Speedsolving.com Wiki - User contributions [en]

First Two Layers

2010-06-01T04:50:33Z

Edward: /* F2L 18 */

__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}}

|-valign="top"
|

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

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

|-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}}

|-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}}
|

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

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

|-valign="top"
|

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

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

|

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

{{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}}
|

=== 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}}
|-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}}
|-valign="top"
|
=== F2L 21 ===
[[Image:F2L21.png]]

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

|

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

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

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

{{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}}
|-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}}
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}}

|-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}}

|-valign="top"
|

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

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

=== 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}}
|-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}}
|

=== 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}}
|-valign="top"
|
=== F2L 41 ===
[[Image:F2L41.png]]

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

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

{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}
{{Alg|(R U R' U')(R U' R') U2 (F' U' F)|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]

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

Roux method

2010-04-20T17:56:26Z

Edward: /* External Links */

{{Method Infobox
|name=Roux
|image=Roux_method.gif
|proposers=[[Gilles Roux]]
|year=2003
|anames
|variants
|steps=4
|moves=[[Speedsolving|Speed]]:48, [[FM]]:28-
|purpose=
* [[Speedsolving]]
* [[Fewest Moves]]
}}

The '''Roux Method''' was invented by [[Gilles Roux]]. Unlike [[Fridrich]] and [[Petrus]], the inventor of this [[method]] has done a sub-15 second average (of 5) with it in competition.

==The Steps==

1. Build a 1x2x3 block anywhere on the cube.

2. Build a second 1x2x3 block opposite of the first 1x2x3 block, without disrupting the first 1x2x3 block. After this step, there should be two 1x2x3 blocks: one on the lower left side, and one lower right side, leaving the U slice and M slice free to move.

3. Simultaneously [[orient]] and [[permute]] the remaining 4 corners on the top layer (U-slice). You can use [[CMLL]],[[COLL]], or Corner OLL's (along with T and Y permutation) to do this.

4. [[Orient]] the 6 remaining edges (UF, UB, UF, UR, DF, DB need to be oriented correctly).

5. Solve the left and right layer edges. After this step, both the left and right side layers should be complete.

6. Solve the centers and edges in the M slice.

''See also: [[E15]]''

==Pros==

Like the Petrus method, the Roux method uses fewer moves than the popular Fridrich method. It is also more intuitive and requires fewer algorithms.

==Cons==

Block building can be difficult for a beginner to get used to. The reliance on r and M moves may also be difficult for some people, so much so that cubers who have trouble with M turns should probably not use this as their main method. Slice turns can also be slower than using a [[quarter-turn metric]].

== External Links ==

* [http://grrroux.free.fr/method/Intro.html Gilles Roux's tutorial]
* [http://rouxcentral.forummotion.com/forum.htm Roux Central Forums]
* Wikia: [http://rubiks.wikia.com/wiki/Roux_Method Roux Method]
* [http://www.speedsolving.com/forum/showthread.php?t=11506 Waffle's Roux Tutorial]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:3x3x3 Speedsolving Methods]]
[[Category:Fewest Moves Methods]]

Roux method

2010-04-20T17:53:02Z

Edward: /* The Steps */

{{Method Infobox
|name=Roux
|image=Roux_method.gif
|proposers=[[Gilles Roux]]
|year=2003
|anames
|variants
|steps=4
|moves=[[Speedsolving|Speed]]:48, [[FM]]:28-
|purpose=
* [[Speedsolving]]
* [[Fewest Moves]]
}}

The '''Roux Method''' was invented by [[Gilles Roux]]. Unlike [[Fridrich]] and [[Petrus]], the inventor of this [[method]] has done a sub-15 second average (of 5) with it in competition.

==The Steps==

1. Build a 1x2x3 block anywhere on the cube.

2. Build a second 1x2x3 block opposite of the first 1x2x3 block, without disrupting the first 1x2x3 block. After this step, there should be two 1x2x3 blocks: one on the lower left side, and one lower right side, leaving the U slice and M slice free to move.

