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ELL

2011-12-08T00:57:01Z

Jaycee: /* 2-flip (Opposite) */

{{Method Infobox
|name=ELL
|image=ELL.png
|proposers=[[Guus Razoux Schultz]]
|year=1981
|anames=
|variants=[[EOLL]], [[EPLL]], [[L5E]]
|steps=1
|algs=29
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
}}

:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].

ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].

All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].

== See Also ==
* [[CFCE]]
* [[CLL]]
* [[L5E]], [[L5EOP]]
* [[LLEF]]

== External Links ==
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]

{{ELL}}

== Intuitive:==
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:

* O = M' U M ... Orient
* O' = M' U' M ... Orient inverse
* P = M' U2 M ... Permute

If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs

Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.

==2-look ELL:==
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.

Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).

=ELL Algorithms=
{{Algnote}}

The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.
==Pure flips==

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

|-valign="top"
|
=== 2-flip (Adjacent) ===
{{case
|image=ELL 2-flip (a).jpg
|name=Pure adjacent 2-flip
|methods=[[ELL]], [[BLD]]
|optimal=13 [[HTM]], 12 [[STM]]
|text=
}}
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}
{{Alg|M U M' U2 M U M U M U2 M' U M2}}
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}

|

=== 2-flip (Opposite) ===
{{case
|image=ELL 2-flip (b).jpg
|name=Pure opposite 2-flip
|methods=[[ELL]], [[BLD]]
|optimal=14 [[HTM]], 11 [[STM]]
|text=
}}
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}
{{Alg|M' d' M d' M' U2 M d M' d M U2}}
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}
{{Alg|F M' F M' F2 U2 M F M F' U2}}
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}

|-valign="top"
|

=== 4-flip ===
{{case
|image=ELL 4-flip.jpg
|name=Pure 4-flip
|methods=[[ELL]], [[BLD]]
|optimal=14 [[HTM]], 10 [[STM]]
|text=
}}
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}

|
Smile =)
|}

==EPLLs==
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.
----
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== U-PLL a ===
{{case
|image=ELL U-PLL (a).jpg
|name=U-PLL a
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|F2 U M' U2 M U F2}}
{{Alg|M2 U' M U2 M' U' M2}}
{{Alg|L' U L' U' L' U' L' U L U L2}}

|

=== U-PLL b ===
{{case
|image=ELL U-PLL (b).jpg
|name=U-PLL b
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|F2 U' M' U2 M U' F2}}
{{Alg|M'2 U M U2 M' U M'2}}
{{Alg|R U' R U R U R U' R' U' R2}}
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}

|-valign="top"
|

=== Z-PLL ===
{{case
|image=ELL Z-PLL.jpg
|name=Z-PLL
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
|optimal=10 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|M2 U' M E2 M E2 U M2}}
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}
{{Alg|(y') M2 u M2 D' M S2 M'}}
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}

|

=== H-PLL ===
{{case
|image=ELL H-PLL.jpg
|name=H-PLL
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
|optimal=10 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}
{{Alg|M2 U' M2 U2 M2 U' M2}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}

|}

==B edge solved (3-cycles)==
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== RF-flip U-PLL a ===
{{case
|image=ELL 3LF (b).jpg
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|M U M' U2 M U M'}}
{{Alg|(y2) M' U M U2 M' U M}}
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}

|

=== LF-flip U-PLL b ===
{{case
|image=ELL 3RF (a).jpg
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|M U' M' U2 M U' M'}}
{{Alg|(y2) M' U' M U2 M' U' M}}
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}

|-valign="top"
| bgcolor="f0f4f8" |
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.
| bgcolor="f0f4f8" |
Mirror to the side and inverse in diagonal.

