&gt;
[[Image:o46.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R&#039; F R F&#039; U R&lt;br /&gt;
* R&#039; U&#039; l&#039; U l F&#039; U R&lt;br /&gt;
* y F U F Lw&#039; U&#039; Lw U&#039; F&#039;&lt;br /&gt;
* R U l U&#039; R&#039; U F&#039; l&#039;&lt;br /&gt;
* y2 L F U&#039; R U R&#039; F&#039; L&#039;&lt;br /&gt;
* R U R&#039;2 U&#039; R&#039; F R U R U&#039; F&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;T&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 33 ===&lt;br /&gt;
[[Image:o33.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R&#039; U&#039; R U l U&#039; R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 45 ===&lt;br /&gt;
[[Image:o45.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* Fw&#039; U&#039; L&#039; U L Fw&lt;br /&gt;
* y2 Fw U R U&#039; R&#039; Fw&#039;&lt;br /&gt;
* y2 F&#039; L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;I&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 55 ===&lt;br /&gt;
[[Image:o55.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2 U&#039; R U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* R&#039; U2 R2 U R&#039; U R U2 y Lw&#039; U&#039; Lw&lt;br /&gt;
* Rw U2 R2 F R F&#039; U2 Rw&#039; F R F&#039;&lt;br /&gt;
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)&lt;br /&gt;
::(y) Rr U2 Rra&#039; U2 Rr U2 Rr&#039; U2 Rra U2 Rr&#039;&lt;br /&gt;
* y R&#039; F R U R&#039; F R U&#039; R&#039; F&#039; R U M&#039; U&#039; M&lt;br /&gt;
* L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; M&#039; U M&lt;br /&gt;
* (L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; L)(R&#039; F R) L&#039;&lt;br /&gt;
* R d&#039; R2 D R&#039; U2 R D&#039; R2 d R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
* Rw U Rw&#039; U R U&#039; R&#039; U R U&#039; R&#039; Rw U&#039; Rw&#039; &lt;br /&gt;
* Rw&#039; U&#039; Rw U&#039; R&#039; U R U&#039; R&#039; U R Rw&#039; U Rw&lt;br /&gt;
* L F L&#039; U R U&#039; R&#039; U R U&#039; R&#039; L F&#039; L&#039;&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; Rw U R&#039; U&#039; Rw&#039;&lt;br /&gt;
* R B R&#039; U L U&#039; L&#039; U L U&#039; L&#039; R B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 51 ===&lt;br /&gt;
[[Image:o51.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 f R U R&#039; U&#039; R U R&#039; U&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 52 ===&lt;br /&gt;
[[Image:o52.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; d R&#039; U R B&lt;br /&gt;
* R U R&#039; U R d&#039; R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 R&#039; U&#039; x U R&#039; U&#039; R U R&#039; U&#039; R x&#039; U R &lt;br /&gt;
* (R U R&#039; U R U2 R&#039;) U (F U R U&#039; R&#039; F&#039;)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Square shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 5 ===&lt;br /&gt;
[[Image:o5.gif]]&lt;br /&gt;
&lt;br /&gt;
* (r&#039; U2) (R U R&#039; U r)&lt;br /&gt;
* y2 l&#039; U2 L U L&#039; U l&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 6 ===&lt;br /&gt;
[[Image:o6.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 (r U2) (R&#039; U&#039; R U&#039;) r&#039;&lt;br /&gt;
* l U2 L&#039; U&#039; L U&#039; l&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Big lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 39 ===&lt;br /&gt;
[[Image:o39.gif]]&lt;br /&gt;
&lt;br /&gt;
* L F&#039; L&#039; U&#039; L U F U&#039; L&#039;&lt;br /&gt;
* y2 f&#039; L F L&#039; U&#039; L&#039; U L S&lt;br /&gt;
* y2 R B&#039; R&#039; U&#039; R U B U&#039; R&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; x R&#039; U&#039; R U x&#039; U F&#039; Lw&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 40 ===&lt;br /&gt;
[[Image:o40.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; U&#039; F&#039; U R&lt;br /&gt;
* y2 f R&#039; F&#039; R U R U&#039; R&#039; S&#039;&lt;br /&gt;
* y2 L&#039; B L U L&#039; U&#039; B&#039; U L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Small lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 7 ===&lt;br /&gt;
[[Image:o7.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U R U2 Rw&#039;&lt;br /&gt;
* F&#039; R&#039; F R U2 R U2 R&#039;&lt;br /&gt;
* L&#039; U2 L U2 L F&#039; L&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 8 ===&lt;br /&gt;
[[Image:o8.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* R U2 R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 11 ===&lt;br /&gt;
[[Image:o11.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R2 U R&#039; U R U2 R&#039; U r R&#039;&lt;br /&gt;
* y2 r U R&#039; U R&#039; F R F&#039; R U2 r&#039;&lt;br /&gt;
* y F&#039; L&#039; U&#039; L U F&#039; Y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R U R&#039; y&#039; U&#039; R&#039; U&#039; R y U R&#039; F&#039; R U R U&#039; R&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 12 ===&lt;br /&gt;
[[Image:o12.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y F R U R2 F R y&#039; R2 U R U2 R&#039;&lt;br /&gt;
* y&#039; r R2 U&#039; R U&#039; R&#039; U2 R U&#039; R r&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Fish shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 9 ===&lt;br /&gt;
[[Image:o9.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R&#039; U&#039; R y&#039; x&#039; R U&#039; R&#039; F R U R&#039; x&lt;br /&gt;
* y&#039; R&#039; U&#039; R x U&#039; R&#039; U y R U y&#039; R U&#039; x&#039;&lt;br /&gt;
* y&#039; R U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; R y Rw U&#039; Rw&#039; U Rw U Rw&lt;br /&gt;
&lt;br /&gt;
=== OLL 10 ===&lt;br /&gt;
[[Image:o10.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R U R&#039; y R&#039; F R U&#039; R&#039; F&#039; R&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; y&#039; R&#039;w U Rw U&#039; R&#039;w U&#039; Rw&lt;br /&gt;
* y&#039; R&#039; U&#039; R U R B&#039; R2 U&#039; R U B&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 35 ===&lt;br /&gt;
[[Image:o35.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 (R Lw) U&#039; R&#039; U Lw&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
=== OLL 37 ===&lt;br /&gt;
[[Image:o37.gif]]&lt;br /&gt;
&lt;br /&gt;
* x&#039; U&#039; R U l&#039; U&#039; R&#039; U R&lt;br /&gt;
* l U&#039; R&#039; U y&#039; R U R&#039; U&#039; z&#039;&lt;br /&gt;
* y F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y R&#039; F R F&#039; U&#039; F&#039; U F&lt;br /&gt;
* y F R&#039; F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* R B&#039; R&#039; B U B U&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Knight move shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 13 ===&lt;br /&gt;
[[Image:o13.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* F U R U2 R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 f R U R2 U&#039; R&#039; U R U&#039; f&#039;&lt;br /&gt;
* r U&#039; r&#039; U&#039; r U r&#039; y&#039; R&#039; U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 14 ===&lt;br /&gt;
[[Image:o14.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; F&#039; R y&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; y&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 B&#039; U&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 Rw&#039; U Rw U Rw&#039; U&#039; Rw y R U&#039; R&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 15 ===&lt;br /&gt;
[[Image:o15.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F&#039; R L&#039; U&#039; L U R&#039; F R&lt;br /&gt;
* r&#039; U&#039; r R&#039; U&#039; R U r&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 16 ===&lt;br /&gt;
[[Image:o16.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r U r&#039; R U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 r U M U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 F&#039; R U R&#039; U&#039; R&#039; F R U&#039; y&#039; R&#039; U R U y R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Awkward shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 29 ===&lt;br /&gt;
[[Image:o29.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; d&#039; L&#039; U&#039; L&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; U&#039; y&#039; R&#039; U&#039; R&lt;br /&gt;
* y2 R2&#039; U&#039; R F R&#039; U R2&#039; U&#039; R&#039; F&#039; R&lt;br /&gt;
* y (R U R&#039; U&#039;) (R U&#039; R&#039; F&#039;) U&#039; (F R U R&#039;)&lt;br /&gt;
* y R&#039; U2 R2 U R&#039; U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* M U (R U R&#039; U&#039;) (R&#039; F R F&#039;) M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F2&lt;br /&gt;
* l U&#039; R&#039; U l&#039; U2 d L U L&#039;&lt;br /&gt;
* f R U R2 U&#039; R&#039; U R2 U&#039; R&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; x&#039; U R&#039; D&#039; R U&#039; R&#039;&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B R&#039;&lt;br /&gt;
* M U&#039; (L&#039; U&#039; L U) (L F&#039; L&#039; F) M&#039;&lt;br /&gt;
* y2 M&#039; U&#039; (R&#039; U&#039; R U) x (R U&#039; R&#039; U) M x&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 41 ===&lt;br /&gt;
[[Image:o41.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R&#039; U2 R U y R U&#039; R&#039; y&#039; U&#039; R&#039;&lt;br /&gt;
* y R U2&#039; R&#039; U&#039; R U&#039; R2 (y) L&#039; U&#039; L U F&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y2 R U R&#039; U R U2 R&#039; F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 Rw R2 y&#039; R&#039; U&#039; R U y R U&#039; M&lt;br /&gt;
* y2 R2 L z&#039; l&#039; U&#039; R d L U&#039; L l&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw&#039; R2 y R U R&#039; U&#039; y&#039; R&#039; U M&#039;&lt;br /&gt;
* R&#039; U&#039; R U F R U R&#039; U&#039; R&#039; U R U&#039; F&#039;&lt;br /&gt;
* L&#039; U L U2 L&#039; U&#039; y&#039; L&#039; U L U F&lt;br /&gt;
* y R&#039; U2 R U R&#039; U R2 y R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y (R&#039;F R F&#039;)*2 R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z Rw U L&#039; Dw&#039; R&#039; U R&#039; Rw&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==All Corners Oriented==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 28 ===&lt;br /&gt;
[[Image:o28.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U&#039; Rw&#039; R U R U&#039; R&#039;&lt;br /&gt;
* y&#039; Rw&#039; U&#039; R U M&#039; U&#039; R&#039; U R&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; U2 F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* F R U R&#039; U&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&lt;br /&gt;
* y M U&#039; M&#039; U2 M U&#039; M&#039;&lt;br /&gt;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* y&#039; M U M2 U M&#039; U2 M U M &lt;br /&gt;
* M U M U M&#039; U&#039; M U&#039; M U M &lt;br /&gt;
* M U M&#039; U M U2 M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* y M U&#039; M U&#039; M&#039; U M U M U&#039; M &lt;br /&gt;
* y2 M U&#039; M2 U&#039; M&#039; U2 M U&#039; M &lt;br /&gt;
* y&#039; M U M&#039; U M U M&#039; U M U M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; M U M U M U&#039; M U&#039; M&#039; U M2&lt;br /&gt;
* y&#039; M2 U M&#039; U2 M U M U M U2 M&#039; U M&lt;br /&gt;
* y2 M&#039; U M U&#039; M U&#039; M U M U M&#039; U&#039; M2 &lt;br /&gt;
* M U&#039; M2 U2 M&#039; U&#039; M U2 M U&#039; M U&#039; M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; F2 M2 U&#039; M U F2 U M2 &lt;br /&gt;
* y2 M&#039; U F2 M2 U M U&#039; F2 U&#039; M2 &lt;br /&gt;
* R&#039; F R S R&#039; F&#039; R S&#039; &lt;br /&gt;
* L2 S U&#039; S&#039; U L2 U S U S&#039; &lt;br /&gt;
* y L F&#039; L&#039; S&#039; L F L&#039;S &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 57 ===&lt;br /&gt;
[[Image:o57.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; Rw R&#039; U R U&#039; Rw&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* R&#039; U&#039; R U M U&#039; R&#039; U Rw&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M&#039; U&#039; M&#039; U2 M U&#039; M U&#039; M&lt;br /&gt;
* M U M&#039; U&#039; M U M&#039; U M U2 M&#039;&lt;br /&gt;
* M&#039; U&#039; M U M&#039; U&#039; M U&#039; M&#039; U2 M&lt;br /&gt;
* M U M2 U2 M U M U2 M U&#039; M&#039; U&#039; M&#039;&lt;br /&gt;
* M&#039; U&#039; M2 U2 M&#039; U&#039; M&#039; U2 M&#039; U M U M&lt;br /&gt;
* M2 U&#039; M U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U M &lt;br /&gt;
* M2 U&#039; M&#039; U M U M U&#039; M U&#039; M U M&#039; &lt;br /&gt;
* y M&#039; U M&#039; U M&#039; U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* y M&#039; U M U M&#039; U M U&#039; M&#039; U&#039; M&lt;br /&gt;
* y M&#039; U&#039; M U&#039; M&#039; U&#039; M U M&#039; U M&lt;br /&gt;
* y M U&#039; M&#039; U&#039; M U&#039; M’ U M U M&#039;&lt;br /&gt;
* y M U M&#039; U M U M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* M U M&#039; U&#039; F2 M U M&#039; U&#039; F2 &lt;br /&gt;
* M&#039; U&#039; M U F2 M&#039; U&#039; M U F2&lt;br /&gt;
* M2 U&#039; F2 U&#039; M&#039; U M2 F2 U M&lt;br /&gt;
* F M&#039; F U M2 U2 M2 U F&#039; M F&#039; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[OLL (2x2x2)]]&lt;br /&gt;
* [[2-Look OLL]]&lt;br /&gt;
* [[PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5810</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5810"/>
		<updated>2009-10-29T20:38:58Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* OLL 2 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].&lt;br /&gt;
&lt;br /&gt;
Parentheses in an algorithm signify the triggers of the algorithm.  For example, [(R U R&#039;) (L&#039; U L)] shows two triggers in the algorithm, even though it is the same as [R U R&#039; L&#039; U L].&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All edges flipped correctly==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;OCLL&#039;&#039;&#039; is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. &lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== OLL 21 ===&lt;br /&gt;
[[Image:o21.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
* y R U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y F (R U R&#039; U&#039;) (R U R&#039; U&#039;) (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 R&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U L U2 L&#039;&lt;br /&gt;
* y L&#039; U2 L U L&#039; U&#039; L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 22 ===&lt;br /&gt;
[[Image:o22.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; U&#039; R2 U&#039; R2&#039; U2 R&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 L&#039; U2 L2 U L2 U L2 U2 L&#039;&lt;br /&gt;
* R U2 R2 U&#039; R&#039; U R U&#039; R U&#039; R&#039; y M&#039; U2 M&lt;br /&gt;
* R&#039; U L U&#039; R U&#039; L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* y2 L U&#039; R&#039; U L&#039; U R U R&#039; U R&lt;br /&gt;
* y2 L&#039; U R U&#039; L U&#039; R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 23 ===&lt;br /&gt;
[[Image:o23.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 D&#039; R U2 R&#039; D R U2 R&lt;br /&gt;
* R&#039; U2 R F U&#039; R&#039; U&#039; R U F&#039;&lt;br /&gt;
* l2 U&#039; R D2 R&#039; U R D2 R&lt;br /&gt;
