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	<updated>2026-10-21T09:28:00Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=Screw_(method)&amp;diff=27432</id>
		<title>Screw (method)</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=Screw_(method)&amp;diff=27432"/>
		<updated>2015-11-04T23:07:04Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* Description of method */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;==Overview==&lt;br /&gt;
This is a [[Square-1]] method that follows the same basic steps in the 3x3x3 [[Roux method]] and is somewhat of an experimental method.&lt;br /&gt;
&lt;br /&gt;
==Description of method==&lt;br /&gt;
#Solve the LD block (2 corners, 1 edge)&lt;br /&gt;
#Solve the RD block (2 corners, 1 edge)&lt;br /&gt;
#Permute the U-layer corners without breaking the blocks&lt;br /&gt;
#Solve the L-R edges on the U layer&lt;br /&gt;
#Solve the M-slice edges&lt;br /&gt;
#Solve parity&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[https://www.speedsolving.com/forum/showthread.php?44177-The-Square-1-quot-Example-Solve-quot-Game.html The Square-1 example solve thread]&lt;br /&gt;
*[https://www.speedsolving.com/forum/showthread.php?20295-Square-1-Tutorial-Roux-Method-.html The Roux n Skrew thread]&lt;br /&gt;
*[https://m.youtube.com/?hl=en-GB&amp;amp;gl=GB#/watch?v=PUgpi7S84VU.html Video describing the method]&lt;br /&gt;
*[[Square-1 methods]]&lt;br /&gt;
*[[Vandenbergh]]&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=Parity&amp;diff=5613</id>
		<title>Parity</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=Parity&amp;diff=5613"/>
		<updated>2009-09-15T01:21:34Z</updated>

		<summary type="html">&lt;p&gt;Vault312: Replacing page with &amp;#039;This page is currently under construction.&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page is currently under construction.&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=SS_Method&amp;diff=5609</id>
		<title>SS Method</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=SS_Method&amp;diff=5609"/>
		<updated>2009-09-15T01:00:31Z</updated>

		<summary type="html">&lt;p&gt;Vault312: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Method Infobox&lt;br /&gt;
|name=SS&lt;br /&gt;
|image=Ss_method.gif&lt;br /&gt;
|proposers&lt;br /&gt;
|year&lt;br /&gt;
|anames&lt;br /&gt;
|variants&lt;br /&gt;
|steps=3&lt;br /&gt;
|algs=61&lt;br /&gt;
|moves&lt;br /&gt;
|purpose=&amp;lt;sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
* [[Speedsolving]]&lt;br /&gt;
}}&lt;br /&gt;
The SS method (Stern-Sun) has three steps. First you solve 3/4 of a face, then you finish the face while orienting the opposite face, and finally you permute both layers at once. Without counting reflections, there are 60 algorithms, including the 5 [[PBLs]].&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[CLS]]&lt;br /&gt;
&lt;br /&gt;
== External Links ==&lt;br /&gt;
TODO...&lt;br /&gt;
&lt;br /&gt;
[[Category:Methods]]&lt;br /&gt;
[[Category:2x2x2 Methods]]&lt;br /&gt;
[[Category:2x2x2 Speedsolving Methods]]&lt;br /&gt;
&lt;br /&gt;
{{Stub}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=3310</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=3310"/>
		<updated>2009-04-04T05:10:25Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* OLL 14 */&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. &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;
{|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 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;
&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;
&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;
* y&#039; F R&#039; F&#039; R U R U&#039; R&#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;
* 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;
* 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;
* 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;
&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;
&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;
&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;
&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;
* 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 d r2 U M&#039; U2 M U r2 S&#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;
|}&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;
&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;
&lt;br /&gt;
|}&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;
&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;
&lt;br /&gt;
|}&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;
* 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;
&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;
||&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;
&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;&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&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;
=== 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;
* 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;
&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;
&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;
&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;
** 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;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
&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;
* r&#039; U&#039; r U&#039; R&#039; U R U&#039; R&#039; U R r&#039; U r&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; r U R&#039; U&#039; r&#039;&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;
&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;
&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;
&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;
* (r U R&#039; U) (R U2 r&#039;)&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;
&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;
&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;
&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 U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&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;
&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;
&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;
* 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;
* 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;
||&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;
&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 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;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&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;
&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; U&#039; F&#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 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;
* 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; R&#039; F R F&#039; R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z r U L&#039; d&#039; R&#039; U R&#039; r&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;
* r U R&#039; U&#039; r&#039; R U R U&#039; R&#039;&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;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&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; r R&#039; U R U&#039; r&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; U2&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; U&#039; &lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 methods]]&lt;br /&gt;
[[Category:Cubing abbreviations and acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=3309</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=3309"/>
		<updated>2009-04-04T05:09:26Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* OLL 10 */&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. &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;
{|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 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;
&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;
&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;
