List of pretty patterns

2013-08-11T16:15:47Z

Abcabc: /* Examples of Simple Pretty Patterns */

A pretty pattern is an aesthetic state of a puzzle. Some cubers create and share pretty patterns for amusement.

==Examples of Simple Pretty Patterns==
===3x3x3 Cube===
{{Alg|M2 S2 E2}}
{{Alg|R2 L2 F2 B2 U2 D2}}

M2 E2 S2 - "Pons Asinorum", creates a checkerboard pattern on each face.

{{Alg|M2 S2 E2}}

M S M' S' - "6-Spot", moves all six center pieces around.

{{Alg|M S M' S}}

M2 S M2 S' - "4-Spot", moves four of the center pieces around.

{{Alg|M2 S M2 S'}}

(L2 F2 R2 B2)3 - creates a checkerboard on two opposite faces.

{{Alg|L2 F2 R2 B2 L2 F2 R2 B2 L2 F2 R2 B2}}

U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 - [[superflip]], flips all edges on the cube without affecting anything else.

{{Alg|U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2}}

(M U M U M U M U X Y')3 - easier version of superflip

{{Alg|M U M U M U M U X Y' M U M U M U M U X Y' M U M U M U M U X Y'}}

U2 B2 U2 B2 L R F2 D2 F2 U2 L' R' - Creates the 'Speedsolving.com' logo on a physical cube. Doing the algorithm again re-solves the cube.

{{Alg|U2 B2 U2 B2 L R F2 D2 F2 U2 L' R'}}

===2x2x2 Cube===
Some patterns can be found easily just by doing a combination of 180 degree twists.

R2 F2 R2 U2 - creates a checkerboard pattern on four faces.

F2 R2 U2 F2 - creates a striped pattern on each face.

F2 R2 F2 - creates stripes on four of the faces. (This is also a [[PBL]] case.)

F2 R2 U' F' U R' U2 R U' F' - creates a 'cube in a cube' effect.

===Other Puzzles===
Pretty patterns are possible for every puzzle, but for some puzzles (such as [[Megaminx]]) the algorithms to create them would be so long and unwieldy that pattern creators do not even try to create them. In these cases it is necessary to just solve the puzzle into the required pattern, which is in fact one possible way to create any pattern on any puzzle.

== External links ==
* [http://www.randelshofer.ch/rubik/patterns.html More examples of pretty patterns]
* [http://www.twistypuzzles.com/forum/viewtopic.php?t=10244 A TwistyPuzzles topic with patterns for the 6x6x6 and 7x7x7]
* [http://www.math.ucf.edu/~reid/Rubik/patterns.html]

[[Category:Concepts and knowledge]]
[[Category:Lists|pretty patterns]]

OLL

2013-08-11T15:55:46Z

Abcabc: /* OLL Algorithms */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=9.7 [[HTM]]
|purpose=<sup></sup>
* [[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)
<br>{{OLL}}

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

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

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

{{Algnote}}

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

{{OCLL}}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 1 ===
{{case
|image=o1.gif
|name=Runway, Blank
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}
{{Alg|(y) S U F R2 U' R2 U' R2 U R2 f'|OLL}}
{{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}

=== OLL 2 ===
{{case
|image=o2.gif
|name=zamboni
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}
{{Alg|(y2) F' (L' U' L U) F f' (L' U' L U) f|OLL}}
{{Alg|(y) r U r' U2 r U2 R' U2 R U' r'|OLL}}
{{Alg|(y) l' U' l U2 l' U2 L U2 L' U l|OLL}}
{{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}

|-valign="top"
|

=== OLL 3 ===
{{case
|image=o3.gif
|name=Anti-Nazi, Anti-Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y) f (R U R' U') f' U' F (R U R' U') F'|OLL}}
{{Alg|(y2) r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}
{{Alg|(y2) M U l' U2 l U L' U L M'|OLL}}

|

=== OLL 4 ===
{{case
|image=o4.gif
|name= Nazi, Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}
{{Alg|(y) r' R U' r U2 r' U' R U' R2' r|OLL}}
{{Alg|(y) M U' r U2' r' U' R U' R' M'|OLL}}
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}

|-valign="top"
|

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

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

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

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

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

=== OLL 32 ===
{{case
|image=o32.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}