3. Simultaneously [[orient]] and [[permute]] the remaining 4 corners on the top layer (U-slice). You can use [[CMLL]],[[COLL]], or Corner OLL's (along with T and Y permutation) to do this.

4. [[Orient]] the 6 remaining edges (UF, UB, UF, UR, DF, DB need to be oriented correctly).

5. Solve the left and right layer edges. After this step, both the left and right side layers should be complete.

6. Solve the centers and edges in the M slice.

''See also: [[E15]]''

==Pros==

Like the Petrus method, the Roux method uses fewer moves than the popular Fridrich method. It is also more intuitive and requires fewer algorithms.

==Cons==

Block building can be difficult for a beginner to get used to. The reliance on r and M moves may also be difficult for some people, so much so that cubers who have trouble with M turns should probably not use this as their main method. Slice turns can also be slower than using a [[quarter-turn metric]].

== External Links ==

* [http://grrroux.free.fr/method/Intro.html Gilles Roux's tutorial]
* [http://rouxcentral.forummotion.com/forum.htm Roux Central Forums]
* Wikia: [http://rubiks.wikia.com/wiki/Roux_Method Roux Method]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:3x3x3 Speedsolving Methods]]
[[Category:Fewest Moves Methods]]

FAQ

2010-02-04T11:38:49Z

Edward: /* What is the best cube? */

== Frequently Asked Questions ==
Feel free to fill in the answers. Link to posts or sites you feel are relevant or provide your own original content.

Do *not* copy other people's content from their sites and simply paste it in here. That's called plagiarism and it's stealing.
=== Cubes ===
==== What is the best cube? ====
It really depends on your personal preference. For DIYs, types A, C, D, F and Cube4you or Edison cubes are often used. Storebought cubes are also rather popular and can be decent after breaking in. Experiment, and you'll find a good cube eventually. Many people like to use hybrids as well, which are made from cubes of different types. For example, Erik Akkersdijk used a hybrid with a core from Rubiks.com and type B cubies during his world record single solve.

For more information, see the [[Cube Hardware]] page.

==== Where can I buy cubes? ====
You can try [http://www.rubikfans.com: Rubikfans], [http://www.rubiks.com: Rubik's official Store], [http://www.9spuzzles.com: 9spuzzles], [http://www.puzl.co.uk: puzl.co.uk ], [http://www.cube4you.com: Cube4You], [http://cubefans.com/: Cubefan's], or other places such as ebay. Cubefans and Cube4You are the same store, it's just that Cube4You works best on Internet Explorer. For specialty products, try [http://www.mefferts.com/: Meffert's] and the [https://v-cubes.com/ecom/home.php?cat=248: V Cube shop]. Also, it's a good idea to check some garage sales or flea markets, as puzzles have been found for much cheaper than actual value.

Be aware that buying "knock-offs" (illegal copies of currently patented puzzles) is frowned upon by many forum members. A "[[Knock-Off Policy|knock-off policy]]" is currently under discussion.

@ See [http://www.speedsolving.com/forum/showthread.php?t=15237 speedsolving.com discussion]

==== How do I lubricate my cube? ====
You can either take a piece or two out and spray the lubricant in directly, or disassemble and fully spray the lubricant on every piece with sweeps. There are many tutorials in youtube if you need help. Also, check youtube for techniques to lubricate big cubes.

The best lubricants tend to be silicone based. Products like Jig-a-Loo and CRC Heavy Duty Silicone spray are very popular among cubers. There is a lubricant made specially for cubing which can be bought at [http://stores.shop.ebay.com/PuzzleProz Puzzleproz]. You should never use WD-40 lube on your cube as it contains petroleum distillates which can damage the plastic. Some people do use petroleum jelly to break in really stiff cubes such as storeboughts, but it should never be used as lube.

For more info on lubricants see the [[lubrication]] page.