|-valign="top"
|

=== RL-flip U-PLL a ===
{{case
|image=ELL 3RL (a).jpg
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
|optimal=10 [[HTM]], 8 [[STM]]
|text=
}}
{{Alg|(y' x') U' R U M' U' R' U M}}
{{Alg|(y') r' U' R U M' U' R' U R}}

|
=== RL-flip U-PLL b ===
{{case
|image=ELL 3RL (b).jpg
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
|optimal=10 [[HTM]], 8 [[STM]]
|text=
}}
{{Alg|(y x') U L' U' M' U L U' M}}
{{Alg|(y') r U R' U' M U R U' R'}}

|-valign="top"
|
=== LF-flip U-PLL a ===
{{case
|image=ELL 3LF (a).jpg
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
|optimal=10 [[HTM]], 8 [[STM]]
|text=
}}
{{Alg|(y x') M' U L' U' M U L U'}}
{{Alg|(y') R U R' U' M' U R U' r'}}

|
=== RF-flip U-PLL b ===
{{case
|image=ELL 3RF (b).jpg
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
|optimal=10 [[HTM]], 8 [[STM]]
|text=
}}
{{Alg|(y' x') M' U' R U M U' R' U}}
{{Alg|(y') R' U' R U M U' R' U r}}

|}

==B edge in position but flipped==
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/
----
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== 4-flip U-PLL a ===
{{case
|image=ELL U4 (a).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}

|

=== 4-flip U-PLL b ===
{{case
|image=ELL U4 (b).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}
{{Alg|(y') M U' M2 d L' U' L' S L U L}}
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}

|-valign="top"
| bgcolor="f0f4f8" |
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.
| bgcolor="f0f4f8" |
Mirror to the side and inverse in diagonal.

|-valign="top"
|

=== BF-flip U-PLL a ===
{{case
|image=ELL U2AF (a).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}
{{Alg|M' U' F2 M2 U' M U F2 U M2}}
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}

|

=== BF-flip U-PLL b ===
{{case
|image=ELL U2AF (b).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}
{{Alg|M' U F2 M2 U M U' F2 U' M2}}
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}

|-valign="top"
|

=== BL-flip U-PLL a ===
{{case
|image=ELL U2OL (a).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}

|

=== BR-flip U-PLL b ===
{{case
|image=ELL U2OR (b).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}

|-valign="top"
|

=== BR-flip U-PLL a ===
{{case
|image=ELL U2AR (a).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}

|
=== BL-flip U-PLL b ===
{{case
|image=ELL U2AL (b).jpg
|name=3-cycle 1-flip
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}
|}

==No edges in position==

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

|-valign="top"
|
=== LF-flip Z-PLL ===
{{case
|image=ELL Z2AFR.jpg
|name=Adjacent flip Z-PLL a
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}
{{Alg|(y') F R U R' U' F2 L' U' L U F}}
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}

|

=== LB-flip Z-PLL ===
{{case
|image=ELL Z2ABR.jpg
|name=Adjacent flip Z-PLL b
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}

|-valign="top"
|

=== FB-flip Z-PLL ===
{{case
|image=ELL Z2ORL.jpg
|name=Opposite flip Z-PLL a
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U M U' M' U M U M' U2 M}}
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}

|

===LR-flip Z-PLL ===
{{case
|image=ELL Z2OFB.jpg
|name=Opposite flip Z-PLL b
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}

|}

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

|-valign="top"
|

=== 4-flip Z-PLL ===
{{case
|image=ELL Z4.jpg
|name=4-flip Z-PLL
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|F2 M F2 U' M2 U B2 M B2}}
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}

|

=== 4-flip H-PLL ===
{{case
|image=ELL H4.jpg
|name=4-flip H-PLL
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}
{{Alg|r U R' U' M2 U R U' R' U' M'}}
{{Alg|M U R U R' U' M2 U R U' r'}}
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}

|-valign="top"
|

=== FR-flip H-PLL ===
{{case
|image=ELL H2A.jpg
|name=Adjacent flip H-PLL
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U' M U' M' U' M U' M' U' M U}}
{{Alg|(y) M' U M U M' U M U M' U M U'}}
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}
|

=== FB-flip H-PLL ===
{{case
|image=ELL H2O.jpg
|name=Opposite flip H-PLL
|methods=[[ELL]]
|optimal=11 [[STM]] 15 [[HTM]]
|text=
}}
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}
{{Alg|F M' F U M2 U2 M2 U F' M F'}}
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}

|}

{{ELL}}

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

__NOTOC__

OLL

2011-12-08T00:50:53Z

Jaycee: /* OLL 57 */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].