* y&#039; F R&#039; F&#039; R U R U&#039; R&#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;
* 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;
* 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;
* 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;
&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;
&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;
&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;
&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;
* 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 d r2 U M&#039; U2 M U r2 S&#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;
|}&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;
&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;
&lt;br /&gt;
|}&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;
&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;
&lt;br /&gt;
|}&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;
* 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;
&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;
||&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;
&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;&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&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;
=== 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;
* 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;
&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;
&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;
&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;
** 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;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
&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;
* r&#039; U&#039; r U&#039; R&#039; U R U&#039; R&#039; U R r&#039; U r&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; r U R&#039; U&#039; r&#039;&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;
&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;
&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;
&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;
* (r U R&#039; U) (R U2 r&#039;)&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;
&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;
&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;
&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 U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&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;
&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;
&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;
* 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;
* 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;
&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;
&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 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;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&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;
&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; U&#039; F&#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 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;
* 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; R&#039; F R F&#039; R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
* y2  L2 R&#039; z r U L&#039; d&#039; R&#039; U R&#039; r&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;
* r U R&#039; U&#039; r&#039; R U R U&#039; R&#039;&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;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&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; r R&#039; U R U&#039; r&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; U2&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; U&#039; &lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 methods]]&lt;br /&gt;
[[Category:Cubing abbreviations and acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=3196</id>
		<title>OLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=OLL&amp;diff=3196"/>
		<updated>2009-02-09T19:57:46Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* OLL 34 */&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. &lt;br /&gt;
&lt;br /&gt;
Parenthesis 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 peices on the top layer. You can tell if a peice is oriented by looking at the top color of the peice in relation to the top center of the cube. If the peice 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 peice represents where the [[sticker]] that needs to on top for it to be oriented is.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==All 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 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;
&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;
* l2 U&#039; R D2 R&#039; U R D2 R&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&#039; U&#039; z&#039; U R2 U&#039; L U R2 z&#039; L&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;
&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;
* 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;
* y2 R&#039; F&#039; r U R U&#039; r&#039; F&lt;br /&gt;
: Same as y2 l&#039; U&#039; L U R U&#039; r&#039; F&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
=== OLL 25 ===&lt;br /&gt;
[[Image:o25.gif]]&lt;br /&gt;
&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;
* y2 R U2&#039; R D R&#039; U2 R D&#039; R2&#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;
* l&#039; U&#039; L&#039; U R U&#039; L F x&lt;br /&gt;
* x&#039; D R U R&#039; D&#039; R U&#039; l&#039;&lt;br /&gt;
* U r U R U&#039; L&#039; U R&#039; U&#039; x&#039;&lt;br /&gt;
* x&#039; U L&#039; U&#039; R U L U&#039; l&#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;
* 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&#039; U R U&#039; L U R&#039;&lt;br /&gt;
* L&#039; U&#039; L U&#039; L&#039; U2 L&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;
* R U&#039; L&#039; U R&#039; U&#039; L&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;
&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;
&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;
&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;
&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;
&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;
&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;
* 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 d r2 U M&#039; U2 M U r2 S&#039;&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;
&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;
&lt;br /&gt;
|}&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;
&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;
&lt;br /&gt;
|}&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;
* 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;
&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;
||&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;
&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;&lt;br /&gt;
* R U R&#039; d&#039; l&#039; U&#039; L U r&#039; R&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;
=== 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;
* 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;
&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;
&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;
&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;
** 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;
&lt;br /&gt;
=== OLL 56 ===&lt;br /&gt;
[[Image:o56.gif]]&lt;br /&gt;
&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;
* r&#039; U&#039; r U&#039; R&#039; U R U&#039; R&#039; U R r&#039; U r&lt;br /&gt;
* F R U R&#039; U&#039; R F&#039; r U R&#039; U&#039; r&#039;&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;
&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;
&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;
&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;
* (r U R&#039; U) (R U2 r&#039;)&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;
&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;
