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COLL

2015-10-12T18:52:23Z

Dudemanpp:

{{Substep Infobox
|name=COLL
|image=
|proposers=[[Lars Petrus]]
|variants=[[CLLEF]],[[OLLCP]]
|anames=Steps 5+6 ([[Petrus method]])
|year=
|subgroup=
|algs=42
|moves=9.78 (Optimal [[HTM]])
|purpose=
* [[Speedsolving]]
|previous=[[LL:EO cube state]]
|next=[[LL:EO+CO+CP cube state]]
}}

'''COLL''' (short for '''Corners of Last Layer''') is a 3x3x3 [[last layer]] [[substep]] in the [[CxLL]] group that solves (orients and permutes) the last layer corners while preserving the last layer edge orientation, leaving only edge permutation ([[EPLL]]). It is principally used as an [[add-on]] to [[Fridrich]], when the last layer edges are already oriented after F2L. COLL has 42 cases including mirrors (24 without). 2 of these are the adjacent and diagonal corner permutation.

COLL is not to be confused with [[CLL]], also short for "Corners of Last Layer." The difference is that CLL preserves the F2L but not the last layer edges orientation, so it leaves the LL edges scrambled and the next step would be full [[ELL]]. For some cases the CLL and the COLL are the same algorithm, but for other cases the CLL is much shorter. For CLL and COLL algorithms, see the page on [[CxLL Algorithms]].

One possible extension of COLL is [[ZBLL]]. This LL method solves the entire LL if the edges are already oriented, but it has almost 500 cases. Another one is [[OLLCP]] which solves the corner permutation and [[OLL|orients the last layer]] with a total of over 300 algorithms for all last layer cases.

== See also ==
* [https://www.speedsolving.com/wiki/index.php/Special:MediawikiAlgDB?mode=view&view=default&puzzle=3&group=COLL COLL Algorithms]
* [[ZBLL]]
* [[NMLL]]
* [[CLLEF]]
* [[CLL]], [[CLL algorithms (3x3x3)]]
* [[CMLL]]
* [[OLLCP]]
* [[CxLL Algorithms]]

== External links ==
* [http://www.cubezone.be/coll.html COLL Algorithms] By Lars Vandenbergh
* [http://www.stanford.edu/~leyanlo/ COLL Algorithms] By Leyan Lo
* [http://www.cubewhiz.com/coll.html Bob Burton's COLL Page]
* [http://jmbaum.110mb.com/coll.htm Jason Baum's COLL Page]
* [http://cube.danrcohen.com/coll.html Dan Cohen's COLL Page]

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

OLL

2010-12-06T09:05:49Z

Dudemanpp: /* OLL 30 */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=
|purpose=
* [[Speedsolving]]
}}
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]], usally followed by [[PLL]].

== 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=
|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}}

|
=== OLL 2 ===
{{case
|image=o2.gif
|name=
|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}}

|-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=
|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 U2 M U2 M U M' U2 M' U2 M' U'|OLL}}
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'|OLL}}
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M'|OLL}}
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|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|F U2 F' U L' U' B' R' U2 R U' B U L |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|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}
{{Alg|S U S2 U' L U L S L' U' L' |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}}

|

=== OLL 17 ===
{{case
|image=o17.gif
|name=
|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}}

=== 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|y2 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|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' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}

|}

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

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

{{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|y2 R' U' F U R U' R' F' R|OLL}}
{{Alg|L' U' B U L U' L' B' L|OLL}}

|

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

{{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 U B' U' R' U R B R'|OLL}}
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}

|-valign="top"
|

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

{{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|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 ===
[[Image:o44.gif]]

{{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 ===
[[Image:o36.gif]]

{{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 ===
[[Image:o38.gif]]

{{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 ===
[[Image:o48.gif]]

{{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 ===
[[Image:o47.gif]]

{{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}}

|-valign="top"
|

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

{{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 ===
[[Image:o54.gif]]

{{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}}

|-valign="top"
|

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

{{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 ===
[[Image:o50.gif]]

{{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|U' F' R U2 R' U2 R' F2 R F'|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 ===
[[Image:o34.gif]]

{{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' (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 ===
[[Image:o46.gif]]

{{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 ===
[[Image:o33.gif]]

{{Alg|R U R' U' R' F R F'|OLL}}
{{Alg|R' U' R U l U' R' U (x)|OLL}}

|

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

{{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 ===
[[Image:o55.gif]]

{{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}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

|

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

|-valign="top"
|

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

{{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 ===
[[Image:o52.gif]]

{{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 ===
[[Image:o5.gif]]

{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|y2 l' U2 L U L' U l'|OLL}}

|

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

{{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 ===
[[Image:o39.gif]]

{{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 ===
[[Image:o40.gif]]

{{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 ===
[[Image:o7.gif]]