* l2&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&lt;br /&gt;
* y&#039; R U R&#039; U&#039; (R U&#039; R&#039; U2)(R U&#039; R&#039; U2) R U R&#039;&lt;br /&gt;
* y2 R&#039; F2 R U2 R U2 R&#039; F2 R U2 R&#039;&lt;br /&gt;
* y2 R2 D R&#039; U2 R D&#039; R&#039; U2 R&#039;&lt;br /&gt;
* (R&#039; U&#039; R U) R&#039; U2 R2 U (R&#039; U R U2 R)&lt;br /&gt;
&lt;br /&gt;
=== OLL 24 ===&lt;br /&gt;
[[Image:o24.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039; x&#039;&lt;br /&gt;
* r U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* y&#039; F R U R&#039; U&#039; R U&#039; R U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y&#039; R U R2&#039; U&#039; R2 U&#039; R2&#039; U2&#039; R U&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R U&#039; R&#039; (U2 R U R&#039;) (U2 R U R&#039;) (U R U&#039; R&#039;)&lt;br /&gt;
* y  x D&#039; R&#039; U R D R&#039; U&#039; R x&#039;&lt;br /&gt;
* y  x&#039; U&#039; R&#039; D R U R&#039; D&#039; R x&lt;br /&gt;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
* y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R B&#039; R&#039; F&#039; R B&lt;br /&gt;
* y&#039; F&#039; r U R&#039; U&#039; r&#039; F R&lt;br /&gt;
* y&#039; x U R&#039; U&#039; L U R U&#039; r&#039;&lt;br /&gt;
* y R&#039; F&#039; L&#039; F R F&#039; L F&lt;br /&gt;
* y R&#039; U&#039; (R U R&#039; F&#039;) (R U R&#039; U&#039;) (R&#039; F R2)&lt;br /&gt;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#039;&lt;br /&gt;
* y2 F R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
* y2 l&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* y2 x&#039; L&#039; U&#039; R&#039; U L U&#039; R U&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
* x&#039; R&#039; D R U&#039; R&#039; D&#039; R U x&lt;br /&gt;
* x R&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* D&#039; R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; L U x&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R U R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 26 ===&lt;br /&gt;
[[Image:o26.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R&#039; U2 R&lt;br /&gt;
* y&#039; R U2 R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* L U2 L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&lt;br /&gt;
* L&#039; U R U&#039; L U R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 27 ===&lt;br /&gt;
[[Image:o27.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y L&#039; U2 L U L&#039; UL&lt;br /&gt;
* y2 L U L&#039; U L U2 L&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U&#039; L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==No edges flipped correctly==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 1 === &lt;br /&gt;
[[Image:o1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (R U2) (R2&#039; F R F&#039; U2&#039;) (R&#039; F R F&#039;)&lt;br /&gt;
* R U B&#039; R B R2 U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 2 === &lt;br /&gt;
[[Image:o2.gif]]&lt;br /&gt;
&lt;br /&gt;
* F (R U R&#039; U&#039;) F&#039; f (R U R&#039; U&#039;) f&#039;&lt;br /&gt;
* F&#039; L&#039; U&#039; L U F f&#039; L&#039; U&#039; L U f&lt;br /&gt;
&lt;br /&gt;
=== OLL 3 ===&lt;br /&gt;
[[Image:o3.gif]]&lt;br /&gt;
&lt;br /&gt;
* y f (R U R&#039; U&#039;) f&#039; U&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 r&#039; R2 U R&#039; U r U2 r&#039; U R&#039; r&lt;br /&gt;
* y2 M U Lw&#039; U2 Lw U L&#039; U L M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 4 ===&lt;br /&gt;
[[Image:o4.gif]]&lt;br /&gt;
&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; U F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
* y r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
* y M U&#039; Rw U2&#039; Rw&#039; U&#039; R U&#039; R&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 17 ===&lt;br /&gt;
[[Image:o17.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* Fw R U R&#039; U&#039; y&#039; M U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* F R&#039; F&#039; l R L&#039; U R U&#039; R&#039; U&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 18 ===&lt;br /&gt;
[[Image:o18.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; r U R&#039; U R U2 r2&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* y2 F R U R&#039; d R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* R U2 R2 F R F&#039; U2 M&#039; U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 19 ===&lt;br /&gt;
[[Image:o19.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; U2 R U R&#039; U r2 U2&#039; R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* R&#039; U2 F R U R&#039; U&#039; y&#039; R2 U2 R B&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 20 ===&lt;br /&gt;
[[Image:o20.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r2 R2&#039; U R U&#039; r&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; M2 U R U&#039; r&#039;&lt;br /&gt;
* Rw U R&#039; U&#039; M2 (U R U&#039; R&#039;) U&#039; M&#039;&lt;br /&gt;
* M&#039; U2 M&#039; U2 M&#039; U M U2 M U2 M&lt;br /&gt;
* M&#039; U2 M U2 M&#039; U M U2 M&#039; U2 M&lt;br /&gt;
* M U2 M&#039; U2 M U M&#039; U2 M U2 M&#039; U&#039; &lt;br /&gt;
* M U2 M U2 M U M&#039; U2 M&#039; U2 M&#039; U&#039;&lt;br /&gt;
* M&#039; U M&#039; U M&#039; U M&#039; U M U M U M U M U&lt;br /&gt;
* M&#039; U M U M&#039; U2 M&#039; U M&#039; U M U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M U&#039; M&#039; U2 M&#039; U&#039; M&#039; U&#039; M U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* M&#039; U&#039; M U2 M&#039; U&#039; M2 U M&#039; U2 M U M&#039;&lt;br /&gt;
* M d r2 U M&#039; U2 M U r2 S&#039;&lt;br /&gt;
* M U M F R&#039;F&#039; M2 F R F&#039; U&#039;&lt;br /&gt;
* R2 U2 R&#039; F2 U2 R2 F&#039; R2 U2 F2 R U2 R2 U&#039; &lt;br /&gt;
* R B U B&#039; R&#039; F2 B D&#039; L&#039; D B&#039;F2 &lt;br /&gt;
* L&#039; R&#039; F&#039; U2 L2 U2 L2 U2 L2 F L R &lt;br /&gt;
* F U2 F&#039; U L&#039; U&#039; B&#039; R&#039; U2 R U&#039; B U L &lt;br /&gt;
* F2 M F2 M2 U&#039; M2 F2 M&#039; F2 U &lt;br /&gt;
* F2 M F2 U&#039; M2 U B2 M B2 &lt;br /&gt;
* F&#039; B&#039; R E S R S&#039; R2 E&#039; F B &lt;br /&gt;
* B&#039; R&#039; B F2 U&#039; R&#039; U&#039; R&#039; F R2 U F2 R &lt;br /&gt;
* B L B&#039; F2 U L U L F&#039; L2 U&#039; F2 L&#039; &lt;br /&gt;
* S U S2 U&#039; L U L S L&#039; U&#039; L&#039; &lt;br /&gt;
* S&#039; U&#039; S2 U R&#039; U&#039; R&#039; S&#039; R U R&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;P&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 31 ===&lt;br /&gt;
[[Image:o31.gif]]&lt;br /&gt;
&lt;br /&gt;
* L&#039; d&#039; R d L U&#039; L&#039; B&#039; L&lt;br /&gt;
* S&#039; L&#039; U&#039; L U L F&#039; L&#039; f&lt;br /&gt;
* y x U R&#039; U&#039; l U R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y2 R&#039; U&#039; F U R U&#039; R&#039; F&#039; R&lt;br /&gt;
* L&#039; U&#039; B U L U&#039; L&#039; B&#039; L&lt;br /&gt;
&lt;br /&gt;
=== OLL 32 ===&lt;br /&gt;
[[Image:o32.gif]]&lt;br /&gt;
&lt;br /&gt;
* R d L&#039; d&#039; R&#039; U R B R&#039;&lt;br /&gt;
* S R U R&#039; U&#039; R&#039; F R f&#039;&lt;br /&gt;
* y x&#039; U&#039; R U l&#039; U&#039; R&#039; U&#039; R U R&#039; U R&lt;br /&gt;
* R U B&#039; U&#039; R&#039; U R B R&#039;&lt;br /&gt;
* y2 F U R U&#039; F&#039; r U R&#039; U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 43 ===&lt;br /&gt;
[[Image:o43.gif]]&lt;br /&gt;
&lt;br /&gt;
* f&#039; L&#039; U&#039; L U f&lt;br /&gt;
* B&#039; U&#039; R&#039; U R B&lt;br /&gt;
* y2 F&#039; U&#039; L&#039; U L F&lt;br /&gt;
* U R U R&#039; F&#039; L&#039; U&#039; L F&lt;br /&gt;
* y2 R&#039; U&#039; F R&#039; F&#039; R U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 44 ===&lt;br /&gt;
[[Image:o44.gif]]&lt;br /&gt;
&lt;br /&gt;
* f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y R U y&#039; L U&#039; L&#039; B&#039;&lt;br /&gt;
* y F U R&#039; F R F&#039; U&#039; F&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;W&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 36 ===&lt;br /&gt;
[[Image:o36.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U R B&#039; R&#039; B&lt;br /&gt;
* y2 (L&#039; U&#039; L U&#039;) (L&#039; U L U) (L F&#039; L&#039; F)&lt;br /&gt;
* (R U R&#039; U&#039;) y (L&#039; U2&#039; L U) y&#039; (R U R&#039;)&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 38 ===&lt;br /&gt;
[[Image:o38.gif]]&lt;br /&gt;
&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U&#039; L&#039; B L B&#039;&lt;br /&gt;
* y2 R U R&#039; U R U&#039; R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* (L&#039; U&#039; L U) y&#039; (R U2 R&#039; U&#039;) y (L&#039; U&#039; L)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;L&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 53 ===&lt;br /&gt;
[[Image:o53.gif]]&lt;br /&gt;
&lt;br /&gt;
* l&#039; U&#039; L U&#039; L&#039; U L U&#039; L&#039; U2 l&lt;br /&gt;
* l U2 L U L&#039; U&#039; L U L&#039; U&#039; l&#039;&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 r&lt;br /&gt;
* y&#039; r&#039; U2 R U R&#039; U&#039; R U R&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 54 ===&lt;br /&gt;
[[Image:o54.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U R U&#039; R&#039; U R U2 r&#039;&lt;br /&gt;
* y&#039; r U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* y2 l U L&#039; U L U&#039; L&#039; U L U2 l&#039; &lt;br /&gt;
* y l&#039; U2 L U L&#039; U&#039; L U L&#039; U&#039; l&lt;br /&gt;
&lt;br /&gt;
=== OLL 50 ===&lt;br /&gt;
[[Image:o50.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R2 B&#039; R2 F&#039; R2 B R&#039;&lt;br /&gt;
* r&#039; U r2 U&#039; r2&#039; U&#039; r2 U r&#039;&lt;br /&gt;
* R B&#039; R B R2&#039; U2 F R&#039; F&#039; R&lt;br /&gt;
* y2 l&#039; U l2 U&#039; l2 U&#039; l2 U l&#039;&lt;br /&gt;
* r&#039; U2 R2&#039; U R2 U rR U2 R&#039;&lt;br /&gt;
* y&#039; [R U2 R&#039; U&#039; R U&#039; R&#039;] [F R U R&#039; U&#039; F&#039;]&lt;br /&gt;
* (y x&#039;) U&#039; r U2 L&#039; U2 r&#039; U2 L U&#039; (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 47 ===&lt;br /&gt;
[[Image:o47.gif]]&lt;br /&gt;
&lt;br /&gt;
* F&#039; L&#039; U&#039; L U L&#039; U&#039; L U F&lt;br /&gt;
* R&#039; U&#039; x R&#039; U R U&#039; R&#039; U R U&#039; x&#039; U R&lt;br /&gt;
* b&#039; U&#039; R&#039; U R U&#039; R&#039; U R b&lt;br /&gt;
&lt;br /&gt;
=== OLL 48 ===&lt;br /&gt;
[[Image:o48.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 f U R U&#039; R&#039; U R U&#039; R&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 49 ===&lt;br /&gt;
[[Image:o49.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R2 F R2 B R2 F&#039; R&lt;br /&gt;
* l U&#039; l2&#039; U l2 U l2&#039; U&#039; l&lt;br /&gt;
* y2 r U&#039; r2 U r2 U r2 U&#039; r&lt;br /&gt;
* y2 R&#039; F R&#039; F&#039; R2 d2 y&#039; R&#039; F R F&#039;&lt;br /&gt;
* y2 r U2 R2&#039; U&#039; R2 U&#039; r&#039;R&#039; U2 R&lt;br /&gt;
* (y&#039; x&#039;) U l&#039; U2 R U2 l U2 R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;C&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 34 ===&lt;br /&gt;
[[Image:o34.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; x D&#039; R&#039; U R E&#039; z&#039;&lt;br /&gt;
* y2 R&#039; U&#039; R U y&#039;x&#039; R U L&#039; U&#039; M&#039;&lt;br /&gt;
* R U R&#039; U&#039; y&#039; Rw&#039; U&#039; R U M&#039;&lt;br /&gt;
* (R U R&#039; U&#039;) B&#039; (R U R&#039; F&#039;) B&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&lt;br /&gt;
* R U R2 U&#039; R&#039; F R U R U&#039; F&#039;&lt;br /&gt;
* y2 F R U R&#039; U&#039; R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 46 ===&lt;br /&gt;
[[Image:o46.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R&#039; F R F&#039; U R&lt;br /&gt;
* R&#039; U&#039; l&#039; U l F&#039; U R&lt;br /&gt;
* y F U F Lw&#039; U&#039; Lw U&#039; F&#039;&lt;br /&gt;
* R U l U&#039; R&#039; U F&#039; l&#039;&lt;br /&gt;
* y2 L F U&#039; R U R&#039; F&#039; L&#039;&lt;br /&gt;
* R U R&#039;2 U&#039; R&#039; F R U R U&#039; F&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;T&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 33 ===&lt;br /&gt;
[[Image:o33.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R&#039; U&#039; R U l U&#039; R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 45 ===&lt;br /&gt;
[[Image:o45.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* Fw&#039; U&#039; L&#039; U L Fw&lt;br /&gt;
* y2 Fw U R U&#039; R&#039; Fw&#039;&lt;br /&gt;
* y2 F&#039; L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;I&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 55 ===&lt;br /&gt;
[[Image:o55.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2 U&#039; R U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* R&#039; U2 R2 U R&#039; U R U2 y Lw&#039; U&#039; Lw&lt;br /&gt;
* Rw U2 R2 F R F&#039; U2 Rw&#039; F R F&#039;&lt;br /&gt;
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)&lt;br /&gt;
::(y) Rr U2 Rra&#039; U2 Rr U2 Rr&#039; U2 Rra U2 Rr&#039;&lt;br /&gt;
* y R&#039; F R U R&#039; F R U&#039; R&#039; F&#039; R U M&#039; U&#039; M&lt;br /&gt;
* L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; M&#039; U M&lt;br /&gt;
* (L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; L)(R&#039; F R) L&#039;&lt;br /&gt;
* R d&#039; R2 D R&#039; U2 R D&#039; R2 d R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
* Rw U Rw&#039; U R U&#039; R&#039; U R U&#039; R&#039; Rw U&#039; Rw&#039; &lt;br /&gt;
* Rw&#039; U&#039; Rw U&#039; R&#039; U R U&#039; R&#039; U R Rw&#039; U Rw&lt;br /&gt;
* L F L&#039; U R U&#039; R&#039; U R U&#039; R&#039; L F&#039; L&#039;&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; Rw U R&#039; U&#039; Rw&#039;&lt;br /&gt;
* R B R&#039; U L U&#039; L&#039; U L U&#039; L&#039; R B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 51 ===&lt;br /&gt;
[[Image:o51.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 f R U R&#039; U&#039; R U R&#039; U&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 52 ===&lt;br /&gt;
[[Image:o52.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; d R&#039; U R B&lt;br /&gt;
* R U R&#039; U R d&#039; R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 R&#039; U&#039; x U R&#039; U&#039; R U R&#039; U&#039; R x&#039; U R &lt;br /&gt;
* (R U R&#039; U R U2 R&#039;) U (F U R U&#039; R&#039; F&#039;)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Square shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 5 ===&lt;br /&gt;
[[Image:o5.gif]]&lt;br /&gt;
&lt;br /&gt;
* (r&#039; U2) (R U R&#039; U r)&lt;br /&gt;
* y2 l&#039; U2 L U L&#039; U l&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 6 ===&lt;br /&gt;
[[Image:o6.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 (r U2) (R&#039; U&#039; R U&#039;) r&#039;&lt;br /&gt;
* l U2 L&#039; U&#039; L U&#039; l&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Big lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 39 ===&lt;br /&gt;
[[Image:o39.gif]]&lt;br /&gt;
&lt;br /&gt;
* L F&#039; L&#039; U&#039; L U F U&#039; L&#039;&lt;br /&gt;
* y2 f&#039; L F L&#039; U&#039; L&#039; U L S&lt;br /&gt;
