Speedsolving.com Wiki - User contributions [en]

List of YouTube cubers

2016-01-11T15:28:52Z

Aussie:

This page is a list of [[cuber]]s and their Youtube page.

{|border="0" width="100%" valign="top"
|- valign="top"
| width="50%" |
* [http://www.youtube.com/kalashagun KalaShagun] Shagun Kala
* [http://www.youtube.com/user/tomshakil Tomshakil] Shakil Ahmad
* [http://www.youtube.com/user/Bhargav7771 Bhargav7771] Bhargav Narasimhan
* [http://www.youtube.com/user/mayurak47 mayurak47] Mayur Arvind
* [http://www.youtube.com/user/monkeydude1313 monkeydude1313] Chris Bird - Tutorials for beginners to learn the Fridrich method as well as tutorials for other obscure puzzles.
* [http://www.youtube.com/user/Sheldonspeedcuber Sheldonspeedcuber] Pierre Bouvier
* [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 and [http://www.youtube.com/CUBESnote CUBESnote]
* [https://www.youtube.com/channel/UCiz48FdV9I_tmZ0TJF33y2A Abunickabhi ] Abhijeet Ghodgaonkar
* [http://www.youtube.com/user/jammyman3014 jammyman3014] Brendan Vallance
* [http://www.youtube.com/user/rowehess rowehess] Rowe Hessler
* [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] Billy Hansen. Tutorials on cubing hardware.
* [http://www.youtube.com/user/ToxIkWaste ToxIkWaste] Tutorials covering cube hardware/lubrication.
* [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, first to post How to Solve a Rubik's Cube videos
* [http://www.youtube.com/user/EricLimeback EricLimeback] Eric Limeback
* [http://www.youtube.com/user/LanceTheBlueKnight LanceTheBlueKnight] Lance Taylor
* [http://www.youtube.com/user/QubedCuber 6x6er] Aussie Greene
* [http://www.youtube.com/user/Desie37 Desie37] Deseree Aune
* [http://www.youtube.com/user/137456 137456]Kris De Asis/Meep
* [http://www.youtube.com/user/esquimalt1 esquimalt1]Ibrahim Vajgel-Shedid
* [http://www.youtube.com/user/ssrc ssrc]
* [http://www.youtube.com/user/theWestonian theWestonian] Weston Mizumoto
* [http://www.youtube.com/user/BluePi1313 BluePi1313] Shuqing Ma
* [http://www.youtube.com/user/tutorialswindowsxp TutorialsWindowsXp] Javier Gonzalez-Napoleoni
* [http://www.youtube.com/user/Speedcuber023 Speedcuber023] Anthony Brooks (Anthony Searle)
* [http://www.youtube.com/user/elimescube elimescube] Emile Compion
* [http://www.youtube.com/user/fallofshadows fallofshadows] Zac Livesay
* [http://www.youtube.com/user/ThomasJECubing ThomasJE]
|
* [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/Luigistl Luigistl] Austin Moore, one of the fastest Roux users.
* [http://www.youtube.com/user/aboz049 aboz049] Jorge Sanchez, Mexican Champion at 3x3
* [http://www.youtube.com/user/fazrulz1 fazrulz] Feliks Zemdegs, WR average holder at 7.64, and WR single holder at 5.66.
* [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/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/cubes4lyfe cubes4lyfe] Waffle's Channel, Roux Tutorials and Videos
* [http://www.youtube.com/user/5bld 5BLD] Alex Lau, one of the fastest Roux users.
* [http://www.youtube.com/user/Arnaudvg Arnaudvg] Arnaud van Galen
* [http://www.youtube.com/user/jaysammey777 jaysammey777]
* [http://www.youtube.com/user/lordskull14 Sagar Laud]
* [http://www.youtube.com/user/tyjet66 tyjet66] David Phelps
* [http://www.youtube.com/user/snkenjoi snkenjoi] Kirjava
* [http://www.youtube.com/user/ErniePulchny ErniePulchny] Ernie Pulchny, Master Magic WR holder
* [http://www.youtube.com/user/MrCube68 MrCube68] Miroslav Delinac
* [http://www.youtube.com/user/izovire izovire] Izovire
* [http://www.youtube.com/user/inuasha880 inuasha880] Kurt Price
* [http://www.youtube.com/user/GeorgeAndErrE Georgeanderre] Georgeanderre
* [http://www.youtube.com/user/SickXTB SickXTB] SickXTB, a collab channel started by Tall5001, Bobo11420, AvidCuber, and xxoxia.
* [http://www.youtube.com/user/pentacubers pentacubers] Pentacubers, a collab channel started by cyoubx, collinbxyz, coolfrog23, theianography, and CubeDepot.
* [http://www.youtube.com/user/TheTeenCuber TheTeenCuber]
* [http://www.youtube.com/user/RealBestInTheWorld BEST IN THE WORLD] Piyush Passi, Cube Reviews
* [http://www.youtube.com/user/therubikscard101 INSANEcuber] - 2x2 Average World Record Holder
|}

There are more YouTube channels listed in [http://www.speedsolving.com/forum/showthread.php?t=12476 this thread].

[[Category:Resources]]
[[Category:Community]]
[[Category:Lists|YouTube cubers]]
[[Category:Lists of cubers]]

OLL

2015-07-02T05:59:49Z

Aussie: Undo revision 26498 by Aussie (talk)

{{Substep Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[F2L cube state]]
|next=[[OLL cube state]]
|previousimage=[[Image:F2L_higlight.jpg|120px|left|link=F2L cube state]]
|nextimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]

}}
'''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].

== Terminology ==
'''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].

== See also ==
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=OLL OLL Algorithm Database]
* [[OLL (2x2x2)]]
* [[2-Look OLL]]
* [[PLL]]

== External links ==

* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)
 {{OLL}}
* [https://www.youtube.com/watch?v=yB9zI1UkODc Video series on most commonly used OLLs on youtube] by CUBE PORTAL

=OLL Algorithms=
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.

{{Algnote}}

==All edges flipped correctly==
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].

{{OCLL}}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 1 ===
{{case
|image=o1.gif
|name=Runway, Blank
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}
{{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}
{{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}
{{Alg|(y) R U' R2 D' r U' r' D R2 U R'|OLL}}

=== OLL 2 ===
{{case
|image=o2.gif
|name=zamboni
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}
{{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}}
{{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}

|-valign="top"
|

=== OLL 3 ===
{{case
|image=o3.gif
|name=Anti-Nazi, Anti-Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}
{{Alg|(y2) M U l' U2 l U L' U L M'|OLL}}
{{Alg|(y2) r' R2 U R' U r U2 r' U M'|OLL}}
{{Alg|(M'U) (r'U2 r U) (R' U R2 r')|OLL}}
|

=== OLL 4 ===
{{case
|image=o4.gif
|name= Nazi, Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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}}

|-valign="top"
|

=== OLL 17 ===
{{case
|image=o17.gif
|name= slash, diagonal
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}
{{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}
{{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}
{{Alg|(y2) (F R' F' R2 r' U) (R U' R' U' M')|OLL}}

=== OLL 18 ===
{{case
|image=o18.gif
|name= Crown
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y') r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|(y) 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}}
{{Alg|(y2) (R' F R F') U2 (R' F R F') (U F' U F) |OLL}}
{{Alg|(y) (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}
{{Alg|(y) x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}
{{Alg|(y2) (F R U' R' U' R U R' F') U' (F R U R' U' F') |OLL}}
{{Alg|(y') (M' U M U2 M' U M) U (f R U R' U' f') |OLL}}

=== OLL 19 ===
{{case
|image=o19.gif
|name= Bunny
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' R' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}
{{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|(y2) M' U' R' U' R U r' R2 B' R' B|OLL}}
{{Alg|(y2) M' U L U L' U' l L2 B L B'|OLL}}
|}

=="P" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 31 ===
{{case
|image=o31.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' U' F U R U' R' F' R|OLL}}
{{Alg|(y) (F R' F' R) (U R U R') (U' R U' R')|OLL}}
{{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|L' U' B U L U' L' B' L|OLL}}
{{Alg|(y') (S R U R' U' Fw' U' F)|OLL}}
{{Alg|(y) M' U' L' U' L F U F' L' U l|OLL}}
{{Alg|(y2) (L' U' L U) (R U R' U') M' U' L' U2 R U' (x')|OLL}}
|

=== OLL 32 ===
{{case
|image=o32.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}

{{Alg|R U B' U' R' U R B R'|OLL}}
{{Alg|(y2) x' R U R' D R U' R U' R' U R' D' x|OLL}}
{{Alg|(y2) F U R U' F' r U R' U' r'|OLL}}
{{Alg|R U x' U' F' R' F R U R'|OLL}}
{{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 U2 R' U' F' U F R U' R'|OLL}}
{{Alg|l F U' F' R' F R U l'|OLL}}
{{Alg|(y) M' U R U R' F' U' F R U' r'|OLL}}
{{Alg|(y2) L U F' U' L' U L F L'|OLL}}
{{Alg|(y2) (R U R' U') (L' U' L U) M' U R U2 L' U x'|OLL}}
|-valign="top"
|

=== OLL 43 ===
{{case
|image=o43.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|(y) R' U' F' U F R|OLL}}
{{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|(y2) U R U R' F' L' U' L F|OLL}}
{{Alg|(y2) R' U' F R' F' R U R|OLL}}
{{Alg|(y') R U l' U' r' U' r U x'|OLL}}

|

=== OLL 44 ===
{{case
|image=o44.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 36 ===
{{case
|image=o36.gif
|name=Sea-Mew, Wario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}
{{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 ===
{{case
|image=o38.gif
|name=Mario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' U R U' R' U' R' F R F'|OLL}}
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}

|}

=="L" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 48 ===
{{case
|image=o48.gif
|name=Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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 47 ===
{{case
|image=o47.gif
|name=Anti-Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|(y') r U R' U R U2 r' R' U2 R U R' U R|OLL}}
{{Alg|R' U' x (R' U R U')2 x' U R|OLL}}

|-valign="top"
|

=== OLL 53 ===
{{case
|image=o53.gif
|name=Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}

|

=== OLL 54 ===
{{case
|image=o54.gif
|name=Anti-Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}

|-valign="top"
|

=== OLL 49 ===
{{case
|image=o49.gif
|name= right back squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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}}

|

=== OLL 50 ===
{{case
|image=o50.gif
|name= right front squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}
{{Alg|(y2) (r U R U' r') (F R' U R U' R' F')|OLL}}
{{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|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') F' R U2 R' U2 R' F2 R F'|OLL}}
{{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}
{{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}
|}

=="C" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 34 ===
{{case
|image=o34.gif
|name= City (C and T)
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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' l' U R d' D|OLL}}
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}
{{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}}
{{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}

|

=== OLL 46 ===
{{case
|image=o46.gif
|name= Seein' Headlights(C and headlights)
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{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}}

|}

=="T" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces, Key
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|(R U R' U') (R' F R F')|OLL}}
{{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}
{{Alg|R' U' R U l U' R' U x|OLL}}
{{Alg|R U R' F' U' F R U' R'|OLL}}
|

=== OLL 45 ===
{{case
|image=o45.gif
|name= Suit up, T
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 55 ===
{{case
|image=o55.gif
|name= Highway
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}
{{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) F U' R2 D R' U2 R D' R2' U 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}}
{{Alg|(y) r U2 R' U' R2 r' U R' U' r U' r'|OLL}}
{{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}
{{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}
{{Alg|(y) r U2 R' U' M R U R' U' r U' 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 ===
{{case
|image=o56.gif
|name= Streetlights, Dead Man
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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 U r' U R U' R' M' U R U2 r'|OLL}}
{{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}
{{Alg|l U l' (U L U' L')2 l U' l|OLL}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name=Bottlecap, Ant
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y') R' U2 R U R' F R' F' R U R |OLL}}

|

=== OLL 52 ===
{{case
|image=o52.gif
|name= rice cooker
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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|R' U' R U' R' U F' U F R|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}}
{{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}
{{Alg|(y') F R U R' U F' U' F U' F'|OLL}}

|}

==Square shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS), Lefty Square
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|(y2) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}
{{Alg|(y2) l' U2 L U L' U l|OLL}}
{{Alg|(y) x' U' l2 U l F' l U|OLL}}
|

=== OLL 6 ===
{{case
|image=o6.gif
|name= right front wide antisune(RFWAS), Righty Square
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 39 ===
{{case
|image=o39.gif
|name=Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|(y2) l U' l' U' R U B U' R'|OLL}}
{{Alg|(y2) f' L F L' U' L' U L S|OLL}}
{{Alg|(y2) R U R' F' U' F U R U2 R'|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}}
{{Alg|(y2) F R U R' U' R U R' U' R U' R' U' R U R' F'|OLL}}

|

=== OLL 40 ===
{{case
|image=o40.gif
|name=Anti-Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 7 ===
{{case
|image=o7.gif
|name=wide sune, lightning
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|(y) B L F' L F L2 B'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
{{case
|image=o8.gif
|name= left wide sune(LWS) or right back wide sune(RBWS), reverse lightning
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|(y2) r' U' R U' R' U2 r|OLL}}
{{Alg|(y') B' R' F R' F' R2 B|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
{{case
|image=o11.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R2 U R' U R U2 R' U M'|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|(y) R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}

|

=== OLL 12 ===
{{case
|image=o12.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F R U R' U' F' U 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}}
{{Alg|(y') M' R' U' R U' R' U2 R U' M|OLL}}

|}

==Fish shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 9 ===
{{case
|image=o9.gif
|name=Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{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) L' U' L y l U' l' U l U l'|OLL}}
{{Alg|R' U' R U' R' U R' F R F' U R|OLL}}
{{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}

|

=== OLL 10 ===
{{case
|image=o10.gif
|name=Anti-Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(R' M' U2) (R U R' U) (R U R r')|OLL}}

|-valign="top"
|

=== OLL 35 ===
{{case
|image=o35.gif
|name= fish salad
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|R U B' R B R2 U R U2 R'|OLL}}
{{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}
{{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}
{{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
{{case
|image=o37.gif
|name=mounted fish/ untying showlaces
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{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) R' F R F' y' U' R' U R|OLL}}
{{Alg|(y) F R' F' R U R U' R'|OLL}}
{{Alg|(y) M' U R U' r' d' L' U L|OLL}}
{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}
{{Alg|R U R' F' U F R U' R'|OLL}}
{{Alg|(y') r2 D' r U' r' D r U r|OLL}}
|}