{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

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

{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

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

{{Alg|r' R2 U R' U R U2 R' U r R'|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 ===
[[Image:o12.gif]]

{{Alg|F R U R' U' F' y 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}}

|}

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

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

{{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}}

|

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

{{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 ===
[[Image:o35.gif]]

{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}

|

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

{{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 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 ===
[[Image:o13.gif]]

{{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 ===
[[Image:o14.gif]]

{{Alg|R' F R U R' F' R 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' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}

|-valign="top"
|

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

{{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 ===
[[Image:o16.gif]]

{{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 ===
[[Image:o29.gif]]

{{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}}

|

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

{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|y2 F U R U' x' U R' D' R U' R'|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|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}

|-valign="top"
|

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

{{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}}

|

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

{{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}}

|}

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

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

{{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 ===
[[Image:o57.gif]]

{{Alg|R U R' U' r R' U R U' r'|OLL}}
{{Alg|(M' U)3 (M' U2) (M' U)3 M|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 U2 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__

Forum cubers by location

2010-04-10T03:37:15Z

Dudemanpp: /* United States */

__NOTOC__
=Speedsolving.com Forum Cubers by Location=

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

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

==Africa==

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

==Asia==

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

==Europe==

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

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

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

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

==North America==

===Canada===
:'''Saskatchewan'''
::[http://www.speedsolving.com/forum/member.php?u=1569 Connorcuber]
:'''Ontatio'''
::[http://www.speedsolving.com/forum/member.php?u=1144 Sa967St]
:'''Manitoba'''
::[http://www.speedsolving.com/forum/member.php?u=4060 miniGOINGS]

===United States===
:'''AL (Alabama)'''
::[http://www.speedsolving.com/forum/member.php?u=1119 Adam Morgan (ajmorgan25)]
:'''CA (California)'''
::[http://www.speedsolving.com/forum/member.php?u=1707 Unknown.soul]
::'''San Francisco Bay Area'''
:::[http://www.speedsolving.com/forum/member.php?u=182 deathbypapercutz]
:::[http://www.speedsolving.com/forum/member.php?u=2 Lucas Garron]
:::[http://www.speedsolving.com/forum/member.php?u=657 whatsinacube]
::'''Los Angeles Area'''
:::[http://www.speedsolving.com/forum/member.php?u=765 Dene] (first half of 2009)
:::[http://www.speedsolving.com/forum/member.php?u=808 qqwref] - [[User:Qqwref|qqwref]] (when at college)
:'''CO (Colorado)'''
::[http://www.speedsolving.com/forum/member.php?u=1 PJK]
::[http://www.speedsolving.com/forum/member.php?u=2923 JTW2007]
:'''FL (Florida)'''
::[http://www.speedsolving.com/forum/member.php?u=348 Dudemanpp]
:'''GA (Georgia)'''
::[http://www.speedsolving.com/forum/member.php?u=1042 Hadley4000]
:'''IN (Indiana)'''
::[http://www.speedsolving.com/forum/member.php?u=402 Mike Hughey] - Indianapolis
:'''KY (Kentucky)'''
::[http://www.speedsolving.com/forum/member.php?u=872 Shaden Smith] - Lexington
:'''MA (Massachusetts)'''
::[http://www.speedsolving.com/forum/member.php?u=131 Tim Reynolds] - Cambridge
:'''MD (Maryland)'''
::[http://www.speedsolving.com/forum/member.php?u=1614 Brett]
::[http://www.speedsolving.com/forum/member.php?u=768 fanwuq]
:'''MN (Minnesota)'''
::[http://www.speedsolving.com/forum/member.php?u=640 Bryan Logan] - Rochester
::[http://www.speedsolving.com/forum/member.php?u=4831 Logan (Kelly)] - Hastings
:'''MO (Missouri)'''
::[http://www.speedsolving.com/forum/member.php?u=1403 Vault312] (during summer)
:'''NC (North Carolina)'''
::[http://www.speedsolving.com/forum/member.php?u=63 cmhardw] - Morrisville
::[http://www.speedsolving.com/forum/member.php?u=147 Athefre]
:'''NJ (New Jersey)'''
::[http://www.speedsolving.com/forum/member.php?u=1309 PatrickJameson]
::[http://www.speedsolving.com/forum/member.php?u=647 macky] - Princeton
::[http://www.speedsolving.com/forum/member.php?u=902 Auburn Manlangit] - Northern NJ
::[http://www.speedsolving.com/forum/member.php?u=76 Bob] - Kearny
:'''NM (New Mexico)'''
::[http://www.speedsolving.com/forum/member.php?u=1518 Kiel0]
:'''NY (New York)'''
::[http://www.speedsolving.com/forum/member.php?u=131 Tim Reynolds] Pleasantville (when not at school)
::[http://www.speedsolving.com/forum/member.php?u=808 qqwref] - [[User:Qqwref|qqwref]] (when at home)
:'''OH (Ohio)'''
::[http://www.speedsolving.com/forum/member.php?u=1358 JBCM627]
::[http://www.speedsolving.com/forum/member.php?u=1493 CAT13]
::[http://www.speedsolving.com/forum/member.php?u=912 Pcharles93]
:'''PA (Pennsylvania)'''
::[http://www.speedsolving.com/forum/member.php?u=2250 That70sShowDude]
::[http://www.speedsolving.com/forum/member.php?u=1403 Vault312] (during school year)
:'''TX (Texas)'''
::[http://www.speedsolving.com/forum/member.php?u=2160 Fobo911]
:'''UT (Utah)'''
::[http://www.speedsolving.com/forum/member.php?u=1889 not_kevin]
:'''VA (Virginia)'''
::[http://www.speedsolving.com/forum/member.php?u=792 Siraj A.]
:'''WV (West Virginia)'''
::[http://www.speedsolving.com/forum/member.php?u=7077 nlcuber22]
::[http://www.speedsolving.com/forum/member.php?u=7568 skatemaster78]
::[http://www.speedsolving.com/forum/member.php?u=7184 CitricAcid]