* y2 R B&#039; R&#039; U&#039; R U B U&#039; R&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; x R&#039; U&#039; R U x&#039; U F&#039; Lw&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 40 ===&lt;br /&gt;
[[Image:o40.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; U&#039; F&#039; U R&lt;br /&gt;
* y2 f R&#039; F&#039; R U R U&#039; R&#039; S&#039;&lt;br /&gt;
* y2 L&#039; B L U L&#039; U&#039; B&#039; U L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Small lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 7 ===&lt;br /&gt;
[[Image:o7.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U R U2 Rw&#039;&lt;br /&gt;
* F&#039; R&#039; F R U2 R U2 R&#039;&lt;br /&gt;
* L&#039; U2 L U2 L F&#039; L&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 8 ===&lt;br /&gt;
[[Image:o8.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* R U2 R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 11 ===&lt;br /&gt;
[[Image:o11.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R2 U R&#039; U R U2 R&#039; U r R&#039;&lt;br /&gt;
* y2 r U R&#039; U R&#039; F R F&#039; R U2 r&#039;&lt;br /&gt;
* y F&#039; L&#039; U&#039; L U F&#039; Y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R U R&#039; y&#039; U&#039; R&#039; U&#039; R y U R&#039; F&#039; R U R U&#039; R&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 12 ===&lt;br /&gt;
[[Image:o12.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y F R U R2 F R y&#039; R2 U R U2 R&#039;&lt;br /&gt;
* y&#039; r R2 U&#039; R U&#039; R&#039; U2 R U&#039; R r&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Fish shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 9 ===&lt;br /&gt;
[[Image:o9.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R&#039; U&#039; R y&#039; x&#039; R U&#039; R&#039; F R U R&#039; x&lt;br /&gt;
* y&#039; R&#039; U&#039; R x U&#039; R&#039; U y R U y&#039; R U&#039; x&#039;&lt;br /&gt;
* y&#039; R U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; R y Rw U&#039; Rw&#039; U Rw U Rw&lt;br /&gt;
&lt;br /&gt;
=== OLL 10 ===&lt;br /&gt;
[[Image:o10.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R U R&#039; y R&#039; F R U&#039; R&#039; F&#039; R&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; y&#039; R&#039;w U Rw U&#039; R&#039;w U&#039; Rw&lt;br /&gt;
* y&#039; R&#039; U&#039; R U R B&#039; R2 U&#039; R U B&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 35 ===&lt;br /&gt;
[[Image:o35.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 (R Lw) U&#039; R&#039; U Lw&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
=== OLL 37 ===&lt;br /&gt;
[[Image:o37.gif]]&lt;br /&gt;
&lt;br /&gt;
* x&#039; U&#039; R U l&#039; U&#039; R&#039; U R&lt;br /&gt;
* l U&#039; R&#039; U y&#039; R U R&#039; U&#039; z&#039;&lt;br /&gt;
* y F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y R&#039; F R F&#039; U&#039; F&#039; U F&lt;br /&gt;
* y F R&#039; F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* R B&#039; R&#039; B U B U&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Knight move shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 13 ===&lt;br /&gt;
[[Image:o13.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* F U R U2 R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 f R U R2 U&#039; R&#039; U R U&#039; f&#039;&lt;br /&gt;
* r U&#039; r&#039; U&#039; r U r&#039; y&#039; R&#039; U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 14 ===&lt;br /&gt;
[[Image:o14.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; F&#039; R y&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; y&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 B&#039; U&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 Rw&#039; U Rw U Rw&#039; U&#039; Rw y R U&#039; R&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 15 ===&lt;br /&gt;
[[Image:o15.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F&#039; R L&#039; U&#039; L U R&#039; F R&lt;br /&gt;
* r&#039; U&#039; r R&#039; U&#039; R U r&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 16 ===&lt;br /&gt;
[[Image:o16.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r U r&#039; R U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 r U M U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 F&#039; R U R&#039; U&#039; R&#039; F R U&#039; y&#039; R&#039; U R U y R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Awkward shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 29 ===&lt;br /&gt;
[[Image:o29.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; d&#039; L&#039; U&#039; L&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; U&#039; y&#039; R&#039; U&#039; R&lt;br /&gt;
* y2 R2&#039; U&#039; R F R&#039; U R2&#039; U&#039; R&#039; F&#039; R&lt;br /&gt;
* y (R U R&#039; U&#039;) (R U&#039; R&#039; F&#039;) U&#039; (F R U R&#039;)&lt;br /&gt;
* y R&#039; U2 R2 U R&#039; U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* M U (R U R&#039; U&#039;) (R&#039; F R F&#039;) M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F2&lt;br /&gt;
* l U&#039; R&#039; U l&#039; U2 d L U L&#039;&lt;br /&gt;
* f R U R2 U&#039; R&#039; U R2 U&#039; R&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; x&#039; U R&#039; D&#039; R U&#039; R&#039;&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B R&#039;&lt;br /&gt;
* M U&#039; (L&#039; U&#039; L U) (L F&#039; L&#039; F) M&#039;&lt;br /&gt;
* y2 M&#039; U&#039; (R&#039; U&#039; R U) x (R U&#039; R&#039; U) M x&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 41 ===&lt;br /&gt;
[[Image:o41.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R&#039; U2 R U y R U&#039; R&#039; y&#039; U&#039; R&#039;&lt;br /&gt;
* y R U2&#039; R&#039; U&#039; R U&#039; R2 (y) L&#039; U&#039; L U F&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y2 R U R&#039; U R U2 R&#039; F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 Rw R2 y&#039; R&#039; U&#039; R U y R U&#039; M&lt;br /&gt;
* y2 R2 L z&#039; l&#039; U&#039; R d L U&#039; L l&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw&#039; R2 y R U R&#039; U&#039; y&#039; R&#039; U M&#039;&lt;br /&gt;
* R&#039; U&#039; R U F R U R&#039; U&#039; R&#039; U R U&#039; F&#039;&lt;br /&gt;
* L&#039; U L U2 L&#039; U&#039; y&#039; L&#039; U L U F&lt;br /&gt;
* y R&#039; U2 R U R&#039; U R2 y R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y (R&#039;F R F&#039;)*2 R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z Rw U L&#039; Dw&#039; R&#039; U R&#039; Rw&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==All Corners Oriented==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 28 ===&lt;br /&gt;
[[Image:o28.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U&#039; Rw&#039; R U R U&#039; R&#039;&lt;br /&gt;
* y&#039; Rw&#039; U&#039; R U M&#039; U&#039; R&#039; U R&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; U2 F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* F R U R&#039; U&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&lt;br /&gt;
* y M U&#039; M&#039; U2 M U&#039; M&#039;&lt;br /&gt;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* y&#039; M U M2 U M&#039; U2 M U M &lt;br /&gt;
* M U M U M&#039; U&#039; M U&#039; M U M &lt;br /&gt;
* M U M&#039; U M U2 M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* y M U&#039; M U&#039; M&#039; U M U M U&#039; M &lt;br /&gt;
* y2 M U&#039; M2 U&#039; M&#039; U2 M U&#039; M &lt;br /&gt;
* y&#039; M U M&#039; U M U M&#039; U M U M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; M U M U M U&#039; M U&#039; M&#039; U M2&lt;br /&gt;
* y&#039; M2 U M&#039; U2 M U M U M U2 M&#039; U M&lt;br /&gt;
* y2 M&#039; U M U&#039; M U&#039; M U M U M&#039; U&#039; M2 &lt;br /&gt;
* M U&#039; M2 U2 M&#039; U&#039; M U2 M U&#039; M U&#039; M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; F2 M2 U&#039; M U F2 U M2 &lt;br /&gt;
* y2 M&#039; U F2 M2 U M U&#039; F2 U&#039; M2 &lt;br /&gt;
* R&#039; F R S R&#039; F&#039; R S&#039; &lt;br /&gt;
* L2 S U&#039; S&#039; U L2 U S U S&#039; &lt;br /&gt;
* y L F&#039; L&#039; S&#039; L F L&#039;S &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 57 ===&lt;br /&gt;
[[Image:o57.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; Rw R&#039; U R U&#039; Rw&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* R&#039; U&#039; R U M U&#039; R&#039; U Rw&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M&#039; U&#039; M&#039; U2 M U&#039; M U&#039; M&lt;br /&gt;
* M U M&#039; U&#039; M U M&#039; U M U2 M&#039;&lt;br /&gt;
* M&#039; U&#039; M U M&#039; U&#039; M U&#039; M&#039; U2 M&lt;br /&gt;
* M U M2 U2 M U M U2 M U&#039; M&#039; U&#039; M&#039;&lt;br /&gt;
* M&#039; U&#039; M2 U2 M&#039; U&#039; M&#039; U2 M&#039; U M U M&lt;br /&gt;
* M2 U&#039; M U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U M &lt;br /&gt;
* M2 U&#039; M&#039; U M U M U&#039; M U&#039; M U M&#039; &lt;br /&gt;
* y M&#039; U M&#039; U M&#039; U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* y M&#039; U M U M&#039; U M U&#039; M&#039; U&#039; M&lt;br /&gt;
* y M&#039; U&#039; M U&#039; M&#039; U&#039; M U M&#039; U M&lt;br /&gt;
* y M U&#039; M&#039; U&#039; M U&#039; M’ U M U M&#039;&lt;br /&gt;
* y M U M&#039; U M U M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* M U M&#039; U&#039; F2 M U M&#039; U&#039; F2 &lt;br /&gt;
* M&#039; U&#039; M U F2 M&#039; U&#039; M U F2&lt;br /&gt;
* M2 U&#039; F2 U&#039; M&#039; U M2 F2 U M&lt;br /&gt;
* F M&#039; F U M2 U2 M2 U F&#039; M F&#039; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[OLL (2x2x2)]]&lt;br /&gt;
* [[2-Look OLL]]&lt;br /&gt;
* [[PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5809</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5809"/>
		<updated>2009-10-29T20:37:58Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* OLL 17 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].&lt;br /&gt;
&lt;br /&gt;
Parentheses in an algorithm signify the triggers of the algorithm.  For example, [(R U R&#039;) (L&#039; U L)] shows two triggers in the algorithm, even though it is the same as [R U R&#039; L&#039; U L].&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All edges flipped correctly==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;OCLL&#039;&#039;&#039; is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. &lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== OLL 21 ===&lt;br /&gt;
[[Image:o21.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
* y R U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y F (R U R&#039; U&#039;) (R U R&#039; U&#039;) (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 R&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U L U2 L&#039;&lt;br /&gt;
* y L&#039; U2 L U L&#039; U&#039; L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 22 ===&lt;br /&gt;
[[Image:o22.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; U&#039; R2 U&#039; R2&#039; U2 R&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 L&#039; U2 L2 U L2 U L2 U2 L&#039;&lt;br /&gt;
* R U2 R2 U&#039; R&#039; U R U&#039; R U&#039; R&#039; y M&#039; U2 M&lt;br /&gt;
* R&#039; U L U&#039; R U&#039; L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* y2 L U&#039; R&#039; U L&#039; U R U R&#039; U R&lt;br /&gt;
* y2 L&#039; U R U&#039; L U&#039; R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 23 ===&lt;br /&gt;
[[Image:o23.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 D&#039; R U2 R&#039; D R U2 R&lt;br /&gt;
* R&#039; U2 R F U&#039; R&#039; U&#039; R U F&#039;&lt;br /&gt;
* l2 U&#039; R D2 R&#039; U R D2 R&lt;br /&gt;
* l2&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&lt;br /&gt;
* y&#039; R U R&#039; U&#039; (R U&#039; R&#039; U2)(R U&#039; R&#039; U2) R U R&#039;&lt;br /&gt;
* y2 R&#039; F2 R U2 R U2 R&#039; F2 R U2 R&#039;&lt;br /&gt;
* y2 R2 D R&#039; U2 R D&#039; R&#039; U2 R&#039;&lt;br /&gt;
* (R&#039; U&#039; R U) R&#039; U2 R2 U (R&#039; U R U2 R)&lt;br /&gt;
&lt;br /&gt;
=== OLL 24 ===&lt;br /&gt;
[[Image:o24.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039; x&#039;&lt;br /&gt;
* r U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* y&#039; F R U R&#039; U&#039; R U&#039; R U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y&#039; R U R2&#039; U&#039; R2 U&#039; R2&#039; U2&#039; R U&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R U&#039; R&#039; (U2 R U R&#039;) (U2 R U R&#039;) (U R U&#039; R&#039;)&lt;br /&gt;
* y  x D&#039; R&#039; U R D R&#039; U&#039; R x&#039;&lt;br /&gt;
* y  x&#039; U&#039; R&#039; D R U R&#039; D&#039; R x&lt;br /&gt;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
* y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R B&#039; R&#039; F&#039; R B&lt;br /&gt;
* y&#039; F&#039; r U R&#039; U&#039; r&#039; F R&lt;br /&gt;
* y&#039; x U R&#039; U&#039; L U R U&#039; r&#039;&lt;br /&gt;
* y R&#039; F&#039; L&#039; F R F&#039; L F&lt;br /&gt;
* y R&#039; U&#039; (R U R&#039; F&#039;) (R U R&#039; U&#039;) (R&#039; F R2)&lt;br /&gt;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#039;&lt;br /&gt;
* y2 F R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
* y2 l&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* y2 x&#039; L&#039; U&#039; R&#039; U L U&#039; R U&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
* x&#039; R&#039; D R U&#039; R&#039; D&#039; R U x&lt;br /&gt;
* x R&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* D&#039; R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; L U x&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R U R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 26 ===&lt;br /&gt;
[[Image:o26.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R&#039; U2 R&lt;br /&gt;
* y&#039; R U2 R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* L U2 L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&lt;br /&gt;
* L&#039; U R U&#039; L U R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 27 ===&lt;br /&gt;
[[Image:o27.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y L&#039; U2 L U L&#039; UL&lt;br /&gt;
* y2 L U L&#039; U L U2 L&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U&#039; L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==No edges flipped correctly==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 1 === &lt;br /&gt;
[[Image:o1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (R U2) (R2&#039; F R F&#039; U2&#039;) (R&#039; F R F&#039;)&lt;br /&gt;
* R U B&#039; R B R2 U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 2 === &lt;br /&gt;
[[Image:o2.gif]]&lt;br /&gt;
&lt;br /&gt;
* F (R U R&#039; U&#039;) F&#039; f (R U R&#039; U&#039;) f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 3 ===&lt;br /&gt;
[[Image:o3.gif]]&lt;br /&gt;
&lt;br /&gt;
* y f (R U R&#039; U&#039;) f&#039; U&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 r&#039; R2 U R&#039; U r U2 r&#039; U R&#039; r&lt;br /&gt;
* y2 M U Lw&#039; U2 Lw U L&#039; U L M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 4 ===&lt;br /&gt;
[[Image:o4.gif]]&lt;br /&gt;