==== How do I keep my screws from unscrewing when I turn the Cube? ====
Several options:
# Replace the core
# Replace the screws
# Glue or locktite them in place
==== Textured or Smooth Tiles? ====
Both of them are durable, so if you are looking for a more permanent replacement for your stickers, this is the way to go.

As for which type, it's all in your preference. Textured will have more of a grip which can help if you have sweaty, oily, moist, etc. hands since it will keep it from slipping too much.

Smooth, however, does still have texture. It just so happens to have a little bit less, so if you don't want something quite as bumpy, get the smooth tiles.

=== Notation ===
==== What does <insert some notation here> mean? ====
The official notation of the World Cube Association can be found here: [http://www.worldcubeassociation.org/regulations/#notation]

Wikipedia also has a description of the notation in a different format: [http://en.wikipedia.org/wiki/Rubik%27s_Cube#Move_notation]

There are many other references on the Net, try googling "rubik cube notation" if you don't like either of the above.
Here's a page with pictures: http://www.cubewhiz.com/notation.html

==== The notation I'm asking about isn't in the WCA regulations ====
That isn't a question.
However, some older notation used "w" for a wide turn, so Rw would be the same as r in WCA notation.
(This topic can be added to)

==== The notation I'm asking about came from a Japanese cuber site ====
Also, not a question.
Japanese cubers commonly use a different notation for cube rotations. (r) means to rotate the entire cube in the direction you would make an R turn. Similarly, (u') would be the same as a y rotation.

=== Timers ===
==== Where can I buy a timer like they use in competition? ====
* [http://www.speedstacks.com: speedstacks.com] is probably the most reliable source for timers, but they only ship to the US and Canada.
* [http://www.cube4you.com/catalog_23.html cube4you.com]
* [http://www.kidology.org/store/catalog.asp?item=1168&category=103 kidology.org]
* [http://www.puzl.co.uk/stackmat-speedcubing-timer-p-210.html puzl.co.uk]
* [http://www.ebay.com: eBay] sometimes you can find a cheap deal.
It's also possible to make your own timer [http://grrroux.free.fr/workshop/workshop.html].

@ see related threads on forum [http://www.speedsolving.com/forum/showthread.php?t=9624 here] and [http://www.speedsolving.com/forum/showthread.php?t=6333 here].

==== Are there timers on the Internet? ====
Yes.

Try [http://www.cubetimer.com Cubetimer], [http://www.rubetimer.com Rubetimer], or look for other timers. Also, [http://www.cubemania.com Cubemania] is a site that times and keeps track of all the solves you submit. The [[Web-based Software]] Wiki page also has up-to-date info on online timers.

==== Can I download a timer for my computer/phone/psp? ====
You can download CCT [http://cube.garron.us/cct/] for your computer. This is the timer that is very popular with many features like being able to connect a speedstacks timer with a data port to the computer and use it with CCT. Another great timer is [http://www.strangepuzzle.com/jnetcube.html JNet Cube].

For your phone, if it has a built in timer, then use that. If you don't then you probably won't be able to time yourself. However, if you have an iPhone or iPod Touch, then you're in luck. There is an app that times your solves called "iCube Timer".

Note that for solves that take more than 15 seconds, a simple analog clock will work just fine if you don't need precise timing.

==== Where can I find a scramble generator? ====
Most timers (customized for cubing) come preset with scrambles.
If your timer does not have scrambles, you can use [http://www.worldcubeassociation.org/regulations/#scrambling this page] to find a scramble generator for your puzzle. The [[Web-based Software]] Wiki page also has up-to-date info on online scramblers.

==== What is standard deviation? ====
http://en.wikipedia.org/wiki/Standard_deviation
In probability theory and statistics, standard deviation is a measure of the variability or dispersion of a population, a data set, or a probability distribution. A low standard deviation indicates that the data points tend to be very close to the same value (the mean), while high standard deviation indicates that the data are spread out over a large range of values.

=== Competitions ===
==== Where are the rules for WCA competitions? ====
On the [http://www.worldcubeassociation.org/regulations/ WCA site] of course!