==Oceania==

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

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

==South America==

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

[[Category:Cubing Community]]

Rubik's Cube Fact sheet

2009-03-29T21:39:31Z

Dudemanpp: /* 3x3x3 Rubik's Cube facts */

== 3x3x3 Rubik's Cube facts ==
Here are some 3x3x3 Rubik's cube facts:
* It was originally known as the Magic Cube.
* It was invented by Ernö Rubik of Hungary in 1974, first patented in 1975, and first released in 1977.
* Over 300 million Rubik's Cubes and imitation cubes have been sold worldwide, making it the best-selling toy ever.
* There are 43,252,003,274,489,856,000 ways a cube can be scrambled - that's 12! * 8! * 2^10 * 3^7, 4.3 * 10^19 or 43 quintillion positions! To give you an idea of how big that number is, if there were one cube scrambled for every legal position, they would cover the surface of the earth about 150 times!
* The number of unsolved configurations on a Rubik's cube is a prime number.
* A normal cube has 21 pieces, consisting of one core, 8 corners, and 12 edges, and a total of 54 stickers.
* There exist computer optimal solvers of the Rubik's Cube, and all checked positions have had a solution of 20 moves or fewer, with a small number of positions (such as the [[superflip]]) having an optimal solution of 20 moves. Tom Rokicki has proved that all positions can be solved in 22 or fewer moves, so it is unknown what the exact upper bound is.
* The first official World Record for solving the Rubik's Cube was 22.95 seconds by [http://www.worldcubeassociation.org/results/p.php?i=1982THAI01 Minh Thai]; the current single solve record is 7.08 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2005AKKE01 Erik Akkersdijk], and the average of 5 record is 10.83 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2006TABU02 Yumu Tabuchi].

== 2x2x2 Cube facts ==
Here are some 2x2x2 Cube facts:
* The official name for this cube is the Pocket Cube or Mini Cube.
* Rubik patented the design for this cube in 1983.
* There are 7! * 3^6 or 3,674,160 positions to this cube. It is equivalent to solving only the corners of the Rubik's Cube.
* A 2x2x2 cube has just 8 pieces, all corner pieces, and a total of 24 tiles. Most mechanisms have a number of hidden internal pieces as well.
* The 2x2x2 cube can always be solved in 11 moves or fewer.
* The current single solve World Record is 0.96 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2005AKKE01 Erik Akkersdijk], and the average of 5 record is 3.28 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2004CHAM01 Edouard Chambon].

== 4x4x4 Cube facts ==
Here are some 4x4x4 Cube facts:
* The official name for this cube is Rubik's Revenge, although it was invented not by Rubik but by Péter Sebestény.
* The 4x4x4 has 7! * 3^6 * (24!)^2 / (4!)^6 positions. This is about 7.4 * 10^45.
* There are 56 pieces on this cube: 8 corner pieces, 24 edge pieces, and 24 center pieces. There are also some number of hidden internal pieces, depending on the brand. The 4x4x4 cube has a total of 96 stickers.
* It is unknown how many moves are required to solve a 4x4x4 cube, but it has been proven to be at least 31.
* The 4x4x4 supercube, the cube where all center pieces are distinguishable, is the only n x n x n supercube where the permutation of the edge pieces is completely independent of the rest of the cube.
* The current single solve record is 40.05 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2005AKKE01 Erik Akkersdijk], and the average of 5 record is 47.94 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2005AKKE01 Erik Akkersdijk].

