Speedsolving.com Wiki - User contributions [en]

PBL

2013-04-25T02:08:26Z

Wzrds3:

'''Permutation of both layers''', abbreviated as '''PBL''', is a [[step]] used in a number of [[2x2x2]] methods (and thus [[corners first]] methods). Specifically, the [[Ortega method]] and the [[Guimond method]], perhaps the two most popular advanced [[2x2x2]] methods, both finish with a PBL step. When solving only corners, PBL has five unsolved cases, which can be recognized by the number of pairs on each side that are correctly permuted (a solved side has 4 pairs, an adjacent swap has 1 pair, and an opposite swap has 0 pairs), so the unsolved cases are 0+0, 1+0, 1+1, 4+0, and 4+1. [[Algorithm]]s for PBL (for 2x2x2 or CF) can be found at the [[Template:CxLLnav|CxLL]] pages (the grey cases in the topmost line).

It is actually possible, in theory, to do PBL in one step for [[3x3x3]] or [[Square-1]] - in this case we would be permuting not only corners but the whole layers. No [[speedcubing]] method actually uses this, though, because there are about 800 cases in total and recognition is very difficult. For the [[Square-1]], many methods do PBL in two steps, by first solving the [[corner]]s of both layers and then doing the [[edges]] of both layers. Even though two layers are being permuted at once, though, solvers conventionally refer to the steps as simply [[CP]] and [[EP]].

== Algorithms ==
<table cellspacing='5' cellpadding='5'><tr>
<td valign='top'>
==== Swap UF Corners ====

[[Image:PBL1.gif]]
* y' x U2 R' U' R U2 L' U R' U' R2
* R' F R' B2 R F' R' B2 R2 ([[PLL#A_Permutation_:_a|A Permutation]])
* U' x' R2 U2 R' U' R U2 L' U R'
* y' (U') R' U L' U2 R U' R' U2 R L
* y' R U R' U' R' F R2 U' R' U' R U R' F' ([[PLL#T_Permutation_:_t|T Permutation]])
* R U2 R' U' R U2 L' U R' U' L'
</td>

<td valign='top'>
==== Swap U-Layer Diagonal ====
[[Image:PBL2.gif]]
* R U' R' U' F2 U' R U R' D R2
* L' U L D R2 D R' U' R D' R2
* F R U' R' U' R U R' F' R U R' U' R' F R F' ([[PLL#Y_Permutation|Y Permutation]])
* R' U L' U2 R U' x' U L' U2 R U' L
</td>

<td valign='top'>
==== Swap UF + DF Corners ====
[[Image:PBL3.gif]]
* R2 U' R2' (U2' + y) R2 U' R2'
* R2' U' R2 U2' F2 U' R2
* R2' U' R2 U2' x' U2 x' U' R2
* R2 U F2 U2 R2 U R2
* y2 R2 U' B2 U2' R2' U' R2
* z' U2 L U2 (L' R') U2 R U2
</td>

</tr>
<tr>

<td valign='top'>
==== Swap U + D Diagonal ====
[[Image:PBL4.gif]]

* R2' F2 R2
* (R L) U2 (R' L')
</td>

<td valign='top'>
==== Swap UB Corners + D-Layer Diagonal ====
[[Image:PBL5.gif]]

* R U' R F2 R' U R'
* R U' L U2 R' U R'
* y2 R' U L' U2 R U' L
* x2 y' R2 U' R2 U R2 U' R2 U R2
* z2 R D' L U2 L' D R'
* x2 R D' L U2 R' F U'
</td>

<td valign='top'>
==== Swap UB + DB Corners ====
[[Image:PBL6.gif]]
* R2 U' B2 U2' R2' U' R2
* R2' U R2 U2 y' R2' U R2
* L2' U F2' U2 R2' U R2'
</td>

</tr>
</table>

The first two algorithms (Y perm and A perm) only affect the top layer, and because of that, they can be used in LBL methods.

