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First Two Layers

2010-08-18T00:43:45Z

Jashaszun: /* Fridrich F2L */

__NOTOC__
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.

The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.

 
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.

The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.

Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions.

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}
|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|d (R' U' R U')(R' U' R)|F2L}}
{{Alg|y2 U' (L U') d' (L' U' L)|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d R U R' U2 F'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}

|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U')(R' U' R)|F2L}}
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}
|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U)(R U R')|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
|-valign="top"
|
=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U (R U2 R') U (R U' R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|d' (R' U2 R) U' (R' U R)|F2L}}
|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]

{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|(R U' R') U2 (R U R')|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]

{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}
{{Alg|U' d' (R' U' R U')(R' U R)|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)
|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U R U' M' U R' U' M|Full}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|U' R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L U' L') U2 (L U' L)|F2L}}
|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
|-valign="top"
|
=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved
|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
|-valign="top"
|
=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
|-valign="top"
|}

== See Also ==
* [[Keyhole First Two Layers]]
* [[Last Layer]]
* [[F2B]]
* [[F2LL]]
* [[ZBF2L]]
* [[First Layer]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://cubefreak.net/Fridrich/F2L_advanced.html Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

[[Category:Cubing Terminology]]
[[Category:3x3x3 Methods]]

First Two Layers

2010-08-17T19:07:58Z

Jashaszun: /* F2L 26 */

__NOTOC__
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.

The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.

 
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.

The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.

Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}
|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|d (R' U' R U')(R' U' R)|F2L}}
{{Alg|y2 U' (L U') d' (L' U' L)|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d R U R' U2 F'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}

|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U')(R' U' R)|F2L}}
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}
|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U)(R U R')|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
|-valign="top"
|
=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U (R U2 R') U (R U' R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|d' (R' U2 R) U' (R' U R)|F2L}}
|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]

{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|(R U' R') U2 (R U R')|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]

{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}
{{Alg|U' d' (R' U' R U')(R' U R)|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)
|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U R U' M' U R' U' M|Full}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|U' R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L U' L') U2 (L U' L)|F2L}}
|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
|-valign="top"
|
=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved
|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
|-valign="top"
|
=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
|-valign="top"
|}

== See Also ==
* [[Keyhole First Two Layers]]
* [[Last Layer]]
* [[F2B]]
* [[F2LL]]
* [[ZBF2L]]
* [[First Layer]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://cubefreak.net/Fridrich/F2L_advanced.html Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

[[Category:Cubing Terminology]]
[[Category:3x3x3 Methods]]

First Two Layers

2010-08-17T19:03:23Z

Jashaszun: /* F2L 26 */

__NOTOC__
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.

The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.

 
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.

The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.

Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}
|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|d (R' U' R U')(R' U' R)|F2L}}
{{Alg|y2 U' (L U') d' (L' U' L)|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d R U R' U2 F'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}

|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U')(R' U' R)|F2L}}
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}
|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U)(R U R')|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
|-valign="top"
|
=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U (R U2 R') U (R U' R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|d' (R' U2 R) U' (R' U R)|F2L}}
|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]

{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|(R U' R') U2 (R U R')|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]

{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}
{{Alg|U' d' (R' U' R U')(R' U R)|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)
|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|U' R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L U' L') U2 (L U' L)|F2L}}
|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
|-valign="top"
|
=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved
|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
|-valign="top"
|
=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
|-valign="top"
|}

== See Also ==
* [[Keyhole First Two Layers]]
* [[Last Layer]]
* [[F2B]]
* [[F2LL]]
* [[ZBF2L]]
* [[First Layer]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://cubefreak.net/Fridrich/F2L_advanced.html Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

[[Category:Cubing Terminology]]
[[Category:3x3x3 Methods]]

First Two Layers

2010-08-17T19:01:53Z

Jashaszun: /* F2L 26 */

__NOTOC__
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.

The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.

 
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.

The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.

Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}
|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|d (R' U' R U')(R' U' R)|F2L}}
{{Alg|y2 U' (L U') d' (L' U' L)|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d R U R' U2 F'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}

|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U')(R' U' R)|F2L}}
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}
|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U)(R U R')|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
|-valign="top"
|
=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U (R U2 R') U (R U' R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|d' (R' U2 R) U' (R' U R)|F2L}}
|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]

{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|(R U' R') U2 (R U R')|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]

{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}
{{Alg|U' d' (R' U' R U')(R' U R)|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)
|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U R U' M' U R U' M|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|U' R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L U' L') U2 (L U' L)|F2L}}
|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
|-valign="top"
|
=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved
|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
|-valign="top"
|
=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
|-valign="top"
|}

== See Also ==
* [[Keyhole First Two Layers]]
* [[Last Layer]]
* [[F2B]]
* [[F2LL]]
* [[ZBF2L]]
* [[First Layer]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://cubefreak.net/Fridrich/F2L_advanced.html Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

[[Category:Cubing Terminology]]
[[Category:3x3x3 Methods]]

PLL

2010-08-16T18:37:22Z

Jashaszun: /* Z Permutation */

__NOTOC__
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].
{{PLL}}

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.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as a [[sub step]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===
A.K.A. X-PLL, the case you get if you do U2 on this, a case in the [[CPLL]] group.

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|S R U2 R2 U2 R2 U2 R S'|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|L R U2 L' R' y L' R' U2 L R|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}
{{Alg|R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2'|PLL|vidur2=http://www.youtube.com/watch?v=HI9ff1ACklU}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}
{{Alg|(R' U' R2 U) (R U R' U' R U R U') (R U' R' U2)|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|L R' U' R U L' U' R' U Rr U R' U' r' F R F'|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|y R2 (U D') R2' U R2 U' R2' D R2 U' R2' U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}
{{Alg|y x' R' U' F' U R' U' x U R' U' R' U R B R2|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|R' U R' U' y x R' F R' F' R2 U' R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 B' R' B R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]

ShengEn

2010-07-27T18:25:16Z

Jashaszun: /* Type-F II */

{{Manufacturer
|NAME=Sheng-en Cube
|LOGO=Shengen_logo.png
|YEARFOUNDED=2004
|LOCATION=China
|YEARSACTIVE=2004-present
|AREASSERVED=Worldwide
|WEBSITE=http://www.sheng-en.cn/
|PRODUCTS=Type-B, Type-F, Type-F II
}}

Manufacturer of the type-B and type-F 3x3x3 cubes.

== Products ==

=== Type-B ===
Type B cubes are one of the inferior DIY types. Oddly enough, many of the more 'exotic' cube colors are of this type, such as transparent cubes. They can be used in hybrid cubes, for example Erik Akkersdijk (world record holder) used type-B cubie's with a Rubik's DIY core as his main cube.

[[Image:Type_b.jpg|none|thumb|White Type-B Cube]]

=== Type-F ===
{{Puzzle Ratings
|pzl=Type-F
|n=4
|ss=8.5
|lr=8.5
|cc=8.25
|pr=7.25
|qu=7.0
|rl=7.0
|wt=79g
|ov=8.18
}}
Type F cubes are different in that instead of having caps on the inside of the pieces (as all cube pieces are hollow) they have caps on the OUTSIDE so as to keep the rubbing surfaces as smooth as possible. Unfortunately, the core is of bad quality, and deteriorates quickly after lubing. It can be replaced with an A core and improved. Type F cubes often considered to be the smoothest cubes on the market. They turn relatively fast and are used by some speedcubers.
{|
| [[Image:Type-f.jpg|none|thumb|Type-F I]]
|      
| Where to buy:
* Black: [http://www.cube4you.com/product-583.html], [http://cgi.ebay.co.uk/SPEEDCUBE-TYPE-F-Magic-IQ-Rubik-Rubiks-UK-SELLER_W0QQitemZ230433190875QQcmdZViewItemQQptZUK_Toys_Rubiks_RL?hash=item35a6e373db]
|}

=== Type-F II ===
Type-F II cubes are widely considered to be similar in turning quality to the Type-F, but without the drawbacks of [[Core]] deterioration. Many cubers use this cube. The cube has the curious characteristic of slightly rounded cubies and edges that are truncated and capped. The rounded cubies cause average 3x3 stickers to be just under 1mm too small. This cause tiles to extend out from the cubies a little. The truncated edges are presumably to reduce friction in the cube and prevent the edges interfering with the core. This cube is quite light compared to other cubes, which coupled with the smooth turning gives the cube a delicate feel.

