Speedsolving.com Wiki - User contributions [en]

PBL

2014-07-04T14:34:28Z

Shadowkiller168: Added another algorithm. Although, the algorithm is VERY similar to the ones that are already there, so it may not really be needed.

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

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

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

[[Image:PBL1.gif]]
* y' x U2 R' U' R U2 L' U R' U' R2
* R' F R' B2 R F' R' B2 R2 ([[PLL#A_Permutation_:_a|A Permutation]])
* U' x' R2 U2 R' U' R U2 L' U R'
* y' R2 F2 R' U' R F2 R' U R'
* y' (U') R' U L' U2 R U' R' U2 R L
* y' R U R' U' R' F R2 U' R' U' R U R' F' ([[PLL#T_Permutation_:_t|T Permutation]])
* R U2 R' U' R U2 L' U R' U' L'
</td>

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

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

</tr>
<tr>

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

* R2' F2 R2
* R2 B2 R2'
* (R L) U2 (R' L')
</td>

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

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

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

</tr>
</table>

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

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

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

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

[[Category:Acronyms]]
__NOTOC__
__NOEDITSECTION__

OLL

2014-07-03T15:06:16Z

Shadowkiller168: /* OLL 9 */

{{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 ==
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?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}}

=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 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}}

=== 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}}
|}

=="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' (' 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}}

|}

=="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}}

|}

==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}}

|-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|(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

2014-07-03T15:05:15Z

Shadowkiller168: /* OLL 10 */

{{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 ==
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?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}}

=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 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}}

=== 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}}
|}

=="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' (' 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}}

|}

=="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}}

|}

==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}}

|-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|(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__

Marcin Kowalczyk

2014-06-10T06:03:37Z

Shadowkiller168: Marcin Maskow Kowalczyk's page is grossly outdated.

{{Infobox
|NAME=Marcin Kowalczyk
|IMAGE=Marcin Kowalczyk.jpg
|IMAGEYEAR=!
|ALIASES=Maskow
|COUNTRY=Poland
|BIRTHDATE=
|AGE=
|JOBS=
|YEARSACTIVE=2011-present
|ID=2011KOWA01
|FAMOUSFOR=multi-BLD WR
}}

'''Marcin Kowalczyk''' is a [[Poland|Polish]] speedcuber specializing in blindfolded cubing.

Marcin set the [[List of World Records/Multi-BLD|multi-blind world record]] of 41/41 in September, 2013, at SLS Świerklany 2013.

== External links ==
* [http://www.speedsolving.com/forum/member.php?15405-Maskow Marcin Kowalczyk's Speedsolving.com profile]
* [http://www.youtube.com/user/DarkMaskow Marcin Kowalczyk's YouTube channel]
* [http://www.speedsolving.com/forum/showthread.php?44169-WR-Maskow-MBLD-35-35 35/35 MBLD WR]
* [http://www.speedsolving.com/forum/showthread.php?39100-Bye-) Bye ;)]
* [http://www.speedsolving.com/forum/showthread.php?38420-Maskow-in-Polish-Got-Talent Maskow in Polish Got Talent]
* [https://www.youtube.com/watch?v=oU2tKYvDH2g]

[[Category:World record holders|Kowalczyk, Marcin]]
[[Category:Blindfold cubers|Kowalczyk, Marcin]]
[[Category:MultiBLD solvers|Kowalczyk, Marcin]]
[[Category:Speedcubers|Kowalczyk, Marcin]]
[[Category:Cubers|Kowalczyk, Marcin]]

Feliks Zemdegs

2014-06-01T05:06:51Z

Shadowkiller168: /* World Records */ Feliks' 5x5 WR Single is faster than 51 seconds.