Note that D moves are the same as U + y, just a different notation, what you do for real is something in between. The effect of it is that you transform F moves to R or L (D R makes the same turns as U F + y').
== See also ==
* [[Ortega]]
* [[Guimond]]
* [[OLL (2x2x2)]]

== External links ==
* [http://dtwoner.110mb.com/index.php?p=1_40_PBL David Woner's PBL algs]
* [http://www.cubewhiz.com/ortegapbl.php Bob Burton's PBL algs]

[[Category:2x2x2 substeps]]
[[Category:Algorithms]]

[[Category:Acronyms]]
__NOTOC__
__NOEDITSECTION__

Fridrich Method

2010-03-10T17:27:27Z

Wzrds3: /* Pros */

{{Method Infobox
|name=Fridrich
|image=Fridrich_method.gif
|proposers=[[David Singmaster]] [[Ren Schoof]] [[Jessica Fridrich]] [[Hans Dockhorn]] [[Anneke Treep]]
|year=1981
|anames=CFOP
|variants=[[CLL]]/[[ELL]], [[VH]], [[ZB]], [[MGLS-F]]
|steps=4
|algs=78 to 119 F2L:0 to 41 LL: 78
|moves=56
|purpose=
* [[Speedsolving]]
* [[Speed BLD]]
* [[One-Handed Solving]]
* [[Solving with Feet]]
}}

The '''Fridrich Method''', also '''CFOP'''; ''Cross, F2L, OLL and PLL'', , was popularized by [[Jessica Fridrich]]. It is similar to the [[Layer-By-Layer]] (LBL) [[method]], because some of the steps are the same. However, the full Fridrich method uses many more algorithms than the layer by layer method, and combines some steps from the LBL method into one step. A very large number of people use this method, so there's a huge support network, and almost everyone will be able to help with learning it. The vast majority of the fastest cubers use this method (although that does not mean this is the only fast method).
The fact that the name Fridrich method is used for this method can be discussed. Fridrich was the first to publish and popularize the method although several other people also invented this method at the same time. A 'better' but less used name for this method would simply be the CFOP method.

==The Steps==

1. '''[[Cross]]'''

First, make a cross on any side of the cube. This entails solving all of the edges with a given color to their proper positions.

2. '''[[F2L]] (First Two Layers)'''

In this step you fill in the slots where the corners of the cross are missing. For each insertion, a corner and an edge are placed simultaneously. There are 41 basic cases for this step, but it can be learned intuitively.

3. '''[[OLL]] (Orient the Last Layer)'''

Next, you make the entire top side of the cube a solid color. This requires 57 algorithms, but can be broken down into two steps (2 Look OLL), which only requires 9 algorithms.

4. '''[[PLL]] (Permute the Last Layer)'''

Finally, you finish the cube by permuting the top layer of the cube. There are 21 algorithms to learn, but this step can be done into two steps, (2 Look PLL), which includes just 6 algorithms.

==Pros==

This method is relatively easy to understand when compared to other methods. Therefore, it is the most tested and most popular method used. It has a reasonable number of algorithms to learn, and sub 15 second averages are definitely possible. This method has been used to set many world records. It takes less thinking than block-building methods because it's more algorithm based.

==Cons==

Learning all of the algorithms takes some time, and it requires a lot of practice to solve the F2L consistently in 10 seconds or less. Also, it has a slightly higher move count when compared to block building methods.