==== How fast do I need to be to compete ====
There's no requirement for speed to participate in most competitions. Even high level competitions like the US Nationals are open to all, if you see a time listed for "prequalification", this is a time that allows you to skip the qualifying round. If you are slower than that time you will still be allowed to take part in the qualifications.

If you have the opportunity to attend a competition, even if you're not very fast, most experienced competitors would advise you to go for the social interaction and experience.

=== Methods ===
==== What is the fastest method? ====
There is no ''ultimate method'', its really down to personal preference. The most popular [[3x3x3 Speedcubing Methods | speedcubing method]] is currently Fridrich, although other methods such as [[Petrus]], [[Roux]] and [[ZZ]] are rising in popularity. [[Fridrich]] is currently used by many of the top speedcubers, and is as such believed to be the fastest method. However, others attribute this to its popularity. The most obvious/natural progression from the [[beginner LBL]] method is Fridrich, which may explain its popularity. Being the most popular means it gains the most support and development, and is also more likely to be adopted by a talented cuber. More info can be found in the [http://www.speedsolving.com/forum speedsolving forums], where this often comes up as topic of debate.

==== What is the easiest method? ====
The easiest [[Complete Method List | method]] to learn is probably the beginner's [[layer-by-layer]] (LBL) method in which you solve the first, second, and the finally the last layer one by one. It's pretty basic, therefore easy to learn. However, this method however is relatively inefficient and is hard to achieve good times with. Other [[3x3x3 Beginner Methods | beginner]] methods exist, focusing on lower numbers of algorithms and/or more intuitive solving. Compared to the others, the [[LBL]] method has the easiest transition to the popular [[Fridrich]] speedcubing method.

==== What is the method that uses the fewest moves? ====
The most popular method for Fewest Moves solving is the [[Petrus]] method. Although it is designed for speed, it tends to have a very good move efficiency compared to other methods. The [[Heise]] method is another method that was designed specifically for move efficiency rather than speed. It is highly intuitive and very difficult to master. Other methods can be still be made efficient if you plan your moves carefully.
More info on FM can be found on the [[Fewest Moves]] page.

==== Should I learn algorithms for F2L or learn it intuitively? ====
That is entirely your choice. Learning the algs isn't entirely hard since most cases can be seen and understood by practicing the algorithms. Intuitively, it will take practice to be able to do with speed and efficiency.

Most people choose to learn intuitively and with some practice, it can be just as fast. Intuitive F2L is may take more time to master but it is generally preferred because it allows for the use of advanced speed-reducing techniques such as multislotting and the use of empty slots.

==== How can I get faster? ====
Practise, practise, practise. That is the key way to get speed. Normally, with some work, your times will gradually drop without you doing anything.

If you haven't, try learning an advanced method. That should help you lower your times considerably.

Work on lowering your move count, look ahead and experiment with tricks.

Learn new algorithms.

Unglue your eyes from your computer screen, pick up your puzzle, and try to get faster. :p
==== I think I invented a new method, did I? ====
Probably not. If you haven't studied and don't fully understand the concepts behind all the major solving methods (CFOP, Petrus, Roux, ZZ, Waterman) and know the basic philosophy of the advanced variations (MGLS, ZB, Heise) then don't even bother asking.

=== Miscellaneous ===
==== Should a make a new web site about cubing? ====
Probably not unless you're actually going to provide something fresh and new and not just rehash the information already available on the 'net.
@see the Wiki [[Cubing Sites | list of cubing sites]]
==== What does AUF mean? ====
Adjust U Face
==== What does XXX mean? ====
Macky created a great glossary of cubing terms. This is a great first stop if you see a term or abbrevation you don't understand.
http://cubefreak.net/other/glossary.html

== See Also ==
* [[Main Page]]
* [[General Information]]
* [[Puzzle Theory]]
* [[Puzzle Notation]]
* [[Puzzle Hardware]]
* [[Cubing Terminology]]
* [[Methods]]

[[Category:Cubing Resources]]

OLL

2009-12-26T18:41:02Z

Edward: /* OLL 27 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].

Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].

The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.

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

==All edges flipped correctly==
This subgroup, '''OCLL''' is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]].
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
=== OLL 21 ===
[[Image:o21.gif]]

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

=== OLL 22 ===
[[Image:o22.gif]]

{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}
{{Alg|R U' L' U R' U L U L' U L|OLL}}

=== OLL 23 ===
[[Image:o23.gif]]

{{Alg|R2 D' R U2 R' D R U2 R|OLL}}
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}

=== OLL 24 ===
[[Image:o24.gif]]

{{Alg|r U R' U' L' U R U' x'|OLL}}
{{Alg|r U R' U' r' F R F'|OLL}}
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}
{{Alg|y x D' R' U R D R' U' R x'|OLL}}
{{Alg|y x D L U' L' D' L U L' x' |OLL}}
{{Alg|y x' U' R' D R U R' D' R x|OLL}}
{{Alg|y2 R' F' r U R U' r' F|OLL}}
{{Alg|y2 l' U' L U R U' r' F|OLL}}

||

=== OLL 25 ===
[[Image:o25.gif]]

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

=== OLL 26 ===
[[Image:o26.gif]]

{{Alg|y2 R' U' R U' R' U2 R|OLL}}
{{Alg|y' R U2 R' U' R U' R'|OLL}}
{{Alg|y' L U2 L' U' L U' L'|OLL}}
{{Alg|L' U' L U' L' U2 L|OLL}}
{{Alg|L' U R U' L U R'|OLL}}

=== OLL 27 ===
[[Image:o27.gif]]

{{Alg|R U R' U R U2 R'|OLL}}
{{Alg|y' R' U2 R U R' U R|OLL}}
{{Alg|y L' U2 L U L' UL|OLL}}
{{Alg|y2 L U L' U L U2 L'|OLL}}
{{Alg|R U' L' U R' U' L|OLL}}
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}
|}

==No edges flipped correctly==
{|border="0" width="100%" \
valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL}}
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}

=== OLL 2 ===
[[Image:o2.gif]]

{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL}}
{{Alg|y2 F' L' U' L U F f' L' U' L U f|OLL}}
{{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}
{{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}

=== OLL 3 ===
[[Image:o3.gif]]

{{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}
{{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL}}
{{Alg|y2 M U l' U2 l U L' U L M'|OLL}}

=== OLL 4 ===
[[Image:o4.gif]]

{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}
||

=== OLL 17 ===
[[Image:o17.gif]]

{{Alg|R U R' U R' F R F' U2 R' F R F'|OLL}}
{{Alg|f R U R' U' y' M U R' U' R' F R F'|OLL}}
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}

=== OLL 18 ===
[[Image:o18.gif]]

{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}

=== OLL 19 ===
[[Image:o19.gif]]

{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}

=== OLL 20 ===
[[Image:o20.gif]]

{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}
{{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}
{{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}
{{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}
{{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}

|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

{{Alg|L' d' R d L U' L' B' L|OLL}}
{{Alg|S' L' U' L U L F' L' f|OLL}}
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}
{{Alg|L' U' B U L U' L' B' L|OLL}}

=== OLL 32 ===
[[Image:o32.gif]]

{{Alg|R d L' d' R' U R B R'|OLL}}
{{Alg|S R U R' U' R' F R f'|OLL}}
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}
{{Alg|R U B' U' R' U R B R'|OLL}}
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}

||

=== OLL 43 ===
[[Image:o43.gif]]

{{Alg|f' L' U' L U f|OLL}}
{{Alg|B' U' R' U R B|OLL}}
{{Alg|y2 F' U' L' U L F|OLL}}
{{Alg|U R U R' F' L' U' L F|OLL}}
{{Alg|y2 R' U' F R' F' R U R|OLL}}

=== OLL 44 ===
[[Image:o44.gif]]