{{Infobox
|NAME=Feliks Zemdegs
|IMAGE=FeliksZemdegs.jpg
|IMAGEYEAR=
|ALIASES=faz
|COUNTRY=Australia
|BIRTHDATE=20 December 1995
|AGE=17
|JOBS=Student
|YEARSACTIVE=2009-present
|ID=2009ZEMD01
|FAMOUSFOR=2x2, 3x3, 4x4, 5x5, 6x6, 3x3OH and 4x4BLD WRs
}}

'''Feliks Zemdegs''' is an [[Australia]]n speedcuber from Melbourne, Australia. He is the current world record holder for 3x3 average and 5x5 single and average. He is widely considered to be the most successful competitive cuber in history. Even though he is fast, Feliks is starting to lose world records, because he got very quick before anyone else, now other people are catching up to him, like [[Mats Valk]], that broke his 3x3 single(5.55), Sebastian Weyer, that broke his 4x4 average(29.17), and Christopher Olson, that broke his 2x2 average(2.02).
== Style ==
Feliks is a color-neutral CFOP user. His meteoric rise in 2009, together with [[Rowe Hessler]]'s earlier success, were the catalysts for the current popularity of [[Color neutrality]] in 3x3 speedsolving. (Also, str8baq) For the 2x2 cube, he uses CLL.

== Achievements ==
=== Milestones ===
Feliks was the first cuber to achieve the following milestones:

=== Official ===
* 3x3 speedsolve average: sub-10, sub-9, sub-8, sub-7
* 3x3 speedsolve single: sub-7, sub-6
* 4x4 speedsolve average: sub-40, sub-35
* 4x4 speedsolve single: sub-35 (in fact almost sub-30)
* 5x5 speedsolve sub-1min average of 5
* 5x5 speedsolve single: sub-1:00
* 3x3 one-handed average: sub-15, sub-15

=== World Records ===
Feliks currently holds 5 world records; 2 single records and 3 average records.

'''Single'''
*3x3x3 One-Handed: 9.03
*5x5x5 cube: 50.50

'''Average'''
*3x3x3 Cube: 6.54
*5x5x5 Cube: 57.64
*7x7x7 Cube: 2:52.09

=== Titles ===
{{S-start}}

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

{{S-title-bef| before=[[Michał Pleskowicz]] | year=2011 }}
{{S-title| title=3x3 Speedsolve World Champion | year=2013 }}
{{S-inc}}

{{S-title-bef| before=[[Rowe Hessler]] | year=2009 }}
{{S-title| title=2x2 Speedsolve World Champion | year=2011 }}
{{S-title-aft | after=[[Cameron Stollery]] | year=2013}}

{{S-title-bef| before=[[Syuhei Omura]] | year=2009 }}
{{S-title| title=4x4 Speedsolve World Champion | year=2011,2013 }}
{{S-inc}}

{{S-title-bef| before=[[Dan Cohen]] | year=2009 }}
{{S-title| title=5x5 Speedsolve World Champion | year=2011 }}
{{S-title-aft | after=[[Kevin Hays]] | year=2013}}

{{S-title-bef| before=[[Arifumi Fushimi]] | year=2011 }}
{{S-title| title=3x3 OH World Champion | year=2013 }}
{{S-inc}}

{{S-title-bef| before=[[Dan Cohen]] | year=2009 }}
{{S-title| title=6x6 Speedsolve World Champion | year=2011 }}
{{S-title-aft | after=[[Kevin Hays]] | year=2013}}

{{S-end}}

== See also ==
* [[Color neutrality]]

== External links ==
* [http://en.wikipedia.org/wiki/Feliks_Zemdegs Wikipedia entry for Feliks Zemdegs]
* [http://www.youtube.com/user/fazrulz1 Feliks Zemdegs's YouTube channel]
* [http://www.cubecastpodcast.com/episodes/ CubeCast Podcast: Episode 02 - Feliks Zemdegs]
* [http://www.speedsolving.com/forum/showthread.php?34267-7.34-avg-12 7.34 avg 12]
=== Interviews ===
* [http://www.speedsolving.com/forum/entry.php?23-The-Faztest The Faztest]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?24929 Interview with Feliks Zemdegs]
* [http://www.speedsolving.com/forum/entry.php?21-Interview-with-Jessica-Fridrich-and-Zbigniew-Zborowski-about-Feliks-Zemdegs Interview with Jessica Fridrich and Zbigniew Zborowski about Feliks Zemdegs]
* [http://www.youtube.com/watch?v=mgbNYznXxEE Feliks Zemdegs Exclusive Interview - Rubik's Cube record holder]