== External Links ==

* [http://solvethecube.110mb.com/ Joël van Noort's tutorial]
* [http://erikku.er.funpic.org/rubik/Fridrich.html Erik Akkersdijk's tutorial]
* [http://www.cubefreak.net/Fridrich/main.html Shotaro Makisumi's tutorial]
* [http://www.ws.binghamton.edu/fridrich/cube.html Jessica's Homepage]
* [http://www.youtube.com/watch?v=k-xbcAMfWwM Badmephisto's Intuitive F2L Tutorial]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:3x3x3 Speedsolving Methods]]
[[Category:SpeedBLD Methods]]

VH method

2010-03-10T16:19:50Z

Wzrds3: Punctuation error

{{Method Infobox
|name=VH
|image=Vh_method.gif
|proposers=[[Lars Vandenbergh]] [[Dan Harris]]
|year
|anames
|variants=[[ZBF2L]]
|steps=1 substep
|moves
|purpose=
* [[Speedsolving]]
}}

VH is a variant of the [[Fridrich]] method, which orients the [[last-layer]] edges during insertion of the final [[F2L]] block. It has exactly the same effect as the [[ZBF2L]] stage of the [[ZB method]], but uses much fewer algorithms - 32 as opposed to ZBF2L's 125 (excluding mirror's and inverses). It achieves this by restricting the LL orientation step to the moment before insertion of the final 1x1x2 block (in a similar manner to [[Winter Variation]]). With full ZBF2L, LL orientation is carried out from ''any'' F2L last slot case.

== See Also ==
* [[ZB Method]]
* [[ZBF2L]]
* [[ZBLL]]
* [[Edge Orientation]]
* [[Partial Edge Control]]
* [[EOLine]]
* [[ELS]]

== External Links ==
* [http://www.cosine-systems.com/cubestation/f2l/f2ladvanced-influencingLL.php Algorithms and Description for the VH method] (warning, lots of applets!)
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/vh/vh Dan Harris's VH Description] (on his new site, incomplete)
* [http://www.speedsolving.com/forum/showthread.php?t=2038 speedsolving.com VH Method]
* A well explained guide on VH can be found in the book [http://books.google.com/books?id=sGaiGAAACAAJ Speedsolving the Cube] by co-inventor of the method Dan Harris.

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:3x3x3 Speedsolving Methods]]
[[Category:F2LL Methods]]
[[Category:Cubing Terminology]]

Gelatinbrain

2009-10-20T04:44:33Z

Wzrds3:

'''Gelatinbrain's Virtual Magic Polyhedra''' is a website with virtual simulations of puzzles. Many of these puzzles do not exist in physical form or are not available to the public, hence why many puzzlers solve on gelatinbrain. The controls on gelatinbrain are mouse based. A left-click on a slice, edge, or corner indicates a clockwise move of that type. A left click will spawn a counter-clockwise turn. A shift+click will turn an inner slice. Upon submission after a solve, a record will be instantly submitted to the site, and it will typically be added within a day. Gelatinbrain keeps track and has a record section for puzzle times, movecounts, and total puzzles solved.

Popular puzzles on the simulator that are not publicly available include but are not limited to:
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/dodeca_f8.htm The Gigaminx],
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/dodeca_v7.htm Dinominx],
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/icosa_v0.htm Pyracosaminx],
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/icosa_v1.htm Icosaminx],
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/hexa_v3.htm Dino Cube],
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/hexa_v6.htm Lattice Cube],
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/hexa_e0.htm Helicopter Cube], and the
[http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/hexa_fv1.htm Super-x].

===See also:===
* [[Web-based Software]]

==Links==
* [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/index.htm Gelatinbrain's Virtual Magic Polyhedra]
[http://twistypuzzles.com/forum/viewtopic.php?f=8&t=7830 A massive thread with solutions and discussion about the applet]

[[Category:Cubing Software]]
[[Category:Cubing Utilities]]

PLL

2009-10-14T18:00:31Z

Wzrds3: /* Z Permutation */ edited 4th alg to match image of 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.

