Speedsolving.com Wiki - User contributions [en]

CLL

2013-08-21T11:25:49Z

Robert-Y:

{{Method Infobox
|name=CLL (2x2x2)
|image=Cll.gif
|proposers
|year=1980s
|anames
|variants=[[LBL]]
|steps=2
|algs=42 (27 min)
|moves
|purpose=
* [[Speedsolving]]
}}
'''CLL, Corners of Last Layer''', a method that solves the [[last layer]] [[corner]]s in one [[algorithm]].

CLL is not to be confused with [[COLL]] that is an abbrevation for exactly the same name but COLL does also preserve LL edge orientation, sometimes you will need longer algorithms for that.

There are two different sets of CLL, one that is used for [[corners first]] (the [[Waterman method]]) and the [[2x2x2 cube]] and one that preserves the [[first two layers]] on the [[3x3x3 cube]]. In the latter case the LL edges are solved after the CLL using [[ELL]].

== As a 2x2x2 Speedsolving Method ==

The first stage of CLL for the 2x2x2 consists of completely solving one layer of the cube (both orientation and permutation) as in the [[Layer by layer|Layer-By-Layer method]]. Then, using one of 42 algorithms (2 of which are PLLs), you solve the remaining orientation and permutation of the last layer (thus giving a 1 Look Last Layer). The algorithms needed are given in the [[CxLL|CxLL pages]]. This method is also named the Waterman method after the 1980s master cuber [[Marc Waterman]] from the Netherlands who was using it for his [[corners first]] method back then ([http://rubikscube.info/waterman/index.php the Waterman documentation]).

==History==
CLL was first officially used by [[Guus Razoux Schultz]] ([http://www.worldcubeassociation.org/results/p.php?i=1982RAZO01 WCA]) during the [[World Rubik's Cube Championship 1982|WC 1982]].

==See also==
* [[CLL algorithms (3x3x3)]]
* [[CMLL]], [[COLL]], [[CxLL]], [[CxLL Algorithms]]
* [[L3C]], [[L4C]]
* [[OLL (2x2x2)]]
* [[PBL]]
* [[Waterman Method]]
* [[EG]]

== External links ==
* [http://cyotheking.weebly.com/index.html Chris Olson's CLL algs]
* [http://www.speedcubing101.com/cll.html Anthony Brooks' CLL algs]
* [http://dtwoner.110mb.com/index.php?p=1_31_CLL David Woner's CLL algs]
* [http://sites.google.com/site/kubbuth/2x2x2/cll 2x2x2 CLL in Swedish] [http://sites.google.com/site/kubbuth/2x2x2/cll/algos Algos]
* [http://www.kungfoomanchu.com/#2x2x2cll CLL algs in Printable PDF form from Kungfoomanchu.com]
* YouTube: [http://www.youtube.com/watch?v=X4WVutkJqic Erik Akkersdijk's CLL Tutorial]
* YouTube: [http://www.youtube.com/user/rowehess Rowe Hessler's Channel] - contains CLL algs
* YouTube: [http://www.youtube.com/user/RowanKinneavy Rowan Kinneavy's Channel] - more CLL algs

[[Category:Acronyms]]
[[Category:2x2x2 substeps]]
[[Category:3x3x3 last layer substeps]]

CLL

2013-08-21T11:25:07Z

Robert-Y:

{{Method Infobox
|name=CLL (2x2x2)
|image=Cll.gif
|proposers
|year=1980s
|anames
|variants=[[LBL]]
|steps=2
|algs=42 (27 min)
|moves
|purpose=
* [[Speedsolving]]
}}
'''CLL, Corners of Last Layer''', a method that solves the [[last layer]] [[corner]]s in one [[algorithm]].

CLL is not to be confused with [[COLL]] that is an abbrevation for exactly the same name but COLL does also preserve LL edge orientation, sometimes you will need longer algorithms for that.

