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Category talk:Notable Cubers

2011-02-17T15:33:49Z

Sakarie:

The point of having this category is that you collect all the notable cubers here, and that all the people in the subcategories, such as [[Category:Notable Speedcubers]], is also a notable cuber. There are no Notable Speedcuber that ISN'T a notable cuber, which means that there is NO reason to put people in both categories. Is there any easy way to correct this? [[User:Sakarie|Sakarie]] 17:13, 16 February 2011 (EST)

:But there are notable cubers that are not speedcubers, like Rubik himself, the first one ever to solve a cube (that is if we ignore Börje, he was most likley lying about his 1963 solve :P ). // [[User:Kenneth|Kenneth]] 05:58, 17 February 2011 (EST)

::Yes, but that wasn't what I said. All the notable cubers that aren't speedcubers can go into the "Notable Cubers" but it shouldn't be the other way around. [[User:Sakarie|Sakarie]] 10:33, 17 February 2011 (EST)

Category talk:Notable Cubers

2011-02-16T22:13:04Z

Sakarie: Created page with "The point of having this category is that you collect all the notable cubers here, and that all the people in the subcategories, such as Category:Notable Speedcubers, is also..."

ELL

2011-02-16T20:52:06Z

Sakarie: /* 2-flip (Adjacent) */ +1

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

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

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

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

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

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

{{ELL}}

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

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

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

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

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

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

=ELL Algorithms=
{{Algnote}}

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

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

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

|

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

|-valign="top"
|

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

|
Smile =)
|}

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

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

|

=== U-PLL b ===
{{case
|image=ELL U-PLL (b).jpg
|name=U-PLL b
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|F2 U' M' U2 M U' F2}}
{{Alg|M2 U M U2 M' U M2}}
{{Alg|R U' R U R U R U' R' U' R2}}

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

|

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

|}

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

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

|

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

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

|-valign="top"
|

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

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

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

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

|}

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

|

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

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

|-valign="top"
|

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

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

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

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

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

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

==No edges in position==

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

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

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

|-valign="top"
|
=== RL-flip Z-PLL ===
{{case
|image=ELL Z2ORL.jpg
|name=Opposite flip Z-PLL a
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U M U' M' U M U M' U2 M}}

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

|}

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

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

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

|-valign="top"
|

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

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

|}

{{ELL}}

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

__NOTOC__

ELL

2011-02-16T20:48:51Z

Sakarie: /* 2-flip (Opposite) */ +1

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

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

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

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

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

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

{{ELL}}

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

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

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

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

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

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

=ELL Algorithms=
{{Algnote}}

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

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

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

|

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

|-valign="top"
|

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

|
Smile =)
|}

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

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

|

=== U-PLL b ===
{{case
|image=ELL U-PLL (b).jpg
|name=U-PLL b
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|F2 U' M' U2 M U' F2}}
{{Alg|M2 U M U2 M' U M2}}
{{Alg|R U' R U R U R U' R' U' R2}}

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

|

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

|}

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

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

|

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

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

|-valign="top"
|

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

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

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

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

|}

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

|

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

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

|-valign="top"
|

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

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

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

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

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

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

==No edges in position==

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

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

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

|-valign="top"
|
=== RL-flip Z-PLL ===
{{case
|image=ELL Z2ORL.jpg
|name=Opposite flip Z-PLL a
|methods=[[ELL]]
|optimal=
|text=
}}
{{Alg|M' U M U' M' U M U M' U2 M}}

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

|}

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

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

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

|-valign="top"
|

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

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

|}

{{ELL}}

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

__NOTOC__

Corner Orientation

2011-02-16T13:06:59Z

Sakarie: /* S */ Added one

{{Method Infobox
|name=Corner Orientation
|image=COinfo.png
|anames=CO
|variants=[[OCLL]]
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
}}
'''Corner Orientation''', abbrevaited '''CO''', the [[orientation]] of a [[cube]]'s [[corner]]s. There are three possible corner cubie orientations. CO is a [[sub step]] in many [[method]]s.

For the [[last layer]] of the [[3x3x3 cube]] there are three main variations used for the seven cases of CO, one that is named [[Corner Orientation#Pure CO|pure CO]] wich orients the corners without affecting anything else, not even corner permutation, one preserves edge orientation wich is [[OCLL]] (OLL 21 - 27) and the last variation orients the corners ignoring edges (use any [[OLL]] that twists the same corners for that).

The separation of the corners to their correct layers on the [[Square-1]] is often wrongly named "corner orientation".

'''Algorithms'''; at this page you can find algortihms for two diffrent variations of CO;
* [[Corner Orientation#Pure CO|Pure CO]]: orients corners preserving edge orientation and both corner and edge permutation.
* [[Corner Orientation#OCLL-EPP|OCLL-EPP]]: orients corners preserving edge orientation and permutation for the edges but not the corners (this method is seldomly used).

== See also: ==
* [[Orientation]]
* [[Orient]]
* [[Permutation]]
* [[Edge Orientation]]
* [[Corner Permutation]]
* [[OCLL]]
* [[Winter Variation]]
* [[CLS]]
* [[Partial Corner Control]]
= Pure CO =
'''Usage:''' Besides that these cases are a group in [[L4C]], [[L3C]], [[ZBLL]], [[ZZLL]];

[[3OP]] is a [[blindfold method]] that orients the pieces before they are placed into position, the algorithms here solves the corner orientation in at the most 3 steps, first, if needed two pieces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom layer. ''Algs for pure orientation of the edges can be found at the [[ELL|ELL page]]''.

Any other BLD method, to fix orientation for corners that are in position but unoriented from the scramble (a few setup moves to get the pieces into the same layer may be needed then).

For [[FMC]] to solve the last pieces (but that won't give any WR, better to try some diffrent start of the last layer that gives a easier case in the end).