&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; U F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
* y r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
* y M U&#039; Rw U2&#039; Rw&#039; U&#039; R U&#039; R&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 17 ===&lt;br /&gt;
[[Image:o17.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* Fw R U R&#039; U&#039; y&#039; M U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* F R&#039; F&#039; l R L&#039; U R U&#039; R&#039; U&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 18 ===&lt;br /&gt;
[[Image:o18.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; r U R&#039; U R U2 r2&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* y2 F R U R&#039; d R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* R U2 R2 F R F&#039; U2 M&#039; U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 19 ===&lt;br /&gt;
[[Image:o19.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; U2 R U R&#039; U r2 U2&#039; R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* R&#039; U2 F R U R&#039; U&#039; y&#039; R2 U2 R B&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 20 ===&lt;br /&gt;
[[Image:o20.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r2 R2&#039; U R U&#039; r&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; M2 U R U&#039; r&#039;&lt;br /&gt;
* Rw U R&#039; U&#039; M2 (U R U&#039; R&#039;) U&#039; M&#039;&lt;br /&gt;
* M&#039; U2 M&#039; U2 M&#039; U M U2 M U2 M&lt;br /&gt;
* M&#039; U2 M U2 M&#039; U M U2 M&#039; U2 M&lt;br /&gt;
* M U2 M&#039; U2 M U M&#039; U2 M U2 M&#039; U&#039; &lt;br /&gt;
* M U2 M U2 M U M&#039; U2 M&#039; U2 M&#039; U&#039;&lt;br /&gt;
* M&#039; U M&#039; U M&#039; U M&#039; U M U M U M U M U&lt;br /&gt;
* M&#039; U M U M&#039; U2 M&#039; U M&#039; U M U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M U&#039; M&#039; U2 M&#039; U&#039; M&#039; U&#039; M U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* M&#039; U&#039; M U2 M&#039; U&#039; M2 U M&#039; U2 M U M&#039;&lt;br /&gt;
* M d r2 U M&#039; U2 M U r2 S&#039;&lt;br /&gt;
* M U M F R&#039;F&#039; M2 F R F&#039; U&#039;&lt;br /&gt;
* R2 U2 R&#039; F2 U2 R2 F&#039; R2 U2 F2 R U2 R2 U&#039; &lt;br /&gt;
* R B U B&#039; R&#039; F2 B D&#039; L&#039; D B&#039;F2 &lt;br /&gt;
* L&#039; R&#039; F&#039; U2 L2 U2 L2 U2 L2 F L R &lt;br /&gt;
* F U2 F&#039; U L&#039; U&#039; B&#039; R&#039; U2 R U&#039; B U L &lt;br /&gt;
* F2 M F2 M2 U&#039; M2 F2 M&#039; F2 U &lt;br /&gt;
* F2 M F2 U&#039; M2 U B2 M B2 &lt;br /&gt;
* F&#039; B&#039; R E S R S&#039; R2 E&#039; F B &lt;br /&gt;
* B&#039; R&#039; B F2 U&#039; R&#039; U&#039; R&#039; F R2 U F2 R &lt;br /&gt;
* B L B&#039; F2 U L U L F&#039; L2 U&#039; F2 L&#039; &lt;br /&gt;
* S U S2 U&#039; L U L S L&#039; U&#039; L&#039; &lt;br /&gt;
* S&#039; U&#039; S2 U R&#039; U&#039; R&#039; S&#039; R U R&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;P&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 31 ===&lt;br /&gt;
[[Image:o31.gif]]&lt;br /&gt;
&lt;br /&gt;
* L&#039; d&#039; R d L U&#039; L&#039; B&#039; L&lt;br /&gt;
* S&#039; L&#039; U&#039; L U L F&#039; L&#039; f&lt;br /&gt;
* y x U R&#039; U&#039; l U R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y2 R&#039; U&#039; F U R U&#039; R&#039; F&#039; R&lt;br /&gt;
* L&#039; U&#039; B U L U&#039; L&#039; B&#039; L&lt;br /&gt;
&lt;br /&gt;
=== OLL 32 ===&lt;br /&gt;
[[Image:o32.gif]]&lt;br /&gt;
&lt;br /&gt;
* R d L&#039; d&#039; R&#039; U R B R&#039;&lt;br /&gt;
* S R U R&#039; U&#039; R&#039; F R f&#039;&lt;br /&gt;
* y x&#039; U&#039; R U l&#039; U&#039; R&#039; U&#039; R U R&#039; U R&lt;br /&gt;
* R U B&#039; U&#039; R&#039; U R B R&#039;&lt;br /&gt;
* y2 F U R U&#039; F&#039; r U R&#039; U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 43 ===&lt;br /&gt;
[[Image:o43.gif]]&lt;br /&gt;
&lt;br /&gt;
* f&#039; L&#039; U&#039; L U f&lt;br /&gt;
* B&#039; U&#039; R&#039; U R B&lt;br /&gt;
* y2 F&#039; U&#039; L&#039; U L F&lt;br /&gt;
* U R U R&#039; F&#039; L&#039; U&#039; L F&lt;br /&gt;
* y2 R&#039; U&#039; F R&#039; F&#039; R U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 44 ===&lt;br /&gt;
[[Image:o44.gif]]&lt;br /&gt;
&lt;br /&gt;
* f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y R U y&#039; L U&#039; L&#039; B&#039;&lt;br /&gt;
* y F U R&#039; F R F&#039; U&#039; F&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;W&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 36 ===&lt;br /&gt;
[[Image:o36.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U R B&#039; R&#039; B&lt;br /&gt;
* y2 (L&#039; U&#039; L U&#039;) (L&#039; U L U) (L F&#039; L&#039; F)&lt;br /&gt;
* (R U R&#039; U&#039;) y (L&#039; U2&#039; L U) y&#039; (R U R&#039;)&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 38 ===&lt;br /&gt;
[[Image:o38.gif]]&lt;br /&gt;
&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U&#039; L&#039; B L B&#039;&lt;br /&gt;
* y2 R U R&#039; U R U&#039; R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* (L&#039; U&#039; L U) y&#039; (R U2 R&#039; U&#039;) y (L&#039; U&#039; L)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;L&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 53 ===&lt;br /&gt;
[[Image:o53.gif]]&lt;br /&gt;
&lt;br /&gt;
* l&#039; U&#039; L U&#039; L&#039; U L U&#039; L&#039; U2 l&lt;br /&gt;
* l U2 L U L&#039; U&#039; L U L&#039; U&#039; l&#039;&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 r&lt;br /&gt;
* y&#039; r&#039; U2 R U R&#039; U&#039; R U R&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 54 ===&lt;br /&gt;
[[Image:o54.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U R U&#039; R&#039; U R U2 r&#039;&lt;br /&gt;
* y&#039; r U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* y2 l U L&#039; U L U&#039; L&#039; U L U2 l&#039; &lt;br /&gt;
* y l&#039; U2 L U L&#039; U&#039; L U L&#039; U&#039; l&lt;br /&gt;
&lt;br /&gt;
=== OLL 50 ===&lt;br /&gt;
[[Image:o50.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R2 B&#039; R2 F&#039; R2 B R&#039;&lt;br /&gt;
* r&#039; U r2 U&#039; r2&#039; U&#039; r2 U r&#039;&lt;br /&gt;
* R B&#039; R B R2&#039; U2 F R&#039; F&#039; R&lt;br /&gt;
* y2 l&#039; U l2 U&#039; l2 U&#039; l2 U l&#039;&lt;br /&gt;
* r&#039; U2 R2&#039; U R2 U rR U2 R&#039;&lt;br /&gt;
* y&#039; [R U2 R&#039; U&#039; R U&#039; R&#039;] [F R U R&#039; U&#039; F&#039;]&lt;br /&gt;
* (y x&#039;) U&#039; r U2 L&#039; U2 r&#039; U2 L U&#039; (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 47 ===&lt;br /&gt;
[[Image:o47.gif]]&lt;br /&gt;
&lt;br /&gt;
* F&#039; L&#039; U&#039; L U L&#039; U&#039; L U F&lt;br /&gt;
* R&#039; U&#039; x R&#039; U R U&#039; R&#039; U R U&#039; x&#039; U R&lt;br /&gt;
* b&#039; U&#039; R&#039; U R U&#039; R&#039; U R b&lt;br /&gt;
&lt;br /&gt;
=== OLL 48 ===&lt;br /&gt;
[[Image:o48.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 f U R U&#039; R&#039; U R U&#039; R&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 49 ===&lt;br /&gt;
[[Image:o49.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R2 F R2 B R2 F&#039; R&lt;br /&gt;
* l U&#039; l2&#039; U l2 U l2&#039; U&#039; l&lt;br /&gt;
* y2 r U&#039; r2 U r2 U r2 U&#039; r&lt;br /&gt;
* y2 R&#039; F R&#039; F&#039; R2 d2 y&#039; R&#039; F R F&#039;&lt;br /&gt;
* y2 r U2 R2&#039; U&#039; R2 U&#039; r&#039;R&#039; U2 R&lt;br /&gt;
* (y&#039; x&#039;) U l&#039; U2 R U2 l U2 R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;C&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 34 ===&lt;br /&gt;
[[Image:o34.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; x D&#039; R&#039; U R E&#039; z&#039;&lt;br /&gt;
* y2 R&#039; U&#039; R U y&#039;x&#039; R U L&#039; U&#039; M&#039;&lt;br /&gt;
* R U R&#039; U&#039; y&#039; Rw&#039; U&#039; R U M&#039;&lt;br /&gt;
* (R U R&#039; U&#039;) B&#039; (R U R&#039; F&#039;) B&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&lt;br /&gt;
* R U R2 U&#039; R&#039; F R U R U&#039; F&#039;&lt;br /&gt;
* y2 F R U R&#039; U&#039; R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 46 ===&lt;br /&gt;
[[Image:o46.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R&#039; F R F&#039; U R&lt;br /&gt;
* R&#039; U&#039; l&#039; U l F&#039; U R&lt;br /&gt;
* y F U F Lw&#039; U&#039; Lw U&#039; F&#039;&lt;br /&gt;
* R U l U&#039; R&#039; U F&#039; l&#039;&lt;br /&gt;
* y2 L F U&#039; R U R&#039; F&#039; L&#039;&lt;br /&gt;
* R U R&#039;2 U&#039; R&#039; F R U R U&#039; F&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;T&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 33 ===&lt;br /&gt;
[[Image:o33.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R&#039; U&#039; R U l U&#039; R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 45 ===&lt;br /&gt;
[[Image:o45.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* Fw&#039; U&#039; L&#039; U L Fw&lt;br /&gt;
* y2 Fw U R U&#039; R&#039; Fw&#039;&lt;br /&gt;
* y2 F&#039; L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;I&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 55 ===&lt;br /&gt;
[[Image:o55.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2 U&#039; R U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* R&#039; U2 R2 U R&#039; U R U2 y Lw&#039; U&#039; Lw&lt;br /&gt;
* Rw U2 R2 F R F&#039; U2 Rw&#039; F R F&#039;&lt;br /&gt;
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)&lt;br /&gt;
::(y) Rr U2 Rra&#039; U2 Rr U2 Rr&#039; U2 Rra U2 Rr&#039;&lt;br /&gt;
* y R&#039; F R U R&#039; F R U&#039; R&#039; F&#039; R U M&#039; U&#039; M&lt;br /&gt;
* L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; M&#039; U M&lt;br /&gt;
* (L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; L)(R&#039; F R) L&#039;&lt;br /&gt;
* R d&#039; R2 D R&#039; U2 R D&#039; R2 d R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
* Rw U Rw&#039; U R U&#039; R&#039; U R U&#039; R&#039; Rw U&#039; Rw&#039; &lt;br /&gt;
* Rw&#039; U&#039; Rw U&#039; R&#039; U R U&#039; R&#039; U R Rw&#039; U Rw&lt;br /&gt;
* L F L&#039; U R U&#039; R&#039; U R U&#039; R&#039; L F&#039; L&#039;&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; Rw U R&#039; U&#039; Rw&#039;&lt;br /&gt;
* R B R&#039; U L U&#039; L&#039; U L U&#039; L&#039; R B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 51 ===&lt;br /&gt;
[[Image:o51.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 f R U R&#039; U&#039; R U R&#039; U&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 52 ===&lt;br /&gt;
[[Image:o52.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; d R&#039; U R B&lt;br /&gt;
* R U R&#039; U R d&#039; R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 R&#039; U&#039; x U R&#039; U&#039; R U R&#039; U&#039; R x&#039; U R &lt;br /&gt;
* (R U R&#039; U R U2 R&#039;) U (F U R U&#039; R&#039; F&#039;)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Square shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 5 ===&lt;br /&gt;
[[Image:o5.gif]]&lt;br /&gt;
&lt;br /&gt;
* (r&#039; U2) (R U R&#039; U r)&lt;br /&gt;
* y2 l&#039; U2 L U L&#039; U l&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 6 ===&lt;br /&gt;
[[Image:o6.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 (r U2) (R&#039; U&#039; R U&#039;) r&#039;&lt;br /&gt;
* l U2 L&#039; U&#039; L U&#039; l&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Big lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 39 ===&lt;br /&gt;
[[Image:o39.gif]]&lt;br /&gt;
&lt;br /&gt;
* L F&#039; L&#039; U&#039; L U F U&#039; L&#039;&lt;br /&gt;
* y2 f&#039; L F L&#039; U&#039; L&#039; U L S&lt;br /&gt;
* y2 R B&#039; R&#039; U&#039; R U B U&#039; R&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; x R&#039; U&#039; R U x&#039; U F&#039; Lw&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 40 ===&lt;br /&gt;
[[Image:o40.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; U&#039; F&#039; U R&lt;br /&gt;
* y2 f R&#039; F&#039; R U R U&#039; R&#039; S&#039;&lt;br /&gt;
* y2 L&#039; B L U L&#039; U&#039; B&#039; U L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Small lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 7 ===&lt;br /&gt;
[[Image:o7.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U R U2 Rw&#039;&lt;br /&gt;
* F&#039; R&#039; F R U2 R U2 R&#039;&lt;br /&gt;
* L&#039; U2 L U2 L F&#039; L&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 8 ===&lt;br /&gt;
[[Image:o8.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* R U2 R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 11 ===&lt;br /&gt;
[[Image:o11.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R2 U R&#039; U R U2 R&#039; U r R&#039;&lt;br /&gt;
* y2 r U R&#039; U R&#039; F R F&#039; R U2 r&#039;&lt;br /&gt;
* y F&#039; L&#039; U&#039; L U F&#039; Y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R U R&#039; y&#039; U&#039; R&#039; U&#039; R y U R&#039; F&#039; R U R U&#039; R&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 12 ===&lt;br /&gt;
[[Image:o12.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y F R U R2 F R y&#039; R2 U R U2 R&#039;&lt;br /&gt;
* y&#039; r R2 U&#039; R U&#039; R&#039; U2 R U&#039; R r&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Fish shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 9 ===&lt;br /&gt;
[[Image:o9.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R&#039; U&#039; R y&#039; x&#039; R U&#039; R&#039; F R U R&#039; x&lt;br /&gt;
* y&#039; R&#039; U&#039; R x U&#039; R&#039; U y R U y&#039; R U&#039; x&#039;&lt;br /&gt;
* y&#039; R U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; R y Rw U&#039; Rw&#039; U Rw U Rw&lt;br /&gt;
&lt;br /&gt;
=== OLL 10 ===&lt;br /&gt;
[[Image:o10.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R U R&#039; y R&#039; F R U&#039; R&#039; F&#039; R&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; y&#039; R&#039;w U Rw U&#039; R&#039;w U&#039; Rw&lt;br /&gt;
* y&#039; R&#039; U&#039; R U R B&#039; R2 U&#039; R U B&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 35 ===&lt;br /&gt;
[[Image:o35.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 (R Lw) U&#039; R&#039; U Lw&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
=== OLL 37 ===&lt;br /&gt;
[[Image:o37.gif]]&lt;br /&gt;
&lt;br /&gt;
* x&#039; U&#039; R U l&#039; U&#039; R&#039; U R&lt;br /&gt;
* l U&#039; R&#039; U y&#039; R U R&#039; U&#039; z&#039;&lt;br /&gt;
* y F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y R&#039; F R F&#039; U&#039; F&#039; U F&lt;br /&gt;
* y F R&#039; F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* R B&#039; R&#039; B U B U&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Knight move shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 13 ===&lt;br /&gt;
[[Image:o13.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* F U R U2 R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 f R U R2 U&#039; R&#039; U R U&#039; f&#039;&lt;br /&gt;
* r U&#039; r&#039; U&#039; r U r&#039; y&#039; R&#039; U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 14 ===&lt;br /&gt;