There are two different sets of CLL, one that is used for [[corners first]] (the [[Waterman method]]) and the [[2x2x2 cube]] and one that preserves the [[first two layers]] on the [[3x3x3 cube]]. In the latter case the LL edges are solved after the CLL using [[ELL]].

== As a 2x2x2 Speedsolving Method ==

The first stage of CLL for the 2x2x2 consists of completely solving one layer of the cube (both orientation and permutation) as in the [[Layer by layer|Layer-By-Layer method]]. Then, using one of 42 algorithms (2 of which are PLLs), you solve the remaining orientation and permutation of the last layer (thus giving a 1 Look Last Layer). The algorithms needed are given in the [[CxLL|CxLL pages]]. This method is also named the Waterman method after the 1980s master cuber [[Marc Waterman]] from the Netherlands who was using it for his [[corners first]] method back then ([http://rubikscube.info/waterman/index.php the Waterman documentation]).

==History==
CLL was first officially used by [[Guus Razoux Schultz]] ([http://www.worldcubeassociation.org/results/p.php?i=1982RAZO01 WCA]) during the [[World Rubik's Cube Championship 1982|WC 1982]].

==See also==
* [[CLL algorithms (3x3x3)]]
* [[CMLL]], [[COLL]], [[CxLL]], [[CxLL Algorithms]]
* [[L3C]], [[L4C]]
* [[OLL (2x2x2)]]
* [[PBL]]
* [[Waterman Method]]
* [[EG]]

== External links ==
* [http://cyotheking.weebly.com/index.html]
* [http://www.speedcubing101.com/cll.html Anthony Brooks' CLL algs]
* [http://dtwoner.110mb.com/index.php?p=1_31_CLL David Woner's CLL algs]
* [http://sites.google.com/site/kubbuth/2x2x2/cll 2x2x2 CLL in Swedish] [http://sites.google.com/site/kubbuth/2x2x2/cll/algos Algos]
* [http://www.kungfoomanchu.com/#2x2x2cll CLL algs in Printable PDF form from Kungfoomanchu.com]
* YouTube: [http://www.youtube.com/watch?v=X4WVutkJqic Erik Akkersdijk's CLL Tutorial]
* YouTube: [http://www.youtube.com/user/rowehess Rowe Hessler's Channel] - contains CLL algs
* YouTube: [http://www.youtube.com/user/RowanKinneavy Rowan Kinneavy's Channel] - more CLL algs

[[Category:Acronyms]]
[[Category:2x2x2 substeps]]
[[Category:3x3x3 last layer substeps]]

CLL

2011-09-08T10:39:42Z

Robert-Y: /* External Links */

{{Method Infobox
|name=CLL (2x2x2)
|image=Cll.gif
|proposers
|year=1980s
|anames
|variants=[[LBL]]
|steps=2
|algs=42 (27 min)
|moves
|purpose=
* [[Speedsolving]]
}}
'''CLL, Corners of Last Layer''', a method that solves the [[last layer]] [[corner]]s in one [[algorithm]].

CLL is not to be confused with [[COLL]] that is an abbrevation for exactly the same name but COLL does also preserve LL edge orientation, sometimes you will need longer algorithms for that.

There are two different sets of CLL, one that is used for [[corners first]] (the [[Waterman method]]) and the [[2x2x2 cube]] and one that preserves the [[first two layers]] on the [[3x3x3 cube]]. In the latter case the LL edges are solved after the CLL using [[ELL]].

== As a 2x2x2 Speedsolving Method ==

The first stage of CLL for the 2x2x2 consists of completely solving one layer of the cube (both orientation and permutation) as in the [[Layer by layer|Layer-By-Layer method]]. Then, using one of 42 algorithms (2 of which are PLLs), you solve the remaining orientation and permutation of the last layer (thus giving a 1 Look Last Layer). The algorithms needed are given in the [[CxLL|CxLL pages]]. This method is also named the Waterman method after the 1980's master cuber [[Marc Waterman]] from the Netherlands who was using it for his [[corners first]] method back then ([http://rubikscube.info/waterman/index.php the Waterman documentation]).