&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;
&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 U R&#039; U&#039; R&#039; F R2 U R&#039; U&#039; F&#039;&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;
&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;
&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;
* 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;
* 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;
&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;
&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;
&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 L&#039; U&#039; L&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;
&lt;br /&gt;
=== OLL 30 ===&lt;br /&gt;
[[Image:o30.gif]]&lt;br /&gt;
&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;
&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; U&#039; F&#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;
&lt;br /&gt;
=== OLL 42 ===&lt;br /&gt;
[[Image:o42.gif]]&lt;br /&gt;
&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; R&#039; F R F&#039; R U R&#039; U&#039; R U R&#039;&lt;br /&gt;
&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;
* r U R&#039; U&#039; r&#039; R U R U&#039; R&#039;&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;
* y2 M&#039; U M U2 M&#039; U M&lt;br /&gt;
* M U M&#039; U2 M U M&#039;&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; r R&#039; U R U&#039; r&#039;&lt;br /&gt;
* (x&#039;) M&#039; U&#039; R U M U&#039; R&#039; U (x)&lt;br /&gt;
* M U M U M U2 M&#039; U M&#039; U M&#039; U2&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 methods]]&lt;br /&gt;
[[Category:Cubing abbreviations and acronyms]]&lt;br /&gt;
[[Category:Algorithms]]&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_B&amp;diff=3108</id>
		<title>CxLL L B</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_B&amp;diff=3108"/>
		<updated>2009-01-06T06:13:37Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L B ==&lt;br /&gt;
The four cases, [[CxLL T R|T R]], [[CxLL T L|T L]], [[CxLL L R|L R]] and [[CxLL L B|L B]] are mirrors and inverses of each other so the same algorithm (8 move commutator) can be used to solve them all.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L B.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| The two stickers in the U-face has got opposite colours, find the other two. The case [[CxLL L R|L R]] looks the same but mirrored.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039; x&#039;) U L&#039; U&#039; R U L U&#039; l&#039;&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y F R&#039; F&#039; R2 r&#039; U R U&#039; R&#039; U&#039; M&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y R&#039;U2FU&#039;F&#039;U2F&#039;R&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_F&amp;diff=3107</id>
		<title>CxLL L F</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_F&amp;diff=3107"/>
		<updated>2009-01-06T06:12:06Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L F ==&lt;br /&gt;
The four cases, [[CxLL U R|U R]], [[CxLL U L|U L]], [[CxLL L L|L L]] and [[CxLL L F|L F]] are mirrors and inverses of each other so the same algorithm (9 move commutator) can be used to solve them all.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L F.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| First look in the U-face, there are two stickers of the same colour, next find the two stickers of the opposite colour. Case [[CxLL L L|L L]] looks the same but mirrored.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y2) L&#039; U2 L&#039; D&#039; L U2 L&#039; D L2&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* L&#039; U2 R U R&#039; U2 L U&#039; L F2 L&#039;&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 R&#039; U&#039; R U&#039; R B&#039; R&#039; B U2 R B&#039; R&#039; B&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y2 R&#039;U&#039;FU&#039;RFUR2F&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_L&amp;diff=3106</id>
		<title>CxLL L L</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_L&amp;diff=3106"/>
		<updated>2009-01-06T06:10:18Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L L ==&lt;br /&gt;
The four cases, [[CxLL U R|U R]], [[CxLL U L|U L]], [[CxLL L L|L L]] and [[CxLL L F|L F]] are mirrors and inverses of each other so the same algorithm (9 move commutator) can be used to solve them all.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L L.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| First look in the U-face, there are two stickers of the same colour, next find the two stickers of the opposite colour. Case [[CxLL L F|L F]] looks the same but mirrored.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R U2 R D R&#039; U2 R D&#039; R2&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* R U2 L&#039; U&#039; L U2 R&#039; U R&#039; F2 R&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y&#039; R U R&#039; U R&#039; F R F&#039; U2 R&#039; F R F&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y R&#039;UR&#039;F&#039;U&#039;FUF2R2&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_R&amp;diff=3105</id>
		<title>CxLL L R</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_R&amp;diff=3105"/>
		<updated>2009-01-06T06:09:20Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L R ==&lt;br /&gt;
The four cases, [[CxLL T R|T R]], [[CxLL T L|T L]], [[CxLL L R|L R]] and [[CxLL L B|L B]] are mirrors and inverses of each other so the same algorithm (8 move commutator) can be used to solve them all.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L R.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| The two stickers in the U-face has got opposite colours, find the other two. The case [[CxLL L B|L B]] looks the same but mirrored.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (x&#039;) U&#039; R U L&#039; U&#039; R&#039; U r&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* R U R U&#039; L&#039; U R&#039; U&#039;&lt;br /&gt;
* U2 F&#039; L F L&#039; U&#039; L&#039; U L&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 F&#039; L F L2 l U&#039; L&#039; U L U M&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* RU2F&#039;RUF2UR&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_D&amp;diff=3104</id>
		<title>CxLL L D</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_D&amp;diff=3104"/>
		<updated>2009-01-06T06:05:15Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L D ==&lt;br /&gt;
General description of the case...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L D.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| In this case you only need to look at the stickers around one of the two twisted corners, if there are all four side colours involved it will be this case. Two of them are at the twisted corner and the other two are at the sides of the two oriented corners.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R&#039; U2 L U&#039; L&#039; U2 (R L) U&#039; L&#039;&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 M U M&#039; L U2 L2 B L B&#039; R B2 R&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; y&#039; R&#039; F&#039; L&#039; U&#039; L U&#039; F U R&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y RU&#039;R&#039;U2F2R2FU2F&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_D&amp;diff=3103</id>
		<title>CxLL L D</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_D&amp;diff=3103"/>
		<updated>2009-01-06T06:03:13Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L D ==&lt;br /&gt;
General description of the case...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L D.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| In this case you only need to look at the stickers around one of the two twisted corners, if there are all four side colours involved it will be this case. Two of them are at the twisted corner and the other two are at the sides of the two oriented corners.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R&#039; U2 L U&#039; L&#039; U2 (R L) U&#039; L&#039;&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 M U M&#039; L U2 L2 B L B&#039; R B2 R&#039;&lt;br /&gt;