{{Alg|f R U R' U' f'|OLL}}
{{Alg|y2 F U R U' R' F'|OLL}}
{{Alg|y R U y' L U' L' B'|OLL}}
{{Alg|y F U R' F R F' U' F'|OLL}}
|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}
||

=== OLL 38 ===
[[Image:o38.gif]]

{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}
|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}

=== OLL 54 ===
[[Image:o54.gif]]

{{Alg|r U R' U R U' R' U R U2 r'|OLL}}
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}

=== OLL 50 ===
[[Image:o50.gif]]

{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}
{{Alg|y' [R U2 R' U' R U' R'] [F R U R' U' F']|OLL}}
{{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}

||

=== OLL 47 ===
[[Image:o47.gif]]

{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|R' U' x R' U R U' R' U R U' x' U R|OLL}}
{{Alg|b' U' R' U R U' R' U R b|OLL}}
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}

=== OLL 48 ===
[[Image:o48.gif]]

{{Alg|F R U R' U' R U R' U' F'|OLL}}
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}

=== OLL 49 ===
[[Image:o49.gif]]

{{Alg|R B' R2 F R2 B R2 F' R|OLL}}
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

{{Alg|R U R' U' x D' R' U R E' z'|OLL}}
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}
{{Alg|R U R' U' y' r' U' R U M'|OLL}}
{{Alg|(R U R' U') B' (R U R' F') B|OLL}}
{{Alg|R U R' d' l' U' L U r' R|OLL}}
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}

||

=== OLL 46 ===
[[Image:o46.gif]]

{{Alg|R' U' R' F R F' U R|OLL}}
{{Alg|R' U' l' U l F' U R|OLL}}
{{Alg|y F U F l' U' l U' F'|OLL}}
{{Alg|R U l U' R' U F' l'|OLL}}
{{Alg|y2 L F U' R U R' F' L'|OLL}}
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

{{Alg|R U R' U' R' F R F'|OLL}}
{{Alg|R' U' R U l U' R' U (x)|OLL}}

||

=== OLL 45 ===
[[Image:o45.gif]]

{{Alg|F R U R' U' F'|OLL}}
{{Alg|f' U' L' U L f|OLL}}
{{Alg|y2 f U R U' R' f'|OLL}}
{{Alg|y2 F' L' U' L U F|OLL}}

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]
{{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}
{{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}

||

=== OLL 51 ===
[[Image:o51.gif]]

{{Alg|F U R U' R' U R U' R' F'|OLL}}
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}

=== OLL 52 ===
[[Image:o52.gif]]

{{Alg|R' U' R U' R' d R' U R B|OLL}}
{{Alg|R U R' U R d' R U' R' F'|OLL}}
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

{{Alg|(r' U2) (R U R' U r)|OLL}}
{{Alg|y2 l' U2 L U L' U l'|OLL}}

||

=== OLL 6 ===
[[Image:o6.gif]]

{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}
{{Alg|l U2 L' U' L U' l'|OLL}}
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|y2 f' L F L' U' L' U L S|OLL}}
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}

||

=== OLL 40 ===
[[Image:o40.gif]]

{{Alg|R' F R U R' U' F' U R|OLL}}
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}
{{Alg|y2 L' B L U L' U' B' U L|OLL}}

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|F' R' F R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

=== OLL 8 ===
[[Image:o8.gif]]

{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

||

=== OLL 11 ===
[[Image:o11.gif]]

{{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}
{{Alg|y F' L' U' L U F' Y F R U R' U' F'|OLL}}
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}

=== OLL 12 ===
[[Image:o12.gif]]

{{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}
{{Alg|y' R' U' R y r U' r' U r U r|OLL}}

=== OLL 10 ===
[[Image:o10.gif]]

{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}
||

=== OLL 35 ===
[[Image:o35.gif]]

{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}

=== OLL 37 ===
[[Image:o37.gif]]

{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|y F R U' R' U' R U R' F'|OLL}}
{{Alg|y R' F R F' U' F' U F|OLL}}
{{Alg|y F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