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

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

== External Links ==

* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)

 {{OLL}}

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

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

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

{{Algnote}}

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

{{OCLL}}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 1 ===
{{case
|image=o1.gif
|name=runway
|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}}
|

=== 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=
|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=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}

|-valign="top"
|

=== OLL 20 ===
{{case
|image=o20.gif
|name=X
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M'|OLL}}
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U'|OLL}}
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U'|OLL}}
{{Alg|R B U B' R' F2 B D' L' D B' F2|OLL}}
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R|OLL}}
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U) 4 (M' U) 4|OLL}}
{{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}
{{Alg|(M' U)4 Y2 (M' U) 4|OLL}}

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

=== OLL 18 ===
{{case
|image=o18.gif
|name=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|y F R U R' d R' U2 R' F R F'|OLL}}
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}
{{Alg|y2 (R' F R F') U2 (R' F R F') (U F' U F) |OLL}}
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}

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

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

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

|

=== 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}}
|-valign="top"
|

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

|

=== OLL 44 ===
{{case
|image=o44.gif
|name=
|methods=[[OLL]]
|optimal=6 [[HTM]]
|text=
}}
{{Alg|f R U R' U' f'|OLL}}
{{Alg|y2 F U R U' R' F'|OLL}}
{{Alg|y R U y' L U' L' B'|OLL}}
{{Alg|y F U R' F R F' U' F'|OLL}}

|}

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

=== OLL 36 ===
{{case
|image=o36.gif
|name=sea-mew
|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=
|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=
|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=
|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=
|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=
|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}}

|-valign="top"
|

=== OLL 49 ===
{{case
|image=o49.gif
|name=
|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=
|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=
|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}}

|

=== OLL 46 ===
{{case
|image=o46.gif
|name=
|methods=[[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|R' U' R' F R F' U R|OLL}}
{{Alg|R' U' l' U l F' U R|OLL}}
{{Alg|y F U F l' U' l U' F'|OLL}}
{{Alg|R U l U' R' U F' l'|OLL}}
{{Alg|y2 L F U' R U R' F' L'|OLL}}
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}

|}

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

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

|

=== OLL 45 ===
{{case
|image=o45.gif
|name=
|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=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}
{{Alg|y 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 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=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r U r' U R U' R' U R U' R' r U' r'|OLL}}
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}
{{Alg|r U r' U R U' R' M' U R U2 r'|OLL}}
{{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F U R U' R' U R U' R' F'|OLL}}
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}

|

=== OLL 52 ===
{{case
|image=o52.gif
|name=
|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|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}

|}

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

=== OLL 5 ===
{{case
|image=o5.gif
|name=
|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}}

|

=== OLL 6 ===
{{case
|image=o6.gif
|name=
|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=
|methods=[[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|y2 f' L F L' U' L' U L S|OLL}}
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}

|

=== OLL 40 ===
{{case
|image=o40.gif
|name=
|methods=[[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R' F R U R' U' F' U R|OLL}}
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}
{{Alg|y2 L' B L U L' U' B' U L|OLL}}