* R U2 R&#039; U&#039; y&#039; R&#039; F&#039; L&#039; U&#039; L U&#039; F U R&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y RFRU&#039;F2U2F&#039;U&#039;R&#039;F&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_L_U&amp;diff=3102</id>
		<title>CxLL L U</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_L_U&amp;diff=3102"/>
		<updated>2009-01-06T06:00:47Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== L U ==&lt;br /&gt;
The triple [[Sune]]. But in COLL the triple also does [[PLL#H PLL|H PLL]]. If you got all edges and corners permuted you can solve only orientation for this case using Sune and then Antisune from a diffrent angle or use the &amp;quot;half Sune, left Anti...&amp;quot; listed below.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL L U.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| In this case you only need to look at the stickers around one of the two twisted corners, if there are only two adjacent colours involved it will be this case.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R U R&#039; U R U&#039; R&#039; U R U&#039; R&#039; U R U2 R&#039; ... triple Sune&lt;br /&gt;
* R U&#039; (R&#039; L&#039;) U2 L U L&#039; U (L R) U2 R&#039; ... half Sune, left Antisune, rest of first&lt;br /&gt;
* R U&#039; Ra&#039; U2 L U L&#039; U Ra U2 R&#039; ... same but using Ra notation&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* R2&#039; U R&#039; B&#039; R U&#039; R2&#039; U R B2 U B&#039; U&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* (y) 2x(R U&#039;) R U2 2x(R&#039; U) R&#039; U2&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y2 RFRU&#039;F2U2F&#039;U&#039;R&#039;F&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_B&amp;diff=3101</id>
		<title>CxLL aS B</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_B&amp;diff=3101"/>
		<updated>2009-01-06T05:58:08Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== -S B ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL S B.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the L-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL aS F|-S F]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL S L|S L]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R U2 (R&#039; L&#039;) U2 R U&#039; R&#039; U2 (L R) U2 R&#039;&lt;br /&gt;
* (y) R U2 Ra&#039; U2 R U&#039; R&#039; U2 Ra U2 R&#039; ... same but Ra notation&lt;br /&gt;
* (y x&#039;) U&#039; R F2 R&#039; U R U&#039; F2 U l&#039; ... optimal, preserves edge permutation&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y r U2 (r&#039; L&#039;) U2 r U&#039; r&#039; U2 (L r) U2 r&#039;&lt;br /&gt;
* y&#039; R B2 R2 U2 R B&#039; R&#039; U2 R2 B2 R&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; RUR&#039;UF2R&#039;UR&#039;F&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_F&amp;diff=3100</id>
		<title>CxLL aS F</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_F&amp;diff=3100"/>
		<updated>2009-01-06T05:55:43Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== -S F ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL S F.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in a bar (in the image at the L-side) and the two bars together shows a chess board pattern. The case [[CxLL aS B|-S B]] looks much the same but there the bars shows perpendicular bars of uniform colours, not the chess board. Case [[CxLL S R|S R]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y2) R U2 R&#039; U2 L&#039; U R U&#039; M&#039; (x&#039;)&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* (y2) R U2 R&#039; U2 R&#039; F R F&#039; ... Antisune + R&#039;FRF&#039;&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* R B U&#039; L U&#039; L&#039; U L U2 L&#039; B&#039; R&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* R2F&#039;R2UFU&#039;R&#039;F&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_L&amp;diff=3099</id>
		<title>CxLL aS L</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_L&amp;diff=3099"/>
		<updated>2009-01-06T05:52:11Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== -S L ==&lt;br /&gt;
The classic [[Niklas]].&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL S L.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the R and L sides) The colour at the side is the opposite of the nearest of the two stickers in U. The case [[CxLL aS R|-S R]] looks much the same but there the nearest sticker has got the same colour. Case [[CxLL S B|S B]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039;) R&#039; U L U&#039; R U L&#039; ... [[Niklas]]&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 R&#039; U&#039; R y&#039; R B R&#039; L U2 L&#039; U R B R&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* F&#039;UF&#039;RU2LU2L&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_R&amp;diff=3098</id>
		<title>CxLL aS R</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_R&amp;diff=3098"/>
		<updated>2009-01-06T05:44:50Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== -S R ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL S R.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the R and L sides) The colour at the side is the same as the nearest of the two in U. The case [[CxLL aS L|-S L]] looks much the same but there the nearest sticker has got the opposite colour. Case [[CxLL S F|S F]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y2 x) M U&#039; L U R&#039; U2 L&#039; U2 L&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* F&#039; L F L&#039; U2 L&#039; U2 L ... F&#039;LFL&#039; + mirror Sune&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y R&#039; U2 x R&#039; U R U&#039; y R&#039; U&#039; R&#039; U R&#039; F&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* R&#039;F&#039;U&#039;RU&#039;F2RF2&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_D&amp;diff=3097</id>
		<title>CxLL aS D</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_D&amp;diff=3097"/>
		<updated>2009-01-06T05:41:35Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== -S D ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL S D.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the opposite colour as that one (in the image; Ulf = red and uLb = orange). The inverse case [[CxLL aS U|-S U]] looks wery much the same but there the sticker on the oriented corner has got the same colour.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* L&#039; U&#039; L U&#039; R U&#039; L&#039; U R&#039; U2 L ... mirror Sune with two inserts; RU&#039; and UR&#039;&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 r&#039; U&#039; R2 U&#039; l U2 r&#039; U r U2 l D2 L x&lt;br /&gt;
* y&#039; R B U L U L&#039; U L U L&#039; U&#039; B&#039; U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* R&#039;U&#039;R2UR2U&#039;RF2R2&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_U&amp;diff=3096</id>
		<title>CxLL aS U</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_aS_U&amp;diff=3096"/>
		<updated>2009-01-06T05:39:47Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== -S U ==&lt;br /&gt;
&#039;&#039;&#039;-S U n e&#039;&#039;&#039;, this is the inverse of the classic [[Sune]], the Antisune. There is basicly only one alg used for this case no matter if the method is COLL, CLL or whatever (exept EG 1/0).&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL S U.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the same colour as that one (in the image; Ulf and uLb = orange). The inverse case [[CxLL aS D|-S D]] looks wery much the same but there the sticker on the oriented corner has got the opposite colour.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R U2 R&#039; U&#039; R U&#039; R&#039; ... Antisune&lt;br /&gt;
* (y2) L&#039; U&#039; L U&#039; L&#039; U2 L ... mirror Sune&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y2 r&#039; R U&#039; r U2 r&#039; U&#039; R U&#039; R2&#039; r&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* R&#039;F2UR&#039;U&#039;R2U&#039;F&#039;U&#039;F&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_B&amp;diff=3095</id>