=== Tribute Videos ===
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35848-video-My-name-is-Feliks-Zemdegs (video) My name is Feliks Zemdegs]
* Youtube.com: [http://www.youtube.com/watch?v=aWRVUWEaOQo My name is Feliks Zemdegs]

[[Category:World record holders|Zemdegs, Feliks]]
[[Category:World champions|Zemdegs, Feliks]]
[[Category:Big Cube solvers|Zemdegs, Feliks]]
[[Category:OH cubers|Zemdegs, Feliks]]
[[Category:3x3x3 solvers|Zemdegs, Feliks]]
[[Category:4x4x4 solvers|Zemdegs, Feliks]]
[[Category:Speedcubers|Zemdegs, Feliks]]
[[Category:Cubers|Zemdegs, Feliks]]

OLL

2014-06-01T02:33:59Z

Shadowkiller168: /* OLL 40 */

{{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 ==
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?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}}

=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 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}}

=== 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}}
|}

=="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' (' 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}}

|}

=="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}}

|}

==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}}

|-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|(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

2014-06-01T02:32:42Z

Shadowkiller168: /* OLL 48 */

{{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 ==
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?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}}

=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 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}}

=== 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}}
|}

=="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' (' 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}}

|}

=="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}}

|}

==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}}

|-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|(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__

Feliks Zemdegs

2014-05-18T03:13:53Z

Shadowkiller168: /* World Records */ Feliks no longer has the 3x3 single, but he does have the OH single and 7x7 Average

{{Infobox
|NAME=Feliks Zemdegs
|IMAGE=FeliksZemdegs.jpg
|IMAGEYEAR=
|ALIASES=faz
|COUNTRY=Australia
|BIRTHDATE=20 December 1995
|AGE=17
|JOBS=Student
|YEARSACTIVE=2009-present
|ID=2009ZEMD01
|FAMOUSFOR=2x2, 3x3, 4x4, 5x5, 6x6, 3x3OH and 4x4BLD WRs
}}

'''Feliks Zemdegs''' is an [[Australia]]n speedcuber from Melbourne, Australia. He is the current world record holder for 3x3 average and 5x5 single and average. He is widely considered to be the most successful competitive cuber in history. Even though he is fast, Feliks is starting to lose world records, because he got very quick before anyone else, now other people are catching up to him, like [[Mats Valk]], that broke his 3x3 single(5.55), Sebastian Weyer, that broke his 4x4 average(29.17), and Christopher Olson, that broke his 2x2 average(2.02).
== Style ==
Feliks is a color-neutral CFOP user. His meteoric rise in 2009, together with [[Rowe Hessler]]'s earlier success, were the catalysts for the current popularity of [[Color neutrality]] in 3x3 speedsolving. (Also, str8baq) For the 2x2 cube, he uses CLL.

== Achievements ==
=== Milestones ===
Feliks was the first cuber to achieve the following milestones:

=== Official ===
* 3x3 speedsolve average: sub-10, sub-9, sub-8, sub-7
* 3x3 speedsolve single: sub-7, sub-6
* 4x4 speedsolve average: sub-40, sub-35
* 4x4 speedsolve single: sub-35 (in fact almost sub-30)
* 5x5 speedsolve sub-1min average of 5
* 5x5 speedsolve single: sub-1:00
* 3x3 one-handed average: sub-15, sub-15

=== World Records ===
Feliks currently holds 5 world records; 2 single records and 3 average records.

'''Single'''
*3x3x3 One-Handed: 9.03
*5x5x5 cube: 51.09

'''Average'''
*3x3x3 Cube: 6.54
*5x5x5 Cube: 57.64
*7x7x7 Cube: 2:52.09

=== Titles ===
{{S-start}}

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

{{S-title-bef| before=[[Michał Pleskowicz]] | year=2011 }}
{{S-title| title=3x3 Speedsolve World Champion | year=2013 }}
{{S-inc}}

{{S-title-bef| before=[[Rowe Hessler]] | year=2009 }}
{{S-title| title=2x2 Speedsolve World Champion | year=2011 }}
{{S-title-aft | after=[[Cameron Stollery]] | year=2013}}