{{Alg|R U B' U' R' U R B R'|OLL}}
{{Alg|(y2) x' R U R' D R U' R U' R' U R' D' x|OLL}}
{{Alg|(y2) F U R U' F' r U R' U' r'|OLL}}
{{Alg|R U x' U' F' R' F R U R'|OLL}}
{{Alg|R d L' d' R' U R B R'|OLL}}
{{Alg|S R U R' U' R' F R f'|OLL}}
{{Alg|(y) x' U' R U l' U' R' U' R U R' U R|OLL}}
{{Alg|R U2 R' U' F' U F R U' R'|OLL}}
{{Alg|l F U' F' R' F R U l'|OLL}}
|-valign="top"
|

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

|

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

|}

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

=== OLL 36 ===
{{case
|image=o36.gif
|name=Sea-Mew, Wario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}
{{Alg|(y2) (L' U' L U') (L' U L U) (L F' L' F)|OLL}}
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}

|

=== OLL 38 ===
{{case
|image=o38.gif
|name=Mario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}
{{Alg|(y2) R U R' U R U' R' U' R' F R F'|OLL}}
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}

|}

=="L" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 48 ===
{{case
|image=o48.gif
|name=Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F R U R' U' R U R' U' F'|OLL}}
{{Alg|(y2) f U R U' R' U R U' R' f'|OLL}}
{{Alg|(y) r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}
{{Alg|(y') r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}

|

=== OLL 47 ===
{{case
|image=o47.gif
|name=Anti-Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|(y') r U R' U R U2 r' R' U2 R U R' U R|OLL}}
{{Alg|R' U' x (R' U R U')2 x' U R|OLL}}

|-valign="top"
|

=== OLL 53 ===
{{case
|image=o53.gif
|name=Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}
{{Alg|(y') l U2 L U L' U' L U L' U' l'|OLL}}
{{Alg|(y2) r' U' R U' R' U R U' R' U2 r|OLL}}
{{Alg|(y') r' U2 R U R' U' R U R' U r|OLL}}
{{Alg|(y') r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}

|

=== OLL 54 ===
{{case
|image=o54.gif
|name=Anti-Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}
{{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}
{{Alg|(y2) l U L' U L U' L' U L U2 l' |OLL}}
{{Alg|(y) l' U2 L U L' U' L U L' U' l|OLL}}
{{Alg|(y2) r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}
{{Alg|(y) r' U2 R U R' U r R' U2 R U R' U R|OLL}}
{{Alg|(y) f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|(y') r U2 R' U' R U R' U' R U' r'|OLL}}

|-valign="top"
|

=== OLL 49 ===
{{case
|image=o49.gif
|name= right back squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}
{{Alg|(y2) r U' r2 U r2 U r2 U' r|OLL}}
{{Alg|(y2) R' F R' F' R2 d2 y' R' F R F'|OLL}}
{{Alg|(y2) r U2 R2' U' R2 U' r'R' U2 R|OLL}}
{{Alg|(y') x' U l' U2 R U2 l U2 R' U x|OLL}}
{{Alg|(y') R' U2 R U R' U R F R U R' U' F'|OLL}}

|

=== OLL 50 ===
{{case
|image=o50.gif
|name= right front squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|(y2) R' F R2 B' R2 F' R2 B R'|OLL}}
{{Alg|(y2) x' R' D R2 U' R2 D' R2 U R' x|OLL}}
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}
{{Alg|(y2) l' U l2 U' l2 U' l2 U l'|OLL}}
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}
{{Alg|(y') (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}
{{Alg|(y') F' R U2 R' U2 R' F2 R F'|OLL}}
{{Alg|(y) x' U' r U2 L' U2 r' U2 L U' x|OLL}}
{{Alg|(y') F R U' R' U' R U R' U R U' R' F'|OLL}}