[[Image:o14.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; F&#039; R y&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; y&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 B&#039; U&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 Rw&#039; U Rw U Rw&#039; U&#039; Rw y R U&#039; R&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 15 ===&lt;br /&gt;
[[Image:o15.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F&#039; R L&#039; U&#039; L U R&#039; F R&lt;br /&gt;
* r&#039; U&#039; r R&#039; U&#039; R U r&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 16 ===&lt;br /&gt;
[[Image:o16.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r U r&#039; R U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 r U M U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 F&#039; R U R&#039; U&#039; R&#039; F R U&#039; y&#039; R&#039; U R U y R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Awkward shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 29 ===&lt;br /&gt;
[[Image:o29.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; d&#039; L&#039; U&#039; L&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; U&#039; y&#039; R&#039; U&#039; R&lt;br /&gt;
* y2 R2&#039; U&#039; R F R&#039; U R2&#039; U&#039; R&#039; F&#039; R&lt;br /&gt;
* y (R U R&#039; U&#039;) (R U&#039; R&#039; F&#039;) U&#039; (F R U R&#039;)&lt;br /&gt;
* y R&#039; U2 R2 U R&#039; U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* M U (R U R&#039; U&#039;) (R&#039; F R F&#039;) M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F2&lt;br /&gt;
* l U&#039; R&#039; U l&#039; U2 d L U L&#039;&lt;br /&gt;
* f R U R2 U&#039; R&#039; U R2 U&#039; R&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; x&#039; U R&#039; D&#039; R U&#039; R&#039;&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B R&#039;&lt;br /&gt;
* M U&#039; (L&#039; U&#039; L U) (L F&#039; L&#039; F) M&#039;&lt;br /&gt;
* y2 M&#039; U&#039; (R&#039; U&#039; R U) x (R U&#039; R&#039; U) M x&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 41 ===&lt;br /&gt;
[[Image:o41.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R&#039; U2 R U y R U&#039; R&#039; y&#039; U&#039; R&#039;&lt;br /&gt;
* y R U2&#039; R&#039; U&#039; R U&#039; R2 (y) L&#039; U&#039; L U F&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y2 R U R&#039; U R U2 R&#039; F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 Rw R2 y&#039; R&#039; U&#039; R U y R U&#039; M&lt;br /&gt;
* y2 R2 L z&#039; l&#039; U&#039; R d L U&#039; L l&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw&#039; R2 y R U R&#039; U&#039; y&#039; R&#039; U M&#039;&lt;br /&gt;
* R&#039; U&#039; R U F R U R&#039; U&#039; R&#039; U R U&#039; F&#039;&lt;br /&gt;
* L&#039; U L U2 L&#039; U&#039; y&#039; L&#039; U L U F&lt;br /&gt;
* y R&#039; U2 R U R&#039; U R2 y R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y (R&#039;F R F&#039;)*2 R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z Rw U L&#039; Dw&#039; R&#039; U R&#039; Rw&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==All Corners Oriented==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 28 ===&lt;br /&gt;
[[Image:o28.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U&#039; Rw&#039; R U R U&#039; R&#039;&lt;br /&gt;
* y&#039; Rw&#039; U&#039; R U M&#039; U&#039; R&#039; U R&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; U2 F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* F R U R&#039; U&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&lt;br /&gt;
* y M U&#039; M&#039; U2 M U&#039; M&#039;&lt;br /&gt;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* y&#039; M U M2 U M&#039; U2 M U M &lt;br /&gt;
* M U M U M&#039; U&#039; M U&#039; M U M &lt;br /&gt;
* M U M&#039; U M U2 M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* y M U&#039; M U&#039; M&#039; U M U M U&#039; M &lt;br /&gt;
* y2 M U&#039; M2 U&#039; M&#039; U2 M U&#039; M &lt;br /&gt;
* y&#039; M U M&#039; U M U M&#039; U M U M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; M U M U M U&#039; M U&#039; M&#039; U M2&lt;br /&gt;
* y&#039; M2 U M&#039; U2 M U M U M U2 M&#039; U M&lt;br /&gt;
* y2 M&#039; U M U&#039; M U&#039; M U M U M&#039; U&#039; M2 &lt;br /&gt;
* M U&#039; M2 U2 M&#039; U&#039; M U2 M U&#039; M U&#039; M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; F2 M2 U&#039; M U F2 U M2 &lt;br /&gt;
* y2 M&#039; U F2 M2 U M U&#039; F2 U&#039; M2 &lt;br /&gt;
* R&#039; F R S R&#039; F&#039; R S&#039; &lt;br /&gt;
* L2 S U&#039; S&#039; U L2 U S U S&#039; &lt;br /&gt;
* y L F&#039; L&#039; S&#039; L F L&#039;S &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 57 ===&lt;br /&gt;
[[Image:o57.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; Rw R&#039; U R U&#039; Rw&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* R&#039; U&#039; R U M U&#039; R&#039; U Rw&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M&#039; U&#039; M&#039; U2 M U&#039; M U&#039; M&lt;br /&gt;
* M U M&#039; U&#039; M U M&#039; U M U2 M&#039;&lt;br /&gt;
* M&#039; U&#039; M U M&#039; U&#039; M U&#039; M&#039; U2 M&lt;br /&gt;
* M U M2 U2 M U M U2 M U&#039; M&#039; U&#039; M&#039;&lt;br /&gt;
* M&#039; U&#039; M2 U2 M&#039; U&#039; M&#039; U2 M&#039; U M U M&lt;br /&gt;
* M2 U&#039; M U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U M &lt;br /&gt;
* M2 U&#039; M&#039; U M U M U&#039; M U&#039; M U M&#039; &lt;br /&gt;
* y M&#039; U M&#039; U M&#039; U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* y M&#039; U M U M&#039; U M U&#039; M&#039; U&#039; M&lt;br /&gt;
* y M&#039; U&#039; M U&#039; M&#039; U&#039; M U M&#039; U M&lt;br /&gt;
* y M U&#039; M&#039; U&#039; M U&#039; M’ U M U M&#039;&lt;br /&gt;
* y M U M&#039; U M U M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* M U M&#039; U&#039; F2 M U M&#039; U&#039; F2 &lt;br /&gt;
* M&#039; U&#039; M U F2 M&#039; U&#039; M U F2&lt;br /&gt;
* M2 U&#039; F2 U&#039; M&#039; U M2 F2 U M&lt;br /&gt;
* F M&#039; F U M2 U2 M2 U F&#039; M F&#039; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[OLL (2x2x2)]]&lt;br /&gt;
* [[2-Look OLL]]&lt;br /&gt;
* [[PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5808</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5808"/>
		<updated>2009-10-29T20:35:19Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* OLL 21 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].&lt;br /&gt;
&lt;br /&gt;
Parentheses in an algorithm signify the triggers of the algorithm.  For example, [(R U R&#039;) (L&#039; U L)] shows two triggers in the algorithm, even though it is the same as [R U R&#039; L&#039; U L].&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All edges flipped correctly==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;OCLL&#039;&#039;&#039; is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. &lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== OLL 21 ===&lt;br /&gt;
[[Image:o21.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
* y R U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y F (R U R&#039; U&#039;) (R U R&#039; U&#039;) (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 R&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U L U2 L&#039;&lt;br /&gt;
* y L&#039; U2 L U L&#039; U&#039; L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 22 ===&lt;br /&gt;
[[Image:o22.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; U&#039; R2 U&#039; R2&#039; U2 R&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 L&#039; U2 L2 U L2 U L2 U2 L&#039;&lt;br /&gt;
* R U2 R2 U&#039; R&#039; U R U&#039; R U&#039; R&#039; y M&#039; U2 M&lt;br /&gt;
* R&#039; U L U&#039; R U&#039; L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* y2 L U&#039; R&#039; U L&#039; U R U R&#039; U R&lt;br /&gt;
* y2 L&#039; U R U&#039; L U&#039; R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 23 ===&lt;br /&gt;
[[Image:o23.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 D&#039; R U2 R&#039; D R U2 R&lt;br /&gt;
* R&#039; U2 R F U&#039; R&#039; U&#039; R U F&#039;&lt;br /&gt;
* l2 U&#039; R D2 R&#039; U R D2 R&lt;br /&gt;
* l2&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&lt;br /&gt;
* y&#039; R U R&#039; U&#039; (R U&#039; R&#039; U2)(R U&#039; R&#039; U2) R U R&#039;&lt;br /&gt;
* y2 R&#039; F2 R U2 R U2 R&#039; F2 R U2 R&#039;&lt;br /&gt;
* y2 R2 D R&#039; U2 R D&#039; R&#039; U2 R&#039;&lt;br /&gt;
* (R&#039; U&#039; R U) R&#039; U2 R2 U (R&#039; U R U2 R)&lt;br /&gt;
&lt;br /&gt;
=== OLL 24 ===&lt;br /&gt;
[[Image:o24.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039; x&#039;&lt;br /&gt;
* r U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* y&#039; F R U R&#039; U&#039; R U&#039; R U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y&#039; R U R2&#039; U&#039; R2 U&#039; R2&#039; U2&#039; R U&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R U&#039; R&#039; (U2 R U R&#039;) (U2 R U R&#039;) (U R U&#039; R&#039;)&lt;br /&gt;
* y  x D&#039; R&#039; U R D R&#039; U&#039; R x&#039;&lt;br /&gt;
* y  x&#039; U&#039; R&#039; D R U R&#039; D&#039; R x&lt;br /&gt;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
* y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R B&#039; R&#039; F&#039; R B&lt;br /&gt;
* y&#039; F&#039; r U R&#039; U&#039; r&#039; F R&lt;br /&gt;
* y&#039; x U R&#039; U&#039; L U R U&#039; r&#039;&lt;br /&gt;
* y R&#039; F&#039; L&#039; F R F&#039; L F&lt;br /&gt;
* y R&#039; U&#039; (R U R&#039; F&#039;) (R U R&#039; U&#039;) (R&#039; F R2)&lt;br /&gt;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#039;&lt;br /&gt;
* y2 F R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
* y2 l&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* y2 x&#039; L&#039; U&#039; R&#039; U L U&#039; R U&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
* x&#039; R&#039; D R U&#039; R&#039; D&#039; R U x&lt;br /&gt;
* x R&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* D&#039; R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; L U x&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R U R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 26 ===&lt;br /&gt;
[[Image:o26.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R&#039; U2 R&lt;br /&gt;
* y&#039; R U2 R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* L U2 L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&lt;br /&gt;
* L&#039; U R U&#039; L U R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 27 ===&lt;br /&gt;
[[Image:o27.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y L&#039; U2 L U L&#039; UL&lt;br /&gt;
* y2 L U L&#039; U L U2 L&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U&#039; L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==No edges flipped correctly==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 1 === &lt;br /&gt;
[[Image:o1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (R U2) (R2&#039; F R F&#039; U2&#039;) (R&#039; F R F&#039;)&lt;br /&gt;
* R U B&#039; R B R2 U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 2 === &lt;br /&gt;
[[Image:o2.gif]]&lt;br /&gt;
&lt;br /&gt;
* F (R U R&#039; U&#039;) F&#039; f (R U R&#039; U&#039;) f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 3 ===&lt;br /&gt;
[[Image:o3.gif]]&lt;br /&gt;
&lt;br /&gt;
* y f (R U R&#039; U&#039;) f&#039; U&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 r&#039; R2 U R&#039; U r U2 r&#039; U R&#039; r&lt;br /&gt;
* y2 M U Lw&#039; U2 Lw U L&#039; U L M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 4 ===&lt;br /&gt;
[[Image:o4.gif]]&lt;br /&gt;
&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; U F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
* y r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
* y M U&#039; Rw U2&#039; Rw&#039; U&#039; R U&#039; R&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 17 ===&lt;br /&gt;
[[Image:o17.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* Fw R U R&#039; U&#039; y&#039; M U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 18 ===&lt;br /&gt;
[[Image:o18.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; r U R&#039; U R U2 r2&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* y2 F R U R&#039; d R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* R U2 R2 F R F&#039; U2 M&#039; U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 19 ===&lt;br /&gt;
[[Image:o19.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; U2 R U R&#039; U r2 U2&#039; R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* R&#039; U2 F R U R&#039; U&#039; y&#039; R2 U2 R B&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 20 ===&lt;br /&gt;
[[Image:o20.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r2 R2&#039; U R U&#039; r&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; M2 U R U&#039; r&#039;&lt;br /&gt;
* Rw U R&#039; U&#039; M2 (U R U&#039; R&#039;) U&#039; M&#039;&lt;br /&gt;
* M&#039; U2 M&#039; U2 M&#039; U M U2 M U2 M&lt;br /&gt;
* M&#039; U2 M U2 M&#039; U M U2 M&#039; U2 M&lt;br /&gt;
* M U2 M&#039; U2 M U M&#039; U2 M U2 M&#039; U&#039; &lt;br /&gt;
* M U2 M U2 M U M&#039; U2 M&#039; U2 M&#039; U&#039;&lt;br /&gt;
* M&#039; U M&#039; U M&#039; U M&#039; U M U M U M U M U&lt;br /&gt;
* M&#039; U M U M&#039; U2 M&#039; U M&#039; U M U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M U&#039; M&#039; U2 M&#039; U&#039; M&#039; U&#039; M U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* M&#039; U&#039; M U2 M&#039; U&#039; M2 U M&#039; U2 M U M&#039;&lt;br /&gt;
* M d r2 U M&#039; U2 M U r2 S&#039;&lt;br /&gt;
* M U M F R&#039;F&#039; M2 F R F&#039; U&#039;&lt;br /&gt;
* R2 U2 R&#039; F2 U2 R2 F&#039; R2 U2 F2 R U2 R2 U&#039; &lt;br /&gt;
* R B U B&#039; R&#039; F2 B D&#039; L&#039; D B&#039;F2 &lt;br /&gt;
* L&#039; R&#039; F&#039; U2 L2 U2 L2 U2 L2 F L R &lt;br /&gt;
* F U2 F&#039; U L&#039; U&#039; B&#039; R&#039; U2 R U&#039; B U L &lt;br /&gt;
* F2 M F2 M2 U&#039; M2 F2 M&#039; F2 U &lt;br /&gt;
* F2 M F2 U&#039; M2 U B2 M B2 &lt;br /&gt;
* F&#039; B&#039; R E S R S&#039; R2 E&#039; F B &lt;br /&gt;
* B&#039; R&#039; B F2 U&#039; R&#039; U&#039; R&#039; F R2 U F2 R &lt;br /&gt;
* B L B&#039; F2 U L U L F&#039; L2 U&#039; F2 L&#039; &lt;br /&gt;
* S U S2 U&#039; L U L S L&#039; U&#039; L&#039; &lt;br /&gt;
* S&#039; U&#039; S2 U R&#039; U&#039; R&#039; S&#039; R U R&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;P&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 31 ===&lt;br /&gt;
[[Image:o31.gif]]&lt;br /&gt;
&lt;br /&gt;
* L&#039; d&#039; R d L U&#039; L&#039; B&#039; L&lt;br /&gt;
* S&#039; L&#039; U&#039; L U L F&#039; L&#039; f&lt;br /&gt;
* y x U R&#039; U&#039; l U R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y2 R&#039; U&#039; F U R U&#039; R&#039; F&#039; R&lt;br /&gt;
* L&#039; U&#039; B U L U&#039; L&#039; B&#039; L&lt;br /&gt;
&lt;br /&gt;
=== OLL 32 ===&lt;br /&gt;
[[Image:o32.gif]]&lt;br /&gt;
&lt;br /&gt;
* R d L&#039; d&#039; R&#039; U R B R&#039;&lt;br /&gt;
* S R U R&#039; U&#039; R&#039; F R f&#039;&lt;br /&gt;
* y x&#039; U&#039; R U l&#039; U&#039; R&#039; U&#039; R U R&#039; U R&lt;br /&gt;
* R U B&#039; U&#039; R&#039; U R B R&#039;&lt;br /&gt;