==Knight move shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 13 ===
{{case
|image=o13.gif
|name=Gun, Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}
|

=== OLL 14 ===
{{case
|image=o14.gif
|name=Anti-Gun, Anti-Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|l' U l U l' U' l 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' L' U L F L' U' L x y' L U' L'|OLL}}
{{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}
{{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}

|-valign="top"
|

=== OLL 15 ===
{{case
|image=o15.gif
|name=Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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 ===
{{case
|image=o16.gif
|name=Anti-Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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|l U l' L U L' U' l U' l'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 29 ===
{{case
|image=o29.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|r2 D' r U r' D r2 U' r' U' 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|(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|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}
{{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}
{{Alg|(y') (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}
|

=== OLL 30 ===
{{case
|image=o30.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|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|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|R B' R' B R' U2 R U y R U R'|OLL}}
{{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}
{{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}
{{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}
{{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}
{{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}
{{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}
{{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}
{{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}

|-valign="top"
|

=== OLL 41 ===
{{case
|image=o41.gif
|name= Awkward Fish
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y') (L F' L' F)2 L U' L' U L U' L|OLL}}
{{Alg|(y2) M' R' F' U' F U R U' M|OLL}}
{{Alg|R' M2 U' F' U F r U' M'|OLL}}
{{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}
|

=== OLL 42 ===
{{case
|image=o42.gif
|name= Lefty Awkward Fish
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y2) M' U f U R U' R' f' M|OLL}}
{{Alg| (M R) (f R f') (U' R' U M')|OLL}}
{{Alg|(M U) (F R U R' U' F') M'|OLL}}
{{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}
|}

==All Corners Oriented==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 28 ===
{{case
|image=o28.gif
|name=Stealth, Arrow, Arrowhead, Fish
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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|U2 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}}
{{Alg|(y') M U R U R' U' M' U R U' R' |OLL}}
|

=== OLL 57 ===
{{case
|image=o57.gif
|name=Mummy, H, I, Brick
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}
{{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}
{{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' U M' U2 M' U 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}}

|}

=== OLL 20 ===
{{case
|image=o20.gif
|name=X, Checkers
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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|x U R' U' M2 U R U' M' x' 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 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|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|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U)4 (M' U)4|OLL}}
{{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}
{{Alg|(M' U)4 y2 (M' U) 4|OLL}}

 {{OLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

OLL

2015-07-02T05:56:08Z

Aussie: /* OLL 32 */ Added new algorithm. Slow but easy to remember.

{{Substep Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[F2L cube state]]
|next=[[OLL cube state]]
|previousimage=[[Image:F2L_higlight.jpg|120px|left|link=F2L cube state]]
|nextimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]

}}
'''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].

== Terminology ==
'''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].

== See also ==
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=OLL OLL Algorithm Database]
* [[OLL (2x2x2)]]
* [[2-Look OLL]]
* [[PLL]]

== External links ==

* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)
 {{OLL}}
* [https://www.youtube.com/watch?v=yB9zI1UkODc Video series on most commonly used OLLs on youtube] by CUBE PORTAL

=OLL Algorithms=
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.

{{Algnote}}

==All edges flipped correctly==
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].

{{OCLL}}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 1 ===
{{case
|image=o1.gif
|name=Runway, Blank
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}
{{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}
{{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}
{{Alg|(y) R U' R2 D' r U' r' D R2 U R'|OLL}}

=== OLL 2 ===
{{case
|image=o2.gif
|name=zamboni
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}
{{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}}
{{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}

|-valign="top"
|

=== OLL 3 ===
{{case
|image=o3.gif
|name=Anti-Nazi, Anti-Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}
{{Alg|(y2) M U l' U2 l U L' U L M'|OLL}}
{{Alg|(y2) r' R2 U R' U r U2 r' U M'|OLL}}
{{Alg|(M'U) (r'U2 r U) (R' U R2 r')|OLL}}
|

=== OLL 4 ===
{{case
|image=o4.gif
|name= Nazi, Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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}}

|-valign="top"
|

=== OLL 17 ===
{{case
|image=o17.gif
|name= slash, diagonal
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}
{{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}
{{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}
{{Alg|(y2) (F R' F' R2 r' U) (R U' R' U' M')|OLL}}

=== OLL 18 ===
{{case
|image=o18.gif
|name= Crown
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y') r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|(y) 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}}
{{Alg|(y2) (R' F R F') U2 (R' F R F') (U F' U F) |OLL}}
{{Alg|(y) (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}
{{Alg|(y) x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}
{{Alg|(y2) (F R U' R' U' R U R' F') U' (F R U R' U' F') |OLL}}
{{Alg|(y') (M' U M U2 M' U M) U (f R U R' U' f') |OLL}}

=== OLL 19 ===
{{case
|image=o19.gif
|name= Bunny
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' R' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}
{{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|(y2) M' U' R' U' R U r' R2 B' R' B|OLL}}
{{Alg|(y2) M' U L U L' U' l L2 B L B'|OLL}}
|}

=="P" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 31 ===
{{case
|image=o31.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' U' F U R U' R' F' R|OLL}}
{{Alg|(y) (F R' F' R) (U R U R') (U' R U' R')|OLL}}
{{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|L' U' B U L U' L' B' L|OLL}}
{{Alg|(y') (S R U R' U' Fw' U' F)|OLL}}
{{Alg|(y) M' U' L' U' L F U F' L' U l|OLL}}
{{Alg|(y2) (L' U' L U) (R U R' U') M' U' L' U2 R U' (x')|OLL}}
|

=== OLL 32 ===
{{case
|image=o32.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}

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

=== OLL 43 ===
{{case
|image=o43.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|(y) R' U' F' U F R|OLL}}
{{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|(y2) U R U R' F' L' U' L F|OLL}}
{{Alg|(y2) R' U' F R' F' R U R|OLL}}
{{Alg|(y') R U l' U' r' U' r U x'|OLL}}

|

=== OLL 44 ===
{{case
|image=o44.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 36 ===
{{case
|image=o36.gif
|name=Sea-Mew, Wario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}
{{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 ===
{{case
|image=o38.gif
|name=Mario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' U R U' R' U' R' F R F'|OLL}}
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}

|}

=="L" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 48 ===
{{case
|image=o48.gif
|name=Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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 47 ===
{{case
|image=o47.gif
|name=Anti-Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|(y') r U R' U R U2 r' R' U2 R U R' U R|OLL}}
{{Alg|R' U' x (R' U R U')2 x' U R|OLL}}

|-valign="top"
|

=== OLL 53 ===
{{case
|image=o53.gif
|name=Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}

|

=== OLL 54 ===
{{case
|image=o54.gif
|name=Anti-Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}

|-valign="top"
|

=== OLL 49 ===
{{case
|image=o49.gif
|name= right back squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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}}

|

=== OLL 50 ===
{{case
|image=o50.gif
|name= right front squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}
{{Alg|(y2) (r U R U' r') (F R' U R U' R' F')|OLL}}
{{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|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') F' R U2 R' U2 R' F2 R F'|OLL}}
{{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}
{{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}
|}

=="C" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 34 ===
{{case
|image=o34.gif
|name= City (C and T)
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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' l' U R d' D|OLL}}
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}
{{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}}
{{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}

|

=== OLL 46 ===
{{case
|image=o46.gif
|name= Seein' Headlights(C and headlights)
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{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}}

|}

=="T" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces, Key
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|(R U R' U') (R' F R F')|OLL}}
{{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}
{{Alg|R' U' R U l U' R' U x|OLL}}
{{Alg|R U R' F' U' F R U' R'|OLL}}
|

=== OLL 45 ===
{{case
|image=o45.gif
|name= Suit up, T
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 55 ===
{{case
|image=o55.gif
|name= Highway
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}
{{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) F U' R2 D R' U2 R D' R2' U 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}}
{{Alg|(y) r U2 R' U' R2 r' U R' U' r U' r'|OLL}}
{{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}
{{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}
{{Alg|(y) r U2 R' U' M R U R' U' r U' 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 ===
{{case
|image=o56.gif
|name= Streetlights, Dead Man
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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 U r' U R U' R' M' U R U2 r'|OLL}}
{{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}
{{Alg|l U l' (U L U' L')2 l U' l|OLL}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name=Bottlecap, Ant
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y') R' U2 R U R' F R' F' R U R |OLL}}

|

=== OLL 52 ===
{{case
|image=o52.gif
|name= rice cooker
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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|R' U' R U' R' U F' U F R|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}}
{{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}
{{Alg|(y') F R U R' U F' U' F U' F'|OLL}}

|}

==Square shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS), Lefty Square
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|(y2) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}
{{Alg|(y2) l' U2 L U L' U l|OLL}}
{{Alg|(y) x' U' l2 U l F' l U|OLL}}
|

=== OLL 6 ===
{{case
|image=o6.gif
|name= right front wide antisune(RFWAS), Righty Square
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 39 ===
{{case
|image=o39.gif
|name=Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|(y2) l U' l' U' R U B U' R'|OLL}}
{{Alg|(y2) f' L F L' U' L' U L S|OLL}}
{{Alg|(y2) R U R' F' U' F U R U2 R'|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}}
{{Alg|(y2) F R U R' U' R U R' U' R U' R' U' R U R' F'|OLL}}

|

=== OLL 40 ===
{{case
|image=o40.gif
|name=Anti-Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 7 ===
{{case
|image=o7.gif
|name=wide sune, lightning
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|(y) B L F' L F L2 B'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
{{case
|image=o8.gif
|name= left wide sune(LWS) or right back wide sune(RBWS), reverse lightning
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|(y2) r' U' R U' R' U2 r|OLL}}
{{Alg|(y') B' R' F R' F' R2 B|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
{{case
|image=o11.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R2 U R' U R U2 R' U M'|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|(y) R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}

|

=== OLL 12 ===
{{case
|image=o12.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F R U R' U' F' U 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}}
{{Alg|(y') M' R' U' R U' R' U2 R U' M|OLL}}

|}

==Fish shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 9 ===
{{case
|image=o9.gif
|name=Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{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) L' U' L y l U' l' U l U l'|OLL}}
{{Alg|R' U' R U' R' U R' F R F' U R|OLL}}
{{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}

|

=== OLL 10 ===
{{case
|image=o10.gif
|name=Anti-Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(R' M' U2) (R U R' U) (R U R r')|OLL}}

|-valign="top"
|

=== OLL 35 ===
{{case
|image=o35.gif
|name= fish salad
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|R U B' R B R2 U R U2 R'|OLL}}
{{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}
{{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}
{{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
{{case
|image=o37.gif
|name=mounted fish/ untying showlaces
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{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) R' F R F' y' U' R' U R|OLL}}
{{Alg|(y) F R' F' R U R U' R'|OLL}}
{{Alg|(y) M' U R U' r' d' L' U L|OLL}}
{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}
{{Alg|R U R' F' U F R U' R'|OLL}}
{{Alg|(y') r2 D' r U' r' D r U r|OLL}}
|}

==Knight move shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 13 ===
{{case
|image=o13.gif
|name=Gun, Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}
|

=== OLL 14 ===
{{case
|image=o14.gif
|name=Anti-Gun, Anti-Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|l' U l U l' U' l 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' L' U L F L' U' L x y' L U' L'|OLL}}
{{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}
{{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}

|-valign="top"
|

=== OLL 15 ===
{{case
|image=o15.gif
|name=Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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 ===
{{case
|image=o16.gif
|name=Anti-Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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|l U l' L U L' U' l U' l'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 29 ===
{{case
|image=o29.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|r2 D' r U r' D r2 U' r' U' 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|(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|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}
{{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}
{{Alg|(y') (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}
|

=== OLL 30 ===
{{case
|image=o30.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|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|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|R B' R' B R' U2 R U y R U R'|OLL}}
{{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}
{{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}
{{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}
{{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}
{{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}
{{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}
{{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}
{{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}

|-valign="top"
|

=== OLL 41 ===
{{case
|image=o41.gif
|name= Awkward Fish
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y') (L F' L' F)2 L U' L' U L U' L|OLL}}
{{Alg|(y2) M' R' F' U' F U R U' M|OLL}}
{{Alg|R' M2 U' F' U F r U' M'|OLL}}
{{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}
|

=== OLL 42 ===
{{case
|image=o42.gif
|name= Lefty Awkward Fish
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y2) M' U f U R U' R' f' M|OLL}}
{{Alg| (M R) (f R f') (U' R' U M')|OLL}}
{{Alg|(M U) (F R U R' U' F') M'|OLL}}
{{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}
|}

==All Corners Oriented==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 28 ===
{{case
|image=o28.gif
|name=Stealth, Arrow, Arrowhead, Fish
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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|U2 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}}
{{Alg|(y') M U R U R' U' M' U R U' R' |OLL}}
|

=== OLL 57 ===
{{case
|image=o57.gif
|name=Mummy, H, I, Brick
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}
{{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}
{{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' U M' U2 M' U 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}}

|}

=== OLL 20 ===
{{case
|image=o20.gif
|name=X, Checkers
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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|x U R' U' M2 U R U' M' x' 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 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|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|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U)4 (M' U)4|OLL}}
{{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}
{{Alg|(M' U)4 y2 (M' U) 4|OLL}}

 {{OLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

OLL

2015-07-02T05:50:56Z

Aussie: /* OLL 31 */ Added new algorithm. Slow but easy to remember.