==History==
CLL was first officially used by [[Guus Razoux Schultz ]] ([http://www.worldcubeassociation.org/results/p.php?i=1982RAZO01 WCA]) during the [[World Rubik's Cube Championship 1982 | WC 1982]].

==See Also==
* [[CLL algorithms (3x3x3)]]
* [[CMLL]], [[COLL]], [[CxLL]], [[CxLL Algorithms]]
* [[L3C]], [[L4C]]
* [[OLL (2x2x2)]]
* [[PBL]]
* [[Waterman Method]]
* [[EG]]

== External Links ==
* [http://tinyurl.com/4yct9aa Robert Yau's CLL algs]
* [http://www.speedcubing101.com/cll.html Anthony Brooks' CLL algs]
* [http://dtwoner.110mb.com/index.php?p=1_31_CLL David Woner's CLL algs]
* [http://sites.google.com/site/kubbuth/2x2x2/cll 2x2x2 CLL in Swedish] [http://sites.google.com/site/kubbuth/2x2x2/cll/algos Algos]
* [http://www.erikku.110mb.com/CLL.html Erik Akkersdijk's CLL Algs]
* [http://www.kungfoomanchu.com/#2x2x2cll CLL algs in Printable PDF form from Kungfoomanchu.com]
* YouTube: [http://www.youtube.com/watch?v=X4WVutkJqic Erik Akkersdijk's CLL Tutorial]
* YouTube: [http://www.youtube.com/user/rowehess Rowe Hessler's Channel] - contains CLL algs
* YouTube: [http://www.youtube.com/user/RowanKinneavy Rowan Kinneavy's Channel] - more CLL algs

[[Category:Methods]]
[[Category:2x2x2 Methods]]
[[Category:2x2x2 Speedsolving Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Sub Steps]]

OLL

2009-07-19T01:35:19Z

Robert-Y: /* OLL 38 */

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

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

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

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

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

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

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

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

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U R U2 R)

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

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* r U R' U' L' U R U'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* y2 l' U' L U R U' r' F

||

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

* y2 R' F R B' R' F' R B
* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L U2 L' U' L U' L'
* L' U' L U' L' U2 L
* L' U R U' L U R'

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

* R U R' U R U2 R'
* y' R' U2 R U R' U R
* y L' U2 L U L' UL
* y2 L U L' U L U2 L'
* R U' L' U R' U' L

|}

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

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

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

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

* F (R U R' U') F' f (R U R' U') f'

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

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r

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

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

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

* R U R' U R' F R F' U2 R' F R F'

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

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'
* R U2 R2 F R F' U2 M' U R U' r'

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

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B
* r' R U R U R' U' r R2' F R F'
* M U R U R' U' r R2' F R F'

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

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

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

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

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

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

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

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

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

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

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

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

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

* R' U' R U' R' U R U R B' R' B
* y2 (L' U' L U') (L' U L U) (L F' L' F)
* (R U R' U') y (L' U2' L U) y' (R U R')
||

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

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'
* (L' U' L U) y' (R U2 R' U') y (L' U' L)
|}

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

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

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

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

* r U R' U R U' R' U R U2 r'
* y' r U2 R' U' R U R' U' R U' r'

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

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
* (y x') U' r U2 L' U2 r' U2 L U' (x)

||

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

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

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

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

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

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R
* (y' x') U l' U2 R U2 l U2 R' U (x)

|}

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

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

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

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

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'
* R U R'2 U' R' F R U R U' F

|}

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

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

* R U R' U' R' F R F'
* r' U' R U l U' R' U (x)

||

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

* F R U R' U' F'

|}

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

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

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

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

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

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

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

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'
* R U R' U R U2 R' (Sune) U (F U R U' R' F')

|}

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

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

* (r' U2) (R U R' U r)
* y2 l' U2 L U L' U l'

||

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

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

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

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

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

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

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

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

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

* (r U R' U) (R U2 r')
* L' U2 L U2 L F' L' F

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

* y2 r' U' R U' R' U2 r
* R U2 R' U2 R' F R F'

||

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

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'
* y F' L' U' L U F' Y F R U R' U' F'