{{Puzzle Ratings
|pzl=Type-F II
|n=5
|ss=9.6
|lr=8.4
|cc=8.9
|pr=9.1
|qu=7.0
|rl=8.8
|wt=81g
|ov=9.33
}}

Under the correct tensioning this cube can cut 3/4 of the centre piece with minimal effort and without popping. An interesting characterstic with F-ii's is that with the rounded cubies, you can "reverse corner cut". This means you can slightly misalign the top layer (set it up by pushing the top layer slightly in the direction of U) and you can still cut downwards with an R'.
{|
| [[Image:Type_fII.jpg|none|thumb|Type-F II]]
| [[Image:Type_fII2.jpg|none|thumb|Type-F II Boxed]]
|     
| Where to buy:
* Black: [http://www.popbuying.com/detail.pb/sku.27101], [http://www.cube4you.com/product-566.html], [http://cgi.ebay.co.uk/TYPE-FII-3x3x3-SPEEDCUBE-Magic-IQ-Rubik-UK-SELLER_W0QQitemZ230433193525QQcmdZViewItemQQptZUK_Toys_Rubiks_RL?hash=item35a6e37e35], [http://www.speedcubeshop.com/apps/webstore/products/show/1306948]
* White: [http://www.popbuying.com/detail.pb/sku.27102]

Take note, if buying from popbuying, there have been reports that they send type-F's where type-FII's were ordered.
|}

== See Also ==
* [[3x3x3 Cubes]]
* [[Puzzle Hardware]]

== External Links ==
* [http://www.sheng-en.cn www.sheng-en.cn]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=5612 Comparison of Chinese DIYs]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19013 Where to buy a type f or f-II]

[[Category:Puzzle Manufacturers]]
[[Category:Cubing Terminology]]
{{Stub}}

PLL

2010-07-26T17:31:17Z

Jashaszun: /* H Permutation */

__NOTOC__
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].
{{PLL}}

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.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as a [[sub step]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|S R U2 R2 U2 R2 U2 R S'|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|L R U2 L' R' y L' R' U2 L R|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}
{{Alg|R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2'|PLL|vidur2=http://www.youtube.com/watch?v=HI9ff1ACklU}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|L R' U' R U L' U' R' U Rr U R' U' r' F R F'|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|y R2 (U D') R2' U R2 U' R2' D R2 U' R2' U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|R' U R' U' y x R' F R' F' R2 U' R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 B' R' B R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]

PLL

2010-07-26T15:44:11Z

Jashaszun: /* J Permutation : a */

__NOTOC__
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].
{{PLL}}

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.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as a [[sub step]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|S R U2 R2 U2 R2 U2 R S'|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|L R U2 L' R' y L' R' U2 L R|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|L R' U' R U L' U' R' U Rr U R' U' r' F R F'|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|y R2 (U D') R2' U R2 U' R2' D R2 U' R2' U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|R' U R' U' y x R' F R' F' R2 U' R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 B' R' B R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]

PLL

2010-07-03T00:36:17Z

Jashaszun: /* G Permutation : b */

__NOTOC__
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].
{{PLL}}

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.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as a [[sub step]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|S R U2 R2 U2 R2 U2 R S'|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|L R U2 L' R' y L' R' U2 L R|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|L R' U' R U L' U' R' U Rr U R' U' r' F R F'|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|R' U R' U' y x R' F R' F' R2 U' R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 B' R' B R' U R U|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]