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

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'
* M2 U M2 U2 M2 U M2
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U

===U Permutation : a===

[[Image:u1.gif]]

* (y2) F2 U' L R' F2 L' R U' F2
* M2 U M' U2 M U M2
* (y2) M2 U M U2 M' U M2
* R2 U' R' U' R U R U R U' R
* (y2) L2 U' L' U' L U L U L U' L
* B2 U' M' U2 M U' B2
* (y2) R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* (y) R2 U' y r U2 r' R U2 R' y' U' R2
* R U R' U' L' U' L U2 R U' R' U' L' U L
* (y) R2' U' S' U2 S U' R2'

===U Permutation : b===

[[Image:u.gif]]

* (y2) F2 U R' L F2 R L' U F2
* M2 U' M' U2 M U' M2
* (y2) M2 U' M U2 M' U' M2
* R' U R' U' R' U' R' U R U R2
* (y2) R2' U R U R' U' R' U' R' U R'
* B2 U M' U2 M U B2
* L2 U L U L' U' L' U' L' U L'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2
* L' U' L U R U R' U2 L' U L U R U' R'

===Z Permutation===

[[Image:z.gif]]
* y x' R U' R' U D R' D U' R' U R D2' F x
* y M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* y U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2
* 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
* y R U R' U R' U' R' U R U' R' U' R2 U R U2
* y' R U R B' R' B U' R' f R U R' U' f'
* (x2 y) M2 U S2 U' S' M2 S
* M2 U (F2 M2 F2 M2) U' M2

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

===A Permutation : a===

[[Image:a1.gif]]

* R' F R' B2 R F' R' B2 R2
* (x') R' D R' U2 R D' R' U2 R2
* (x) R' U R' D2 R U' R' D2 R2
* (y' x) L2 D2 L' U' L D2 L' U L'
* (y2) (L' B L') (F2 L B' L') (F2 L2)
* (y2 z) F2 R U2 R' U2 F2 L' U2 L U2
* (y z') U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R
* (y) R2 F2 (R' B' R) F2 (R' B R')

===A Permutation : b===

[[Image:a.gif]]

* R B' R F2 R' B R F2 R2
* (x) R D' R U2 R' D R U2 R2
* (x') R U' R D2 R' U R D2 R2
* (y' x) R2 D2 R U R' D2 R U' R
* (y2 x) L U' L D2 L' U L D2 L2
* (y z) U2 L' U2 L F2 U2 R U2 R' F2
* (z') F2 L' U2 L U2 F2 R U2 R' U2
* (y') R' U2 R U' L' U R U' L U R2 U2 R
* (z) (U R' D r2 U') (R U r2' U') (D')
* (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

===E Permutation===

[[Image:e.gif]]

* R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'
* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U r2 U R' U' r' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')
* l' U' (r' F R F') (R U R' U') L (U R U' R') F
* (F' R U R' U') L' U R U' (l' U R' U' r) F R

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* (y2) R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2
* (y2) M U2 r' U l' U2 r U' R2 r U2 R2

===G Permutation : a===

[[Image:g3.gif]]

* (y) R2' u R' U R' U' R u' R2 y' R' U R
* (y) R2 D B' U B' U' B D' R2 F' U F
* (y2) F2' D R' U R' U' R D' F2 L' U L
* R L U2 R' L' y' R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* R' U' R y R2 u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y2) L' U' L y' R2' u R' U R U' R u' R2
* (y') R' U L' U2 R U' L y R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]
* (y) R2' u' R U' R U R' u R2 y R U' R'
* (y) R2' u' R U' R U R' u R2 B U' B'
* (y) R2' D' F U' F U F' D R2 B U' B'
* (y2) F2' D' L U' L U L' D F2 R U' R'
* L' R' U2 L R (y) L U' R U2 L' U R'
* (y') l' U' U' L' U l F' U' L U F R' F R

===G Permutation : d===

[[Image:g.gif]]

* (y2) R U R' y' R2 u' R U' R' U R' u R2
* (y2) R U R' F2 D' L U' L' U L' D F2
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x
* (y) L U' R U2 L' U R' y R' L' U2 R L
* (y) L U' R U2 L' U R' y' L' R' U2 L R
* (y') R' F' R F' U' L' U F R' F' L F2 R

===J Permutation : a===

[[Image:j1.gif]]