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

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'
* y' r R2 U' R U' R' U2 R U' R r'

|}

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

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

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

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

* y' R U R' y R' F R U' R' F' R

* y' R' U' R U R B' R2 U' R U B
||

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

* R U2 R2' F R F' R U2 R'

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

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* y F R' F' R U R U' R'
* R B' R' B U B U' B'

|}

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

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

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'
* r U' r' U' r U r' y' R' U R

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

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R
* y2 B' U' R' U R2 B R' U' R' U R
||

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

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

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

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

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

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

* y2 R' F R F' R U2 R' d' L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y (R U R' U') (R U' R' F') U' (F R U R')
* y R' U2 R2 U R' U' R' U2 F R F'
* M U (R U R' U') (R' F R F') M'

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

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'
* M U' (L' U' L U) (L F' L' F) M'

||

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

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

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

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

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

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

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

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

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-07-19T01:34:15Z

Robert-Y: /* OLL 36 */

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

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

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

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

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

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

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

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

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U R U2 R)

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

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* r U R' U' L' U R U'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* y2 l' U' L U R U' r' F

||

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

* y2 R' F R B' R' F' R B
* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L U2 L' U' L U' L'
* L' U' L U' L' U2 L
* L' U R U' L U R'

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

* R U R' U R U2 R'
* y' R' U2 R U R' U R
* y L' U2 L U L' UL
* y2 L U L' U L U2 L'
* R U' L' U R' U' L

|}

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

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

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

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

* F (R U R' U') F' f (R U R' U') f'

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

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r

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

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

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

* R U R' U R' F R F' U2 R' F R F'

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

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'
* R U2 R2 F R F' U2 M' U R U' r'

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

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B
* r' R U R U R' U' r R2' F R F'
* M U R U R' U' r R2' F R F'

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

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

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

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

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

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

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

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

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

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

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

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

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

* R' U' R U' R' U R U R B' R' B
* y2 (L' U' L U') (L' U L U) (L F' L' F)
* (R U R' U') y (L' U2' L U) y' (R U R')
||

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

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

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

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

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

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

* r U R' U R U' R' U R U2 r'
* y' r U2 R' U' R U R' U' R U' r'

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

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
* (y x') U' r U2 L' U2 r' U2 L U' (x)

||

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

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

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

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

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

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R
* (y' x') U l' U2 R U2 l U2 R' U (x)

|}

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

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

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

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

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'
* R U R'2 U' R' F R U R U' F

|}

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

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

* R U R' U' R' F R F'
* r' U' R U l U' R' U (x)

||

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

* F R U R' U' F'

|}

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

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

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

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

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

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

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

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'
* R U R' U R U2 R' (Sune) U (F U R U' R' F')

|}

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

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

* (r' U2) (R U R' U r)
* y2 l' U2 L U L' U l'

||

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

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

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

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

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

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

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

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

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

* (r U R' U) (R U2 r')
* L' U2 L U2 L F' L' F

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

* y2 r' U' R U' R' U2 r
* R U2 R' U2 R' F R F'

||

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

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'
* y F' L' U' L U F' Y F R U R' U' F'

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

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'
* y' r R2 U' R U' R' U2 R U' R r'

|}

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

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

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

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

* y' R U R' y R' F R U' R' F' R

* y' R' U' R U R B' R2 U' R U B
||

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

* R U2 R2' F R F' R U2 R'

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

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* y F R' F' R U R U' R'
* R B' R' B U B U' B'

|}

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

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

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'
* r U' r' U' r U r' y' R' U R

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

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R
* y2 B' U' R' U R2 B R' U' R' U R
||