* y2 F U R U&#039; F&#039; r U R&#039; U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 43 ===&lt;br /&gt;
[[Image:o43.gif]]&lt;br /&gt;
&lt;br /&gt;
* f&#039; L&#039; U&#039; L U f&lt;br /&gt;
* B&#039; U&#039; R&#039; U R B&lt;br /&gt;
* y2 F&#039; U&#039; L&#039; U L F&lt;br /&gt;
* U R U R&#039; F&#039; L&#039; U&#039; L F&lt;br /&gt;
* y2 R&#039; U&#039; F R&#039; F&#039; R U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 44 ===&lt;br /&gt;
[[Image:o44.gif]]&lt;br /&gt;
&lt;br /&gt;
* f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y R U y&#039; L U&#039; L&#039; B&#039;&lt;br /&gt;
* y F U R&#039; F R F&#039; U&#039; F&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;W&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 36 ===&lt;br /&gt;
[[Image:o36.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U R B&#039; R&#039; B&lt;br /&gt;
* y2 (L&#039; U&#039; L U&#039;) (L&#039; U L U) (L F&#039; L&#039; F)&lt;br /&gt;
* (R U R&#039; U&#039;) y (L&#039; U2&#039; L U) y&#039; (R U R&#039;)&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 38 ===&lt;br /&gt;
[[Image:o38.gif]]&lt;br /&gt;
&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U&#039; L&#039; B L B&#039;&lt;br /&gt;
* y2 R U R&#039; U R U&#039; R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* (L&#039; U&#039; L U) y&#039; (R U2 R&#039; U&#039;) y (L&#039; U&#039; L)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;L&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 53 ===&lt;br /&gt;
[[Image:o53.gif]]&lt;br /&gt;
&lt;br /&gt;
* l&#039; U&#039; L U&#039; L&#039; U L U&#039; L&#039; U2 l&lt;br /&gt;
* l U2 L U L&#039; U&#039; L U L&#039; U&#039; l&#039;&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 r&lt;br /&gt;
* y&#039; r&#039; U2 R U R&#039; U&#039; R U R&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 54 ===&lt;br /&gt;
[[Image:o54.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U R U&#039; R&#039; U R U2 r&#039;&lt;br /&gt;
* y&#039; r U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* y2 l U L&#039; U L U&#039; L&#039; U L U2 l&#039; &lt;br /&gt;
* y l&#039; U2 L U L&#039; U&#039; L U L&#039; U&#039; l&lt;br /&gt;
&lt;br /&gt;
=== OLL 50 ===&lt;br /&gt;
[[Image:o50.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R2 B&#039; R2 F&#039; R2 B R&#039;&lt;br /&gt;
* r&#039; U r2 U&#039; r2&#039; U&#039; r2 U r&#039;&lt;br /&gt;
* R B&#039; R B R2&#039; U2 F R&#039; F&#039; R&lt;br /&gt;
* y2 l&#039; U l2 U&#039; l2 U&#039; l2 U l&#039;&lt;br /&gt;
* r&#039; U2 R2&#039; U R2 U rR U2 R&#039;&lt;br /&gt;
* y&#039; [R U2 R&#039; U&#039; R U&#039; R&#039;] [F R U R&#039; U&#039; F&#039;]&lt;br /&gt;
* (y x&#039;) U&#039; r U2 L&#039; U2 r&#039; U2 L U&#039; (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 47 ===&lt;br /&gt;
[[Image:o47.gif]]&lt;br /&gt;
&lt;br /&gt;
* F&#039; L&#039; U&#039; L U L&#039; U&#039; L U F&lt;br /&gt;
* R&#039; U&#039; x R&#039; U R U&#039; R&#039; U R U&#039; x&#039; U R&lt;br /&gt;
* b&#039; U&#039; R&#039; U R U&#039; R&#039; U R b&lt;br /&gt;
&lt;br /&gt;
=== OLL 48 ===&lt;br /&gt;
[[Image:o48.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 f U R U&#039; R&#039; U R U&#039; R&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 49 ===&lt;br /&gt;
[[Image:o49.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R2 F R2 B R2 F&#039; R&lt;br /&gt;
* l U&#039; l2&#039; U l2 U l2&#039; U&#039; l&lt;br /&gt;
* y2 r U&#039; r2 U r2 U r2 U&#039; r&lt;br /&gt;
* y2 R&#039; F R&#039; F&#039; R2 d2 y&#039; R&#039; F R F&#039;&lt;br /&gt;
* y2 r U2 R2&#039; U&#039; R2 U&#039; r&#039;R&#039; U2 R&lt;br /&gt;
* (y&#039; x&#039;) U l&#039; U2 R U2 l U2 R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;C&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 34 ===&lt;br /&gt;
[[Image:o34.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; x D&#039; R&#039; U R E&#039; z&#039;&lt;br /&gt;
* y2 R&#039; U&#039; R U y&#039;x&#039; R U L&#039; U&#039; M&#039;&lt;br /&gt;
* R U R&#039; U&#039; y&#039; Rw&#039; U&#039; R U M&#039;&lt;br /&gt;
* (R U R&#039; U&#039;) B&#039; (R U R&#039; F&#039;) B&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&lt;br /&gt;
* R U R2 U&#039; R&#039; F R U R U&#039; F&#039;&lt;br /&gt;
* y2 F R U R&#039; U&#039; R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 46 ===&lt;br /&gt;
[[Image:o46.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R&#039; F R F&#039; U R&lt;br /&gt;
* R&#039; U&#039; l&#039; U l F&#039; U R&lt;br /&gt;
* y F U F Lw&#039; U&#039; Lw U&#039; F&#039;&lt;br /&gt;
* R U l U&#039; R&#039; U F&#039; l&#039;&lt;br /&gt;
* y2 L F U&#039; R U R&#039; F&#039; L&#039;&lt;br /&gt;
* R U R&#039;2 U&#039; R&#039; F R U R U&#039; F&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;T&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 33 ===&lt;br /&gt;
[[Image:o33.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R&#039; U&#039; R U l U&#039; R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 45 ===&lt;br /&gt;
[[Image:o45.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* Fw&#039; U&#039; L&#039; U L Fw&lt;br /&gt;
* y2 Fw U R U&#039; R&#039; Fw&#039;&lt;br /&gt;
* y2 F&#039; L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;I&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 55 ===&lt;br /&gt;
[[Image:o55.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2 U&#039; R U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* R&#039; U2 R2 U R&#039; U R U2 y Lw&#039; U&#039; Lw&lt;br /&gt;
* Rw U2 R2 F R F&#039; U2 Rw&#039; F R F&#039;&lt;br /&gt;
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)&lt;br /&gt;
::(y) Rr U2 Rra&#039; U2 Rr U2 Rr&#039; U2 Rra U2 Rr&#039;&lt;br /&gt;
* y R&#039; F R U R&#039; F R U&#039; R&#039; F&#039; R U M&#039; U&#039; M&lt;br /&gt;
* L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; M&#039; U M&lt;br /&gt;
* (L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; L)(R&#039; F R) L&#039;&lt;br /&gt;
* R d&#039; R2 D R&#039; U2 R D&#039; R2 d R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
* Rw U Rw&#039; U R U&#039; R&#039; U R U&#039; R&#039; Rw U&#039; Rw&#039; &lt;br /&gt;
* Rw&#039; U&#039; Rw U&#039; R&#039; U R U&#039; R&#039; U R Rw&#039; U Rw&lt;br /&gt;
* L F L&#039; U R U&#039; R&#039; U R U&#039; R&#039; L F&#039; L&#039;&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; Rw U R&#039; U&#039; Rw&#039;&lt;br /&gt;
* R B R&#039; U L U&#039; L&#039; U L U&#039; L&#039; R B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 51 ===&lt;br /&gt;
[[Image:o51.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 f R U R&#039; U&#039; R U R&#039; U&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 52 ===&lt;br /&gt;
[[Image:o52.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; d R&#039; U R B&lt;br /&gt;
* R U R&#039; U R d&#039; R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 R&#039; U&#039; x U R&#039; U&#039; R U R&#039; U&#039; R x&#039; U R &lt;br /&gt;
* (R U R&#039; U R U2 R&#039;) U (F U R U&#039; R&#039; F&#039;)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Square shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 5 ===&lt;br /&gt;
[[Image:o5.gif]]&lt;br /&gt;
&lt;br /&gt;
* (r&#039; U2) (R U R&#039; U r)&lt;br /&gt;
* y2 l&#039; U2 L U L&#039; U l&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 6 ===&lt;br /&gt;
[[Image:o6.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 (r U2) (R&#039; U&#039; R U&#039;) r&#039;&lt;br /&gt;
* l U2 L&#039; U&#039; L U&#039; l&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Big lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 39 ===&lt;br /&gt;
[[Image:o39.gif]]&lt;br /&gt;
&lt;br /&gt;
* L F&#039; L&#039; U&#039; L U F U&#039; L&#039;&lt;br /&gt;
* y2 f&#039; L F L&#039; U&#039; L&#039; U L S&lt;br /&gt;
* y2 R B&#039; R&#039; U&#039; R U B U&#039; R&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; x R&#039; U&#039; R U x&#039; U F&#039; Lw&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 40 ===&lt;br /&gt;
[[Image:o40.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; U&#039; F&#039; U R&lt;br /&gt;
* y2 f R&#039; F&#039; R U R U&#039; R&#039; S&#039;&lt;br /&gt;
* y2 L&#039; B L U L&#039; U&#039; B&#039; U L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Small lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 7 ===&lt;br /&gt;
[[Image:o7.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U R U2 Rw&#039;&lt;br /&gt;
* F&#039; R&#039; F R U2 R U2 R&#039;&lt;br /&gt;
* L&#039; U2 L U2 L F&#039; L&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 8 ===&lt;br /&gt;
[[Image:o8.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* R U2 R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 11 ===&lt;br /&gt;
[[Image:o11.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R2 U R&#039; U R U2 R&#039; U r R&#039;&lt;br /&gt;
* y2 r U R&#039; U R&#039; F R F&#039; R U2 r&#039;&lt;br /&gt;
* y F&#039; L&#039; U&#039; L U F&#039; Y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R U R&#039; y&#039; U&#039; R&#039; U&#039; R y U R&#039; F&#039; R U R U&#039; R&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 12 ===&lt;br /&gt;
[[Image:o12.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y F R U R2 F R y&#039; R2 U R U2 R&#039;&lt;br /&gt;
* y&#039; r R2 U&#039; R U&#039; R&#039; U2 R U&#039; R r&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Fish shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 9 ===&lt;br /&gt;
[[Image:o9.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R&#039; U&#039; R y&#039; x&#039; R U&#039; R&#039; F R U R&#039; x&lt;br /&gt;
* y&#039; R&#039; U&#039; R x U&#039; R&#039; U y R U y&#039; R U&#039; x&#039;&lt;br /&gt;
* y&#039; R U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; R y Rw U&#039; Rw&#039; U Rw U Rw&lt;br /&gt;
&lt;br /&gt;
=== OLL 10 ===&lt;br /&gt;
[[Image:o10.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R U R&#039; y R&#039; F R U&#039; R&#039; F&#039; R&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; y&#039; R&#039;w U Rw U&#039; R&#039;w U&#039; Rw&lt;br /&gt;
* y&#039; R&#039; U&#039; R U R B&#039; R2 U&#039; R U B&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 35 ===&lt;br /&gt;
[[Image:o35.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 (R Lw) U&#039; R&#039; U Lw&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
=== OLL 37 ===&lt;br /&gt;
[[Image:o37.gif]]&lt;br /&gt;
&lt;br /&gt;
* x&#039; U&#039; R U l&#039; U&#039; R&#039; U R&lt;br /&gt;
* l U&#039; R&#039; U y&#039; R U R&#039; U&#039; z&#039;&lt;br /&gt;
* y F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y R&#039; F R F&#039; U&#039; F&#039; U F&lt;br /&gt;
* y F R&#039; F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* R B&#039; R&#039; B U B U&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Knight move shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 13 ===&lt;br /&gt;
[[Image:o13.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* F U R U2 R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 f R U R2 U&#039; R&#039; U R U&#039; f&#039;&lt;br /&gt;
* r U&#039; r&#039; U&#039; r U r&#039; y&#039; R&#039; U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 14 ===&lt;br /&gt;
[[Image:o14.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; F&#039; R y&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; y&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 B&#039; U&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 Rw&#039; U Rw U Rw&#039; U&#039; Rw y R U&#039; R&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 15 ===&lt;br /&gt;
[[Image:o15.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F&#039; R L&#039; U&#039; L U R&#039; F R&lt;br /&gt;
* r&#039; U&#039; r R&#039; U&#039; R U r&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 16 ===&lt;br /&gt;
[[Image:o16.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r U r&#039; R U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 r U M U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 F&#039; R U R&#039; U&#039; R&#039; F R U&#039; y&#039; R&#039; U R U y R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Awkward shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 29 ===&lt;br /&gt;
[[Image:o29.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; d&#039; L&#039; U&#039; L&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; U&#039; y&#039; R&#039; U&#039; R&lt;br /&gt;
* y2 R2&#039; U&#039; R F R&#039; U R2&#039; U&#039; R&#039; F&#039; R&lt;br /&gt;
* y (R U R&#039; U&#039;) (R U&#039; R&#039; F&#039;) U&#039; (F R U R&#039;)&lt;br /&gt;
* y R&#039; U2 R2 U R&#039; U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* M U (R U R&#039; U&#039;) (R&#039; F R F&#039;) M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F2&lt;br /&gt;
* l U&#039; R&#039; U l&#039; U2 d L U L&#039;&lt;br /&gt;
* f R U R2 U&#039; R&#039; U R2 U&#039; R&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; x&#039; U R&#039; D&#039; R U&#039; R&#039;&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B R&#039;&lt;br /&gt;
* M U&#039; (L&#039; U&#039; L U) (L F&#039; L&#039; F) M&#039;&lt;br /&gt;
* y2 M&#039; U&#039; (R&#039; U&#039; R U) x (R U&#039; R&#039; U) M x&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 41 ===&lt;br /&gt;
[[Image:o41.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R&#039; U2 R U y R U&#039; R&#039; y&#039; U&#039; R&#039;&lt;br /&gt;
* y R U2&#039; R&#039; U&#039; R U&#039; R2 (y) L&#039; U&#039; L U F&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y2 R U R&#039; U R U2 R&#039; F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 Rw R2 y&#039; R&#039; U&#039; R U y R U&#039; M&lt;br /&gt;
* y2 R2 L z&#039; l&#039; U&#039; R d L U&#039; L l&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw&#039; R2 y R U R&#039; U&#039; y&#039; R&#039; U M&#039;&lt;br /&gt;
* R&#039; U&#039; R U F R U R&#039; U&#039; R&#039; U R U&#039; F&#039;&lt;br /&gt;
* L&#039; U L U2 L&#039; U&#039; y&#039; L&#039; U L U F&lt;br /&gt;
* y R&#039; U2 R U R&#039; U R2 y R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y (R&#039;F R F&#039;)*2 R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z Rw U L&#039; Dw&#039; R&#039; U R&#039; Rw&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==All Corners Oriented==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 28 ===&lt;br /&gt;
[[Image:o28.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U&#039; Rw&#039; R U R U&#039; R&#039;&lt;br /&gt;
* y&#039; Rw&#039; U&#039; R U M&#039; U&#039; R&#039; U R&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; U2 F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* F R U R&#039; U&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&lt;br /&gt;
* y M U&#039; M&#039; U2 M U&#039; M&#039;&lt;br /&gt;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* y&#039; M U M2 U M&#039; U2 M U M &lt;br /&gt;
* M U M U M&#039; U&#039; M U&#039; M U M &lt;br /&gt;