{{Alg|F U R U' R2 F' R U R U' R'|OLL}}
{{Alg|F U R U2 R' U' R U R' F'|OLL}}
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}

=== OLL 14 ===
[[Image:o14.gif]]

{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}
||

=== OLL 15 ===
[[Image:o15.gif]]

{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}
{{Alg|r' U' r R' U' R U r' U r|OLL}}

=== OLL 16 ===
[[Image:o16.gif]]

{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}
{{Alg|y2 r U M U R' U' r U' r'|OLL}}
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

{{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}
{{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}
{{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}
{{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}
{{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}

=== OLL 30 ===
[[Image:o30.gif]]

{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|l U' R' U l' U2 d L U L'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}
{{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}
||

=== OLL 41 ===
[[Image:o41.gif]]

{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}

=== OLL 42 ===
[[Image:o42.gif]]

{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

{{Alg|r U R' U' r' R U R U' R'|OLL}}
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}
{{Alg|y' r' U' R U M' U' R' U R|OLL}}
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}
{{Alg|M U M' U2 M U M'|OLL}}
{{Alg|y M U' M' U2 M U' M'|OLL}}
{{Alg|y2 M' U M U2 M' U M|OLL}}
{{Alg|y' M U M2 U M' U2 M U M |OLL}}
{{Alg|M U M U M' U' M U' M U M |OLL}}
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}
{{Alg|y M U' M U' M' U M U M U' M |OLL}}
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}
{{Alg|y' M U M' U M U M' U M U M' |OLL}}
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}
{{Alg|R' F R S R' F' R S' |OLL}}
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}
{{Alg|y L F' L' S' L F L'S |OLL}}

||

=== OLL 57 ===
[[Image:o57.gif]]

{{Alg|R U R' U' r R' U R U' r'|OLL}}
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}
{{Alg|R' U' R U M U' R' U r|OLL}}
{{Alg|M U M U M U2 M' U M' U M' |OLL}}
{{Alg|M U M U M U2 M' U M' U M' |OLL}}
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}

|}

== See Also ==
* [[OLL (2x2x2)]]
* [[2-Look OLL]]
* [[PLL]]

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

List of cubing websites

2009-12-19T03:58:26Z

Edward:

* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.
* [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.
* [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.
* [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.
* [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.
* [http://grrroux.free.fr/ garrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.
* [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.
* [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.
* [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.
* [http://badmephisto.dyndns.org/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)
* [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.
* [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.
* [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.
* [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.
* [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&sl=ja&tl=en&u=http%3A%2F%2Fwww.cutex.info English Translation]
*[http://cubersuncensored.proboards.com/index.cgi CubersUncensored.com] A relatively new forum. Mostly related to discussions not allowed on other speed-cubing sites
== See Also ==
* [[YouTube Cubers]]
* [[Rubik's Cube Celebrities]]

[[Category:Cubing Resources]]
[[Category:Cubing Community]]

List of YouTube cubers

2009-11-29T05:34:01Z

Edward:

{|border="0" width="100%" valign="top"
|- valign="top"
| width="50%" |
* [http://www.youtube.com/user/Nakaji1084 Nakaji1084] Yu Nakajima
* [http://www.youtube.com/user/Frk17 Frk17] Erik Akkersdijk
* [http://www.youtube.com/user/Einstakonan Einstakonan] Harris Chan
* [http://www.youtube.com/user/jammyman3014 jammyman3014] Brendan Vallance
* [http://www.youtube.com/user/badmephisto badmephisto] Tutorials covering many aspects of cubing including beginner, Fridrich, blindfolded, etc.
* [http://www.youtube.com/user/MeMyselfAndPi MeMyselfAndPi] Tutorials on cubing hardware.
* [http://www.youtube.com/user/ToxIkWaste ToxIkWaste] Tutorials covering cube hardware/lubrication.
* [http://www.youtube.com/user/masterNZ masterNZ] Dene's Channel
* [http://www.youtube.com/user/Masterofthebass Masterofthebass] Dan Cohen
* [http://www.youtube.com/user/Sa967St Sa967St] Sarah Strong
* [http://www.youtube.com/user/Speedcuber Speedcuber] Sinpei Araki, Suraimu
* [http://www.youtube.com/user/momonga576r momonga576r] Ryosuke Mondo
* [http://www.youtube.com/user/Thrawst Thrawst] Tristan Wright
* [http://www.youtube.com/user/EricLimeback EricLimeback] Eric Limeback
* [http://www.youtube.com/user/LanceTheBlueKnight LanceTheBlueKnight] Lance Taylor
* [http://www.youtube.com/user/Desie37 Desie37]
* [http://www.youtube.com/user/137456 137456]
* [http://www.youtube.com/user/ssrc ssrc]
* [http://www.youtube.com/user/CubingWeekly CubingWeekly] The Youtube channel of the only cubing podcast.
|