|}

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

=== OLL 34 ===
{{case
|image=o34.gif
|name= City (C and T)
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}
{{Alg|(y2) R' U' R U y' x' R U L' U' M'|OLL}}
{{Alg|R U R' U' y' r' U' R U M'|OLL}}
{{Alg|(R U R' U') B' l' U R d' D|OLL}}
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}
{{Alg|R U R' d' l' U' L U r' R|OLL}}
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}
{{Alg|(y2) F R U R' U' R' F' r U R U' r'|OLL}}
{{Alg|(y2) R U2 R' F R U R' U' F' U R U R'|OLL}}

|

=== OLL 46 ===
{{case
|image=o46.gif
|name= Seein' Headlights(C and headlights)
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|R' U' R' F R F' U R|OLL}}
{{Alg|R' U' l' U l F' U R|OLL}}
{{Alg|(y) F U F l' U' l U' F'|OLL}}
{{Alg|R U l U' R' U F' l'|OLL}}
{{Alg|(y2) L F U' R U R' F' L'|OLL}}

|}

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

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces, Key
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|(R U R' U') (R' F R F')|OLL}}
{{Alg|(y2) (L' U' L U) (L F' L' F)|OLL}}
{{Alg|R' U' R U l U' R' U x|OLL}}
{{Alg|R U R' F' U' F R U' R'|OLL}}
|

=== OLL 45 ===
{{case
|image=o45.gif
|name= Suit up, T
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|F (R U R' U') F'|OLL}}
{{Alg|f' (U' L' U L) f|OLL}}
{{Alg|(y2) f (U R U' R') f'|OLL}}
{{Alg|(y2) F' (L' U' L U) F|OLL}}

|}

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

=== OLL 55 ===
{{case
|image=o55.gif
|name= Highway
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y) R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}
{{Alg|(y) F U' R2 D R' U2 R D' R2' U F'|OLL}}
{{Alg|(y) R' F R U R' F R U' R' F' R U M' U' M|OLL}}
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}
{{Alg|(y) r U2 R' U' R2 r' U R' U' r U' r'|OLL}}
{{Alg|(y) r U2 R' U' M (R U R' U') r U' r'|OLL}}
{{Alg|(y) F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}
{{Alg|(y) r U2 R' U' M R U R' U' r U' r'|OLL}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
{{case
|image=o56.gif
|name= Streetlights
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r U r' U R U' R' U R U' R' r U' r'|OLL}}
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}
{{Alg|r U r' U R U' R' M' U R U2 r'|OLL}}
{{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}

|-valign="top"
|

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

|

=== OLL 52 ===
{{case
|image=o52.gif
|name= rice cooker
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' d R' U R B|OLL}}
{{Alg|R U R' U R d' R U' R' F'|OLL}}
{{Alg|R' U' R U' R' U F' U F R|OLL}}
{{Alg|(y2) R' U' x U R' U' R U R' U' R x' U R |OLL}}
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}
{{Alg|(y) (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}

|}

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

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS)
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|(y2) R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}
{{Alg|(y2) l' U2 L U L' U l|OLL}}
{{Alg|(y) x' U' l2 U l F' l U|OLL}}
|

=== OLL 6 ===
{{case
|image=o6.gif
|name= right front wide antisune(RFWAS)
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|(y2) r U2 R' U' R U' r'|OLL}}
{{Alg|l U2 L' U' L U' l'|OLL}}

|}

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

=== OLL 39 ===
{{case
|image=o39.gif
|name=Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|(y2) l U' l' U' R U B U' R'|OLL}}
{{Alg|(y2) f' L F L' U' L' U L S|OLL}}
{{Alg|(y2) R U R' F' U' F U R U2 R'|OLL}}
{{Alg|(y2) R B' R' U' R U B U' R'|OLL}}
{{Alg|(y2) x' R U' x R' U' R U x' U F' l'|OLL}}

|

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

|}

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

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

|

=== OLL 8 ===
{{case
|image=o8.gif
|name= left wide sune(LWS) or right back wide sune(RBWS)
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|(y2) r' U' R U' R' U2 r|OLL}}
{{Alg|(y') B' R' F R' F' R2 B|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