		<title>CxLL S B</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_B&amp;diff=3095"/>
		<updated>2009-01-06T05:34:41Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S B ==&lt;br /&gt;
The classic [[Niklas]].&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS B.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the B and F sides) The colour at the side is the opposite of the nearest of the two stickers in U. The case [[CxLL S F|S F]] looks much the same but there the nearest sticker has got the same colour. Case [[CxLL aS L|-S L]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039;) R U&#039; L&#039; U R&#039; U&#039; L ... [[Niklas]]&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* M U&#039; M&#039; U2 R B&#039; R&#039; F U&#039; B&#039; U S&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* x UR&#039;UR&#039;U2R&#039;F2R&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_F&amp;diff=3094</id>
		<title>CxLL S F</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_F&amp;diff=3094"/>
		<updated>2009-01-06T05:32:54Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S F ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS F.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the B and F sides) The colour at the side is the same as the nearest of the two stickers in U. The case [[CxLL S B|S B]] looks much the same but there the nearest sticker has got the opposite colour. Case [[CxLL aS R|-S R]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039; x) M U R&#039; U&#039; L U2 R U2 R&#039;&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* (y&#039;) F R&#039; F&#039; R U2 R U2 R&#039; ... FR&#039;F&#039;R + Sune&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* L U2 x L U&#039; L&#039; U y&#039; L U L U&#039; L F&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; RFRU&#039;FU2R&#039;F2&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_L&amp;diff=3093</id>
		<title>CxLL S L</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_L&amp;diff=3093"/>
		<updated>2009-01-06T05:28:13Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S L ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS L.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the B-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL S R|S R]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL aS B|-S B]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* L&#039; U2 (L R) U2 L&#039; U L U2 (R&#039; L&#039;) U2 L&lt;br /&gt;
* L&#039; U2 Ra U2 L&#039; U L U2 Ra&#039; U2 L ... same but Ra notation&lt;br /&gt;
* (x&#039;) U L&#039; F2 L U&#039; L&#039; U F2 U&#039; r ... optimal, preserves edge permutation&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* r U2 (L&#039; r&#039;) U2 r U r&#039; U2 (L r) U2 r&#039;&lt;br /&gt;
* y2 L&#039; B2 L2 U2 L&#039; B L U2 L2 B2 L&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; R&#039;UR&#039;FR2U&#039;FR&#039;F&#039;&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_L&amp;diff=3092</id>
		<title>CxLL S L</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_L&amp;diff=3092"/>
		<updated>2009-01-06T05:25:30Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S L ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS L.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the B-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL S R|S R]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL aS B|-S B]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* L&#039; U2 (L R) U2 L&#039; U L U2 (R&#039; L&#039;) U2 L&lt;br /&gt;
* L&#039; U2 Ra U2 L&#039; U L U2 Ra&#039; U2 L ... same but Ra notation&lt;br /&gt;
* (x&#039;) U L&#039; F2 L U&#039; L&#039; U F2 U&#039; r ... optimal, preserves edge permutation&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* r U2 (L&#039; r&#039;) U2 r U r&#039; U2 (L r) U2 r&#039;&lt;br /&gt;
* y2 L&#039; B2 L2 U2 L&#039; B L U2 L2 B2 L&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; R2F&#039;U2RU&#039;RUF&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_U&amp;diff=3091</id>
		<title>CxLL S U</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_U&amp;diff=3091"/>
		<updated>2009-01-06T05:22:40Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S U ==&lt;br /&gt;
&#039;&#039;&#039;S U n e&#039;&#039;&#039;, this is the classic [[Sune]], the case probably all [[cuber]]s knows. There is basicly only one alg used for this case no matter if the method is COLL, CLL or whatever (exept EG 1/0).&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS U.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the same colour as that one (in the image; Urb and uBl = blue). The inverse case [[CxLL S D|S D]] looks wery much the same but there the sticker on the oriented corner has got the opposite colour.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039;) R U R&#039; U R U2 R&#039; ... Sune&lt;br /&gt;
* L&#039; U2 L U L&#039; U L ... mirror Antisune&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y&#039; r&#039; R2 U R&#039; U r U2 r&#039; U M&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y2 FU2R&#039;FUR2URFR&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_D&amp;diff=3090</id>
		<title>CxLL S D</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_D&amp;diff=3090"/>
		<updated>2009-01-06T05:21:32Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S D ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS D.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the opposite colour as that one (in the image; Urb = green and uBl = blue). The inverse case [[CxLL S U|S U]] looks wery much the same but there the sticker on the oriented corner has got the same colour.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R U R&#039; U L&#039; U R U&#039; L U2 R&#039; ... Sune with two inserts; L&#039;U and U&#039;L&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y&#039; l U2 L2 U r&#039; U2 l U&#039; l&#039; U2 r&#039; D2 R&#039; x&#039;&lt;br /&gt;
* y2 L&#039; B&#039; U&#039; R&#039; U&#039; R U&#039; R&#039; U&#039; R U B U2 L&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; FR&#039;FR&#039;F2R&#039;U2R&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_R&amp;diff=3089</id>
		<title>CxLL S R</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_R&amp;diff=3089"/>
		<updated>2009-01-06T05:21:02Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S R ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS R.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in a bar (in the image at the B-side) and the two bars together shows a chess board pattern. The case [[CxLL S L|S L]] looks much the same but there the bars shows perpendicular bars of uniform colours, not the chess board. Case [[CxLL aS F|-S F]] is the mirror of this one.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039;) L&#039; U2 L U2 R U&#039; L&#039; U M&#039; (x&#039;)&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* (y&#039;) L&#039; U2 L U2 L F&#039; L&#039; F ... Antisune + LF&#039;L&#039;F&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y L&#039; B&#039; U R&#039; U R U&#039; R&#039; U2 R B L&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; R2F&#039;U2RU&#039;RUF&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_D&amp;diff=3088</id>
		<title>CxLL S D</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_D&amp;diff=3088"/>
		<updated>2009-01-06T05:18:11Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S D ==&lt;br /&gt;
...&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS D.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the opposite colour as that one (in the image; Urb = green and uBl = blue). The inverse case [[CxLL S U|S U]] looks wery much the same but there the sticker on the oriented corner has got the same colour.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y) R U R&#039; U L&#039; U R U&#039; L U2 R&#039; ... Sune with two inserts; L&#039;U and U&#039;L&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y&#039; l U2 L2 U r&#039; U2 l U&#039; l&#039; U2 r&#039; D2 R&#039; x&#039;&lt;br /&gt;