* (y2) R' U2 R U R' z' R2' U R' D R U'
* (y2) L' R' U2 R U R' U2 L U' R U
* (y2) F2 L' U' r U2 l' U R' U' R2
* (y2) R' U2 R U R' U2' L U' R U L'
* (y2) x U2 r' U' r U2 l' U R' U' R2
* (y) R' U L' U2 R U' R' U2 L R U'
* B2' R2 U' R2' u R2 D' R2' U R2
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* R U2 R' U' R d2' R' U L' U' R
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y' L' U' R U2 L' U L U2 L' R U
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* R' U R2 B2 U R' B2' R U' B2 R2' U' R
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R' U L' U2 R U' L R' U L' U2 R U' L
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* R U' R2' F2 U' R F2' R' U F2 R2 U R'
* z U' R D' R2' U R' (U' D) R D' R2 U R' D
* z (D' R U' R2' D R3 U) * 2
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U
* R U2 R D R' U R D' R' U' R' U R U R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'
* R' U2 R' D' R U' R' D R U R U' R' U' R U'
* (y x) R2 U l U R U' l' U' l U2 R' U2 R

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* y2 L' U' L U L F' L2 U L U L' U' L F
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
* R' U R' U' y R' F' R2 U' R' U R' F R F
* R' U R' U' y R' D R' D' R2 F' R' F R F
* R' U2 R U2 L U' R' U L' U L U' R U L'
* R' U2 R U2 L U' R' U r' F r U' R U r'

===Y Permutation===

[[Image:Y.gif]]

* F R U' R' U' R U R' F' R U R' U' R' F R F'
* R2 u R2' U R2 D' R' U' R F2' R' U R
* F R' F R2 U' R' U' R U R' F' R U R' U' F'
* R' U' R F2 R' U R d R2 U' R2' U' R2
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* y F' L' U L U L' U' L F L' U' L U L' F' L F
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* F R U' R' U' R d R U R' B' R U' R2
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

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

PLL

2009-10-14T17:54:50Z

Wzrds3: /* J Permutation : a */ added another alg.

__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.

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

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'
* M2 U M2 U2 M2 U M2
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U

===U Permutation : a===

[[Image:u1.gif]]

* (y2) F2 U' L R' F2 L' R U' F2
* M2 U M' U2 M U M2
* (y2) M2 U M U2 M' U M2
* R2 U' R' U' R U R U R U' R
* (y2) L2 U' L' U' L U L U L U' L
* B2 U' M' U2 M U' B2
* (y2) R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* (y) R2 U' y r U2 r' R U2 R' y' U' R2
* R U R' U' L' U' L U2 R U' R' U' L' U L
* (y) R2' U' S' U2 S U' R2'

===U Permutation : b===

[[Image:u.gif]]

* (y2) F2 U R' L F2 R L' U F2
* M2 U' M' U2 M U' M2
* (y2) M2 U' M U2 M' U' M2
* R' U R' U' R' U' R' U R U R2
* (y2) R2' U R U R' U' R' U' R' U R'
* B2 U M' U2 M U B2
* L2 U L U L' U' L' U' L' U L'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2
* L' U' L U R U R' U2 L' U L U R U' R'

===Z Permutation===

[[Image:z.gif]]
* y x' R U' R' U D R' D U' R' U R D2' F x
* y M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2
* 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
* y R U R' U R' U' R' U R U' R' U' R2 U R U2
* y' R U R B' R' B U' R' f R U R' U' f'
* (x2 y) M2 U S2 U' S' M2 S
* M2 U (F2 M2 F2 M2) U' M2

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

===A Permutation : a===

[[Image:a1.gif]]

* R' F R' B2 R F' R' B2 R2
* (x') R' D R' U2 R D' R' U2 R2
* (x) R' U R' D2 R U' R' D2 R2
* (y' x) L2 D2 L' U' L D2 L' U L'
* (y2) (L' B L') (F2 L B' L') (F2 L2)
* (y2 z) F2 R U2 R' U2 F2 L' U2 L U2
* (y z') U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R
* (y) R2 F2 (R' B' R) F2 (R' B R')