{{Substep Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[F2L cube state]]
|next=[[OLL cube state]]
|previousimage=[[Image:F2L_higlight.jpg|120px|left|link=F2L cube state]]
|nextimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]

}}
'''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].

== Terminology ==
'''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].

== See also ==
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=OLL OLL Algorithm Database]
* [[OLL (2x2x2)]]
* [[2-Look OLL]]
* [[PLL]]

== External links ==

* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)
 {{OLL}}
* [https://www.youtube.com/watch?v=yB9zI1UkODc Video series on most commonly used OLLs on youtube] by CUBE PORTAL

=OLL Algorithms=
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.

{{Algnote}}

==All edges flipped correctly==
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].

{{OCLL}}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 1 ===
{{case
|image=o1.gif
|name=Runway, Blank
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}
{{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}
{{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}
{{Alg|(y) R U' R2 D' r U' r' D R2 U R'|OLL}}

=== OLL 2 ===
{{case
|image=o2.gif
|name=zamboni
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}
{{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}}
{{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}

|-valign="top"
|

=== OLL 3 ===
{{case
|image=o3.gif
|name=Anti-Nazi, Anti-Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}
{{Alg|(y2) M U l' U2 l U L' U L M'|OLL}}
{{Alg|(y2) r' R2 U R' U r U2 r' U M'|OLL}}
{{Alg|(M'U) (r'U2 r U) (R' U R2 r')|OLL}}
|

=== OLL 4 ===
{{case
|image=o4.gif
|name= Nazi, Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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}}

|-valign="top"
|

=== OLL 17 ===
{{case
|image=o17.gif
|name= slash, diagonal
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}
{{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}
{{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}
{{Alg|(y2) (F R' F' R2 r' U) (R U' R' U' M')|OLL}}

=== OLL 18 ===
{{case
|image=o18.gif
|name= Crown
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y') r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|(y) 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}}
{{Alg|(y2) (R' F R F') U2 (R' F R F') (U F' U F) |OLL}}
{{Alg|(y) (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}
{{Alg|(y) x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}
{{Alg|(y2) (F R U' R' U' R U R' F') U' (F R U R' U' F') |OLL}}
{{Alg|(y') (M' U M U2 M' U M) U (f R U R' U' f') |OLL}}

=== OLL 19 ===
{{case
|image=o19.gif
|name= Bunny
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' R' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}
{{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|(y2) M' U' R' U' R U r' R2 B' R' B|OLL}}
{{Alg|(y2) M' U L U L' U' l L2 B L B'|OLL}}
|}

=="P" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 31 ===
{{case
|image=o31.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' U' F U R U' R' F' R|OLL}}
{{Alg|(y) (F R' F' R) (U R U R') (U' R U' R')|OLL}}
{{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|L' U' B U L U' L' B' L|OLL}}
{{Alg|(y') (S R U R' U' Fw' U' F)|OLL}}
{{Alg|(y) M' U' L' U' L F U F' L' U l|OLL}}
{{Alg|(y2) (L' U' L U) (R U R' U') M' U' L' U2 R U' (x')|OLL}}
|

=== OLL 32 ===
{{case
|image=o32.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}

{{Alg|R U B' U' R' U R B R'|OLL}}
{{Alg|(y2) x' R U R' D R U' R U' R' U R' D' x|OLL}}
{{Alg|(y2) F U R U' F' r U R' U' r'|OLL}}
{{Alg|R U x' U' F' R' F R U R'|OLL}}
{{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 U2 R' U' F' U F R U' R'|OLL}}
{{Alg|l F U' F' R' F R U l'|OLL}}
{{Alg|(y) M' U R U R' F' U' F R U' r'|OLL}}
{{Alg|(y2) L U F' U' L' U L F L'|OLL}}
|-valign="top"
|

=== OLL 43 ===
{{case
|image=o43.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|(y) R' U' F' U F R|OLL}}
{{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|(y2) U R U R' F' L' U' L F|OLL}}
{{Alg|(y2) R' U' F R' F' R U R|OLL}}
{{Alg|(y') R U l' U' r' U' r U x'|OLL}}

|

=== OLL 44 ===
{{case
|image=o44.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 36 ===
{{case
|image=o36.gif
|name=Sea-Mew, Wario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}
{{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 ===
{{case
|image=o38.gif
|name=Mario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' U R U' R' U' R' F R F'|OLL}}
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}

|}

=="L" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 48 ===
{{case
|image=o48.gif
|name=Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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 47 ===
{{case
|image=o47.gif
|name=Anti-Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|(y') r U R' U R U2 r' R' U2 R U R' U R|OLL}}
{{Alg|R' U' x (R' U R U')2 x' U R|OLL}}

|-valign="top"
|

=== OLL 53 ===
{{case
|image=o53.gif
|name=Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}

|

=== OLL 54 ===
{{case
|image=o54.gif
|name=Anti-Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}

|-valign="top"
|

=== OLL 49 ===
{{case
|image=o49.gif
|name= right back squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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}}

|

=== OLL 50 ===
{{case
|image=o50.gif
|name= right front squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}
{{Alg|(y2) (r U R U' r') (F R' U R U' R' F')|OLL}}
{{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|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') F' R U2 R' U2 R' F2 R F'|OLL}}
{{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}
{{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}
|}

=="C" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 34 ===
{{case
|image=o34.gif
|name= City (C and T)
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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' l' U R d' D|OLL}}
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}
{{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}}
{{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}

|

=== OLL 46 ===
{{case
|image=o46.gif
|name= Seein' Headlights(C and headlights)
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{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}}

|}

=="T" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces, Key
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|(R U R' U') (R' F R F')|OLL}}
{{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}
{{Alg|R' U' R U l U' R' U x|OLL}}
{{Alg|R U R' F' U' F R U' R'|OLL}}
|

=== OLL 45 ===
{{case
|image=o45.gif
|name= Suit up, T
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 55 ===
{{case
|image=o55.gif
|name= Highway
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}
{{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) F U' R2 D R' U2 R D' R2' U 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}}
{{Alg|(y) r U2 R' U' R2 r' U R' U' r U' r'|OLL}}
{{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}
{{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}
{{Alg|(y) r U2 R' U' M R U R' U' r U' 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 ===
{{case
|image=o56.gif
|name= Streetlights, Dead Man
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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 U r' U R U' R' M' U R U2 r'|OLL}}
{{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}
{{Alg|l U l' (U L U' L')2 l U' l|OLL}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name=Bottlecap, Ant
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y') R' U2 R U R' F R' F' R U R |OLL}}

|

=== OLL 52 ===
{{case
|image=o52.gif
|name= rice cooker
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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|R' U' R U' R' U F' U F R|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}}
{{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}
{{Alg|(y') F R U R' U F' U' F U' F'|OLL}}

|}

==Square shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS), Lefty Square
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|(y2) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}
{{Alg|(y2) l' U2 L U L' U l|OLL}}
{{Alg|(y) x' U' l2 U l F' l U|OLL}}
|

=== OLL 6 ===
{{case
|image=o6.gif
|name= right front wide antisune(RFWAS), Righty Square
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 39 ===
{{case
|image=o39.gif
|name=Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|(y2) l U' l' U' R U B U' R'|OLL}}
{{Alg|(y2) f' L F L' U' L' U L S|OLL}}
{{Alg|(y2) R U R' F' U' F U R U2 R'|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}}
{{Alg|(y2) F R U R' U' R U R' U' R U' R' U' R U R' F'|OLL}}

|

=== OLL 40 ===
{{case
|image=o40.gif
|name=Anti-Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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" cellpadding="3"
|-valign="top"
|

=== OLL 7 ===
{{case
|image=o7.gif
|name=wide sune, lightning
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|(y) B L F' L F L2 B'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
{{case
|image=o8.gif
|name= left wide sune(LWS) or right back wide sune(RBWS), reverse lightning
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|(y2) r' U' R U' R' U2 r|OLL}}
{{Alg|(y') B' R' F R' F' R2 B|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
{{case
|image=o11.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R2 U R' U R U2 R' U M'|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|(y) R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}

|

=== OLL 12 ===
{{case
|image=o12.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F R U R' U' F' U 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}}
{{Alg|(y') M' R' U' R U' R' U2 R U' M|OLL}}

|}

==Fish shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 9 ===
{{case
|image=o9.gif
|name=Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{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) L' U' L y l U' l' U l U l'|OLL}}
{{Alg|R' U' R U' R' U R' F R F' U R|OLL}}
{{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}

|

=== OLL 10 ===
{{case
|image=o10.gif
|name=Anti-Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(R' M' U2) (R U R' U) (R U R r')|OLL}}

|-valign="top"
|

=== OLL 35 ===
{{case
|image=o35.gif
|name= fish salad
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|R U B' R B R2 U R U2 R'|OLL}}
{{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}
{{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}
{{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
{{case
|image=o37.gif
|name=mounted fish/ untying showlaces
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{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) R' F R F' y' U' R' U R|OLL}}
{{Alg|(y) F R' F' R U R U' R'|OLL}}
{{Alg|(y) M' U R U' r' d' L' U L|OLL}}
{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}
{{Alg|R U R' F' U F R U' R'|OLL}}
{{Alg|(y') r2 D' r U' r' D r U r|OLL}}
|}

==Knight move shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 13 ===
{{case
|image=o13.gif
|name=Gun, Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}
|

=== OLL 14 ===
{{case
|image=o14.gif
|name=Anti-Gun, Anti-Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|l' U l U l' U' l 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' L' U L F L' U' L x y' L U' L'|OLL}}
{{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}
{{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}

|-valign="top"
|

=== OLL 15 ===
{{case
|image=o15.gif
|name=Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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 ===
{{case
|image=o16.gif
|name=Anti-Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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|l U l' L U L' U' l U' l'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 29 ===
{{case
|image=o29.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|r2 D' r U r' D r2 U' r' U' 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|(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|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}
{{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}
{{Alg|(y') (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}
|

=== OLL 30 ===
{{case
|image=o30.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|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|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|R B' R' B R' U2 R U y R U R'|OLL}}
{{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}
{{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}
{{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}
{{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}
{{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}
{{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}
{{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}
{{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}

|-valign="top"
|

=== OLL 41 ===
{{case
|image=o41.gif
|name= Awkward Fish
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y') (L F' L' F)2 L U' L' U L U' L|OLL}}
{{Alg|(y2) M' R' F' U' F U R U' M|OLL}}
{{Alg|R' M2 U' F' U F r U' M'|OLL}}
{{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}
|

=== OLL 42 ===
{{case
|image=o42.gif
|name= Lefty Awkward Fish
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y2) M' U f U R U' R' f' M|OLL}}
{{Alg| (M R) (f R f') (U' R' U M')|OLL}}
{{Alg|(M U) (F R U R' U' F') M'|OLL}}
{{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}
|}

==All Corners Oriented==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 28 ===
{{case
|image=o28.gif
|name=Stealth, Arrow, Arrowhead, Fish
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{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|U2 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}}
{{Alg|(y') M U R U R' U' M' U R U' R' |OLL}}
|

=== OLL 57 ===
{{case
|image=o57.gif
|name=Mummy, H, I, Brick
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}
{{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}
{{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' U M' U2 M' U 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}}

|}

=== OLL 20 ===
{{case
|image=o20.gif
|name=X, Checkers
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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|x U R' U' M2 U R U' M' x' 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 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|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|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U)4 (M' U)4|OLL}}
{{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}
{{Alg|(M' U)4 y2 (M' U) 4|OLL}}

 {{OLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

Rowe Hessler

2015-04-24T07:53:39Z

Aussie:

{{Infobox
|NAME=Rowe Hessler
|IMAGE=RoweHessler.jpg
|IMAGEYEAR=2009
|ALIASES=rowehess
|COUNTRY=USA
|BIRTHDATE=February 27, 1991
|AGE=22
|JOBS=Student
|YEARSACTIVE=2007-2014
|ID=2007HESS01
|FAMOUSFOR=[[2x2]], [[3x3]], [[BLD]] WRs
}}

'''Rowe Hessler''' is an [[USA|American]] speedcuber from [[New York]] known for his achievements first in 3x3 [[BLD]] and [[multi-BLD]] in 2008, and more recently in 2x2 speedsolve, 3x3 speedsolve, and 3x3 [[OH]]. Since 2009, he has been considered among the fastest 3x3 speedsolvers in the world.

Rowe first made his name as a world-class 3x3 BLD solver, setting the North American multi-BLD records in 2007 and 2008 and the single world record of 52.27 seconds in 2008. Moving on to other events, he set the world record for 2x2 single and average. Since setting the North American 3x3 average record in 2009, he has been considered one of the fastest 3x3 solvers in North America and in the world. He was the 3x3 Speedsolve US Champion for 2009 and 2010, and is the first person to have successfully defended the title.

Rowe is famous for his tps. He has inspired the phrase "ROWE SPEED!"

== Notable Results on Video ==
See also [http://www.youtube.com/user/rowehess Rowe's YouTube channel].