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

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

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

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

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

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

* y2 R' F R F' R U2 R' d' L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y (R U R' U') (R U' R' F') U' (F R U R')
* y R' U2 R2 U R' U' R' U2 F R F'
* M U (R U R' U') (R' F R F') M'

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

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'
* M U' (L' U' L U) (L F' L' F) M'

||

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

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

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

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

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

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

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

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

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-07-19T01:32:32Z

Robert-Y: /* OLL 36 */

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

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

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

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

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

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

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

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

* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2 U' R D2 R' U R D2 R
* l2' U' z' U R2 U' L U R2 z' L
* y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'
* (R' U' R U) R' U2 R2 U (R' U R U2 R)

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

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* r U R' U' L' U R U'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')
* y2 R' F' r U R U' r' F
* y2 l' U' L U R U' r' F

||

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

* y2 R' F R B' R' F' R B
* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* y2 R U2' R D R' U2 R D' R2'
* y2 F R' F' r U R U' r'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* x' D R U R' D' R U' l'
* x' U L' U' R U L U' l'
* l' U' L' U R U' L U x'
* U r U R U' L' U R' U' x'
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

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

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L U2 L' U' L U' L'
* L' U' L U' L' U2 L
* L' U R U' L U R'

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

* R U R' U R U2 R'
* y' R' U2 R U R' U R
* y L' U2 L U L' UL
* y2 L U L' U L U2 L'
* R U' L' U R' U' L

|}

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

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

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

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

* F (R U R' U') F' f (R U R' U') f'

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

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r

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

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

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

* R U R' U R' F R F' U2 R' F R F'

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

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'
* R U2 R2 F R F' U2 M' U R U' r'

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

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B
* r' R U R U R' U' r R2' F R F'
* M U R U R' U' r R2' F R F'

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

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
* (r U R' U') M2 (U R U' R') U' M'
|}

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

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

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

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

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

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

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

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

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

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

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

* R' U' R U' R' U R U R B' R' B
* y2 (L' U' L U') (L' U L U) (L F' L' F)
* R U R' U' y L' U2' L U y' R U R'
||

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

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

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

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

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

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

* r U R' U R U' R' U R U2 r'
* y' r U2 R' U' R U R' U' R U' r'

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

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
* (y x') U' r U2 L' U2 r' U2 L U' (x)

||

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

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

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

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

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

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R
* (y' x') U l' U2 R U2 l U2 R' U (x)

|}

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

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

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

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

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'
* R U R'2 U' R' F R U R U' F

|}

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

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

* R U R' U' R' F R F'
* r' U' R U l U' R' U (x)

||

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

* F R U R' U' F'

|}

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

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

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

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

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

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

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

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'
* R U R' U R U2 R' (Sune) U (F U R U' R' F')

|}

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

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

* (r' U2) (R U R' U r)
* y2 l' U2 L U L' U l'

||

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

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

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

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

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

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

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

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

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

* (r U R' U) (R U2 r')
* L' U2 L U2 L F' L' F

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

* y2 r' U' R U' R' U2 r
* R U2 R' U2 R' F R F'

||

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

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'
* y F' L' U' L U F' Y F R U R' U' F'

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

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'
* y' r R2 U' R U' R' U2 R U' R r'

|}

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

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

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

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

* y' R U R' y R' F R U' R' F' R

* y' R' U' R U R B' R2 U' R U B
||

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

* R U2 R2' F R F' R U2 R'

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

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* y F R' F' R U R U' R'
* R B' R' B U B U' B'

|}

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

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

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'
* r U' r' U' r U r' y' R' U R

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

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R
* y2 B' U' R' U R2 B R' U' R' U R
||

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

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

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

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

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

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

* y2 R' F R F' R U2 R' d' L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y (R U R' U') (R U' R' F') U' (F R U R')
* y R' U2 R2 U R' U' R' U2 F R F'
* M U (R U R' U') (R' F R F') M'

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

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'
* M U' (L' U' L U) (L F' L' F) M'

||

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

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

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

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

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

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

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

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

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]