===A Permutation : b===

[[Image:a.gif]]

* R B' R F2 R' B R F2 R2
* (x) R D' R U2 R' D R U2 R2
* (x') R U' R D2 R' U R D2 R2
* (y' x) R2 D2 R U R' D2 R U' R
* (y2 x) L U' L D2 L' U L D2 L2
* (y z) U2 L' U2 L F2 U2 R U2 R' F2
* (z') F2 L' U2 L U2 F2 R U2 R' U2
* (y') R' U2 R U' L' U R U' L U R2 U2 R
* (z) (U R' D r2 U') (R U r2' U') (D')
* (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

===E Permutation===

[[Image:e.gif]]

* R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'
* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U r2 U R' U' r' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')
* l' U' (r' F R F') (R U R' U') L (U R U' R') F
* (F' R U R' U') L' U R U' (l' U R' U' r) F R

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* (y2) R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2
* (y2) M U2 r' U l' U2 r U' R2 r U2 R2

===G Permutation : a===

[[Image:g3.gif]]

* (y) R2' u R' U R' U' R u' R2 y' R' U R
* (y) R2 D B' U B' U' B D' R2 F' U F
* (y2) F2' D R' U R' U' R D' F2 L' U L
* R L U2 R' L' y' R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* R' U' R y R2 u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y2) L' U' L y' R2' u R' U R U' R u' R2
* (y') R' U L' U2 R U' L y R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]
* (y) R2' u' R U' R U R' u R2 y R U' R'
* (y) R2' u' R U' R U R' u R2 B U' B'
* (y) R2' D' F U' F U F' D R2 B U' B'
* (y2) F2' D' L U' L U L' D F2 R U' R'
* L' R' U2 L R (y) L U' R U2 L' U R'
* (y') l' U' U' L' U l F' U' L U F R' F R

===G Permutation : d===

[[Image:g.gif]]

* (y2) R U R' y' R2 u' R U' R' U R' u R2
* (y2) R U R' F2 D' L U' L' U L' D F2
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x
* (y) L U' R U2 L' U R' y R' L' U2 R L
* (y) L U' R U2 L' U R' y' L' R' U2 L R
* (y') R' F' R F' U' L' U F R' F' L F2 R

===J Permutation : a===

[[Image:j1.gif]]

* (y2) R' U2 R U R' z' R2' U R' D R U'
* (y2) L' R' U2 R U R' U2 L U' R U
* (y2) F2 L' U' r U2 l' U R' U' R2
* (y2) R' U2 R U R' U2' L U' R U L'
* (y2) x U2 r' U' r U2 l' U R' U' R2
* (y) R' U L' U2 R U' R' U2 L R U'
* B2' R2 U' R2' u R2 D' R2' U R2
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* R U2 R' U' R d2' R' U L' U' R
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y' L' U' R U2 L' U L U2 L' R U
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* R' U R2 B2 U R' B2' R U' B2 R2' U' R
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R' U L' U2 R U' L R' U L' U2 R U' L
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* R U' R2' F2 U' R F2' R' U F2 R2 U R'
* z U' R D' R2' U R' (U' D) R D' R2 U R' D
* z (D' R U' R2' D R3 U) * 2
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U
* R U2 R D R' U R D' R' U' R' U R U R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'
* R' U2 R' D' R U' R' D R U R U' R' U' R U'
* (y x) R2 U l U R U' l' U' l U2 R' U2 R

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* y2 L' U' L U L F' L2 U L U L' U' L F
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
* R' U R' U' y R' F' R2 U' R' U R' F R F
* R' U R' U' y R' D R' D' R2 F' R' F R F
* R' U2 R U2 L U' R' U L' U L U' R U L'
* R' U2 R U2 L U' R' U r' F r U' R U r'

===Y Permutation===

[[Image:Y.gif]]

* F R U' R' U' R U R' F' R U R' U' R' F R F'
* R2 u R2' U R2 D' R' U' R F2' R' U R
* F R' F R2 U' R' U' R U R' F' R U R' U' F'
* R' U' R F2 R' U R d R2 U' R2' U' R2
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* y F' L' U L U L' U' L F L' U' L U L' F' L F
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* F R U' R' U' R d R U R' B' R U' R2
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

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

PLL

2009-02-03T06:53:46Z

Wzrds3: typo on 1st E 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.