{{S-title-bef| before=[[Syuhei Omura]] | year=2009 }}
{{S-title| title=4x4 Speedsolve World Champion | year=2011,2013 }}
{{S-inc}}

{{S-title-bef| before=[[Dan Cohen]] | year=2009 }}
{{S-title| title=5x5 Speedsolve World Champion | year=2011 }}
{{S-title-aft | after=[[Kevin Hays]] | year=2013}}

{{S-title-bef| before=[[Arifumi Fushimi]] | year=2011 }}
{{S-title| title=3x3 OH World Champion | year=2013 }}
{{S-inc}}

{{S-title-bef| before=[[Dan Cohen]] | year=2009 }}
{{S-title| title=6x6 Speedsolve World Champion | year=2011 }}
{{S-title-aft | after=[[Kevin Hays]] | year=2013}}

{{S-end}}

== See also ==
* [[Color neutrality]]

== External links ==
* [http://en.wikipedia.org/wiki/Feliks_Zemdegs Wikipedia entry for Feliks Zemdegs]
* [http://www.youtube.com/user/fazrulz1 Feliks Zemdegs's YouTube channel]
* [http://www.cubecastpodcast.com/episodes/ CubeCast Podcast: Episode 02 - Feliks Zemdegs]
* [http://www.speedsolving.com/forum/showthread.php?34267-7.34-avg-12 7.34 avg 12]
=== Interviews ===
* [http://www.speedsolving.com/forum/entry.php?23-The-Faztest The Faztest]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?24929 Interview with Feliks Zemdegs]
* [http://www.speedsolving.com/forum/entry.php?21-Interview-with-Jessica-Fridrich-and-Zbigniew-Zborowski-about-Feliks-Zemdegs Interview with Jessica Fridrich and Zbigniew Zborowski about Feliks Zemdegs]
* [http://www.youtube.com/watch?v=mgbNYznXxEE Feliks Zemdegs Exclusive Interview - Rubik's Cube record holder]

=== Tribute Videos ===
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35848-video-My-name-is-Feliks-Zemdegs (video) My name is Feliks Zemdegs]
* Youtube.com: [http://www.youtube.com/watch?v=aWRVUWEaOQo My name is Feliks Zemdegs]

[[Category:World record holders|Zemdegs, Feliks]]
[[Category:World champions|Zemdegs, Feliks]]
[[Category:Big Cube solvers|Zemdegs, Feliks]]
[[Category:OH cubers|Zemdegs, Feliks]]
[[Category:3x3x3 solvers|Zemdegs, Feliks]]
[[Category:4x4x4 solvers|Zemdegs, Feliks]]
[[Category:Speedcubers|Zemdegs, Feliks]]
[[Category:Cubers|Zemdegs, Feliks]]

PLL

2014-05-16T15:42:56Z

Shadowkiller168: /* R Permutation : b */

{{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
*[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
|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'] ] ]

===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'|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']] ] ]
{{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

2014-04-14T15:35:43Z

Shadowkiller168: /* R Permutation : a */ One algorithm needed an extra move

{{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
*[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}}

===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}}

===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' 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}}

===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}}
{{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'] ] ]

===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'|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__

Rami Sbahi

2014-03-13T21:14:33Z

Shadowkiller168: Created page with "{{Infobox |NAME=Rami Sbahi |IMAGE= |IMAGEYEAR=! |ALIASES= |COUNTRY=USA |BIRTHDATE= |AGE=13 |JOBS= |YEARSACTIVE=2011-present |ID=2011SBAH01 |FAMOUSFOR=2x2 Average WR }} '''Ram..."

{{Infobox
|NAME=Rami Sbahi
|IMAGE=
|IMAGEYEAR=!
|ALIASES=
|COUNTRY=USA
|BIRTHDATE=
|AGE=13
|JOBS=
|YEARSACTIVE=2011-present
|ID=2011SBAH01
|FAMOUSFOR=2x2 Average WR
}}

'''Rami Sbahi''' is an [[USA|American]] speedcuber. He is the 2x2 average world record holder.

History of World Records/2x2x2

2014-03-13T21:04:40Z

Shadowkiller168: /* Average */ Rami Sbahi holds the official 2x2 world record average now, not Christopher Olson. Edited the table accordingly.