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

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

|

=== OLL 8 ===
{{case
|image=o8.gif
|name=
|methods=[[OLL]]
|optimal=7 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|y' B' R' F R' F' R2 B|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
{{case
|image=o11.gif
|name=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R2 U R' U R U2 R' U M'|OLL}}
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}
{{Alg|y R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}

|

=== OLL 12 ===
{{case
|image=o12.gif
|name=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F R U R' U' F' U F R U R' U' F'|OLL}}
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}
{{Alg|y' M' R' U' R U' R' U2 R U' M|OLL}}

|}

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

=== OLL 9 ===
{{case
|image=o9.gif
|name=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}
{{Alg|y L' U' L y l U' l' U l U l'|OLL}}
{{Alg|R' U' R U' R' U R' F R F' U R|OLL}}
{{Alg|y' R' U' R y r U' r' U r U r'|OLL}}

|

=== OLL 10 ===
{{case
|image=o10.gif
|name=
|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=
|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=
|methods=[[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|y F R U' R' U' R U R' F'|OLL}}
{{Alg|y R' F R F' U' F' U F|OLL}}
{{Alg|y R' F R F' y' U' R' U R|OLL}}
{{Alg|y F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}

|}

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

=== OLL 13 ===
{{case
|image=o13.gif
|name=
|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}}

|

=== OLL 14 ===
{{case
|image=o14.gif
|name=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|l' U l U l' U' l y' R U' R'|OLL}}
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}
{{Alg|y2 x' L' U L F L' U' L x y' L U' L'|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}

|-valign="top"
|

=== OLL 15 ===
{{case
|image=o15.gif
|name=
|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=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}
{{Alg|y2 r U M U R' U' r U' r'|OLL}}
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}

|}

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

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

|

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

|-valign="top"
|

=== OLL 41 ===
{{case
|image=o41.gif
|name=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}
{{Alg|y2 M' R' F' U' F U R U' M|OLL}}
{{Alg|R' M2 U' F' U F r U' M'|OLL}}

|

=== OLL 42 ===
{{case
|image=o42.gif
|name=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}
{{Alg|y2 M' U f U R U' R' f' M|OLL}}
{{Alg|M R f R f' U' R' U M'|OLL}}

|}

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

=== OLL 28 ===
{{case
|image=o28.gif
|name=
|methods=[[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|r U R' U' r' R U R U' R'|OLL}}
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}
{{Alg|y' r' U' R U M' U' R' U R|OLL}}
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}
{{Alg|M U M' U2 M U M'|OLL}}
{{Alg|y M U' M' U2 M U' M'|OLL}}
{{Alg|y2 M' U M U2 M' U M|OLL}}
{{Alg|y' M U M2 U M' U2 M U M |OLL}}
{{Alg|M U M U M' U' M U' M U M |OLL}}
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}
{{Alg|y M U' M U' M' U M U M U' M |OLL}}
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}
{{Alg|y' M U M' U M U M' U M U M' |OLL}}
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}
{{Alg|R' F R S R' F' R S' |OLL}}
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}
{{Alg|y L F' L' S' L F L'S |OLL}}

|

=== OLL 57 ===
{{case
|image=o57.gif
|name=
|methods=[[OLL]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' r R' U R U' r'|OLL}}
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}
{{Alg|R' U' R U M U' R' U r|OLL}}
{{Alg|M U M U M U2 M' U M' U M' |OLL}}
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' |OLL}}
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}

|}

 {{OLL}}

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

__NOTOC__

Template:OCLL

2011-08-11T18:13:23Z

Jaycee: /* OLL 26 */

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 27 ===
{{case
|image=o27.gif
|name=S, Sune
|methods=[[OCLL]], [[OLL]]
|optimal=7 [[HTM]]
|text=
}}
{{Alg|R U R' U R U2 R'|OLL|vidurl=http://www.youtube.com/watch?v=PPZloK1cqrE}}
{{Alg|y' R' U2 R U R' U R|OLL}}
{{Alg|y L' U2 L U L' U L|OLL}}
{{Alg|y2 L U L' U L U2 L'|OLL}}
{{Alg|R U' L' U R' U' L|OLL}}
{{Alg|U2 r2 U R' U' L' U R U' r' (x')|OLL}}