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

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2]
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* L R U2 x U' D' x' y U2 L R
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'

===U Permutation : a===

[[Image:u1.gif]]

* y2 M2 U M U2 M' U M2
* M2 U M' U2 M U M2
* R2 U' R' U' R U R U R U' R
* B2 U' M' U2 M U' B2
* y2 R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* y R2 U' y r U2 r' R U2 R' y' U' R2

===U Permutation : b===

[[Image:u.gif]]

* y2 M2 U' M U2 M' U' M2
* M2 U' M' U2 M U' M2
* R' U R' U' R' U' R' U R U R2
* B2 U M' U2 M U B2
* y2 R2 U R U R' U' R' U' R' U R'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2

===Z Permutation===

[[Image:z.gif]]
* x' R U' R' U D R' D U' R' U R D2' F x
* x M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* M' U M2 U M2 U M' U2 M2 U'
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2

==Permutations of Corners Only==

===A Permutation : a===

[[Image:a1.gif]]

* x R' U R' D2 R U' R' D2 R2
* (L' B L') (F2 L B' L') (F2 L2)
* y2 z F2 R U2 R' U2 F2 L' U2 L U2
* y z' U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R
* (U R' D r2 U') (R U r2' U') (D')

===A Permutation : b===

[[Image:a.gif]]

* y' x R2 D2 R U R' D2 R U' R
* (R B' R) F2 (R' B R) (F2 R2)
* y z U2 L' U2 L F2 U2 R U2 R' F2
* z' F2 L' U2 L U2 F2 R U2 R' U2
* y' R' U2 R U' L' U R U' L U R2 U2 R
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

===E Permutation===

[[Image:e.gif]]

* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U Rw2 U R' U' Rw' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2

===G Permutation : a===

[[Image:g3.gif]]

* R2' u R' U R' U' R u' R2 y' R' U R
* y R2 D B' U B' U' B D' R2 F' U F
* R L U2 R' L' (y') R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* y L' U' L y' R2' u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y') R' U L' U2 R U' L (y) R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]

* y R2' u' R U' R U R' u R2 B U' B'
* R U R' F2 D' L U' L' U L' D F2
* L' R' U2 L R (y) L U' R U2 L' U R'

===G Permutation : d===

[[Image:g.gif]]

* y L U' R U2 L' U R' y (R' L') U2 (R L)
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)
* F2 D' L U' L U L' D F2 R U' R'
* (l' U' U' L' U l F') (U' L U F R' F R)
* (y) L U' R U2 L' U R' (y') L' R' U2 L R

===J Permutation : a===

[[Image:j1.gif]]

* y2 R' U2 R U R' z' R2' U R' D R U'
* y2 L' R' U2 R U R' U2 L U' R U
* y2 F2 L' U' r U2 l' U R' U' R2
* y2 R' U2 R U R' U2' L U' R U L'
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R' U L' U2 R U' L R' U L' U2 R U' L
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* z U' R D' R2' U R' (U' D) R D' R2 U R' D' R'
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* y' R U2 R' U' R'F'R U2 R U2 R' F R U' R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R

===Y Permutation===

[[Image:Y.gif]]

* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* F R U' R' U' R U R' F' R U R' U' R' F R F'
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* R' U' R F2 R' U R U y' R2 U' R2' U' R2
* F R U' R' U' R d R U R' B' R U' R2

 {{PLL}}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]