=== 3x3x3 BLD ===
* [http://www.speedsolving.com/forum/showthread.php?3222-Rowe-Hessler-1-17-BLD-official-solve Rowe Hessler 1:17 BLD official solve]
* [http://www.speedsolving.com/forum/showthread.php?3060-Rowe-s-51-solve-reconstructed Rowe's 51 solve reconstructed]

=== 2x2 Speedsolve ===
* [http://www.speedsolving.com/forum/showthread.php?18985-Rowe-Hessler-2x2x2-3.15-average-(former-WR) Rowe Hessler 2x2x2 3.15 average (former WR)]
* [http://www.speedsolving.com/forum/showthread.php?17633-Rowe-Hessler-2.45-2x2-World-Record-Average Rowe Hessler 2.45 2x2 World Record Average]

=== 3x3x3 Speedsolve ===
* [http://www.speedsolving.com/forum/showthread.php?33926-Rowe-Hessler-s-NAR-Average-8.27 Rowe Hessler's NAR Average- 8.27]
* [http://www.youtube.com/watch?v=WkzcGEAkq1g Rowe Hessler World Rubik's Championship 2011 Final]

== Achievements ==

{{S-start}}

{{S-ach| ach=World Titles}}

{{S-title-bef| before=[[Łukasz Ciałoń]] | year=2007 }}
{{S-title| title=2x2 Speedsolve World Champion | year=2009 }}
{{S-title-aft| after=[[Feliks Zemdegs]] | year=2011}}

{{S-ach| ach=National Titles}}

{{S-title-bef| before=[[Andrew Kang]] | year=2008 }}
{{S-title| title=3x3 Speedsolve US Champion | year=2009, 2010 }}
{{S-title-aft| after=[[Dan Cohen]] | year=2011}}

{{S-title-bef| before=[[Leyan Lo]] | year=2006, 2007 }}
{{S-title| title=3x3 Blindfolded US Champion | year=2008 }}
{{S-title-aft| after=[[Alexander Yu]] | year=2009 }}

{{S-title-bef| before=[[Timothy Sun]] | year=2008 }}
{{S-title| title=2x2 Speedsolve US Champion | year=2009 }}
{{S-title-aft| after=[[David Woner]] | year=2010 }}

{{S-title-bef| before=[[Michael Gottlieb]] | year=2008 }}
{{S-title| title=4x4 Speedsolve US Champion | year=2009 }}
{{S-title-aft| after=[[Dan Cohen]] | year=2010, 2011 }}

{{S-end}}

== Media Appearances ==
* [http://www.speedsolving.com/forum/showthread.php?35364-Rowe-Hessler-solving-the-cube-on-ABC-s-quot-The-Chew-quot Rowe Hessler solving the cube on ABC's "The Chew"]

== External links ==
* [http://www.speedsolving.com/forum/showthread.php?18286 Interview with Rowe Hessler]
* [http://www.youtube.com/user/rowehess Rowe Hessler's YouTube channel]
* [http://www.cubecastpodcast.com/episodes/ CubeCast Podcast: Episode 04 - Rowe Hessler]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35870-RLS-My-new-last-slot-OLL-experiment RLS: My new last slot/OLL experiment]

[[Category:Former world record holders|Hessler, Rowe]]
[[Category:Former world champions|Hessler, Rowe]]
[[Category:2x2x2 solvers|Hessler, Rowe]]
[[Category:3x3x3 solvers|Hessler, Rowe]]
[[Category:EG users|Hessler, Rowe]]

Template:A-PLL(a)

2015-02-10T00:11:16Z

Aussie: /* A Permutation : a */

===A Permutation : a===
{{case
|image=a1.gif
|name=A-PLL a
|methods=[[CPLL]], [[PLL]], [[L3C]], [[L4C]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg| R' F R' B2 R F' R' B2 R2 |PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2 (x)|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2 (x')|PLL}}
{{Alg|l' U R' D2 R U' R' D2 R2 (x')|PLL}}
{{Alg|l' U R' (z) r2 U R' U' r2 (z) L2' (x')|PLL}}
{{Alg|(y x') R2 u2 r' F' r u2 R' U l'|PLL}}
{{Alg|(y x') R2 D2 R' U' R D2 R' U R'|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' (x')|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2 (z')|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2 (z)|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|R U' L' U' L2 U' R2 U L2 U' R2 U2 L U R'|PLL}}
{{Alg|(y') R U R' F' r U R' U' r' F R2 U' R'|PLL}}
{{Alg|(y') r U r' U' r' F r2 U' r' U' r U r' F'|PLL}}
{{Alg|(y) R L D2 R' U' R D2 R' U L' |PLL}}
{{Alg|(y2) L' B L' F2 L B' L' F2 L2 |PLL}}
{{Alg|(y') R U R' U' R' F R U R' U' R' F' R U R2 U' R' |PLL}}

List of YouTube cubers

2015-01-24T06:10:38Z

Aussie: Just added my YouTube channel too the channel list.

This page is a list of [[cuber]]s and their Youtube page.

{|border="0" width="100%" valign="top"
|- valign="top"
| width="50%" |
* [http://www.youtube.com/kalashagun KalaShagun] Shagun Kala
* [http://www.youtube.com/user/tomshakil Tomshakil] Shakil Ahmad
* [http://www.youtube.com/user/Bhargav7771 Bhargav7771] Bhargav Narasimhan
* [http://www.youtube.com/user/mayurak47 mayurak47] Mayur Arvind
* [http://www.youtube.com/user/monkeydude1313 monkeydude1313] Chris Bird - Tutorials for beginners to learn the Fridrich method as well as tutorials for other obscure puzzles.
* [http://www.youtube.com/user/Sheldonspeedcuber Sheldonspeedcuber] Pierre Bouvier
* [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 and [http://www.youtube.com/CUBESnote CUBESnote]
* [http://www.youtube.com/user/jammyman3014 jammyman3014] Brendan Vallance
* [http://www.youtube.com/user/rowehess rowehess] Rowe Hessler
* [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] Billy Hansen. Tutorials on cubing hardware.
* [http://www.youtube.com/user/ToxIkWaste ToxIkWaste] Tutorials covering cube hardware/lubrication.
* [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, first to post How to Solve a Rubik's Cube videos
* [http://www.youtube.com/user/EricLimeback EricLimeback] Eric Limeback
* [http://www.youtube.com/user/LanceTheBlueKnight LanceTheBlueKnight] Lance Taylor
* [http://www.youtube.com/user/QubedCuber Qubed] Aussie Greene
* [http://www.youtube.com/user/Desie37 Desie37] Deseree Aune
* [http://www.youtube.com/user/137456 137456]Kris De Asis/Meep
* [http://www.youtube.com/user/esquimalt1 esquimalt1]Ibrahim Vajgel-Shedid
* [http://www.youtube.com/user/ssrc ssrc]
* [http://www.youtube.com/user/theWestonian theWestonian] Weston Mizumoto
* [http://www.youtube.com/user/BluePi1313 BluePi1313] Shuqing Ma
* [http://www.youtube.com/user/tutorialswindowsxp TutorialsWindowsXp] Javier Gonzalez-Napoleoni
* [http://www.youtube.com/user/Speedcuber023 Speedcuber023] Anthony Brooks (Anthony Searle)
* [http://www.youtube.com/user/elimescube elimescube] Emile Compion
* [http://www.youtube.com/user/fallofshadows fallofshadows] Zac Livesay
* [http://www.youtube.com/user/ThomasJECubing ThomasJE]
|
* [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/Luigistl Luigistl] Austin Moore, one of the fastest Roux users.
* [http://www.youtube.com/user/aboz049 aboz049] Jorge Sanchez, Mexican Champion at 3x3
* [http://www.youtube.com/user/fazrulz1 fazrulz] Feliks Zemdegs, WR average holder at 7.64, and WR single holder at 5.66.
* [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/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/cubes4lyfe cubes4lyfe] Waffle's Channel, Roux Tutorials and Videos
* [http://www.youtube.com/user/5bld 5BLD] Alex Lau, one of the fastest Roux users.
* [http://www.youtube.com/user/Arnaudvg Arnaudvg] Arnaud van Galen
* [http://www.youtube.com/user/jaysammey777 jaysammey777]
* [http://www.youtube.com/user/lordskull14 Sagar Laud]
* [http://www.youtube.com/user/tyjet66 tyjet66] David Phelps
* [http://www.youtube.com/user/snkenjoi snkenjoi] Kirjava
* [http://www.youtube.com/user/ErniePulchny ErniePulchny] Ernie Pulchny, Master Magic WR holder
* [http://www.youtube.com/user/MrCube68 MrCube68] Miroslav Delinac
* [http://www.youtube.com/user/izovire izovire] Izovire
* [http://www.youtube.com/user/inuasha880 inuasha880] Kurt Price
* [http://www.youtube.com/user/GeorgeAndErrE Georgeanderre] Georgeanderre
* [http://www.youtube.com/user/SickXTB SickXTB] SickXTB, a collab channel started by Tall5001, Bobo11420, AvidCuber, and xxoxia.
* [http://www.youtube.com/user/pentacubers pentacubers] Pentacubers, a collab channel started by cyoubx, collinbxyz, coolfrog23, theianography, and CubeDepot.
* [http://www.youtube.com/user/TheTeenCuber TheTeenCuber]
* [http://www.youtube.com/user/RealBestInTheWorld BEST IN THE WORLD] Piyush Passi, Cube Reviews
* [http://www.youtube.com/user/therubikscard101 INSANEcuber] - 2x2 Average World Record Holder
|}

There are more YouTube channels listed in [http://www.speedsolving.com/forum/showthread.php?t=12476 this thread].

[[Category:Resources]]
[[Category:Community]]
[[Category:Lists|YouTube cubers]]
[[Category:Lists of cubers]]

Forum cubers by location

2015-01-20T21:34:22Z

Aussie: /* United States */

__NOTOC__

This is a list of the members of the speedsolving.com forum by their location. This list is not complete, so if you notice someone who is not on this list feel free to add their name under the category for their country. If the country is not already listed, go ahead and create a new category for it.

Another list of cubers by location can be found on [http://www.frappr.com/speedcubers Frappr].

==Africa==

===South Africa===
:[http://www.speedsolving.com/forum/member.php?u=1176 DAE_JA_VOO]

==Asia==

===India===
:[http://www.speedsolving.com/forum/member.php?u=311 Karthik]
:[http://www.speedsolving.com/forum/member.php?23150-justabeginner justabeginner]

===Malaysia===
:[http://www.speedsolving.com/forum/member.php?10611 aikikai_cuber]

==Europe==

===Denmark===
:[http://www.speedsolving.com/forum/member.php?u=474 LarsN] -- ''Lars Vennike Nielsson'' -- [http://www.worldcubeassociation.org/results/p.php?i=2008NIEL01 WCA Profile]

===France===
:'''Paris'''
::[http://www.speedsolving.com/forum/member.php?u=1684 TMOY]

===Iceland===
:'''Reykjavík'''
::[http://www.speedsolving.com/forum/member.php?8608 Karth] Living in Finland until end of June 2011

===Sweden===
:'''Stockholm'''
::[http://www.speedsolving.com/forum/member.php?u=479 Kenneth] -- ''[[User:Kenneth|Kenneth Gustavsson]]'' -- [http://www.worldcubeassociation.org/results/p.php?i=2005GUST01 WCA Profile]
::[http://www.speedsolving.com/forum/member.php?u=1673 Coinman] -- ''Tommy Gustavsson'' -- [http://www.worldcubeassociation.org/results/p.php?i=2005GUST02 WCA Profile]

:'''Strängnäs'''
::[http://www.speedsolving.com/forum/member.php?u=9120 Oljibe] -- ''Rickard Jonsson'' -- [http://www.worldcubeassociation.org/results/p.php?i=2010JONS01 WCA Profile]

===United Kingdom===
:[http://www.speedsolving.com/forum/member.php?u=1742 msemtd] -- Michael Erskine, Sherwood, Nottingham. [http://www.worldcubeassociation.org/results/p.php?i=2008ERSK01 WCA profile] --[[User:Msemtd|Msemtd]]
:[[User:Cride5|Cride5]]

==North America==

===Canada===
:'''Saskatchewan'''
::[http://www.speedsolving.com/forum/member.php?u=1569 Connorcuber]
:'''Ontario'''
::[http://www.speedsolving.com/forum/member.php?u=1144 Sa967St]
::[http://www.speedsolving.com/forum/member.php?u=2487 Riffz]
:'''Manitoba'''
::[http://www.speedsolving.com/forum/member.php?u=4060 miniGOINGS]
:'''Nova Scotia'''
::[http://www.speedsolving.com/forum/member.php?10154-FoxWolf FoxWolf]
::[http://www.speedsolving.com/forum/member.php?9943-Erzz Erzz]

===Dominican Republic===
::[http://www.speedsolving.com/forum/member.member.php?9069 UnAbusador]

===Honduras===
::[http://www.speedsolving.com/forum/member.php?u=9086 Systemdertoten]