* M U M&#039; U M U2 M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* y M U&#039; M U&#039; M&#039; U M U M U&#039; M &lt;br /&gt;
* y2 M U&#039; M2 U&#039; M&#039; U2 M U&#039; M &lt;br /&gt;
* y&#039; M U M&#039; U M U M&#039; U M U M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; M U M U M U&#039; M U&#039; M&#039; U M2&lt;br /&gt;
* y&#039; M2 U M&#039; U2 M U M U M U2 M&#039; U M&lt;br /&gt;
* y2 M&#039; U M U&#039; M U&#039; M U M U M&#039; U&#039; M2 &lt;br /&gt;
* M U&#039; M2 U2 M&#039; U&#039; M U2 M U&#039; M U&#039; M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; F2 M2 U&#039; M U F2 U M2 &lt;br /&gt;
* y2 M&#039; U F2 M2 U M U&#039; F2 U&#039; M2 &lt;br /&gt;
* R&#039; F R S R&#039; F&#039; R S&#039; &lt;br /&gt;
* L2 S U&#039; S&#039; U L2 U S U S&#039; &lt;br /&gt;
* y L F&#039; L&#039; S&#039; L F L&#039;S &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 57 ===&lt;br /&gt;
[[Image:o57.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; Rw R&#039; U R U&#039; Rw&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* R&#039; U&#039; R U M U&#039; R&#039; U Rw&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M&#039; U&#039; M&#039; U2 M U&#039; M U&#039; M&lt;br /&gt;
* M U M&#039; U&#039; M U M&#039; U M U2 M&#039;&lt;br /&gt;
* M&#039; U&#039; M U M&#039; U&#039; M U&#039; M&#039; U2 M&lt;br /&gt;
* M U M2 U2 M U M U2 M U&#039; M&#039; U&#039; M&#039;&lt;br /&gt;
* M&#039; U&#039; M2 U2 M&#039; U&#039; M&#039; U2 M&#039; U M U M&lt;br /&gt;
* M2 U&#039; M U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U M &lt;br /&gt;
* M2 U&#039; M&#039; U M U M U&#039; M U&#039; M U M&#039; &lt;br /&gt;
* y M&#039; U M&#039; U M&#039; U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* y M&#039; U M U M&#039; U M U&#039; M&#039; U&#039; M&lt;br /&gt;
* y M&#039; U&#039; M U&#039; M&#039; U&#039; M U M&#039; U M&lt;br /&gt;
* y M U&#039; M&#039; U&#039; M U&#039; M’ U M U M&#039;&lt;br /&gt;
* y M U M&#039; U M U M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* M U M&#039; U&#039; F2 M U M&#039; U&#039; F2 &lt;br /&gt;
* M&#039; U&#039; M U F2 M&#039; U&#039; M U F2&lt;br /&gt;
* M2 U&#039; F2 U&#039; M&#039; U M2 F2 U M&lt;br /&gt;
* F M&#039; F U M2 U2 M2 U F&#039; M F&#039; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[OLL (2x2x2)]]&lt;br /&gt;
* [[2-Look OLL]]&lt;br /&gt;
* [[PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5807</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=5807"/>
		<updated>2009-10-29T20:34:14Z</updated>

		<summary type="html">&lt;p&gt;Flooom: /* OLL 21 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].&lt;br /&gt;
&lt;br /&gt;
Parentheses in an algorithm signify the triggers of the algorithm.  For example, [(R U R&#039;) (L&#039; U L)] shows two triggers in the algorithm, even though it is the same as [R U R&#039; L&#039; U L].&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All edges flipped correctly==&lt;br /&gt;
This subgroup, &#039;&#039;&#039;OCLL&#039;&#039;&#039; is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. &lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== OLL 21 ===&lt;br /&gt;
[[Image:o21.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
* y R U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y F (R U R&#039; U&#039;) (R U R&#039; U&#039;) (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 R&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U L U2 L&#039;&lt;br /&gt;
* L&#039; U2 L U L&#039; U&#039; L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 22 ===&lt;br /&gt;
[[Image:o22.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; U&#039; R2 U&#039; R2&#039; U2 R&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 L&#039; U2 L2 U L2 U L2 U2 L&#039;&lt;br /&gt;
* R U2 R2 U&#039; R&#039; U R U&#039; R U&#039; R&#039; y M&#039; U2 M&lt;br /&gt;
* R&#039; U L U&#039; R U&#039; L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* y2 L U&#039; R&#039; U L&#039; U R U R&#039; U R&lt;br /&gt;
* y2 L&#039; U R U&#039; L U&#039; R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U L U L&#039; U L&lt;br /&gt;
&lt;br /&gt;
=== OLL 23 ===&lt;br /&gt;
[[Image:o23.gif]]&lt;br /&gt;
&lt;br /&gt;
* R2 D&#039; R U2 R&#039; D R U2 R&lt;br /&gt;
* R&#039; U2 R F U&#039; R&#039; U&#039; R U F&#039;&lt;br /&gt;
* l2 U&#039; R D2 R&#039; U R D2 R&lt;br /&gt;
* l2&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&lt;br /&gt;
* y&#039; R U R&#039; U&#039; (R U&#039; R&#039; U2)(R U&#039; R&#039; U2) R U R&#039;&lt;br /&gt;
* y2 R&#039; F2 R U2 R U2 R&#039; F2 R U2 R&#039;&lt;br /&gt;
* y2 R2 D R&#039; U2 R D&#039; R&#039; U2 R&#039;&lt;br /&gt;
* (R&#039; U&#039; R U) R&#039; U2 R2 U (R&#039; U R U2 R)&lt;br /&gt;
&lt;br /&gt;
=== OLL 24 ===&lt;br /&gt;
[[Image:o24.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039; x&#039;&lt;br /&gt;
* r U R&#039; U&#039; r&#039; F R F&#039;&lt;br /&gt;
* r U R&#039; U&#039; L&#039; U R U&#039;&lt;br /&gt;
* y&#039; F R U R&#039; U&#039; R U&#039; R U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y&#039; R U R2&#039; U&#039; R2 U&#039; R2&#039; U2&#039; R U&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R U&#039; R&#039; (U2 R U R&#039;) (U2 R U R&#039;) (U R U&#039; R&#039;)&lt;br /&gt;
* y  x D&#039; R&#039; U R D R&#039; U&#039; R x&#039;&lt;br /&gt;
* y  x&#039; U&#039; R&#039; D R U R&#039; D&#039; R x&lt;br /&gt;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
* y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R B&#039; R&#039; F&#039; R B&lt;br /&gt;
* y&#039; F&#039; r U R&#039; U&#039; r&#039; F R&lt;br /&gt;
* y&#039; x U R&#039; U&#039; L U R U&#039; r&#039;&lt;br /&gt;
* y R&#039; F&#039; L&#039; F R F&#039; L F&lt;br /&gt;
* y R&#039; U&#039; (R U R&#039; F&#039;) (R U R&#039; U&#039;) (R&#039; F R2)&lt;br /&gt;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#039;&lt;br /&gt;
* y2 F R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
* y2 l&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* y2 x&#039; L&#039; U&#039; R&#039; U L U&#039; R U&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
* x&#039; R&#039; D R U&#039; R&#039; D&#039; R U x&lt;br /&gt;
* x R&#039; U R D&#039; R&#039; U&#039; R D x&#039;&lt;br /&gt;
* D&#039; R&#039; U R D R&#039; U&#039; R&lt;br /&gt;
* l&#039; U&#039; L&#039; U R U&#039; L U x&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; R U R&#039; U&#039; R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 26 ===&lt;br /&gt;
[[Image:o26.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R&#039; U2 R&lt;br /&gt;
* y&#039; R U2 R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* L U2 L&#039; U&#039; L U&#039; L&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&lt;br /&gt;
* L&#039; U R U&#039; L U R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 27 ===&lt;br /&gt;
[[Image:o27.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y L&#039; U2 L U L&#039; UL&lt;br /&gt;
* y2 L U L&#039; U L U2 L&#039;&lt;br /&gt;
* R U&#039; L&#039; U R&#039; U&#039; L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==No edges flipped correctly==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 1 === &lt;br /&gt;
[[Image:o1.gif]]&lt;br /&gt;
&lt;br /&gt;
* (R U2) (R2&#039; F R F&#039; U2&#039;) (R&#039; F R F&#039;)&lt;br /&gt;
* R U B&#039; R B R2 U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 2 === &lt;br /&gt;
[[Image:o2.gif]]&lt;br /&gt;
&lt;br /&gt;
* F (R U R&#039; U&#039;) F&#039; f (R U R&#039; U&#039;) f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 3 ===&lt;br /&gt;
[[Image:o3.gif]]&lt;br /&gt;
&lt;br /&gt;
* y f (R U R&#039; U&#039;) f&#039; U&#039; F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* y2 r&#039; R2 U R&#039; U r U2 r&#039; U R&#039; r&lt;br /&gt;
* y2 M U Lw&#039; U2 Lw U L&#039; U L M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 4 ===&lt;br /&gt;
[[Image:o4.gif]]&lt;br /&gt;
&lt;br /&gt;
* f (R U R&#039; U&#039;) f&#039; U F (R U R&#039; U&#039;) F&#039;&lt;br /&gt;
* R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
* y r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
* y M U&#039; Rw U2&#039; Rw&#039; U&#039; R U&#039; R&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 17 ===&lt;br /&gt;
[[Image:o17.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* Fw R U R&#039; U&#039; y&#039; M U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 18 ===&lt;br /&gt;
[[Image:o18.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; r U R&#039; U R U2 r2&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* y2 F R U R&#039; d R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
* R U2 R2 F R F&#039; U2 M&#039; U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 19 ===&lt;br /&gt;
[[Image:o19.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; U2 R U R&#039; U r2 U2&#039; R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* R&#039; U2 F R U R&#039; U&#039; y&#039; R2 U2 R B&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; r R2&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 20 ===&lt;br /&gt;
[[Image:o20.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R U R U R&#039; U&#039; r2 R2&#039; U R U&#039; r&#039;&lt;br /&gt;
* M U R U R&#039; U&#039; M2 U R U&#039; r&#039;&lt;br /&gt;
* Rw U R&#039; U&#039; M2 (U R U&#039; R&#039;) U&#039; M&#039;&lt;br /&gt;
* M&#039; U2 M&#039; U2 M&#039; U M U2 M U2 M&lt;br /&gt;
* M&#039; U2 M U2 M&#039; U M U2 M&#039; U2 M&lt;br /&gt;
* M U2 M&#039; U2 M U M&#039; U2 M U2 M&#039; U&#039; &lt;br /&gt;
* M U2 M U2 M U M&#039; U2 M&#039; U2 M&#039; U&#039;&lt;br /&gt;
* M&#039; U M&#039; U M&#039; U M&#039; U M U M U M U M U&lt;br /&gt;
* M&#039; U M U M&#039; U2 M&#039; U M&#039; U M U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M U&#039; M&#039; U2 M&#039; U&#039; M&#039; U&#039; M U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* M&#039; U&#039; M U2 M&#039; U&#039; M2 U M&#039; U2 M U M&#039;&lt;br /&gt;
* M d r2 U M&#039; U2 M U r2 S&#039;&lt;br /&gt;
* M U M F R&#039;F&#039; M2 F R F&#039; U&#039;&lt;br /&gt;
* R2 U2 R&#039; F2 U2 R2 F&#039; R2 U2 F2 R U2 R2 U&#039; &lt;br /&gt;
* R B U B&#039; R&#039; F2 B D&#039; L&#039; D B&#039;F2 &lt;br /&gt;
* L&#039; R&#039; F&#039; U2 L2 U2 L2 U2 L2 F L R &lt;br /&gt;
* F U2 F&#039; U L&#039; U&#039; B&#039; R&#039; U2 R U&#039; B U L &lt;br /&gt;
* F2 M F2 M2 U&#039; M2 F2 M&#039; F2 U &lt;br /&gt;
* F2 M F2 U&#039; M2 U B2 M B2 &lt;br /&gt;
* F&#039; B&#039; R E S R S&#039; R2 E&#039; F B &lt;br /&gt;
* B&#039; R&#039; B F2 U&#039; R&#039; U&#039; R&#039; F R2 U F2 R &lt;br /&gt;
* B L B&#039; F2 U L U L F&#039; L2 U&#039; F2 L&#039; &lt;br /&gt;
* S U S2 U&#039; L U L S L&#039; U&#039; L&#039; &lt;br /&gt;
* S&#039; U&#039; S2 U R&#039; U&#039; R&#039; S&#039; R U R&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;P&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 31 ===&lt;br /&gt;
[[Image:o31.gif]]&lt;br /&gt;
&lt;br /&gt;
* L&#039; d&#039; R d L U&#039; L&#039; B&#039; L&lt;br /&gt;
* S&#039; L&#039; U&#039; L U L F&#039; L&#039; f&lt;br /&gt;
* y x U R&#039; U&#039; l U R U R&#039; U&#039; R U&#039; R&#039;&lt;br /&gt;
* y2 R&#039; U&#039; F U R U&#039; R&#039; F&#039; R&lt;br /&gt;
* L&#039; U&#039; B U L U&#039; L&#039; B&#039; L&lt;br /&gt;
&lt;br /&gt;
=== OLL 32 ===&lt;br /&gt;
[[Image:o32.gif]]&lt;br /&gt;
&lt;br /&gt;
* R d L&#039; d&#039; R&#039; U R B R&#039;&lt;br /&gt;
* S R U R&#039; U&#039; R&#039; F R f&#039;&lt;br /&gt;
* y x&#039; U&#039; R U l&#039; U&#039; R&#039; U&#039; R U R&#039; U R&lt;br /&gt;
* R U B&#039; U&#039; R&#039; U R B R&#039;&lt;br /&gt;
* y2 F U R U&#039; F&#039; r U R&#039; U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 43 ===&lt;br /&gt;
[[Image:o43.gif]]&lt;br /&gt;
&lt;br /&gt;
* f&#039; L&#039; U&#039; L U f&lt;br /&gt;
* B&#039; U&#039; R&#039; U R B&lt;br /&gt;
* y2 F&#039; U&#039; L&#039; U L F&lt;br /&gt;
* U R U R&#039; F&#039; L&#039; U&#039; L F&lt;br /&gt;
* y2 R&#039; U&#039; F R&#039; F&#039; R U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 44 ===&lt;br /&gt;
[[Image:o44.gif]]&lt;br /&gt;
&lt;br /&gt;
* f R U R&#039; U&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y R U y&#039; L U&#039; L&#039; B&#039;&lt;br /&gt;
* y F U R&#039; F R F&#039; U&#039; F&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;W&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 36 ===&lt;br /&gt;
[[Image:o36.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; U R U R B&#039; R&#039; B&lt;br /&gt;
* y2 (L&#039; U&#039; L U&#039;) (L&#039; U L U) (L F&#039; L&#039; F)&lt;br /&gt;
* (R U R&#039; U&#039;) y (L&#039; U2&#039; L U) y&#039; (R U R&#039;)&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 38 ===&lt;br /&gt;
[[Image:o38.gif]]&lt;br /&gt;
&lt;br /&gt;
* L U L&#039; U L U&#039; L&#039; U&#039; L&#039; B L B&#039;&lt;br /&gt;
* y2 R U R&#039; U R U&#039; R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* (L&#039; U&#039; L U) y&#039; (R U2 R&#039; U&#039;) y (L&#039; U&#039; L)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;L&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 53 ===&lt;br /&gt;
[[Image:o53.gif]]&lt;br /&gt;
&lt;br /&gt;
* l&#039; U&#039; L U&#039; L&#039; U L U&#039; L&#039; U2 l&lt;br /&gt;
* l U2 L U L&#039; U&#039; L U L&#039; U&#039; l&#039;&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039; U2 r&lt;br /&gt;
* y&#039; r&#039; U2 R U R&#039; U&#039; R U R&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 54 ===&lt;br /&gt;
[[Image:o54.gif]]&lt;br /&gt;
&lt;br /&gt;
* r U R&#039; U R U&#039; R&#039; U R U2 r&#039;&lt;br /&gt;
* y&#039; r U2 R&#039; U&#039; R U R&#039; U&#039; R U&#039; r&#039;&lt;br /&gt;
* y2 l U L&#039; U L U&#039; L&#039; U L U2 l&#039; &lt;br /&gt;
* y l&#039; U2 L U L&#039; U&#039; L U L&#039; U&#039; l&lt;br /&gt;
&lt;br /&gt;
=== OLL 50 ===&lt;br /&gt;
[[Image:o50.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R2 B&#039; R2 F&#039; R2 B R&#039;&lt;br /&gt;
* r&#039; U r2 U&#039; r2&#039; U&#039; r2 U r&#039;&lt;br /&gt;
* R B&#039; R B R2&#039; U2 F R&#039; F&#039; R&lt;br /&gt;
* y2 l&#039; U l2 U&#039; l2 U&#039; l2 U l&#039;&lt;br /&gt;
* r&#039; U2 R2&#039; U R2 U rR U2 R&#039;&lt;br /&gt;
* y&#039; [R U2 R&#039; U&#039; R U&#039; R&#039;] [F R U R&#039; U&#039; F&#039;]&lt;br /&gt;
* (y x&#039;) U&#039; r U2 L&#039; U2 r&#039; U2 L U&#039; (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 47 ===&lt;br /&gt;
[[Image:o47.gif]]&lt;br /&gt;
&lt;br /&gt;
* F&#039; L&#039; U&#039; L U L&#039; U&#039; L U F&lt;br /&gt;
* R&#039; U&#039; x R&#039; U R U&#039; R&#039; U R U&#039; x&#039; U R&lt;br /&gt;
* b&#039; U&#039; R&#039; U R U&#039; R&#039; U R b&lt;br /&gt;
&lt;br /&gt;
=== OLL 48 ===&lt;br /&gt;
[[Image:o48.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 f U R U&#039; R&#039; U R U&#039; R&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 49 ===&lt;br /&gt;
[[Image:o49.gif]]&lt;br /&gt;
&lt;br /&gt;
* R B&#039; R2 F R2 B R2 F&#039; R&lt;br /&gt;