* y2 L&#039; B&#039; U&#039; R&#039; U&#039; R U&#039; R&#039; U&#039; R U B U2 L&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* FR&#039;FR&#039;F2R&#039;U2R&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_S_U&amp;diff=3087</id>
		<title>CxLL S U</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_S_U&amp;diff=3087"/>
		<updated>2009-01-06T05:14:49Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* EG */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== S U ==&lt;br /&gt;
&#039;&#039;&#039;S U n e&#039;&#039;&#039;, this is the classic [[Sune]], the case probably all [[cuber]]s knows. There is basicly only one alg used for this case no matter if the method is COLL, CLL or whatever (exept EG 1/0).&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;hr&amp;gt;&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL aS U.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the same colour as that one (in the image; Urb and uBl = blue). The inverse case [[CxLL S D|S D]] looks wery much the same but there the sticker on the oriented corner has got the opposite colour.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* (y&#039;) R U R&#039; U R U2 R&#039; ... Sune&lt;br /&gt;
* L&#039; U2 L U L&#039; U L ... mirror Antisune&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===CLLEF===&lt;br /&gt;
* y&#039; r&#039; R2 U R&#039; U r U2 r&#039; U M&#039;&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2 (Waterman)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===EG===&lt;br /&gt;
&#039;&#039;&#039;EG 2&#039;&#039;&#039; --&amp;gt; 2x2x2&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 1&#039;&#039;&#039;&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;EG 0&#039;&#039;&#039;&lt;br /&gt;
* y&#039; FU2R&#039;FUR2URFR&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=CxLL_Pi_O&amp;diff=2526</id>
		<title>CxLL Pi O</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=CxLL_Pi_O&amp;diff=2526"/>
		<updated>2008-11-13T02:57:08Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* Pi */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Pi ==&lt;br /&gt;
&lt;br /&gt;
{| &lt;br /&gt;
|| [[image:CxLL Pi.jpg|128px|]]&lt;br /&gt;
| valign=&amp;quot;top&amp;quot;| The &#039;&#039;&#039;Pi&#039;&#039;&#039; case, all corners are unoriented, two stickers pointing in the same direction and the other two pointing away from each other, it resembles the greek letter pi. Or you could say it looks like a pig, a snout and two hanging ears, the Pi(g) case =)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===COLL===&lt;br /&gt;
* [[OLL#OLL 22|OLL 22]]&lt;br /&gt;
* (y) R U2 R2 U&#039; R2 U&#039; R2 U2 R&lt;br /&gt;
* (y&#039;) F U R U&#039; R&#039; F2 L&#039; U&#039; L U F&lt;br /&gt;
&lt;br /&gt;
===CLL===&lt;br /&gt;
* [[OLL#OLL 2|OLL 2]], [[OLL#OLL 47|OLL 47-50]], [[OLL#OLL 51|OLL 51-52]]&lt;br /&gt;
* (y&#039;) F U R  U&#039; R&#039; U R U&#039; R&#039; F&#039;&lt;br /&gt;
* (y) F R U R&#039; U&#039; R U R&#039; U&#039; F&#039;&lt;br /&gt;
&lt;br /&gt;
===CMLL===&lt;br /&gt;
* R U R&#039; l&#039; U&#039; L r F U2 F&#039; U R&#039;&lt;br /&gt;
&lt;br /&gt;
===CMSLL (pairs first)===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===PORT===&lt;br /&gt;
* R U (R&#039; l&#039;) U&#039; (L r) U R&#039; ... swaps F-side pairs&lt;br /&gt;
&lt;br /&gt;
===CF / 2x2x2===&lt;br /&gt;
* ...&lt;br /&gt;
&lt;br /&gt;
===Ortega===&lt;br /&gt;
* R U (R&#039; L) U&#039; (L R) U R&#039; ... swaps FD corners&lt;br /&gt;
* R U Ra&#039; U&#039; Ra U R&#039; ... same but using Ra notation&lt;br /&gt;
&lt;br /&gt;
==Navigator==&lt;br /&gt;
{{CxLLnav}}&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=2407</id>
		<title>PLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=2407"/>
		<updated>2008-11-09T08:47:16Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* N 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;
&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;
* L R U2 x U&#039; D&#039; x&#039; y U2 L R&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;
&lt;br /&gt;
===U Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:u1.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 M2 U M U2 M&#039; U M2&lt;br /&gt;
* M2 U M&#039; U2 M U M2&lt;br /&gt;
* R2 U&#039; R&#039; U&#039; R U R U R U&#039; R&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;
&lt;br /&gt;
===U Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:u.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 M2 U&#039; M U2 M&#039; U&#039; M2&lt;br /&gt;
* M2 U&#039; M&#039; U2 M 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;
* B2 U M&#039; U2 M U B2&lt;br /&gt;
* y2 R2 U R U R&#039; U&#039; R&#039; U&#039; R&#039; U R&#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;
&lt;br /&gt;
===Z Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:z.gif]]&lt;br /&gt;
* 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 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;
* 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;
* M&#039; U M2 U M2 U M&#039; U2 M2 U&#039;&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;
&lt;br /&gt;
==Permutations of Corners Only==&lt;br /&gt;
&lt;br /&gt;
===A Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:a1.gif]]&lt;br /&gt;
&lt;br /&gt;
* x R&#039; U R&#039; D2 R U&#039; R&#039; D2 R2&lt;br /&gt;
* (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;
* (U R&#039; D r2 U&#039;) (R U r2&#039; U&#039;) (D&#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;
* y&#039; x R2 D2 R U R&#039; D2 R U&#039; R&lt;br /&gt;
* (R B&#039; R) F2 (R&#039; B R) (F2 R2)&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;
* (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;
* 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 Rw2 U R&#039; U&#039; Rw&#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&#039; L&#039; U R&#039; D2 R U&#039; L&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;
* 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;
* 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;
&lt;br /&gt;
===G Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:g3.gif]]&lt;br /&gt;
&lt;br /&gt;
* 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;
* 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;
* y L&#039; U&#039; L y&#039; R2&#039; 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;
* (y&#039;) R&#039; U L&#039; U2 R U&#039; (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;
&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;
* R U R&#039; F2 D&#039; L U&#039; L&#039; U L&#039; D F2&lt;br /&gt;
* L&#039; R&#039; U2 L R (y) L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
&lt;br /&gt;
===G Permutation : d===&lt;br /&gt;
&lt;br /&gt;
[[Image:g.gif]]&lt;br /&gt;
&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&#039; (R&#039; F&#039; R F&#039;) (U&#039; L&#039; U) (F R&#039; F&#039; L F2 R)&lt;br /&gt;
* F2 D&#039; L U&#039; L U L&#039; D F2 R U&#039; R&#039;&lt;br /&gt;
* (l&#039; U&#039; U&#039; L&#039; U l F&#039;) (U&#039; L U F R&#039; F R)&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;
&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;
* 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;
* 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;
* 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;
* 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;
* 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;
* 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;
* z U&#039; R D&#039; R2&#039; U R&#039; (U&#039; D) R D&#039; R2 U R&#039; D&#039; R&#039;&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;
&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;
&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;
* 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;
&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&#039; 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;