== 5x5x5 Cube facts ==
Here are some 5x5x5 Cube facts:
* The official name for this cube is the Professor's Cube, and it was invented not by Rubik but by Udo Krell.
* The 5x5x5 has 12! * 8! * 2^10 * 3^7 * (24!)^3 / (4!)^12 positions. This is about 2.83 * 10^74.
* There are 99 pieces on this cube: one core, 8 corners, 36 edges, and 54 centers. There are also a total of 150 stickers.
* It is unknown how many moves are required to solve a 5x5x5 cube, but it has been proven to be at least 50.
* The current single solve record is 1 minute 13.28 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2008CHAN09 Hsuan Chang], and the average of 5 record is 1 minute 16.75 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2007COHE01 Dan Cohen].

PLL

2009-03-29T21:21:05Z

Dudemanpp: /* E Permutation */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2]
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* L R U2 x U' D' x' y U2 L R
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'

===U Permutation : a===

[[Image:u1.gif]]

* y2 M2 U M U2 M' U M2
* M2 U M' U2 M U M2
* R2 U' R' U' R U R U R U' R
* B2 U' M' U2 M U' B2
* y2 R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* y R2 U' y r U2 r' R U2 R' y' U' R2
* R U R' U' L' U' L U2 R U' R' U' L' U L

===U Permutation : b===

[[Image:u.gif]]

* y2 M2 U' M U2 M' U' M2
* M2 U' M' U2 M U' M2
* R' U R' U' R' U' R' U R U R2
* B2 U M' U2 M U B2
* y2 R2 U R U R' U' R' U' R' U R'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2
* L' U' L U R U R' U2 L' U L U R U R'

===Z Permutation===

[[Image:z.gif]]
* x' R U' R' U D R' D U' R' U R D2' F x
* x M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* M' U M2 U M2 U M' U2 M2 U'
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2

==Permutations of Corners Only==

===A Permutation : a===

[[Image:a1.gif]]

* x R' U R' D2 R U' R' D2 R2
* (L' B L') (F2 L B' L') (F2 L2)
* y2 z F2 R U2 R' U2 F2 L' U2 L U2
* y z' U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R

===A Permutation : b===

[[Image:a.gif]]

* y' x R2 D2 R U R' D2 R U' R
* (R B' R) F2 (R' B R) (F2 R2)
* y z U2 L' U2 L F2 U2 R U2 R' F2
* z' F2 L' U2 L U2 F2 R U2 R' U2
* y' R' U2 R U' L' U R U' L U R2 U2 R
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)
* z (U R' D r2 U') (R U r2' U') (D')

===E Permutation===

[[Image:e.gif]]

* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U r2 U R' U' r' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2

===G Permutation : a===

[[Image:g3.gif]]

* R2' u R' U R' U' R u' R2 y' R' U R
* y R2 D B' U B' U' B D' R2 F' U F
* R L U2 R' L' (y') R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* y L' U' L y' R2' u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y') R' U L' U2 R U' L (y) R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]

* y R2' u' R U' R U R' u R2 B U' B'
* R U R' F2 D' L U' L' U L' D F2
* L' R' U2 L R (y) L U' R U2 L' U R'

===G Permutation : d===

[[Image:g.gif]]

* y L U' R U2 L' U R' y (R' L') U2 (R L)
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)
* F2 D' L U' L U L' D F2 R U' R'
* (l' U' U' L' U l F') (U' L U F R' F R)
* (y) L U' R U2 L' U R' (y') L' R' U2 L R

===J Permutation : a===

[[Image:j1.gif]]

* y2 R' U2 R U R' z' R2' U R' D R U'
* y2 L' R' U2 R U R' U2 L U' R U
* y2 F2 L' U' r U2 l' U R' U' R2
* y2 R' U2 R U R' U2' L U' R U L'
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R' U L' U2 R U' L R' U L' U2 R U' L
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* z U' R D' R2' U R' (U' D) R D' R2 U R' D' R'
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* y' R U2 R' U' R'F'R U2 R U2 R' F R U' R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
* R' U R' U' y R' F' R2 U' R' U R' F R F
* R' U R' U' y R' D R' D' R2 F' R' F R F

===Y Permutation===

[[Image:Y.gif]]

* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* F R U' R' U' R U R' F' R U R' U' R' F R F'
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* R' U' R F2 R' U R U y' R2 U' R2' U' R2
* F R U' R' U' R d R U R' B' R U' R2
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'

 {{PLL}}

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

OLL

2009-03-29T21:12:56Z

Dudemanpp: /* OLL 29 */

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

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'

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

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' F R' F' R U R U' R'
* 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]]

* 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'

=== 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
|}

=="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

||

=== 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'

=== 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']
||

=== 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

|}

=="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'

|}

=="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'

||

=== 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'

=== 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'

|}

==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)

||

=== 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')

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

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

||

=== 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'

=== 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'

|}

==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

||

=== 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
* 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'

=== 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

||

=== 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'

=== 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'

||

=== 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]]