* l U&#039; l2&#039; U l2 U l2&#039; U&#039; l&lt;br /&gt;
* y2 r U&#039; r2 U r2 U r2 U&#039; r&lt;br /&gt;
* y2 R&#039; F R&#039; F&#039; R2 d2 y&#039; R&#039; F R F&#039;&lt;br /&gt;
* y2 r U2 R2&#039; U&#039; R2 U&#039; r&#039;R&#039; U2 R&lt;br /&gt;
* (y&#039; x&#039;) U l&#039; U2 R U2 l U2 R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;C&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 34 ===&lt;br /&gt;
[[Image:o34.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; x D&#039; R&#039; U R E&#039; z&#039;&lt;br /&gt;
* y2 R&#039; U&#039; R U y&#039;x&#039; R U L&#039; U&#039; M&#039;&lt;br /&gt;
* R U R&#039; U&#039; y&#039; Rw&#039; U&#039; R U M&#039;&lt;br /&gt;
* (R U R&#039; U&#039;) B&#039; (R U R&#039; F&#039;) B&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&lt;br /&gt;
* R U R2 U&#039; R&#039; F R U R U&#039; F&#039;&lt;br /&gt;
* y2 F R U R&#039; U&#039; R&#039; F&#039; r U R U&#039; r&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 46 ===&lt;br /&gt;
[[Image:o46.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R&#039; F R F&#039; U R&lt;br /&gt;
* R&#039; U&#039; l&#039; U l F&#039; U R&lt;br /&gt;
* y F U F Lw&#039; U&#039; Lw U&#039; F&#039;&lt;br /&gt;
* R U l U&#039; R&#039; U F&#039; l&#039;&lt;br /&gt;
* y2 L F U&#039; R U R&#039; F&#039; L&#039;&lt;br /&gt;
* R U R&#039;2 U&#039; R&#039; F R U R U&#039; F&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;T&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 33 ===&lt;br /&gt;
[[Image:o33.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; R&#039; F R F&#039;&lt;br /&gt;
* R&#039; U&#039; R U l U&#039; R&#039; U (x)&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 45 ===&lt;br /&gt;
[[Image:o45.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* Fw&#039; U&#039; L&#039; U L Fw&lt;br /&gt;
* y2 Fw U R U&#039; R&#039; Fw&#039;&lt;br /&gt;
* y2 F&#039; L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==&amp;quot;I&amp;quot; shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 55 ===&lt;br /&gt;
[[Image:o55.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2 U&#039; R U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* R&#039; U2 R2 U R&#039; U R U2 y Lw&#039; U&#039; Lw&lt;br /&gt;
* Rw U2 R2 F R F&#039; U2 Rw&#039; F R F&#039;&lt;br /&gt;
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)&lt;br /&gt;
::(y) Rr U2 Rra&#039; U2 Rr U2 Rr&#039; U2 Rra U2 Rr&#039;&lt;br /&gt;
* y R&#039; F R U R&#039; F R U&#039; R&#039; F&#039; R U M&#039; U&#039; M&lt;br /&gt;
* L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; M&#039; U M&lt;br /&gt;
* (L F&#039; L&#039; U&#039; L F&#039; L&#039; U L F L&#039; U&#039; L)(R&#039; F R) L&#039;&lt;br /&gt;
* R d&#039; R2 D R&#039; U2 R D&#039; R2 d R&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
* Rw U Rw&#039; U R U&#039; R&#039; U R U&#039; R&#039; Rw U&#039; Rw&#039; &lt;br /&gt;
* Rw&#039; U&#039; Rw U&#039; R&#039; U R U&#039; R&#039; U R Rw&#039; U Rw&lt;br /&gt;
* L F L&#039; U R U&#039; R&#039; U R U&#039; R&#039; L F&#039; L&#039;&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; Rw U R&#039; U&#039; Rw&#039;&lt;br /&gt;
* R B R&#039; U L U&#039; L&#039; U L U&#039; L&#039; R B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 51 ===&lt;br /&gt;
[[Image:o51.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 f R U R&#039; U&#039; R U R&#039; U&#039; f&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 52 ===&lt;br /&gt;
[[Image:o52.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; U&#039; R U&#039; R&#039; d R&#039; U R B&lt;br /&gt;
* R U R&#039; U R d&#039; R U&#039; R&#039; F&#039;&lt;br /&gt;
* y2 R&#039; U&#039; x U R&#039; U&#039; R U R&#039; U&#039; R x&#039; U R &lt;br /&gt;
* (R U R&#039; U R U2 R&#039;) U (F U R U&#039; R&#039; F&#039;)&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Square shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 5 ===&lt;br /&gt;
[[Image:o5.gif]]&lt;br /&gt;
&lt;br /&gt;
* (r&#039; U2) (R U R&#039; U r)&lt;br /&gt;
* y2 l&#039; U2 L U L&#039; U l&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 6 ===&lt;br /&gt;
[[Image:o6.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 (r U2) (R&#039; U&#039; R U&#039;) r&#039;&lt;br /&gt;
* l U2 L&#039; U&#039; L U&#039; l&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Big lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 39 ===&lt;br /&gt;
[[Image:o39.gif]]&lt;br /&gt;
&lt;br /&gt;
* L F&#039; L&#039; U&#039; L U F U&#039; L&#039;&lt;br /&gt;
* y2 f&#039; L F L&#039; U&#039; L&#039; U L S&lt;br /&gt;
* y2 R B&#039; R&#039; U&#039; R U B U&#039; R&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; x R&#039; U&#039; R U x&#039; U F&#039; Lw&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 40 ===&lt;br /&gt;
[[Image:o40.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; U&#039; F&#039; U R&lt;br /&gt;
* y2 f R&#039; F&#039; R U R U&#039; R&#039; S&#039;&lt;br /&gt;
* y2 L&#039; B L U L&#039; U&#039; B&#039; U L&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Small lightning bolt shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 7 ===&lt;br /&gt;
[[Image:o7.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U R U2 Rw&#039;&lt;br /&gt;
* F&#039; R&#039; F R U2 R U2 R&#039;&lt;br /&gt;
* L&#039; U2 L U2 L F&#039; L&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 8 ===&lt;br /&gt;
[[Image:o8.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r&#039; U&#039; R U&#039; R&#039; U2 r&lt;br /&gt;
* R U2 R&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 11 ===&lt;br /&gt;
[[Image:o11.gif]]&lt;br /&gt;
&lt;br /&gt;
* r&#039; R2 U R&#039; U R U2 R&#039; U r R&#039;&lt;br /&gt;
* y2 r U R&#039; U R&#039; F R F&#039; R U2 r&#039;&lt;br /&gt;
* y F&#039; L&#039; U&#039; L U F&#039; Y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* R U R&#039; y&#039; U&#039; R&#039; U&#039; R y U R&#039; F&#039; R U R U&#039; R&#039; F&lt;br /&gt;
&lt;br /&gt;
=== OLL 12 ===&lt;br /&gt;
[[Image:o12.gif]]&lt;br /&gt;
&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; y F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y F R U R2 F R y&#039; R2 U R U2 R&#039;&lt;br /&gt;
* y&#039; r R2 U&#039; R U&#039; R&#039; U2 R U&#039; R r&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Fish shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 9 ===&lt;br /&gt;
[[Image:o9.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R&#039; U&#039; R y&#039; x&#039; R U&#039; R&#039; F R U R&#039; x&lt;br /&gt;
* y&#039; R&#039; U&#039; R x U&#039; R&#039; U y R U y&#039; R U&#039; x&#039;&lt;br /&gt;
* y&#039; R U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; R y Rw U&#039; Rw&#039; U Rw U Rw&lt;br /&gt;
&lt;br /&gt;
=== OLL 10 ===&lt;br /&gt;
[[Image:o10.gif]]&lt;br /&gt;
&lt;br /&gt;
* y&#039; R U R&#039; y R&#039; F R U&#039; R&#039; F&#039; R&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R U R&#039; y&#039; R&#039;w U Rw U&#039; R&#039;w U&#039; Rw&lt;br /&gt;
* y&#039; R&#039; U&#039; R U R B&#039; R2 U&#039; R U B&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 35 ===&lt;br /&gt;
[[Image:o35.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U2 R2&#039; F R F&#039; R U2 R&#039;&lt;br /&gt;
* y&#039; R&#039; U2 (R Lw) U&#039; R&#039; U Lw&#039; U2 R&lt;br /&gt;
&lt;br /&gt;
=== OLL 37 ===&lt;br /&gt;
[[Image:o37.gif]]&lt;br /&gt;
&lt;br /&gt;
* x&#039; U&#039; R U l&#039; U&#039; R&#039; U R&lt;br /&gt;
* l U&#039; R&#039; U y&#039; R U R&#039; U&#039; z&#039;&lt;br /&gt;
* y F R U&#039; R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y R&#039; F R F&#039; U&#039; F&#039; U F&lt;br /&gt;
* y F R&#039; F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* R B&#039; R&#039; B U B U&#039; B&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Knight move shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 13 ===&lt;br /&gt;
[[Image:o13.gif]]&lt;br /&gt;
&lt;br /&gt;
* F U R U&#039; R2 F&#039; R U R U&#039; R&#039;&lt;br /&gt;
* F U R U2 R&#039; U&#039; R U R&#039; F&#039;&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 f R U R2 U&#039; R&#039; U R U&#039; f&#039;&lt;br /&gt;
* r U&#039; r&#039; U&#039; r U r&#039; y&#039; R&#039; U R&lt;br /&gt;
&lt;br /&gt;
=== OLL 14 ===&lt;br /&gt;
[[Image:o14.gif]]&lt;br /&gt;
&lt;br /&gt;
* R&#039; F R U R&#039; F&#039; R y&#039; R U&#039; R&#039;&lt;br /&gt;
* y&#039; R&#039; U&#039; y&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 B&#039; U&#039; R&#039; U R2 B R&#039; U&#039; R&#039; U R&lt;br /&gt;
* y2 x&#039; R U&#039; R&#039; F&#039; R U R&#039; x y R&#039; U R&lt;br /&gt;
* y2 Rw&#039; U Rw U Rw&#039; U&#039; Rw y R U&#039; R&#039;&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 15 ===&lt;br /&gt;
[[Image:o15.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F&#039; R L&#039; U&#039; L U R&#039; F R&lt;br /&gt;
* r&#039; U&#039; r R&#039; U&#039; R U r&#039; U r&lt;br /&gt;
&lt;br /&gt;
=== OLL 16 ===&lt;br /&gt;
[[Image:o16.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 r U r&#039; R U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 r U M U R&#039; U&#039; r U&#039; r&#039;&lt;br /&gt;
* y2 F&#039; R U R&#039; U&#039; R&#039; F R U&#039; y&#039; R&#039; U R U y R U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Awkward shapes==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 29 ===&lt;br /&gt;
[[Image:o29.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; d&#039; L&#039; U&#039; L&lt;br /&gt;
* y2 R&#039; F R F&#039; R U2 R&#039; U&#039; y&#039; R&#039; U&#039; R&lt;br /&gt;
* y2 R2&#039; U&#039; R F R&#039; U R2&#039; U&#039; R&#039; F&#039; R&lt;br /&gt;
* y (R U R&#039; U&#039;) (R U&#039; R&#039; F&#039;) U&#039; (F R U R&#039;)&lt;br /&gt;
* y R&#039; U2 R2 U R&#039; U&#039; R&#039; U2 F R F&#039;&lt;br /&gt;
* M U (R U R&#039; U&#039;) (R&#039; F R F&#039;) M&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 F R&#039; F R2 U&#039; R&#039; U&#039; R U R&#039; F2&lt;br /&gt;
* l U&#039; R&#039; U l&#039; U2 d L U L&#039;&lt;br /&gt;
* f R U R2 U&#039; R&#039; U R2 U&#039; R&#039; f&#039;&lt;br /&gt;
* y2 F U R U&#039; x&#039; U R&#039; D&#039; R U&#039; R&#039;&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B R&#039;&lt;br /&gt;
* M U&#039; (L&#039; U&#039; L U) (L F&#039; L&#039; F) M&#039;&lt;br /&gt;
* y2 M&#039; U&#039; (R&#039; U&#039; R U) x (R U&#039; R&#039; U) M x&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 41 ===&lt;br /&gt;
[[Image:o41.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U&#039; R&#039; U2 R U y R U&#039; R&#039; y&#039; U&#039; R&#039;&lt;br /&gt;
* y R U2&#039; R&#039; U&#039; R U&#039; R2 (y) L&#039; U&#039; L U F&lt;br /&gt;
* y2 F U R U&#039; R&#039; F&#039; R&#039; U2 R U R&#039; U R&lt;br /&gt;
* y2 R U R&#039; U R U2 R&#039; F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y2 Rw R2 y&#039; R&#039; U&#039; R U y R U&#039; M&lt;br /&gt;
* y2 R2 L z&#039; l&#039; U&#039; R d L U&#039; L l&#039;&lt;br /&gt;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw&#039; R2 y R U R&#039; U&#039; y&#039; R&#039; U M&#039;&lt;br /&gt;
* R&#039; U&#039; R U F R U R&#039; U&#039; R&#039; U R U&#039; F&#039;&lt;br /&gt;
* L&#039; U L U2 L&#039; U&#039; y&#039; L&#039; U L U F&lt;br /&gt;
* y R&#039; U2 R U R&#039; U R2 y R U R&#039; U&#039; F&#039;&lt;br /&gt;
* y (R&#039;F R F&#039;)*2 R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z Rw U L&#039; Dw&#039; R&#039; U R&#039; Rw&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==All Corners Oriented==&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|width=&amp;quot;50%&amp;quot;|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== OLL 28 ===&lt;br /&gt;
[[Image:o28.gif]]&lt;br /&gt;
&lt;br /&gt;
* Rw U R&#039; U&#039; Rw&#039; R U R U&#039; R&#039;&lt;br /&gt;
* y&#039; Rw&#039; U&#039; R U M&#039; U&#039; R&#039; U R&lt;br /&gt;
* F R U R&#039; U&#039; F&#039; U2 F R U R&#039; U&#039; F&#039;&lt;br /&gt;
* F R U R&#039; U&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&lt;br /&gt;
* y M U&#039; M&#039; U2 M U&#039; M&#039;&lt;br /&gt;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* y&#039; M U M2 U M&#039; U2 M U M &lt;br /&gt;
* M U M U M&#039; U&#039; M U&#039; M U M &lt;br /&gt;
* M U M&#039; U M U2 M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* y M U&#039; M U&#039; M&#039; U M U M U&#039; M &lt;br /&gt;
* y2 M U&#039; M2 U&#039; M&#039; U2 M U&#039; M &lt;br /&gt;
* y&#039; M U M&#039; U M U M&#039; U M U M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; M U M U M U&#039; M U&#039; M&#039; U M2&lt;br /&gt;
* y&#039; M2 U M&#039; U2 M U M U M U2 M&#039; U M&lt;br /&gt;
* y2 M&#039; U M U&#039; M U&#039; M U M U M&#039; U&#039; M2 &lt;br /&gt;
* M U&#039; M2 U2 M&#039; U&#039; M U2 M U&#039; M U&#039; M&#039; &lt;br /&gt;
* y&#039; M&#039; U&#039; F2 M2 U&#039; M U F2 U M2 &lt;br /&gt;
* y2 M&#039; U F2 M2 U M U&#039; F2 U&#039; M2 &lt;br /&gt;
* R&#039; F R S R&#039; F&#039; R S&#039; &lt;br /&gt;
* L2 S U&#039; S&#039; U L2 U S U S&#039; &lt;br /&gt;
* y L F&#039; L&#039; S&#039; L F L&#039;S &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 57 ===&lt;br /&gt;
[[Image:o57.gif]]&lt;br /&gt;
&lt;br /&gt;
* R U R&#039; U&#039; Rw R&#039; U R U&#039; Rw&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* R&#039; U&#039; R U M U&#039; R&#039; U Rw&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; &lt;br /&gt;
* M&#039; U&#039; M&#039; U&#039; M&#039; U2 M U&#039; M U&#039; M&lt;br /&gt;
* M U M&#039; U&#039; M U M&#039; U M U2 M&#039;&lt;br /&gt;
* M&#039; U&#039; M U M&#039; U&#039; M U&#039; M&#039; U2 M&lt;br /&gt;
* M U M2 U2 M U M U2 M U&#039; M&#039; U&#039; M&#039;&lt;br /&gt;
* M&#039; U&#039; M2 U2 M&#039; U&#039; M&#039; U2 M&#039; U M U M&lt;br /&gt;
* M2 U&#039; M U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U M &lt;br /&gt;
* M2 U&#039; M&#039; U M U M U&#039; M U&#039; M U M&#039; &lt;br /&gt;
* y M&#039; U M&#039; U M&#039; U M&#039; U M&#039; U&#039; M&#039; U&#039; M&#039; U&#039; M&#039; &lt;br /&gt;
* y M&#039; U M U M&#039; U M U&#039; M&#039; U&#039; M&lt;br /&gt;
* y M&#039; U&#039; M U&#039; M&#039; U&#039; M U M&#039; U M&lt;br /&gt;
* y M U&#039; M&#039; U&#039; M U&#039; M’ U M U M&#039;&lt;br /&gt;
* y M U M&#039; U M U M&#039; U&#039; M U&#039; M&#039;&lt;br /&gt;
* M U M&#039; U&#039; F2 M U M&#039; U&#039; F2 &lt;br /&gt;
* M&#039; U&#039; M U F2 M&#039; U&#039; M U F2&lt;br /&gt;
* M2 U&#039; F2 U&#039; M&#039; U M2 F2 U M&lt;br /&gt;
* F M&#039; F U M2 U2 M2 U F&#039; M F&#039; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[OLL (2x2x2)]]&lt;br /&gt;
* [[2-Look OLL]]&lt;br /&gt;
* [[PLL]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:3x3x3 Methods]]&lt;br /&gt;
[[Category:Last Layer Methods]]&lt;br /&gt;
[[Category:Cubing Terminology]]&lt;br /&gt;
[[Category:Abbreviations and Acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Sub Steps]]&lt;/div&gt;</summary>
		<author><name>Flooom</name></author>
	</entry>
</feed>