|

=== OLL 26 ===
{{case
|image=o26.gif
|name=-S, Antisune
|methods=[[OCLL]], [[OLL]]
|optimal=7 [[HTM]]
|text=
}}
{{Alg|y2 R' U' R U' R' U2 R|OLL}}
{{Alg|y' R U2 R' U' R U' R'|OLL}}
{{Alg|y' L U2 L' U' L U' L'|OLL}}
{{Alg|L' U' L U' L' U2 L|OLL}}
{{Alg|L' U R U' L U R'|OLL}}
{{Alg|y' L' U R U' L U R'|OLL}}
{{Alg|y' R U2 R' U2' R' F R2 U' R' U' R U R' F'|OLL}}

|-valign="top"
|

=== OLL 21 ===
{{case
|image=o21.gif
|name=H, Double Sune
|methods=[[OCLL]], [[OLL]]
|optimal=11 [[HTM]], 10 [[STM]]
|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|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}
{{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}
{{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}
{{Alg|L U L' U L U' L' U L U2 L'|OLL}}
{{Alg|y L' U2 L U L' U' L U L' U L|OLL}}
{{Alg|y (R' U R U) (R' U R U') (R' U R U') R' U' R U2 R' U R|OLL}}
{{Alg|L' U2 M' (y) R U2 R U2 R' U2 (y') l|OLL}}
{{Alg|y F (R U R' U')(R U R' U')(R U R' U') F'|OLL}}

=== OLL 22 ===
{{case
|image=o22.gif
|name=pi, Bruno, wheel
|methods=[[OCLL]], [[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}
{{Alg|R U' L' U R' U L U L' U L|OLL}}
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}

|-valign="top"
|

=== OLL 23 ===
{{case
|image=o23.gif
|name=U, [[Headlights]], Superman
|methods=[[OCLL]], [[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R2 D' R U2 R' D R U2 R|OLL}}
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}
{{Alg|U2 R2' D R' U2 R D' R' U2 R'|OLL}}
{{Alg|R d' R' U R d R' (y) R' U2 R|OLL}}
{{Alg|R' U L' U R U' L U2 R' U R|OLL}}
{{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}
|

=== OLL 24 ===
{{case
|image=o24.gif
|name=T, chameleon, shark
|methods=[[OCLL]], [[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|r U R' U' L' U R U' x'|OLL}}
{{Alg|r U R' U' r' F R F'|OLL}}
{{Alg|y' F R U R' U' R U' R' U' R U R' F'|OLL}}
{{Alg|R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}
{{Alg|y x D' R' U R D R' U' R x'|OLL}}
{{Alg|y x D L U' L' D' L U L' x' |OLL}}
{{Alg|y x' U' R' D R U R' D' R x|OLL}}
{{Alg|y2 R' F' r U R U' r' F|OLL}}
{{Alg|y2 l' U' L U R U' r' F|OLL}}
{{Alg|y' l U l' F R B' R' F'|OLL}}

|-valign="top"
|

=== OLL 25 ===
{{case
|image=o25.gif
|name=L, Bowtie, Triple-Sune
|methods=[[OCLL]], [[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|y2 R' F R B' R' F' R B|OLL}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|y' x U R' U' L U R U' r'|OLL}}
{{Alg|R' F' L' F R F' L F|OLL}}
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}
{{Alg|y2 F R' F' r U R U' r'|OLL}}
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}
{{Alg|x' D R U R' D' R U' l'|OLL}}
{{Alg|x' U L' U' R U L U' l'|OLL}}
{{Alg|x' R' D R U' R' D' R U x|OLL}}
{{Alg|x R' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}
{{Alg|l' U' L' U R U' L U x'|OLL}}
{{Alg|U r U R U' L' U R' U' x'|OLL}}
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}
{{Alg|F R B R' F' l U' l'|OLL}}
{{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}
|}