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OLL

2013-01-27T07:50:46Z

Omer: /* OLL 14 */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''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 ==
* [[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}}

=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}}

=== 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}}

|

=== 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 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 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}}

=== OLL 19 ===
{{case
|image=o19.gif
|name= Bunny
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' R' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}
{{Alg|y2 M' U' R' U' R U r' R2 B' R' 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}}
|

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

|}

=="L" shapes==
{|border="0" width="100%" valign="top" 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 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}}
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}

|}

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

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces
|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
|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|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
|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}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name= bottlecap
|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}}

|

=== 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}}

|}

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

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS)
|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)
|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}}

|

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

|-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|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|y F R U' R' U' R U R' F'|OLL}}
{{Alg|y R' F R F' U' F' U F|OLL}}
{{Alg|y R' F R F' y' U' R' U R|OLL}}
{{Alg|y F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}
{{Alg|R U R' F' U F 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|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top" 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|(y2) (L F' L' F) L' U2 L d (R U R')|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|R B' R' B R' U2 R U (y) R U 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=
|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=
|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|(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|y2 M' U M U2 M' U M|OLL}}
{{Alg|y' M U M2 U M' U2 M U M |OLL}}
{{Alg|M U M U M' U' M U' M U M |OLL}}
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}
{{Alg|y M U' M U' M' U M U M U' M |OLL}}
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}
{{Alg|y' M U M' U M U M' U M U M' |OLL}}
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}
{{Alg|R' F R S R' F' R S' |OLL}}
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}
{{Alg|y L F' L' S' L F L'S |OLL}}
{{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}}

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

__NOTOC__

OLL

2013-01-27T07:37:29Z

Omer: /* OLL 13 */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''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 ==
* [[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}}

=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}}

=== 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}}

|

=== 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 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 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}}

=== OLL 19 ===
{{case
|image=o19.gif
|name= Bunny
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' R' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}
{{Alg|y2 M' U' R' U' R U r' R2 B' R' 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}}
|

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

|}

=="L" shapes==
{|border="0" width="100%" valign="top" 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 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}}
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}

|}

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

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces
|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
|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|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
|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}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name= bottlecap
|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}}

|

=== 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}}

|}

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

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS)
|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)
|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}}

|

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

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

|-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|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top" 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|(y2) (L F' L' F) L' U2 L d (R U R')|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|R B' R' B R' U2 R U (y) R U 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=
|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=
|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|(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|y2 M' U M U2 M' U M|OLL}}
{{Alg|y' M U M2 U M' U2 M U M |OLL}}
{{Alg|M U M U M' U' M U' M U M |OLL}}
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}
{{Alg|y M U' M U' M' U M U M U' M |OLL}}
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}
{{Alg|y' M U M' U M U M' U M U M' |OLL}}
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}
{{Alg|R' F R S R' F' R S' |OLL}}
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}
{{Alg|y L F' L' S' L F L'S |OLL}}
{{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}}

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

__NOTOC__

PLL

2013-01-18T14:09:02Z

Omer: /* G Permutation : c */ Removed the last algorithm, it didn't belong there. It was a different G perm.

{{Method Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].

{{PLL}}
== 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 ==

* [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

=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(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=QA5DZnPYVzE}}
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 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|R U R' U' R' U F R U R U' R' F' U R' U2 R|PLL}}
{{Alg|R U R' (y') R2 u' R U' R' U R' u R2|PLL|vidurl=http://www.youtube.com/watch?v=5B6LcVcLdN0}}

===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 u' R U' R U R' u R2 (y) R U' R'|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}}

===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' F (y') R 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) L U' R U2 L' U R' (y') L' R' U2 L R|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|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a
|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}}
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'] ] ]

===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|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'|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'|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] ]

===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']] ] ]

===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__

Template:Z-PLL

2012-12-14T22:42:30Z

Omer: /* Z Permutation */

===Z Permutation===
{{case
|image=z.gif
|name=Z-PLL
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
|optimal=12 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|M2' U M2' U M' U2 M2' U2 M'|PLL}}
{{Alg|(y) M2' U' M2' U' M' U2' M2' U2' M'|PLL}}
{{Alg|M2' U2 M' U' M2' U' M2' U' M'|PLL}}
{{Alg|(y) M2' U2 M' U M2' U M2' U M'|PLL}}
{{Alg|M' U' M2' U' M2' U' M' U2 M2'|PLL}}
{{Alg|(y) M' U M2' U M2' U M' U2 M2'|PLL}}
{{Alg|M' U2 M2 U2 M' U' M2 U' M2 U2|PLL}}
{{Alg|M2' U M2' U' E2 M' E2 M'|PLL}}
{{Alg|(y) M2' U' M2' U E2 M' E2 M'|PLL}}
{{Alg|M2' U M' E2 M' E2 U' M2'|PLL}}
{{Alg|R' U' R U' R U R U' R' U R U R2 U' R'|PLL}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R'|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R U R' U R' U' R' U R U' R' U' R2 U R|PLL}}
{{Alg|(y) R U R2 U' R' U' R U R' U' R' U R' U R|PLL}}
{{Alg|(x') R U' R' (U D) R' (D U') R' U R D2' (x)|PLL}}
{{Alg|M2' D S2 D' S' M2' S|PLL}}
{{Alg|M2' u M2' D' M S2 M'|PLL}}
{{Alg|(y) F2 M2' F2 M2' U M2' U M2' U2|PLL}}
{{Alg|(y) M2' U (F2 M2' F2 M2') U' M2'|PLL}}
{{Alg|(y) R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L|PLL}}
{{Alg|R2 U' R2 U R2 (x') U2 R2 F U2 F' R2 U2 (x)|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2 (x')|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|R' U' R' F R F' U R U' R' U' F' U F R|PLL}}

Talk:Speffz

2012-12-13T15:48:51Z

Omer: Created page with " == Adding examples == Should I add an animation showing the lettering scheme on a 3x3x3? It's a nice 3D one. -omer"

== Adding examples ==

Should I add an animation showing the lettering scheme on a 3x3x3? It's a nice 3D one. -omer