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

|

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

|}

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

=== OLL 9 ===
{{case
|image=o9.gif
|name=Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y') R' U' R y' x' R U' R' F R U R' x|OLL}}
{{Alg|(y') R' U' R x U' R' U y R U y' R U' x'|OLL}}
{{Alg|(y') R U R' U' R' F R2 U R' U' F'|OLL}}
{{Alg|(y) L' U' L y l U' l' U l U l'|OLL}}
{{Alg|R' U' R U' R' U R' F R F' U R|OLL}}
{{Alg|(y') R' U' R y r U' r' U r U r'|OLL}}
{{Alg|(y2) R U2 R' M' U' R U' R' U M|OLL}}

|

=== OLL 10 ===
{{case
|image=o10.gif
|name=Anti-Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y') R U R' y R' F R U' R' F' R|OLL}}
{{Alg|(y') R U R' y' r' U r U' r' U' r|OLL}}
{{Alg|(y') R U R' U R' F R F' R U2 R'|OLL}}
{{Alg|(y') R' U' R U R B' R2 U' R U B|OLL}}

|-valign="top"
|

=== OLL 35 ===
{{case
|image=o35.gif
|name= fish salad
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|R U B' R B R2 U R U2 R'|OLL}}
{{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}
{{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}
{{Alg|(y') R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
{{case
|image=o37.gif
|name=mounted fish/ untying showlaces
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|(y) F R U' R' U' R U R' F'|OLL}}
{{Alg|(y) R' F R F' U' F' U F|OLL}}
{{Alg|(y) R' F R F' y' U' R' U R|OLL}}
{{Alg|(y) F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}
{{Alg|R U R' F' U F R U' R'|OLL}}
|}

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

=== OLL 13 ===
{{case
|image=o13.gif
|name=Gun, Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}
{{Alg|F U R U2 R' U' R U R' F'|OLL}}
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}
{{Alg|(y2) x' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|(y2) f R U R2 U' R' U R U' f'|OLL}}
{{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}
|

=== OLL 14 ===
{{case
|image=o14.gif
|name=Anti-Gun, Anti-Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|l' U l U l' U' l y' R U' R'|OLL}}
{{Alg|(y') R' U' y' R' U R2 B R' U' R' U R|OLL}}
{{Alg|(y2) B' U' R' U R2 B R' U' R' U R|OLL}}
{{Alg|(y2) x' L' U L F L' U' L x y' L U' L'|OLL}}
{{Alg|(y2) r' U r U r' U' r y R U' R'|OLL}}
{{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}

|-valign="top"
|

=== OLL 15 ===
{{case
|image=o15.gif
|name=Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) l' U' l L' U' L U l' U l|OLL}}
{{Alg|(y2) R' F' R L' U' L U R' F R|OLL}}
{{Alg|r' U' r R' U' R U r' U r|OLL}}

|

=== OLL 16 ===
{{case
|image=o16.gif
|name=Anti-Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) r U r' R U R' U' r U' r'|OLL}}
{{Alg|(y2) r U M U R' U' r U' r'|OLL}}
{{Alg|(y2) F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}

|}

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

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

=== OLL 30 ===
{{case
|image=o30.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}
{{Alg|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|R B' R' B R' U2 R U y R U R'|OLL}}
{{Alg|(y2) F U (R U2 R' U')2 F'|OLL}}
{{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}
{{Alg|(y2) F' L U L2 U L2 U2 L' U F|OLL}}
{{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}
{{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M x)|OLL}}
{{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}
{{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}
{{Alg|(y') (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}

|-valign="top"
|

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

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

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

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

=== OLL 57 ===
{{case
|image=o57.gif
|name=Mummy, H, I, Brick
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}
{{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}
{{Alg|R U R' U' r R' U R U' r'|OLL}}
{{Alg|x' M' U' R U M U' R' U x|OLL}}
{{Alg|R' U' R U M U' R' U r|OLL}}
{{Alg|M U M U M U2 M' U M' U M' |OLL}}
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' |OLL}}
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}
{{Alg|(y) M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}
{{Alg|(y) M' U M U M' U M U' M' U' M|OLL}}
{{Alg|(y) M' U' M U' M' U' M U M' U M|OLL}}
{{Alg|(y) M U' M' U' M U' M' U M U M'|OLL}}
{{Alg|(y) M U M' U M U M' U' M U' M'|OLL}}
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}

|}

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

<br>{{OLL}}

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

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OLL