This is a list of all [[WCA]] World Records for the [[2x2x2]] event, with links to videos, discussion threads, and reconstructions when possible. You can see other info at the WCA's [http://www.worldcubeassociation.org/results/regions.php?regionId=&eventId=222&years=&history=History historical world record list].

== Single ==
{{Template:TableStart}}
{{Template:TableHeadingRecord}}
{{Template:TableRowRecord
| result=0.69
| name=[[Christian Kaserer]]
| country=Italy
| competition=Trentin Open 2011
| details=
| videos=[http://www.youtube.com/watch?v=2227ulrNcew] [http://www.youtube.com/watch?v=_cQcQKqBsX8]
| discussion=[http://www.speedsolving.com/forum/showthread.php?33501] [http://www.speedsolving.com/forum/showthread.php?33521]
| brand= LanLan
| reconstruction=U' F' R' U
}}
{{Template:TableRowRecord
| result=0.96
| name=[[Vincent Sheu]]
| country=USA
| competition=Berkeley Winter 2011
| details=
| videos=
| discussion=[http://www.speedsolving.com/forum/showthread.php?27274&p=531565&viewfull=1#post531565]
| brand=
| reconstruction=[http://alg.garron.us/?alg=z2_U-_R2-_U-_R&ini=R-_U_F2_U&name=Vincent_Sheu,_0.96_2x2x2_single,_Berkeley_Winter_2011&cube=2x2x2]
}}
{{Template:TableRowRecord
| result=0.96
| name=[[Rowe Hessler]]
| country=USA
| competition=US Nationals 2010
| details=
| videos=[http://www.youtube.com/watch?v=RY0_wPNm6a8] [http://www.youtube.com/watch?v=731-b1SUtIo]
| discussion=[http://www.speedsolving.com/forum/showthread.php?23128]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=0.96
| name=[[Erik Akkersdijk]]
| country=Netherlands
| competition=Geneva Open 2008
| details=
| videos=
| discussion=[http://www.speedsolving.com/forum/showthread.php?7287]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=1.63
| name=[[Javier París]]
| country=Spain
| competition=Murcia Open 2008
| details=
| videos=[http://www.youtube.com/watch?v=H-pu_tcy8pY] [http://www.youtube.com/watch?v=ABPLx3dXVh8]
| discussion=[http://www.speedsolving.com/forum/showthread.php?3057]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=2.65
| name=[[Ron van Bruchem]]
| country=Netherlands
| competition=UK Open 2007
| details=
| videos=
| discussion=[http://www.speedsolving.com/forum/showthread.php?1917]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=2.73
| name=[[Mátyás Kuti]]
| country=Hungary
| competition=Czech Open 2007
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.55
| name=[[Mátyás Kuti]]
| country=Hungary
| competition=German Open 2007
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.55
| name=[[Anthony Hsu]]
| country=USA
| competition=Trumbull 2006
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.94
| name=[[Gunnar Krig]]
| country=Sweden
| competition=Swedish CubeDay 2005
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=4.13
| name=[[Shotaro Makisumi]]
| country=Japan
| competition=Horace Mann 2005
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=4.92
| name=[[Shotaro Makisumi]]
| country=Japan
| competition=Caltech Spring 2005
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=6.35
| name=[[Gunnar Krig]]
| country=Sweden
| competition=Svekub 2005
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=8.44
| name=[[Micael Hellberg]]
| country=Sweden
| competition=Swedish CubeDay 2004
| details=
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableEnd}}