&lt;br /&gt;
===Y Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:Y.gif]]&lt;br /&gt;
&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;
* 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;
* 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;
* R&#039; U&#039; R F2 R&#039; U R U y&#039; R2 U&#039; R2&#039; U&#039; R2&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;
&lt;br /&gt;
&amp;lt;br&amp;gt;{{PLL}}&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 methods]]&lt;br /&gt;
[[Category:Cubing abbreviations and acronyms]]&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=2406</id>
		<title>PLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=PLL&amp;diff=2406"/>
		<updated>2008-11-09T08:32:02Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* E Permutation */&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;
&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;
* L R U2 x U&#039; D&#039; x&#039; y U2 L R&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;
&lt;br /&gt;
===U Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:u1.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 M2 U M U2 M&#039; U M2&lt;br /&gt;
* M2 U M&#039; U2 M U M2&lt;br /&gt;
* R2 U&#039; R&#039; U&#039; R U R U R U&#039; R&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;
&lt;br /&gt;
===U Permutation : b===&lt;br /&gt;
&lt;br /&gt;
[[Image:u.gif]]&lt;br /&gt;
&lt;br /&gt;
* y2 M2 U&#039; M U2 M&#039; U&#039; M2&lt;br /&gt;
* M2 U&#039; M&#039; U2 M 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;
* B2 U M&#039; U2 M U B2&lt;br /&gt;
* y2 R2 U R U R&#039; U&#039; R&#039; U&#039; R&#039; U R&#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;
&lt;br /&gt;
===Z Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:z.gif]]&lt;br /&gt;
* 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 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;
* 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;
* M&#039; U M2 U M2 U M&#039; U2 M2 U&#039;&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;
&lt;br /&gt;
==Permutations of Corners Only==&lt;br /&gt;
&lt;br /&gt;
===A Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:a1.gif]]&lt;br /&gt;
&lt;br /&gt;
* x R&#039; U R&#039; D2 R U&#039; R&#039; D2 R2&lt;br /&gt;
* (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;
* (U R&#039; D r2 U&#039;) (R U r2&#039; U&#039;) (D&#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;
* y&#039; x R2 D2 R U R&#039; D2 R U&#039; R&lt;br /&gt;
* (R B&#039; R) F2 (R&#039; B R) (F2 R2)&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;
* (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;
* 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 Rw2 U R&#039; U&#039; Rw&#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&#039; L&#039; U R&#039; D2 R U&#039; L&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;
* 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;
* 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;
&lt;br /&gt;
===G Permutation : a===&lt;br /&gt;
&lt;br /&gt;
[[Image:g3.gif]]&lt;br /&gt;
&lt;br /&gt;
* 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;
* 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;
* y L&#039; U&#039; L y&#039; R2&#039; 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;
* (y&#039;) R&#039; U L&#039; U2 R U&#039; (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;
&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;
* R U R&#039; F2 D&#039; L U&#039; L&#039; U L&#039; D F2&lt;br /&gt;
* L&#039; R&#039; U2 L R (y) L U&#039; R U2 L&#039; U R&#039;&lt;br /&gt;
&lt;br /&gt;
===G Permutation : d===&lt;br /&gt;
&lt;br /&gt;
[[Image:g.gif]]&lt;br /&gt;
&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&#039; (R&#039; F&#039; R F&#039;) (U&#039; L&#039; U) (F R&#039; F&#039; L F2 R)&lt;br /&gt;
* F2 D&#039; L U&#039; L U L&#039; D F2 R U&#039; R&#039;&lt;br /&gt;
* (l&#039; U&#039; U&#039; L&#039; U l F&#039;) (U&#039; L U F R&#039; F R)&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;
&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;
* 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;
* 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;
* 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;
* 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;
* 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;
* 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;
* z U&#039; R D&#039; R2&#039; U R&#039; (U&#039; D) R D&#039; R2 U R&#039; D&#039; R&#039;&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;
&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;
&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;
* 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;
&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&#039; 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;
&lt;br /&gt;
===Y Permutation===&lt;br /&gt;
&lt;br /&gt;
[[Image:Y.gif]]&lt;br /&gt;
&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;
* 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;
* 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;
* R&#039; U&#039; R F2 R&#039; U R U y&#039; R2 U&#039; R2&#039; U&#039; R2&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;
&lt;br /&gt;
&amp;lt;br&amp;gt;{{PLL}}&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 methods]]&lt;br /&gt;
[[Category:Cubing abbreviations and acronyms]]&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2074</id>
		<title>Forum cubers by location</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2074"/>
		<updated>2008-11-01T21:30:04Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* MO - Missouri */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= Speedsolving.com Forum Cubers by Location =&lt;br /&gt;
&lt;br /&gt;
==North America==&lt;br /&gt;
&lt;br /&gt;
=== United States ===&lt;br /&gt;
==== AL - Alabama ====&lt;br /&gt;
====AK - Alaska====&lt;br /&gt;
====AZ - Arizona====&lt;br /&gt;
====AR - Arkansas====&lt;br /&gt;
====CA - California====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]&lt;br /&gt;
&lt;br /&gt;
====CO - Colorado====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1 PJK]&lt;br /&gt;
====CT - Connecticut====&lt;br /&gt;
====DE - Delaware====&lt;br /&gt;
====FL - Florida====&lt;br /&gt;
====GA - Georgia====&lt;br /&gt;
====HI - Hawaii====&lt;br /&gt;
====ID - Idaho====&lt;br /&gt;
====IL - Illinois====&lt;br /&gt;
====IN - Indiana====&lt;br /&gt;
====IA - Iowa====&lt;br /&gt;
====KS - Kansas====&lt;br /&gt;
====KY - Kentucky====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith]&lt;br /&gt;
====LA - Louisiana====&lt;br /&gt;
====ME - Maine====&lt;br /&gt;
====MD - Maryland====&lt;br /&gt;
====MA - Massachusetts====&lt;br /&gt;
====MI - Michigan====&lt;br /&gt;
====MN - Minnesota====&lt;br /&gt;
====MS - Mississippi====&lt;br /&gt;
====MO - Missouri====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312 (during summer)]&lt;br /&gt;
&lt;br /&gt;
====MT - Montana====&lt;br /&gt;
====NE - Nebraska====&lt;br /&gt;
====NV - Nevada====&lt;br /&gt;
====NH - New Hampshire====&lt;br /&gt;
====NJ - New Jersey====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]&lt;br /&gt;
====NM - New Mexico====&lt;br /&gt;
====NY - New York====&lt;br /&gt;
====NC - North Carolina====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=63 cmhardw]&lt;br /&gt;
====ND - North Dakota====&lt;br /&gt;
====OH - Ohio====&lt;br /&gt;
====OK - Oklahoma====&lt;br /&gt;
====OR - Oregon====&lt;br /&gt;
====PA - Pennsylvania====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312 (during school year)]&lt;br /&gt;
&lt;br /&gt;
====RI - Rhode Island====&lt;br /&gt;
====SC - South Carolina====&lt;br /&gt;
====SD - South Dakota====&lt;br /&gt;
====TN - Tennessee====&lt;br /&gt;
====TX - Texas====&lt;br /&gt;
====UT - Utah====&lt;br /&gt;
====VT - Vermont====&lt;br /&gt;
====VA - Virginia====&lt;br /&gt;
====WA - Washington====&lt;br /&gt;
====WV - West Virginia====&lt;br /&gt;