===United States===
:'''AL (Alabama)'''
::[http://www.speedsolving.com/forum/member.php?u=1119 Adam Morgan (ajmorgan25)]
:'''CA (California)'''
::[http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]
::'''San Francisco Bay Area'''
:::[http://www.speedsolving.com/forum/member.php?u=182 deathbypapercutz]
:::[http://www.speedsolving.com/forum/member.php?u=2 Lucas Garron]
:::[http://www.speedsolving.com/forum/member.php?u=657 whatsinacube]
::'''Los Angeles Area'''
:::[http://www.speedsolving.com/forum/member.php?u=765 Dene] (first half of 2009)
:::[http://www.speedsolving.com/forum/member.php?u=808 qqwref] - [[User:Qqwref|qqwref]] (when at college)
:'''CO (Colorado)'''
::[http://www.speedsolving.com/forum/member.php?u=1 PJK]
::[http://www.speedsolving.com/forum/member.php?u=2923 JTW2007]
::[http://www.speedsolving.com/forum/member.php?u=7768 AJ Blair]
:'''FL (Florida)'''
::[http://www.speedsolving.com/forum/member.php?u=348 Dudemanpp]
:'''GA (Georgia)'''
::[http://www.speedsolving.com/forum/member.php?u=1042 Hadley4000]
:'''IN (Indiana)'''
::[http://www.speedsolving.com/forum/member.php?u=7057 fatboyxpc] - Indianapolis
::[http://www.speedsolving.com/forum/member.php?u=5194 jms_gears1] - Indianapolis
::[http://www.speedsolving.com/forum/member.php?u=402 Mike Hughey] - Indianapolis
:'''KY (Kentucky)'''
::[http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith] - Lexington
::[http://www.speedsolving.com/forum/member.php?u=967 Carson Penticuff] - Somerset
:'''MA (Massachusetts)'''
::[http://www.speedsolving.com/forum/member.php?u=131 Tim Reynolds] - Cambridge
::[http://www.speedsolving.com/forum/member.php?u=5393 JonnyWhoopes (Jonathan Grayum)] - Leicester
:'''MD (Maryland)'''
::[http://www.speedsolving.com/forum/member.php?u=1614 Brett]
::[http://www.speedsolving.com/forum/member.php?u=768 fanwuq]
:'''MN (Minnesota)'''
::[http://www.speedsolving.com/forum/member.php?u=640 Bryan Logan] - Rochester
::[http://www.speedsolving.com/forum/member.php?u=4831 Logan (Kelly)] - Hastings
::[http://www.speedsolving.com/forum/member.php?u=7507 Tyjet66] - Waterville
:'''MO (Missouri)'''
::[http://www.speedsolving.com/forum/member.php?u=1403 Vault312] (during summer)
:'''NC (North Carolina)'''
::[http://www.speedsolving.com/forum/member.php?u=63 cmhardw] - Morrisville
:'''NJ (New Jersey)'''
::[http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]
::[http://www.speedsolving.com/forum/member.php?u=61 macky] - Princeton
::[http://www.speedsolving.com/forum/member.php?u=902 Auburn Manlangit] - Northern NJ
::[http://www.speedsolving.com/forum/member.php?u=76 Bob] - Kearny
::[http://www.speedsolving.com/forum/member.php?8691-Ernie-Pulchny Ernie Pulchny]
:'''NM (New Mexico)'''
::[http://www.speedsolving.com/forum/member.php?u=1518 Kiel0]
:'''NY (New York)'''
::[http://www.speedsolving.com/forum/member.php?u=131 Tim Reynolds] Pleasantville (when not at school)
::[http://www.speedsolving.com/forum/member.php?u=808 qqwref] - [[User:Qqwref|qqwref]] (when at home)
:'''OH (Ohio)'''
::[http://www.speedsolving.com/forum/member.php?u=1358 JBCM627]
::[http://www.speedsolving.com/forum/member.php?u=1493 CAT13]
::[http://www.speedsolving.com/forum/member.php?u=912 Pcharles93]
::[http://www.speedsolving.com/forum/member.php?u=8042 NeedReality] Kent
:'''PA (Pennsylvania)'''
::[http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]
::[http://www.speedsolving.com/forum/member.php?10830 Your Mother]
::[http://www.speedsolving.com/forum/member.php?u=1403 Vault312] (during school year)
::[http://www.speedsolving.com/forum/member.php?u=1891 StachuK1992]
:'''TN (Tennessee)'''
::[http://www.speedsolving.com/forum/member.php?25285 Aussie] - Nashville
::[http://www.speedsolving.com/forum/member.php?28078 AllTheCubes]
:'''TX (Texas)'''
::[http://www.speedsolving.com/forum/member.php?u=2160 Fobo911]
:'''UT (Utah)'''
::[http://www.speedsolving.com/forum/member.php?u=1889 not_kevin]
:'''VA (Virginia)'''
::[http://www.speedsolving.com/forum/member.php?u=792 Siraj A.]
:'''WV (West Virginia)'''
::[http://www.speedsolving.com/forum/member.php?u=7077 nlcuber22]
::[http://www.speedsolving.com/forum/member.php?u=7568 skatemaster78]
::[http://www.speedsolving.com/forum/member.php?u=7184 CitricAcid]

==Oceania==

===Australia===
:'''Sydney'''
::[http://www.speedsolving.com/forum/member.php?u=1765 Rawn]
::[http://www.speedsolving.com/forum/member.php?u=5581 AndyRoo789]
::[http://www.speedsolving.com/forum/member.php?u=8574 TacoCube]
:'''Victoria'''
::[http://www.speedsolving.com/forum/member.php?u=9059 hic0057]

===New Zealand===
:[http://www.speedsolving.com/forum/member.php?u=1293 *LukeMayn*]
:'''Hamilton'''
::[http://www.speedsolving.com/forum/member.php?u=1345 auhsoj]
:'''Christchurch'''
::[http://www.speedsolving.com/forum/member.php?u=765 Dene]

==South America==

===Brazil===
:[http://www.speedsolving.com/forum/member.php?u=11 Pedro]

[[Category:Community]]
[[Category:Lists of cubers]]

Forum cubers by location

2015-01-20T21:30:11Z

Aussie: /* United States */

__NOTOC__

This is a list of the members of the speedsolving.com forum by their location. This list is not complete, so if you notice someone who is not on this list feel free to add their name under the category for their country. If the country is not already listed, go ahead and create a new category for it.

Another list of cubers by location can be found on [http://www.frappr.com/speedcubers Frappr].

==Africa==

===South Africa===
:[http://www.speedsolving.com/forum/member.php?u=1176 DAE_JA_VOO]

==Asia==

===India===
:[http://www.speedsolving.com/forum/member.php?u=311 Karthik]
:[http://www.speedsolving.com/forum/member.php?23150-justabeginner justabeginner]

===Malaysia===
:[http://www.speedsolving.com/forum/member.php?10611 aikikai_cuber]

==Europe==

===Denmark===
:[http://www.speedsolving.com/forum/member.php?u=474 LarsN] -- ''Lars Vennike Nielsson'' -- [http://www.worldcubeassociation.org/results/p.php?i=2008NIEL01 WCA Profile]

===France===
:'''Paris'''
::[http://www.speedsolving.com/forum/member.php?u=1684 TMOY]

===Iceland===
:'''Reykjavík'''
::[http://www.speedsolving.com/forum/member.php?8608 Karth] Living in Finland until end of June 2011

===Sweden===
:'''Stockholm'''
::[http://www.speedsolving.com/forum/member.php?u=479 Kenneth] -- ''[[User:Kenneth|Kenneth Gustavsson]]'' -- [http://www.worldcubeassociation.org/results/p.php?i=2005GUST01 WCA Profile]
::[http://www.speedsolving.com/forum/member.php?u=1673 Coinman] -- ''Tommy Gustavsson'' -- [http://www.worldcubeassociation.org/results/p.php?i=2005GUST02 WCA Profile]

:'''Strängnäs'''
::[http://www.speedsolving.com/forum/member.php?u=9120 Oljibe] -- ''Rickard Jonsson'' -- [http://www.worldcubeassociation.org/results/p.php?i=2010JONS01 WCA Profile]

===United Kingdom===
:[http://www.speedsolving.com/forum/member.php?u=1742 msemtd] -- Michael Erskine, Sherwood, Nottingham. [http://www.worldcubeassociation.org/results/p.php?i=2008ERSK01 WCA profile] --[[User:Msemtd|Msemtd]]
:[[User:Cride5|Cride5]]

==North America==

===Canada===
:'''Saskatchewan'''
::[http://www.speedsolving.com/forum/member.php?u=1569 Connorcuber]
:'''Ontario'''
::[http://www.speedsolving.com/forum/member.php?u=1144 Sa967St]
::[http://www.speedsolving.com/forum/member.php?u=2487 Riffz]
:'''Manitoba'''
::[http://www.speedsolving.com/forum/member.php?u=4060 miniGOINGS]
:'''Nova Scotia'''
::[http://www.speedsolving.com/forum/member.php?10154-FoxWolf FoxWolf]
::[http://www.speedsolving.com/forum/member.php?9943-Erzz Erzz]

===Dominican Republic===
::[http://www.speedsolving.com/forum/member.member.php?9069 UnAbusador]

===Honduras===
::[http://www.speedsolving.com/forum/member.php?u=9086 Systemdertoten]

===United States===
:'''AL (Alabama)'''
::[http://www.speedsolving.com/forum/member.php?u=1119 Adam Morgan (ajmorgan25)]
:'''CA (California)'''
::[http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]
::'''San Francisco Bay Area'''
:::[http://www.speedsolving.com/forum/member.php?u=182 deathbypapercutz]
:::[http://www.speedsolving.com/forum/member.php?u=2 Lucas Garron]
:::[http://www.speedsolving.com/forum/member.php?u=657 whatsinacube]
::'''Los Angeles Area'''
:::[http://www.speedsolving.com/forum/member.php?u=765 Dene] (first half of 2009)
:::[http://www.speedsolving.com/forum/member.php?u=808 qqwref] - [[User:Qqwref|qqwref]] (when at college)
:'''CO (Colorado)'''
::[http://www.speedsolving.com/forum/member.php?u=1 PJK]
::[http://www.speedsolving.com/forum/member.php?u=2923 JTW2007]
::[http://www.speedsolving.com/forum/member.php?u=7768 AJ Blair]
:'''FL (Florida)'''
::[http://www.speedsolving.com/forum/member.php?u=348 Dudemanpp]
:'''GA (Georgia)'''
::[http://www.speedsolving.com/forum/member.php?u=1042 Hadley4000]
:'''IN (Indiana)'''
::[http://www.speedsolving.com/forum/member.php?u=7057 fatboyxpc] - Indianapolis
::[http://www.speedsolving.com/forum/member.php?u=5194 jms_gears1] - Indianapolis
::[http://www.speedsolving.com/forum/member.php?u=402 Mike Hughey] - Indianapolis
:'''KY (Kentucky)'''
::[http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith] - Lexington
::[http://www.speedsolving.com/forum/member.php?u=967 Carson Penticuff] - Somerset
:'''MA (Massachusetts)'''
::[http://www.speedsolving.com/forum/member.php?u=131 Tim Reynolds] - Cambridge
::[http://www.speedsolving.com/forum/member.php?u=5393 JonnyWhoopes (Jonathan Grayum)] - Leicester
:'''MD (Maryland)'''
::[http://www.speedsolving.com/forum/member.php?u=1614 Brett]
::[http://www.speedsolving.com/forum/member.php?u=768 fanwuq]
:'''MN (Minnesota)'''
::[http://www.speedsolving.com/forum/member.php?u=640 Bryan Logan] - Rochester
::[http://www.speedsolving.com/forum/member.php?u=4831 Logan (Kelly)] - Hastings
::[http://www.speedsolving.com/forum/member.php?u=7507 Tyjet66] - Waterville
:'''MO (Missouri)'''
::[http://www.speedsolving.com/forum/member.php?u=1403 Vault312] (during summer)
:'''NC (North Carolina)'''
::[http://www.speedsolving.com/forum/member.php?u=63 cmhardw] - Morrisville
:'''NJ (New Jersey)'''
::[http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]
::[http://www.speedsolving.com/forum/member.php?u=61 macky] - Princeton
::[http://www.speedsolving.com/forum/member.php?u=902 Auburn Manlangit] - Northern NJ
::[http://www.speedsolving.com/forum/member.php?u=76 Bob] - Kearny
::[http://www.speedsolving.com/forum/member.php?8691-Ernie-Pulchny Ernie Pulchny]
:'''NM (New Mexico)'''
::[http://www.speedsolving.com/forum/member.php?u=1518 Kiel0]
:'''NY (New York)'''
::[http://www.speedsolving.com/forum/member.php?u=131 Tim Reynolds] Pleasantville (when not at school)
::[http://www.speedsolving.com/forum/member.php?u=808 qqwref] - [[User:Qqwref|qqwref]] (when at home)
:'''OH (Ohio)'''
::[http://www.speedsolving.com/forum/member.php?u=1358 JBCM627]
::[http://www.speedsolving.com/forum/member.php?u=1493 CAT13]
::[http://www.speedsolving.com/forum/member.php?u=912 Pcharles93]
::[http://www.speedsolving.com/forum/member.php?u=8042 NeedReality] Kent
:'''PA (Pennsylvania)'''
::[http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]
::[http://www.speedsolving.com/forum/member.php?10830 Your Mother]
::[http://www.speedsolving.com/forum/member.php?u=1403 Vault312] (during school year)
::[http://www.speedsolving.com/forum/member.php?u=1891 StachuK1992]
:'''TN (Tennessee)'''
::[http://www.speedsolving.com/forum/member.php?25285 Aussie]
:'''TX (Texas)'''
::[http://www.speedsolving.com/forum/member.php?u=2160 Fobo911]
:'''UT (Utah)'''
::[http://www.speedsolving.com/forum/member.php?u=1889 not_kevin]
:'''VA (Virginia)'''
::[http://www.speedsolving.com/forum/member.php?u=792 Siraj A.]
:'''WV (West Virginia)'''
::[http://www.speedsolving.com/forum/member.php?u=7077 nlcuber22]
::[http://www.speedsolving.com/forum/member.php?u=7568 skatemaster78]
::[http://www.speedsolving.com/forum/member.php?u=7184 CitricAcid]

==Oceania==

===Australia===
:'''Sydney'''
::[http://www.speedsolving.com/forum/member.php?u=1765 Rawn]
::[http://www.speedsolving.com/forum/member.php?u=5581 AndyRoo789]
::[http://www.speedsolving.com/forum/member.php?u=8574 TacoCube]
:'''Victoria'''
::[http://www.speedsolving.com/forum/member.php?u=9059 hic0057]

===New Zealand===
:[http://www.speedsolving.com/forum/member.php?u=1293 *LukeMayn*]
:'''Hamilton'''
::[http://www.speedsolving.com/forum/member.php?u=1345 auhsoj]
:'''Christchurch'''
::[http://www.speedsolving.com/forum/member.php?u=765 Dene]

==South America==

===Brazil===
:[http://www.speedsolving.com/forum/member.php?u=11 Pedro]

[[Category:Community]]
[[Category:Lists of cubers]]

List of twisty puzzles

2015-01-18T22:37:24Z

Aussie: /* Cube */

The following is a list of [[twisty puzzle]]s by shape.