== Average ==
{{Template:TableStart}}
{{Template:TableHeadingRecord}}
{{Template:TableRowRecord
| result=1.71
| name=[[Rami Sbahi]]
| country=USA
| competition=Holy Toledo Winter 2014
| details=1.58 1.82 1.91 1.50 1.66
| videos=[http://www.youtube.com/watch?v=CPRLNYfD2OA]
| discussion=
| brand=DaYan
| reconstruction=
}}
{{Template:TableRowRecord
| result=1.71
| name=[[Christopher Olson]]
| country=USA
| competition=Cubetcha 2013
| details=4.31 1.71 1.68 1.75 1.47
| videos=[http://www.youtube.com/watch?v=DQcqDMcD8Ds]
| discussion=[http://www.speedsolving.com/forum/showthread.php?44254]
| brand=DaYan
| reconstruction=[http://www.speedsolving.com/forum/showthread.php?44254&p=908098&viewfull=1#post908098]
}}
{{Template:TableRowRecord
| result=1.96
| name=[[Sameer Mahmood]]
| country=United Kingdom
| competition=Guildford Open 2013
| details=4.18 1.64 1.72 2.18 1.99
| videos=[http://www.youtube.com/watch?v=1XPbjlzxrxY]
| discussion=[http://www.speedsolving.com/forum/showthread.php?43728] [http://www.speedsolving.com/forum/showthread.php?41932&p=893034&viewfull=1#post893034]
| brand=DaYan
| reconstruction=[http://www.speedsolving.com/forum/showthread.php?41932&viewfull=1#post893126]
}}
{{Template:TableRowRecord
| result=2.02
| name=[[Christopher Olson]]
| country=USA
| competition=New Albany 2013
| details=2.01 2.29 1.87 2.18 1.84
| videos=[http://www.youtube.com/watch?v=nRXsYZ4qP7k] [http://www.youtube.com/watch?v=icS7KgPO6Yc]
| discussion=[http://www.speedsolving.com/forum/showthread.php?42498] [http://www.speedsolving.com/forum/showthread.php?39470&viewfull=1#post865128]
| brand=Wittwo V1
| reconstruction=[http://www.speedsolving.com/forum/showthread.php?42498&p=866945&viewfull=1#post866945]
}}
{{Template:TableRowRecord
| result=2.08
| name=[[Christopher Olson]]
| country=USA
| competition=Dixon Winter 2013
| details=1.53 1.96 2.46 4.69 1.83
| videos=[http://www.youtube.com/watch?v=0mYc71xReso]
| discussion=[http://www.speedsolving.com/forum/showthread.php?40138] [http://www.speedsolving.com/forum/showthread.php?39435&p=817335&viewfull=1#post817335]
| brand=Wittwo V1
| reconstruction=[http://www.speedsolving.com/forum/showthread.php?40138&p=817558&viewfull=1#post817558]
}}
{{Template:TableRowRecord
| result=2.12
| name=[[Feliks Zemdegs]]
| country=Australia
| competition=Melbourne Cube Day 2010
| details=2.38 1.77 1.75 2.21 2.46
| videos=[http://www.youtube.com/watch?v=4Tbx5XsFRQ8]
| discussion=[http://www.speedsolving.com/forum/showthread.php?25515] [http://www.speedsolving.com/forum/showthread.php?24099&p=484182#post484182]
| brand=Lanlan
| reconstruction=[http://www.speedsolving.com/forum/showthread.php?29123&p=571161&viewfull=1#post571161]
}}
{{Template:TableRowRecord
| result=2.35
| name=[[Feliks Zemdegs]]
| country=Australia
| competition=Asian Championship 2010
| details=1.13 1.83 3.13 2.09 3.66
| videos=[http://www.youtube.com/watch?v=5AgqkmyLr3s]
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=2.45
| name=[[Rowe Hessler]]
| country=USA
| competition=Brown Cubing Day 2009
| details=2.22 2.19 2.93 3.28 1.03
| videos=[http://www.youtube.com/watch?v=YkPqwUrUjdY]
| discussion=[http://www.speedsolving.com/forum/showthread.php?17633]
| brand=
| reconstruction=[http://www.speedsolving.com/forum/showthread.php?17633&p=910527&viewfull=1#post910527]
}}
{{Template:TableRowRecord
| result=3.15
| name=[[Rowe Hessler]]
| country=USA
| competition=Cumberland Valley Open 2009
| details=6.02 2.55 2.47 3.41 3.50
| videos=[http://www.youtube.com/watch?v=Zy3Xm6kMs9c]
| discussion=[http://www.speedsolving.com/forum/showthread.php?18985]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.28
| name=[[Edouard Chambon]]
| country=France
| competition=Geneva Open 2008
| details=3.36 1.39 2.97 4.00 3.50
| videos=