====WI - Wisconsin====&lt;br /&gt;
====WY - Wyoming====&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2073</id>
		<title>Forum cubers by location</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2073"/>
		<updated>2008-11-01T21:29:44Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* PA - Pennsylvania */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= Speedsolving.com Forum Cubers by Location =&lt;br /&gt;
&lt;br /&gt;
==North America==&lt;br /&gt;
&lt;br /&gt;
=== United States ===&lt;br /&gt;
==== AL - Alabama ====&lt;br /&gt;
====AK - Alaska====&lt;br /&gt;
====AZ - Arizona====&lt;br /&gt;
====AR - Arkansas====&lt;br /&gt;
====CA - California====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]&lt;br /&gt;
&lt;br /&gt;
====CO - Colorado====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1 PJK]&lt;br /&gt;
====CT - Connecticut====&lt;br /&gt;
====DE - Delaware====&lt;br /&gt;
====FL - Florida====&lt;br /&gt;
====GA - Georgia====&lt;br /&gt;
====HI - Hawaii====&lt;br /&gt;
====ID - Idaho====&lt;br /&gt;
====IL - Illinois====&lt;br /&gt;
====IN - Indiana====&lt;br /&gt;
====IA - Iowa====&lt;br /&gt;
====KS - Kansas====&lt;br /&gt;
====KY - Kentucky====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith]&lt;br /&gt;
====LA - Louisiana====&lt;br /&gt;
====ME - Maine====&lt;br /&gt;
====MD - Maryland====&lt;br /&gt;
====MA - Massachusetts====&lt;br /&gt;
====MI - Michigan====&lt;br /&gt;
====MN - Minnesota====&lt;br /&gt;
====MS - Mississippi====&lt;br /&gt;
====MO - Missouri====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312]&lt;br /&gt;
&lt;br /&gt;
====MT - Montana====&lt;br /&gt;
====NE - Nebraska====&lt;br /&gt;
====NV - Nevada====&lt;br /&gt;
====NH - New Hampshire====&lt;br /&gt;
====NJ - New Jersey====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]&lt;br /&gt;
====NM - New Mexico====&lt;br /&gt;
====NY - New York====&lt;br /&gt;
====NC - North Carolina====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=63 cmhardw]&lt;br /&gt;
====ND - North Dakota====&lt;br /&gt;
====OH - Ohio====&lt;br /&gt;
====OK - Oklahoma====&lt;br /&gt;
====OR - Oregon====&lt;br /&gt;
====PA - Pennsylvania====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312 (during school year)]&lt;br /&gt;
&lt;br /&gt;
====RI - Rhode Island====&lt;br /&gt;
====SC - South Carolina====&lt;br /&gt;
====SD - South Dakota====&lt;br /&gt;
====TN - Tennessee====&lt;br /&gt;
====TX - Texas====&lt;br /&gt;
====UT - Utah====&lt;br /&gt;
====VT - Vermont====&lt;br /&gt;
====VA - Virginia====&lt;br /&gt;
====WA - Washington====&lt;br /&gt;
====WV - West Virginia====&lt;br /&gt;
====WI - Wisconsin====&lt;br /&gt;
====WY - Wyoming====&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2072</id>
		<title>Forum cubers by location</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2072"/>
		<updated>2008-11-01T21:28:31Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* PA - Pennsylvania */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= Speedsolving.com Forum Cubers by Location =&lt;br /&gt;
&lt;br /&gt;
==North America==&lt;br /&gt;
&lt;br /&gt;
=== United States ===&lt;br /&gt;
==== AL - Alabama ====&lt;br /&gt;
====AK - Alaska====&lt;br /&gt;
====AZ - Arizona====&lt;br /&gt;
====AR - Arkansas====&lt;br /&gt;
====CA - California====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]&lt;br /&gt;
&lt;br /&gt;
====CO - Colorado====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1 PJK]&lt;br /&gt;
====CT - Connecticut====&lt;br /&gt;
====DE - Delaware====&lt;br /&gt;
====FL - Florida====&lt;br /&gt;
====GA - Georgia====&lt;br /&gt;
====HI - Hawaii====&lt;br /&gt;
====ID - Idaho====&lt;br /&gt;
====IL - Illinois====&lt;br /&gt;
====IN - Indiana====&lt;br /&gt;
====IA - Iowa====&lt;br /&gt;
====KS - Kansas====&lt;br /&gt;
====KY - Kentucky====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith]&lt;br /&gt;
====LA - Louisiana====&lt;br /&gt;
====ME - Maine====&lt;br /&gt;
====MD - Maryland====&lt;br /&gt;
====MA - Massachusetts====&lt;br /&gt;
====MI - Michigan====&lt;br /&gt;
====MN - Minnesota====&lt;br /&gt;
====MS - Mississippi====&lt;br /&gt;
====MO - Missouri====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312]&lt;br /&gt;
&lt;br /&gt;
====MT - Montana====&lt;br /&gt;
====NE - Nebraska====&lt;br /&gt;
====NV - Nevada====&lt;br /&gt;
====NH - New Hampshire====&lt;br /&gt;
====NJ - New Jersey====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]&lt;br /&gt;
====NM - New Mexico====&lt;br /&gt;
====NY - New York====&lt;br /&gt;
====NC - North Carolina====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=63 cmhardw]&lt;br /&gt;
====ND - North Dakota====&lt;br /&gt;
====OH - Ohio====&lt;br /&gt;
====OK - Oklahoma====&lt;br /&gt;
====OR - Oregon====&lt;br /&gt;
====PA - Pennsylvania====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312]&lt;br /&gt;
&lt;br /&gt;
====RI - Rhode Island====&lt;br /&gt;
====SC - South Carolina====&lt;br /&gt;
====SD - South Dakota====&lt;br /&gt;
====TN - Tennessee====&lt;br /&gt;
====TX - Texas====&lt;br /&gt;
====UT - Utah====&lt;br /&gt;
====VT - Vermont====&lt;br /&gt;
====VA - Virginia====&lt;br /&gt;
====WA - Washington====&lt;br /&gt;
====WV - West Virginia====&lt;br /&gt;
====WI - Wisconsin====&lt;br /&gt;
====WY - Wyoming====&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2071</id>
		<title>Forum cubers by location</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=Forum_cubers_by_location&amp;diff=2071"/>
		<updated>2008-11-01T21:28:19Z</updated>

		<summary type="html">&lt;p&gt;Vault312: /* MO - Missouri */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= Speedsolving.com Forum Cubers by Location =&lt;br /&gt;
&lt;br /&gt;
==North America==&lt;br /&gt;
&lt;br /&gt;
=== United States ===&lt;br /&gt;
==== AL - Alabama ====&lt;br /&gt;
====AK - Alaska====&lt;br /&gt;
====AZ - Arizona====&lt;br /&gt;
====AR - Arkansas====&lt;br /&gt;
====CA - California====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]&lt;br /&gt;
&lt;br /&gt;
====CO - Colorado====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1 PJK]&lt;br /&gt;
====CT - Connecticut====&lt;br /&gt;
====DE - Delaware====&lt;br /&gt;
====FL - Florida====&lt;br /&gt;
====GA - Georgia====&lt;br /&gt;
====HI - Hawaii====&lt;br /&gt;
====ID - Idaho====&lt;br /&gt;
====IL - Illinois====&lt;br /&gt;
====IN - Indiana====&lt;br /&gt;
====IA - Iowa====&lt;br /&gt;
====KS - Kansas====&lt;br /&gt;
====KY - Kentucky====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith]&lt;br /&gt;
====LA - Louisiana====&lt;br /&gt;
====ME - Maine====&lt;br /&gt;
====MD - Maryland====&lt;br /&gt;
====MA - Massachusetts====&lt;br /&gt;
====MI - Michigan====&lt;br /&gt;
====MN - Minnesota====&lt;br /&gt;
====MS - Mississippi====&lt;br /&gt;
====MO - Missouri====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1403 Vault312]&lt;br /&gt;
&lt;br /&gt;
====MT - Montana====&lt;br /&gt;
====NE - Nebraska====&lt;br /&gt;
====NV - Nevada====&lt;br /&gt;
====NH - New Hampshire====&lt;br /&gt;
====NJ - New Jersey====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]&lt;br /&gt;
====NM - New Mexico====&lt;br /&gt;
====NY - New York====&lt;br /&gt;
====NC - North Carolina====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=63 cmhardw]&lt;br /&gt;
====ND - North Dakota====&lt;br /&gt;
====OH - Ohio====&lt;br /&gt;
====OK - Oklahoma====&lt;br /&gt;
====OR - Oregon====&lt;br /&gt;
====PA - Pennsylvania====&lt;br /&gt;
* [http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]&lt;br /&gt;
&lt;br /&gt;
====RI - Rhode Island====&lt;br /&gt;
====SC - South Carolina====&lt;br /&gt;
====SD - South Dakota====&lt;br /&gt;
====TN - Tennessee====&lt;br /&gt;
====TX - Texas====&lt;br /&gt;
====UT - Utah====&lt;br /&gt;
====VT - Vermont====&lt;br /&gt;
====VA - Virginia====&lt;br /&gt;
====WA - Washington====&lt;br /&gt;
====WV - West Virginia====&lt;br /&gt;
====WI - Wisconsin====&lt;br /&gt;
====WY - Wyoming====&lt;/div&gt;</summary>
		<author><name>Vault312</name></author>
	</entry>
</feed>