== Cube ==
* [[2x2x2]]
* [[3x3x3]]
* [[4x4x4]]
* [[5x5x5]]
* [[6x6x6]]
* [[7x7x7]]
* [[8x8x8]]
* [[9x9x9]]
* [[10x10x10]]
* [[11x11x11]]
* [[13x13x13]]

== Cuboid ==
* [[3x3x2]] ([[Rubik's Domino]])
* [[2x2x3]]
* [[1x1x3]]
* [[4x3x3]]
* [[5x3x3]]
* [[7x3x3]]

== 4-sided ==
* [[Pyraminx]] (Tetrahedral)

== 12-sided ==
* [[Megaminx]]
* [[Gigaminx]]
* [[Teraminx]]
* [[Petaminx]]
* [[Dogic]]

== Flip ==
* [[Rubik's Magic]]
* [[Master Magic]]

== Other ==
* [[Rubik's Clock]]
* [[Skewb]]

[[Category:Lists|twisty puzzles]]

User:Aussie

2015-01-10T03:27:05Z

Aussie:

Hello! I'm Aussie Greene and I am a 6x6 Speed cuber from Nashville Tennessee. My WCA I is 2014GREE02.

User:Aussie

2015-01-10T03:26:26Z

Aussie: Created page with "Hello! I'm Aussie Greene and I am a 6x6 Speed cuber from Nashville Tennessee."

Hello! I'm Aussie Greene and I am a 6x6 Speed cuber from Nashville Tennessee.

PLL

2015-01-10T03:03:26Z

Aussie: /* J Permutation : a */

{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[LL:EO+CO cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=LL:EO+CO cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''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. If you like, 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}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

== External links ==

* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognising PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

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

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.1(v3)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=QA5DZnPYVzE}}
{{Alg|(y’) L U F L' U' L U L F' L2 U L U L' U' L U' L'|Alg.1(v4)|cube=3x3x3$stage=PLL}}
Decomposition(Alg.1) = [R', U] [R2: [F', U'] [R, F] ] (U')
{{Alg|L' U2 L' U' F' L' F2 U' F' U F' L F U' L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
Decomposition(Alg.2) = [L' U: [U: (L')] [F' L' F: [F, U'] ] ]
{{Alg|L B2 F' D2 B R' B' D2 F2 L' F' L B2 L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
Decomposition(Alg.3) = [L B2: [F' D2 B: (R')] [F, L'] ]
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [B' U': [R': [B, U] [B', R] ] [B U' B': (U')] ]
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L, U'] [L2: [F, U] [L', F'] ] (U)
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [R' U': [R' U2 L U': [U, L' U2 R] [U' R' U': (R')] ] ]
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|Alg.7|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [L2: [L', U2] [R': [U L U: (L)] [U', R] ] [U, L'] ]
{{Alg|L R' F2 R' D L' F2 R U' L2 R B2 L2 U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L R': [F2 R': (D)] [F2, L' R'] ] [R', U'] [U' L2: B2]
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(r U R' U') (z) U' (l' U2 r' U') (r U2 l' U R2) (x)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [F2 R': [R, F2 L F] [F D2 B': (L')] ]
{{Alg|R B2 D B2 R' B' R B' D2 F L' F' D B2 R'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y x) U R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (x')|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [R B2 D: [B2: [R', B'] ] [D2 F: (L')] ]
{{Alg|B U B' U B U2 B2 U' B U' B' U2 B U F R B' R' F' R B R'|Alg.11|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U R' U R U2 R2) (U' R U' R' U2 R) U (r U R' U' r' F R F')|Alg.11(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [B: (U)] [U': [U2, B] [B', U'] [U2, B'] ] [F, R B' R']
{{Alg|F2 B2 D F2 B2 R U R' U' R' F R2 U' R' U' R U R' F B2 D' F2 B2|Alg.12|cube=3x3x3&stage=PLL}}
{{Alg|(y) M2 U M2 (y') (R U R' U' R' F R2 U' R' U' R U R' F') (y) M2 U' M2|Alg.12(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [F2 B2 D B2 F': [F': [R, U] [R', F] ] [R U' R': (U')] ]
{{Alg|R U' F R F' U F' U' F2 R' F' U' R' U2 R'|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y) F U' r U r' U r' F' r2 U' r' U' F' U2 F'|Alg.13(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.13) = [R U': [F R F': [U, F'] ] [U': (R')] ]

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u R' U R' U' R u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U R' U R' U' R U' R2 D U' R' U R D'|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|R U R' U' R' U F R U R U' R' F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R F' L' F U R' U' F' L F' L'|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}
{{Alg|(y) F' U' F R2 u R' U R U' R u' R2'|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u R' U R U' R u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u' R U' R U R' u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' (y') R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) L U2 L' U F' L' U' L U L F U L' U' L' U L|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|B' U F' U2 B U' B' U2 F B U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 R L|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B' U: [F' U2 B: (U')] [B, U'] ]
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R2 u' R' u R2 (x' y') R' U R' U' l2'|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 r' U' r U2 l' U R' U' l2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) l2 U R U' l U2 r' U r U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [B2 R': (U')] [L': [D, L'] ]
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L' R': [R, U] [U' L U', R] (U) [U, L] ]
{{Alg|L' U' L F L' U' L U L F' L2 U L U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [L' U' L F: [L', U'] [L, F'] ] (U)
{{Alg|B2 R2 U' R2 D B2 D' B2 U B2 U'|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [B2: [R2: (U')] [D, B2] [U, B2] ]
{{Alg|B2 U' D B2 U' B2 U B2 D' B2 U B2 U'|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2'|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D B2: [B2, D'] (U') [B2, U'] ] [B2, U]
{{Alg|L' U2 L U L' U2 R U' L U R'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
Decomposition(Alg.7) = [L': [U2 L: (U)] [R: [U', L]] ]
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R|Alg.8(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' d2 R U R' d2 R U' L|Alg.8(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U' D' R2 U R U' R2 (z') R U' L|Alg.8(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 L R|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L': [R' U2 L: (U)] [U', L] ]
{{Alg|B U' L' B L2 U' L' U' L U L' B' L U L' B'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R' F R2 U' R' U' R U R' F' R U R' F'|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [B L U' L' B: [B' L U, L'] [L, U'] (U') [U', L] ]
{{Alg|B' U B' R2 F D' F D F2 R2 B2|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U l' U2 r U' L U r2 F2 R2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [B2: [B: (U)] [R2 F: [D', F] ] ]
{{Alg|R U' L' U R' U2 L U' L' U2 L|Alg.11|cube=3x3x3&stage=PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|B U' F U2 B' U B U2 F' B' U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' R U2 L' U L U2 R' L'|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L U2 R' U R U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 D' U' (z)|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.2|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B U': [F U2 B': (U)] [B', U] ]
{{Alg|B2 L U L' B2 R D' R D R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 R U R' F2 L D' L D L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 R U R' b2 R U' R U l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) L U' L U r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r U' L U r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) r2 U' L' U r' U2 l U' l' U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [B2 L: (U)] [R: [D', R] ]
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L R: [L', U'] [U R' U, L'] (U') [U', R'] ]
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R U R' F': [R, U] [R', F]] (U')
{{Alg|B2 L2 U L2 D' B2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|B2 L2 U L2 u' L2 D L2 U' L2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [B2: [L2: (U)] [D', B2] [U', B2] ]
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L U2' R' U L' U' R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2' L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z') D' L U L' D L' (L' U' L U) L2' U' (z)|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U L U' R U2 L' U L U2 L'|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R: [U2 R': (U')] [L': [U, R'] ] ]
{{Alg|L R U2 R' U' R U2 L' U R' U'|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R L U2 L' U' L U2 R' U L'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L R d2 L' U' L d2 L' U R'|Alg.8(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(z') U D L2 U' L' U L2 (z) L' U R'|Alg.8(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L U2 R' U R U2 R' L'|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 U' D' (z)|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R: [L U2 R': (U')] [U, R'] ]
{{Alg|B' U R B' R2 U R U R' U' R B R' U' R B|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F' U L F' L2 U L U L' U' L F L' U' L F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [B' R' U R B': [B R' U', R] [R', U] (U) [U, R'] ]
{{Alg|B U' B L2 F' D F' D' F2 L2 B2|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [B2: [B': (U')] [L2 F': [D, F'] ] ]
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.11|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(L U' R U2 L' U R')2 U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L R: [R', U'] [U2: [U': [L', U] ] [R', U'] ] [U', L'] ] (U')
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(L U' L F') L' F (L' U L) F U' (F' L' U' L U) L'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [L U': [L' U L F: (U)] [F', L] ]
{{Alg|R U' R' U R B U B' R' U' R B' R B R' U R'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R U': [R' U R B: (U)] [B', R] ]
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R' U R2 B2 U R': B2] (U')
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F' R U, R'] [R F U' R': (U')]
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|Alg.6|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=pnnb2rgLRuU}}
Decompositon(Alg.6) = [R U R': [U2: [U', R] [F' R U, R'] [R, U'] ] (U')]
{{Alg|R U R' B U B' R' B U B' U' B' R B2 U' B' U' R U' R'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R U R': [B U B' R': [B, U] [B', R]] (U')]
{{Alg|L2 U2 L' U2 F2 L2 F2 L F2 U2 L2 U2 L F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L: [L, U2] [F2, L2] ] [F2: [U2, L2] (L')]
{{Alg|R U R' U' L U2 L' U' L U2 R' U L' U' R U R U' R'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(R U R' U') L U2 L' U' L (z') L2 U' L D' L' U (L U L' U') (z)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R U R' U': [L: [U2 L': (U')] [R' U, L'] ] ]
{{Alg|L' U L2 F2 U L' F2 L U' F2 L2 U' L U'|Alg.10|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L' U L2 F2 U L': F2] (U')
{{Alg|L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [L2 U F2: [F2, U'] [U, F2] [L2, U2] [U, F2] ] (U')
{{Alg|(L U L' U) (R' U L U') R U2 (L' U L U2) L' (U' L U' L')|Alg.12|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [L U L' U: [L: [R': [L', U] ] [U2 L': (U)] ] ]

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z') L (U' L D' L2 U L' D)2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(L' U R' U2' L U' R)2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U' R D' R2 U R' U' (z') R U R' (z) R2 U R' (z') R|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L' R': [L, U] [U2: [U: [R, U'] ] [L, U] ] [U, R] ] (U)
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L U L' U' F' L' F U L U' F U' F' U L' U (z)|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(R' U R' F) R F' (R U' R') F' U (F R U R' U') R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R' U: [R U' R' F': (U')] [F, R'] ]
{{Alg|L' U L U' L' B' U' B L U L' B L' B' L U' L|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L' U: [L U' L' B': (U')] [B, L'] ]
{{Alg|L U' L2 B2 U' L B2 L' U B2 L2 U L' U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [L U' L2 B2 U' L: B2] (U)
{{Alg|F L' U' L U L F' L2 F' U L U L' U' F L|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F L' U', L] [L' F' U L: (U)]
{{Alg|L' U' L U' (L' U' L F L' U' L U L F' L2 U L) U2 L' U L|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [L' U' L: [U2: [U, L'] [F L' U', L] [L', U] ] (U)]
{{Alg|L' U' L B' U' B L B' U' B U B L' B2 U B U L' U L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R (y) (L' U' L F L' U' L U L F' L2 U L) (y) U L' U L|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [L' U' L: [B' U' B L: [B', U'] [B, L']] (U)]
{{Alg|R2 U2 R U2 F2 R2 F2 R' F2 U2 R2 U2 R' F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(z') U2 L2 U L2 (y) L2 U2 L2 U' L2 (y') L2 U2 L2 d' L2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R': [R', U2] [F2, R2] ] [F2: [U2, R2] (R)]
{{Alg|L' U' L U R' U2 R U R' U2 L U' R U L' U' L' U L|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(L' U' L U) R' U2' R U R' (z) R2 U R' D R U' (R' U' R U) (z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [L' U' L U: [R': [U2 R: (U)] [L U', R] ] ]
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|Alg.10|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [R U' R2 F2 U' R: F2] (U)
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R2 U' F2: [F2, U] [U', F2] [R2, U2] [U', F2] ] (U)
{{Alg|(R' U' R U') (L U' R' U) L' U2 (R U' R' U2) R (U R' U R)|Alg.12|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [R' U' R U': [R': [L: [R, U'] ] [U2 R: (U')] ] ]