| discussion=[http://www.speedsolving.com/forum/showthread.php?7287]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.43
|name=[[Edouard Chambon]]
| country=France
| competition=Euro 2008
| details=3.19 3.25 3.34 3.71 4.11
| videos=
| discussion=[http://www.speedsolving.com/forum/showthread.php?4301&p=87032&viewfull=1#post87032]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.63
| name=[[Łukasz Ciałoń]]
| country=Poland
| competition=Polish Open 2008
| details=3.13 3.43 6.25 4.11 3.36
| videos=[http://www.youtube.com/watch?v=xHonGslNhdc]
| discussion=[http://www.speedsolving.com/forum/showthread.php?4525&p=56990&viewfull=1#post56990]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.74
| name=[[Edouard Chambon]]
| country=France
| competition=Barcelona Open 2008
| details=3.44 4.43 4.66 2.86 3.36
| videos=[http://www.youtube.com/watch?v=_S8MS0wZPZs]
| discussion=[http://www.speedsolving.com/forum/showthread.php?4020] [http://www.speedsolving.com/forum/showthread.php?2772&p=49299&viewfull=1#post49299]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.91
| name=[[Łukasz Ciałoń]]
| country=Poland
| competition=World Championship 2007
| details=4.28 3.65 4.96 3.27 3.80
| videos=[http://www.youtube.com/watch?v=rPDAoYlUsYg]
| discussion=[http://www.speedsolving.com/forum/showthread.php?1662]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=3.92
| name=[[Łukasz Ciałoń]]
| country=Poland
| competition=Polish Open 2007
| details=4.80 4.58 3.78 3.28 3.41
| videos=
| discussion=[http://www.speedsolving.com/forum/showthread.php?1495&p=15080&viewfull=1#post15080]
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=4.13
| name=[[Mátyás Kuti]]
| country=Hungary
| competition=Czech Open 2007
| details=5.03 2.73 3.94 4.49 3.95
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=4.69
| name=[[Łukasz Ciałoń]]
| country=Poland
| competition=Polish Open 2006
| details=4.09 5.30 4.68 6.09 4.09
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=5.38
| name=[[Gunnar Krig]]
| country=Sweden
| competition=Chalmers Open 2006
| details=6.04 5.13 4.60 5.69 5.31
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=6.29
| name=[[Shotaro Makisumi]]
| country=Japan
| competition=Horace Mann 2005
| details=14.23 5.00 7.59 6.28 4.13
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=6.62
| name=[[Shotaro Makisumi]]
| country=Japan
| competition=Caltech Spring 2005
| details=5.60 4.92 9.03 7.88 6.39
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=8.45
| name=[[Gunnar Krig]]
| country=Sweden
| competition=Svekub 2005
| details=7.97 8.78 22.12 6.35 8.60
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableRowRecord
| result=10.87
| name=[[Gunnar Krig]]
| country=Sweden
| competition=Swedish CubeDay 2004
| details=9.81 12.15 14.64 10.66 9.59
| videos=
| discussion=
| brand=
| reconstruction=
}}
{{Template:TableEnd}}

[[Category:Lists|World Records/2x2x2]]

Christopher Olson

2014-03-12T23:34:01Z

Shadowkiller168: Chris Olson is no longer the current 2x2 average world record holder.

{{Infobox
|NAME=Christopher Olson
|IMAGE=Christopher Olson.jpg
|IMAGEYEAR=!
|ALIASES= Topher
|COUNTRY=USA
|BIRTHDATE=
|AGE=17
|JOBS=Student
|YEARSACTIVE=2009-present
|ID=2009OLSO01
|FAMOUSFOR=2x2 ranking
}}

'''Christopher Olson''' is an [[USA|American]] speedcuber. He was among the first in the world to use full [[EG]]. Two time national champion, he is also the former WR holder in the 2x2 event with an average of 1.71, before it was beaten by Rami Sbahi with an average of 1.69 seconds. In collaboration with Rob Yau and others, Olson developed the TCLL 2x2 method.
[[Category:2x2x2 solvers|Olson, Christopher]]
[[Category:EG users|Olson, Christopher]]
[[Category:Speedcubers|Olson, Christopher]]
[[Category:Cubers|Olson, Christopher]]