* [http://www.youtube.com/user/elimescube elimescube] Emile Compion
* [http://www.youtube.com/user/fallofshadows fallofshadows] Zac Livesay
* [http://www.youtube.com/user/Drewseph0011 Drewseph0011] Amdrew Cormier
* [http://www.youtube.com/user/symplesyn symplesyn] Noah Hevey
* [http://www.youtube.com/user/KaiXevandStanley KaiXevandStanley] Tony Fisher
* [http://www.youtube.com/user/monkeydude1313 monkeydude1313]
* [http://www.youtube.com/user/Luigistl Luigistl] Austin Moore
* [http://www.youtube.com/user/fazrulz1 fazrulz] Feliks Zemdegs
* [http://www.youtube.com/user/sajgoncube sajgoncube]
* [http://www.youtube.com/user/kazuto0102 kazuto0102]
* [http://www.youtube.com/user/sushibuffet sushibuffet] Rhodri Mativo
* [http://www.youtube.com/user/jnoort jnoort] Joël van Noort
* [http://www.youtube.com/user/CUTEXcuber CUTEXcuber]
* [http://www.youtube.com/user/pogobat pogobat] Dan Brown
* [http://www.youtube.com/user/aznblur aznblur]
* [http://www.youtube.com/user/jmnguyen95 jmnguyen95]
* [http://www.youtube.com/user/Pestvic Pestvic]
* [http://www.youtube.com/user/RobH0629 RobH0629] Rob Homayoon
* [http://www.youtube.com/user/syuhei222 syuhei222]
* [http://www.youtube.com/user/wariza3900 wariza3900]
* [http://www.youtube.com/user/cubes4lyfe cubes4lyfe] Waffle's Channel
* [http://www.youtube.com/user/Arnaudvg Arnaudvg] Arnaud van Galen
|}

----
@more info @ [http://www.speedsolving.com/forum/showthread.php?t=12476 speedsolving.com]

== See Also ==
* [[Cubing Sites]]
* [[Rubik's Cube Celebrities]]

[[Category:Cubing Community]]
[[Category:Cubing Resources]]

PLL

2009-11-11T19:29:28Z

Edward: /* G Permutation : d */

__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
* U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R (This one seems long, but it's just a combination of A(a) and U(a))

===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' U R U' R' F' U' F R U R' U' R' d R U R'

===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 l U' l' U' R' U l U l' U2 R U2' R'

===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

2009-11-11T19:26:47Z

Edward: /* G Permutation : d */

__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
* U' x R' U R' D2 R U R' D2 x' U R' U' R U R U R U' R (This one seems long, but it's just a combination of A(a) and U(a))

===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' U R U' R' F' U' F R U R' U' R' d R U R'

===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 l U' l' U' R' U l U l' U2 R U2' R'

===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

2009-11-11T19:25:13Z

Edward: /* G Permutation : d */

__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
* U' x R' U R' D2 R U R' D2 x' U R' U' R U R U R U' R (This one seems long, but it's just a combination of A(a) and U(a)

===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' U R U' R' F' U' F R U R' U' R' d R U R'

===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 l U' l' U' R' U l U l' U2 R U2' R'

===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]]