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|Alg.1(v8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|Alg.1(v9)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U2] [R B' R', U' R U] [U' R: (U)]
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R U': [R F2 U R U: (R)] [R', U] ]
{{Alg|F U F' L' F U2 F' U2 F' L F U F U2 F' U'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [F U F' L' F U2, F'] [U2, F] (U')
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R: [U2 R' U2, U R' F' R] ] (U)
{{Alg|L' U' L U2 L U2 R' L2 U L U' L R U2 L' U2|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R' U2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L': (U')] [U2, L] [R': [L', U] ] [L, U2]
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [U' R: [R', U] [U', R D R'] [U' R': (U)] ]
{{Alg|F U' F' U' F U F D F' U' F D' F' U2 F' U'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [F: [U' F': (U')] [F D F', U'] [U, F'] ]
{{Alg|B' L' U' L B' L' U B' U' B' U B L B2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [B2 L': [L B L', U'] [B' U': (B')] ]
{{Alg|R U2 R' U B L' B' R B L B' U R' U|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U (y) R B' R' F R B R' (z x) R U' (x' z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R U' R': [R, U'] [B L' B', R] ] (U)
{{Alg|L U2 L2 B L B' L U2 L' F' L' U L U L' U' L F|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U2 l' R' U R U' l U2 R' B' R' U R U R' U' R B|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L U2 L': [L', B] ] [F' L': [U L: (U)] ]
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R U2: [R D R', U] [R', U] ] (U)

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U)' l' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
{{Alg|B2 R B U B U' B' R' B U2 B' U2 B|Alg.1(v7)|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|Alg.1(v8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|Alg.1(v9)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R', U2] [R' F R, U R' U'] [U R': (U')]
{{Alg|B2 L2 U' B' U' B U B U L2 B U' B U|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' B2 U' R' U' R' U R U B2 R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 B2 U' R' U' R U R U B2 R U' R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R' U: [R' B2 U' R' U': (R')] [R, U'] ]
{{Alg|B' U' B L B' U2 B U2 B L' B' U' B' U2 B U|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' R B R' U2 R U2 R B' R' U' R' U2 R|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [B' U' B L B' U2, B] [U2, B'] (U)
{{Alg|R' U2 R U R B R' U2 R' U2 R B' R' U R U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R': [U2 R U2, U' R B R'] ] (U')
{{Alg|L U L' U2 L' U2 R L2 U' L' U L' R' U2 L U2|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U R' U2 R' U2 L R2 U' R' U R' L' U2 R|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L: (U)] [U2, L'] [R: [L, U'] ] [L', U2]
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [U R': [R, U'] [U, R' D' R] [U R: (U')] ]
{{Alg|B' U B U B' U' B' D' B U B' D B U2 B U|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U R U R' U' R' D' R U R' D R U2 R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [B': [U B: (U)] [B' D' B, U] [U', B] ]
{{Alg|F L U L' F L U' F U F U' F' L' F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y' x) R U B U' R U (x') U' R U R U' R' F' R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [F2 L: [L' F' L, U] [F U: (F)] ]
{{Alg|R' U2 R U' F' L F R' F' L' F U' R U'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U' (y') R' F R B' R' F' R (z x') R' U (x z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R' U R: [R', U] [F' L F, R'] ] (U')
{{Alg|L' U2 L2 F' L' F L' U2 L B L U' L' U' L U L' B'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L' U2 L: [L, F'] ] [B L: [U' L': (U')] ]
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R' U2: [R' D' R, U'] [R, U'] ] (U')

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|Alg.1(v2):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) B L U' L' U L U L2 B' L U L U' L'|Alg.1(v3):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U] [F: [F', R'] [R U' R': (U')] ]
{{Alg|R' U' R U R B' R2 U R U R' U' R B|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|Alg.2(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R', U'] [B': [B, R] [R' U R: (U)] ]
{{Alg|R2 U R2 U' R2' U' D R2 U' R2' U R2 D'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2, U] [D R2: [R2, D'] [U' R2: (U')] ]
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|Alg.4(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [U': [U, R2] [B2 D: [D', B2] [L2: (U)] ] ]
{{Alg|R2 D' F2 U F2 R2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [R2 D' F2: (U)] [R2, D'] [B2, U']
{{Alg|R2 D' F2 D R2 B2 D L2 D' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 (z')|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [R2 D': F2] [B2 D: L2] (U)
{{Alg|R U R' U' R2 D R' U' R' U' R U R2 D' R|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R, U] [R' D R': [R, D'] [R' U' R': (U')] ]
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|Alg.8|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R2: [U, R2] [F2: (U')] [D, R2] ]
{{Alg|F' U F' L2 B D' B' L2 F2 U' S' U2 S U2|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|y' L U' r U2 l' U l U2 x r2' (U M U2 M')|Alg.9(v1):Mirr(Alg9)|cube=3x3x3&stage=PLL}}
{{Alg|y x r' U r' d2 r U' r' d2 r2 x' U' M' U2 M|Alg.9(v2)|vidurl=https://www.youtube.com/watch?v=pe2d2ZpYNco}}
Decomposition(Alg.9) = [F', U] [U F2 L2 B: (D')] [S', U2]

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' (y) U' R' F' R2 U' R' U R' F R F|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|Alg.1(v6)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R2: [R, U] [B': (R')] [B, U'] [B', R] ]
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|Alg.2(v5)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R2: [R, U] [B': [D, B'] [B: (R')] ] [B', R] ]
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R', U2] [L U' R' U L': (U)]
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R2: [U', B2] [R D': (R)] [U, R] ]
{{Alg|F' U B U' F U F' U B' U' F U2 B U2 B'|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) r' F R F' r U r' F R' F' r U2 R U2 R'|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|Alg.5(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' (z')|Alg.5(v5)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F' U B U' F: (U)] [U2, B]
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [L U' R' U L': (U')] [U2, R']
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|Alg.7|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [U: [U': (R)] [D: [D', U R'] [R: [U', R] ] [D: [R', U']] ] ]
{{Alg|(y) R U' R U (y) L D' L D L2 (y') R F R' F' R'|Alg.8|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|Alg.1|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
Decomposition(Alg.1) = [F R U' R': (U')] [R, U] [R', F]
{{Alg|R' U' R F2 R' U R U F2 U' F2 U' F2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [F2: [F2, R' U' R] [U F2: (U')] ]
{{Alg|R2 U' R2 U' R2 U F U F' R2 F U' F'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|Alg.3(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2: [U' R2: (U')] [F U F', R2] ]
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [F2: [D R2: (U)] [R' U' R, F2] ]
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F2: [F', R'] [R U' R': (U')] [F': [R, U] ] ]
{{Alg|F R' F' R U R U' R2 U' R U R B' R' B U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U (x)|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [F, R'] [U, R] [R', U'] [R, B'] (U)
{{Alg|F R U' R' U' R U F U F' R' F U' F2|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [F: [R, U'] [U2, R] [R: [U', F] ] [F: (U')] ]
{{Alg|R' F R F' U' F' U F2 U F' U' F' L F L' U'|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|R' F R F' (y') U' R' U R2 U R' U' R' F R F'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R', F] [U', F'] [F, U] [F', L] (U')
{{Alg|R' F' U F U F' U' F R F' U' F U F R' F' R|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R' F' U F: (U)] [F', U'] [F, R']
{{Alg|F2 U F U' F' U L F R' F R F L' F'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [F2: [U, F] (U) [L F: [R', F] ] [L, F'] ]
{{Alg|R2 U' R' U R U' B' R' F R' F' R' B R|Alg.11|cube=3x3x3&stage=PLL}}
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|Alg.11(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|Alg.11(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R: [R, U'] [R: (U')] ] [R2, B'] [B': [R, F] [R', B] ]
{{Alg|F R U' R' F D R' B' R' B R2 D' F2|Alg.12|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|Alg.12(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [F R: (U')] [F2 D R2: [R, B'] ]
{{Alg|R' U' R2 U' L U2 R' U R U2 L' R' U R' U R|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U' R' U2 R' D R2 U' R U R2 U' D' R U' R U (z')|Alg.13(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.13) = [R' U' R2: [U' L U2 R': (U)] [U', R'] ]
{{Alg|F R F' U' F R' F' R B' R2 B R' U' R2 U|Alg.14|cube=3x3x3&stage=PLL}}
{{Alg|(y) r U r' U' r U' r' (y') l U' R2 U l' U' R2|Alg.14(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.14) = [F R F': (U')] [R: [B', R2] ] [R2, U']

 {{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

PLL

2015-01-10T03:01:08Z

Aussie: /* J Permutation : b */

{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[LL:EO+CO cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=LL:EO+CO cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''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. If you like, 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}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

== External links ==

* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognising PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

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

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.1(v3)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=QA5DZnPYVzE}}
{{Alg|(y’) L U F L' U' L U L F' L2 U L U L' U' L U' L'|Alg.1(v4)|cube=3x3x3$stage=PLL}}
Decomposition(Alg.1) = [R', U] [R2: [F', U'] [R, F] ] (U')
{{Alg|L' U2 L' U' F' L' F2 U' F' U F' L F U' L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
Decomposition(Alg.2) = [L' U: [U: (L')] [F' L' F: [F, U'] ] ]
{{Alg|L B2 F' D2 B R' B' D2 F2 L' F' L B2 L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
Decomposition(Alg.3) = [L B2: [F' D2 B: (R')] [F, L'] ]
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [B' U': [R': [B, U] [B', R] ] [B U' B': (U')] ]
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L, U'] [L2: [F, U] [L', F'] ] (U)
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [R' U': [R' U2 L U': [U, L' U2 R] [U' R' U': (R')] ] ]
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|Alg.7|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [L2: [L', U2] [R': [U L U: (L)] [U', R] ] [U, L'] ]
{{Alg|L R' F2 R' D L' F2 R U' L2 R B2 L2 U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L R': [F2 R': (D)] [F2, L' R'] ] [R', U'] [U' L2: B2]
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(r U R' U') (z) U' (l' U2 r' U') (r U2 l' U R2) (x)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [F2 R': [R, F2 L F] [F D2 B': (L')] ]
{{Alg|R B2 D B2 R' B' R B' D2 F L' F' D B2 R'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y x) U R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (x')|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [R B2 D: [B2: [R', B'] ] [D2 F: (L')] ]
{{Alg|B U B' U B U2 B2 U' B U' B' U2 B U F R B' R' F' R B R'|Alg.11|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U R' U R U2 R2) (U' R U' R' U2 R) U (r U R' U' r' F R F')|Alg.11(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [B: (U)] [U': [U2, B] [B', U'] [U2, B'] ] [F, R B' R']
{{Alg|F2 B2 D F2 B2 R U R' U' R' F R2 U' R' U' R U R' F B2 D' F2 B2|Alg.12|cube=3x3x3&stage=PLL}}
{{Alg|(y) M2 U M2 (y') (R U R' U' R' F R2 U' R' U' R U R' F') (y) M2 U' M2|Alg.12(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [F2 B2 D B2 F': [F': [R, U] [R', F] ] [R U' R': (U')] ]
{{Alg|R U' F R F' U F' U' F2 R' F' U' R' U2 R'|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y) F U' r U r' U r' F' r2 U' r' U' F' U2 F'|Alg.13(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.13) = [R U': [F R F': [U, F'] ] [U': (R')] ]

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u R' U R' U' R u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U R' U R' U' R U' R2 D U' R' U R D'|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|R U R' U' R' U F R U R U' R' F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R F' L' F U R' U' F' L F' L'|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}
{{Alg|(y) F' U' F R2 u R' U R U' R u' R2'|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u R' U R U' R u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u' R U' R U R' u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' (y') R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) L U2 L' U F' L' U' L U L F U L' U' L' U L|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|B' U F' U2 B U' B' U2 F B U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 R L|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B' U: [F' U2 B: (U')] [B, U'] ]
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R2 u' R' u R2 (x' y') R' U R' U' l2'|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 r' U' r U2 l' U R' U' l2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) l2 U R U' l U2 r' U r U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [B2 R': (U')] [L': [D, L'] ]
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L' R': [R, U] [U' L U', R] (U) [U, L] ]
{{Alg|L' U' L F L' U' L U L F' L2 U L U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [L' U' L F: [L', U'] [L, F'] ] (U)
{{Alg|B2 R2 U' R2 D B2 D' B2 U B2 U'|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [B2: [R2: (U')] [D, B2] [U, B2] ]
{{Alg|B2 U' D B2 U' B2 U B2 D' B2 U B2 U'|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2'|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D B2: [B2, D'] (U') [B2, U'] ] [B2, U]
{{Alg|L' U2 L U L' U2 R U' L U R'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
Decomposition(Alg.7) = [L': [U2 L: (U)] [R: [U', L]] ]
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R|Alg.8(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' d2 R U R' d2 R U' L|Alg.8(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U' D' R2 U R U' R2 (z') R U' L|Alg.8(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 L R|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L': [R' U2 L: (U)] [U', L] ]
{{Alg|B U' L' B L2 U' L' U' L U L' B' L U L' B'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R' F R2 U' R' U' R U R' F' R U R' F'|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [B L U' L' B: [B' L U, L'] [L, U'] (U') [U', L] ]
{{Alg|B' U B' R2 F D' F D F2 R2 B2|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U l' U2 r U' L U r2 F2 R2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [B2: [B: (U)] [R2 F: [D', F] ] ]

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|B U' F U2 B' U B U2 F' B' U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' R U2 L' U L U2 R' L'|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L U2 R' U R U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 D' U' (z)|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.2|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B U': [F U2 B': (U)] [B', U] ]
{{Alg|B2 L U L' B2 R D' R D R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 R U R' F2 L D' L D L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 R U R' b2 R U' R U l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) L U' L U r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r U' L U r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) r2 U' L' U r' U2 l U' l' U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [B2 L: (U)] [R: [D', R] ]
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L R: [L', U'] [U R' U, L'] (U') [U', R'] ]
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R U R' F': [R, U] [R', F]] (U')
{{Alg|B2 L2 U L2 D' B2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|B2 L2 U L2 u' L2 D L2 U' L2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [B2: [L2: (U)] [D', B2] [U', B2] ]
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L U2' R' U L' U' R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2' L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z') D' L U L' D L' (L' U' L U) L2' U' (z)|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U L U' R U2 L' U L U2 L'|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R: [U2 R': (U')] [L': [U, R'] ] ]
{{Alg|L R U2 R' U' R U2 L' U R' U'|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R L U2 L' U' L U2 R' U L'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L R d2 L' U' L d2 L' U R'|Alg.8(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(z') U D L2 U' L' U L2 (z) L' U R'|Alg.8(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L U2 R' U R U2 R' L'|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 U' D' (z)|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R: [L U2 R': (U')] [U, R'] ]
{{Alg|B' U R B' R2 U R U R' U' R B R' U' R B|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F' U L F' L2 U L U L' U' L F L' U' L F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [B' R' U R B': [B R' U', R] [R', U] (U) [U, R'] ]
{{Alg|B U' B L2 F' D F' D' F2 L2 B2|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [B2: [B': (U')] [L2 F': [D, F'] ] ]
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.11|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(L U' R U2 L' U R')2 U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L R: [R', U'] [U2: [U': [L', U] ] [R', U'] ] [U', L'] ] (U')
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(L U' L F') L' F (L' U L) F U' (F' L' U' L U) L'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [L U': [L' U L F: (U)] [F', L] ]
{{Alg|R U' R' U R B U B' R' U' R B' R B R' U R'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R U': [R' U R B: (U)] [B', R] ]
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R' U R2 B2 U R': B2] (U')
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F' R U, R'] [R F U' R': (U')]
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|Alg.6|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=pnnb2rgLRuU}}
Decompositon(Alg.6) = [R U R': [U2: [U', R] [F' R U, R'] [R, U'] ] (U')]
{{Alg|R U R' B U B' R' B U B' U' B' R B2 U' B' U' R U' R'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R U R': [B U B' R': [B, U] [B', R]] (U')]
{{Alg|L2 U2 L' U2 F2 L2 F2 L F2 U2 L2 U2 L F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L: [L, U2] [F2, L2] ] [F2: [U2, L2] (L')]
{{Alg|R U R' U' L U2 L' U' L U2 R' U L' U' R U R U' R'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(R U R' U') L U2 L' U' L (z') L2 U' L D' L' U (L U L' U') (z)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R U R' U': [L: [U2 L': (U')] [R' U, L'] ] ]
{{Alg|L' U L2 F2 U L' F2 L U' F2 L2 U' L U'|Alg.10|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L' U L2 F2 U L': F2] (U')
{{Alg|L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [L2 U F2: [F2, U'] [U, F2] [L2, U2] [U, F2] ] (U')
{{Alg|(L U L' U) (R' U L U') R U2 (L' U L U2) L' (U' L U' L')|Alg.12|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [L U L' U: [L: [R': [L', U] ] [U2 L': (U)] ] ]

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z') L (U' L D' L2 U L' D)2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(L' U R' U2' L U' R)2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U' R D' R2 U R' U' (z') R U R' (z) R2 U R' (z') R|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L' R': [L, U] [U2: [U: [R, U'] ] [L, U] ] [U, R] ] (U)
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L U L' U' F' L' F U L U' F U' F' U L' U (z)|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(R' U R' F) R F' (R U' R') F' U (F R U R' U') R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R' U: [R U' R' F': (U')] [F, R'] ]
{{Alg|L' U L U' L' B' U' B L U L' B L' B' L U' L|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L' U: [L U' L' B': (U')] [B, L'] ]
{{Alg|L U' L2 B2 U' L B2 L' U B2 L2 U L' U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [L U' L2 B2 U' L: B2] (U)
{{Alg|F L' U' L U L F' L2 F' U L U L' U' F L|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F L' U', L] [L' F' U L: (U)]
{{Alg|L' U' L U' (L' U' L F L' U' L U L F' L2 U L) U2 L' U L|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [L' U' L: [U2: [U, L'] [F L' U', L] [L', U] ] (U)]
{{Alg|L' U' L B' U' B L B' U' B U B L' B2 U B U L' U L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R (y) (L' U' L F L' U' L U L F' L2 U L) (y) U L' U L|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [L' U' L: [B' U' B L: [B', U'] [B, L']] (U)]
{{Alg|R2 U2 R U2 F2 R2 F2 R' F2 U2 R2 U2 R' F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(z') U2 L2 U L2 (y) L2 U2 L2 U' L2 (y') L2 U2 L2 d' L2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R': [R', U2] [F2, R2] ] [F2: [U2, R2] (R)]
{{Alg|L' U' L U R' U2 R U R' U2 L U' R U L' U' L' U L|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(L' U' L U) R' U2' R U R' (z) R2 U R' D R U' (R' U' R U) (z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [L' U' L U: [R': [U2 R: (U)] [L U', R] ] ]
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|Alg.10|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [R U' R2 F2 U' R: F2] (U)
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R2 U' F2: [F2, U] [U', F2] [R2, U2] [U', F2] ] (U)
{{Alg|(R' U' R U') (L U' R' U) L' U2 (R U' R' U2) R (U R' U R)|Alg.12|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [R' U' R U': [R': [L: [R, U'] ] [U2 R: (U')] ] ]

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|Alg.1(v8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|Alg.1(v9)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U2] [R B' R', U' R U] [U' R: (U)]
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R U': [R F2 U R U: (R)] [R', U] ]
{{Alg|F U F' L' F U2 F' U2 F' L F U F U2 F' U'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [F U F' L' F U2, F'] [U2, F] (U')
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R: [U2 R' U2, U R' F' R] ] (U)
{{Alg|L' U' L U2 L U2 R' L2 U L U' L R U2 L' U2|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R' U2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L': (U')] [U2, L] [R': [L', U] ] [L, U2]
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [U' R: [R', U] [U', R D R'] [U' R': (U)] ]
{{Alg|F U' F' U' F U F D F' U' F D' F' U2 F' U'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [F: [U' F': (U')] [F D F', U'] [U, F'] ]
{{Alg|B' L' U' L B' L' U B' U' B' U B L B2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [B2 L': [L B L', U'] [B' U': (B')] ]
{{Alg|R U2 R' U B L' B' R B L B' U R' U|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U (y) R B' R' F R B R' (z x) R U' (x' z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R U' R': [R, U'] [B L' B', R] ] (U)
{{Alg|L U2 L2 B L B' L U2 L' F' L' U L U L' U' L F|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U2 l' R' U R U' l U2 R' B' R' U R U R' U' R B|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L U2 L': [L', B] ] [F' L': [U L: (U)] ]
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R U2: [R D R', U] [R', U] ] (U)

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U)' l' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
{{Alg|B2 R B U B U' B' R' B U2 B' U2 B|Alg.1(v7)|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|Alg.1(v8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|Alg.1(v9)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R', U2] [R' F R, U R' U'] [U R': (U')]
{{Alg|B2 L2 U' B' U' B U B U L2 B U' B U|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' B2 U' R' U' R' U R U B2 R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 B2 U' R' U' R U R U B2 R U' R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R' U: [R' B2 U' R' U': (R')] [R, U'] ]
{{Alg|B' U' B L B' U2 B U2 B L' B' U' B' U2 B U|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' R B R' U2 R U2 R B' R' U' R' U2 R|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [B' U' B L B' U2, B] [U2, B'] (U)
{{Alg|R' U2 R U R B R' U2 R' U2 R B' R' U R U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R': [U2 R U2, U' R B R'] ] (U')
{{Alg|L U L' U2 L' U2 R L2 U' L' U L' R' U2 L U2|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U R' U2 R' U2 L R2 U' R' U R' L' U2 R|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L: (U)] [U2, L'] [R: [L, U'] ] [L', U2]
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [U R': [R, U'] [U, R' D' R] [U R: (U')] ]
{{Alg|B' U B U B' U' B' D' B U B' D B U2 B U|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U R U R' U' R' D' R U R' D R U2 R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [B': [U B: (U)] [B' D' B, U] [U', B] ]
{{Alg|F L U L' F L U' F U F U' F' L' F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y' x) R U B U' R U (x') U' R U R U' R' F' R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [F2 L: [L' F' L, U] [F U: (F)] ]
{{Alg|R' U2 R U' F' L F R' F' L' F U' R U'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U' (y') R' F R B' R' F' R (z x') R' U (x z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R' U R: [R', U] [F' L F, R'] ] (U')
{{Alg|L' U2 L2 F' L' F L' U2 L B L U' L' U' L U L' B'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L' U2 L: [L, F'] ] [B L: [U' L': (U')] ]
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R' U2: [R' D' R, U'] [R, U'] ] (U')

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|Alg.1(v2):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) B L U' L' U L U L2 B' L U L U' L'|Alg.1(v3):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U] [F: [F', R'] [R U' R': (U')] ]
{{Alg|R' U' R U R B' R2 U R U R' U' R B|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|Alg.2(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R', U'] [B': [B, R] [R' U R: (U)] ]
{{Alg|R2 U R2 U' R2' U' D R2 U' R2' U R2 D'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2, U] [D R2: [R2, D'] [U' R2: (U')] ]
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|Alg.4(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [U': [U, R2] [B2 D: [D', B2] [L2: (U)] ] ]
{{Alg|R2 D' F2 U F2 R2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [R2 D' F2: (U)] [R2, D'] [B2, U']
{{Alg|R2 D' F2 D R2 B2 D L2 D' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 (z')|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [R2 D': F2] [B2 D: L2] (U)
{{Alg|R U R' U' R2 D R' U' R' U' R U R2 D' R|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R, U] [R' D R': [R, D'] [R' U' R': (U')] ]
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|Alg.8|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R2: [U, R2] [F2: (U')] [D, R2] ]
{{Alg|F' U F' L2 B D' B' L2 F2 U' S' U2 S U2|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|y' L U' r U2 l' U l U2 x r2' (U M U2 M')|Alg.9(v1):Mirr(Alg9)|cube=3x3x3&stage=PLL}}
{{Alg|y x r' U r' d2 r U' r' d2 r2 x' U' M' U2 M|Alg.9(v2)|vidurl=https://www.youtube.com/watch?v=pe2d2ZpYNco}}
Decomposition(Alg.9) = [F', U] [U F2 L2 B: (D')] [S', U2]

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' (y) U' R' F' R2 U' R' U R' F R F|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|Alg.1(v6)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R2: [R, U] [B': (R')] [B, U'] [B', R] ]
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|Alg.2(v5)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R2: [R, U] [B': [D, B'] [B: (R')] ] [B', R] ]
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R', U2] [L U' R' U L': (U)]
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R2: [U', B2] [R D': (R)] [U, R] ]
{{Alg|F' U B U' F U F' U B' U' F U2 B U2 B'|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) r' F R F' r U r' F R' F' r U2 R U2 R'|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|Alg.5(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' (z')|Alg.5(v5)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F' U B U' F: (U)] [U2, B]
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [L U' R' U L': (U')] [U2, R']
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|Alg.7|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [U: [U': (R)] [D: [D', U R'] [R: [U', R] ] [D: [R', U']] ] ]
{{Alg|(y) R U' R U (y) L D' L D L2 (y') R F R' F' R'|Alg.8|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|Alg.1|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
Decomposition(Alg.1) = [F R U' R': (U')] [R, U] [R', F]
{{Alg|R' U' R F2 R' U R U F2 U' F2 U' F2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [F2: [F2, R' U' R] [U F2: (U')] ]
{{Alg|R2 U' R2 U' R2 U F U F' R2 F U' F'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|Alg.3(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2: [U' R2: (U')] [F U F', R2] ]
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [F2: [D R2: (U)] [R' U' R, F2] ]
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F2: [F', R'] [R U' R': (U')] [F': [R, U] ] ]
{{Alg|F R' F' R U R U' R2 U' R U R B' R' B U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U (x)|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [F, R'] [U, R] [R', U'] [R, B'] (U)
{{Alg|F R U' R' U' R U F U F' R' F U' F2|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [F: [R, U'] [U2, R] [R: [U', F] ] [F: (U')] ]
{{Alg|R' F R F' U' F' U F2 U F' U' F' L F L' U'|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|R' F R F' (y') U' R' U R2 U R' U' R' F R F'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R', F] [U', F'] [F, U] [F', L] (U')
{{Alg|R' F' U F U F' U' F R F' U' F U F R' F' R|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R' F' U F: (U)] [F', U'] [F, R']
{{Alg|F2 U F U' F' U L F R' F R F L' F'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [F2: [U, F] (U) [L F: [R', F] ] [L, F'] ]
{{Alg|R2 U' R' U R U' B' R' F R' F' R' B R|Alg.11|cube=3x3x3&stage=PLL}}
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|Alg.11(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|Alg.11(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R: [R, U'] [R: (U')] ] [R2, B'] [B': [R, F] [R', B] ]
{{Alg|F R U' R' F D R' B' R' B R2 D' F2|Alg.12|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|Alg.12(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [F R: (U')] [F2 D R2: [R, B'] ]
{{Alg|R' U' R2 U' L U2 R' U R U2 L' R' U R' U R|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U' R' U2 R' D R2 U' R U R2 U' D' R U' R U (z')|Alg.13(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.13) = [R' U' R2: [U' L U2 R': (U)] [U', R'] ]
{{Alg|F R F' U' F R' F' R B' R2 B R' U' R2 U|Alg.14|cube=3x3x3&stage=PLL}}
{{Alg|(y) r U r' U' r U' r' (y') l U' R2 U l' U' R2|Alg.14(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.14) = [F R F': (U')] [R: [B', R2] ] [R2, U']

 {{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

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