===Algorithms:===
All cases here have long [[algorithm]]s, the H case is actually the worst LL case of them all and the pi case is second worst. The good thing is that all cases are solveable using only two sides (RU [[2-gen]]). There are diffrent sections for diffrent types of algorithms, first is optimal 2-gen followed by 2-gens of any length. All cases can be solved using two or more [[Sune]], the third section is for these combinations (double, anti and mirrors included). Next comes algs optimal in [[Half Turn Metric]], using as many sides that is needed for that (2-6) and the last section is for any other alg that solves the case.

{{Algnote}}

==Two corners unoriented==
Note that the T-twist is the same case as the U-twist if you reorient the cube (for these images that will be z' y2).
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== U ===
{{case |image=Pure twist U.jpg
|name=U, [[Headlights]], Superman
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U2 R' U R' U2 R U2 R U R' U' R' U R U2}}

'''Any other 2-gen:'''
{{Alg|!}}

'''Sune combos:'''
{{Alg|(R U2 R' U' R U' R') (L' U2 L U L' U L)}}

'''HTM optimal:'''
{{Alg|F U' R2 U R2 U F U' F2 D R2 D' R2}}

'''Any other:'''
{{Alg|(x') U2 R' U' R U' R' L' U2 L U L' U L R (x)}}
{{Alg|(z') (U R U' R')*2 L' (R U R' U')*2 L (z)}}
{{Alg|(y2) (R U R' U')*2 L' (U R U' R')*2 L}}

|

=== T ===
{{case |image=Pure twist T.jpg
|name=T
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U R2 U' R U' R2 U R2 U R U' R' U' R U R2}}

'''Any other 2-gen:'''
{{Alg|!}}

'''Sune combos:'''
{{Alg|(L' U' L U' L' U2 L) (R U R' U R U2 R')}}

'''HTM optimal:'''
{{Alg|U R2 U' B R2 D' R2 D B2 U' B U R2}}

'''Any other:'''
{{Alg|(z') (R U R' U')*2 L' (U R U' R')*2 L (z)}}
{{Alg|(y2) (U R U' R')*2 L' (R U R' U')*2 L}}

|-valign="top"
|

=== L ===
{{case |image=Pure twist L.jpg
|name=L, Bowtie
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U' R' U2 R' U2 R U R' U R U2 R U2 R' U'}}

'''Any other 2-gen:'''
{{Alg|!}}

'''Sune combos:'''
{{Alg|B' (R U2 R' U' R U' R') (L' U2 L U L' U L) B}}

'''HTM optimal:''' (12 move commutator)
{{Alg|U2 (R' B D2 B' R) U2 (R' B D2 B' R)}}
{{Alg|(F L' D2 L F') U2 (F L' D2 L F') U2}}

'''Any other:'''
{{Alg|R U' R' L' U2 L U L' U L R U2 R' U'}}

|
|}

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

|-valign="top"
|
=== S ===
{{case |image=Pure twist S.jpg
|name=S, Sune
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U R' U R2 U R' U R2 U R' U R U2 R U2 R2}}

'''Any other 2-gen:'''
{{Alg|R U R2 U' R2 U R U R' U' R U R U R U' R' U}}

'''Sune combos:'''
{{Alg|(y) (L' U2 L U L' U' L U L' U L) (y') (R U2 R' U' R U' R') U2}}

'''HTM optimal:'''
{{Alg|U' B U' F U2 B2 D' R2 U D F' U' B}}

'''Any other:'''
{{Alg|(y) U2 R' U2 R U R' U R' d M' U2 M d' L2}}

|

=== -S ===
{{case |image=Pure twist aS.jpg
|name=-S, Antisune
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R}}

'''Any other 2-gen:'''
{{Alg|!}}

'''Sune combos:'''
{{Alg|(y2) (R U2 R' U' R U R' U' R U' R') (y) (L' U2 L U L' U L) U2}}

'''HTM optimal:'''
{{Alg|U R' U L U' D' F2 D R2 U2 L' U R'}}

'''Any other:'''
{{Alg|U2 R U2 R' U' R U' R d M U2 M' d L2}}

|}

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

|-valign="top"
|
=== H ===
{{case |image=Pure twist H.jpg
|name=H
|methods=[[L4C]], [[BLD]]
|optimal=16 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R2 U' R2 U' R U2 R U2 R U' R2 U' R2 U R U}}

'''Any other 2-gen:'''
{{Alg|(y) (R U R' U) (R U' R' U) (R U2' R') (R2 U' R' U') (R U R U) (R U' R) }}

'''Sune combos:'''
{{Alg|!}}

'''HTM optimal:'''
{{Alg|R U2 F2 R' U' F R' U2 F' U2 R2 F U R' F U2}}

'''Any other:'''
{{Alg|F U R d' R U' R' d R' U R d' R U' R' d l' U' (x')}}
{{Alg|(r U2 R' U' R U R' U' r') (M U' M' U2 M U' M')}}
{{Alg|(L' U' L U' L' U L U' L' U2 L) (R U R' U R U' R' U R U2' R')}}
{{Alg|d R2 U2 R' (y x) M2 U M2 U (x' y') U2 R2 d' M2 U M2}}

|

=== pi ===
{{case |image=Pure twist pi.jpg
|name=pi, Bruno
|methods=[[L4C]], [[BLD]]
|optimal=15 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' U}}

'''Any other 2-gen:'''
{{Alg|!}}

'''Sune combos:'''
{{Alg|!}}

'''HTM optimal:'''
{{Alg|U R L' D' R2 U2 R' D R2 U2 L U' L2 B2 L2}}

'''Any other:'''
{{Alg|B (U L U' L') (U L U') L2 (x') U' M' U L U' M (x)}}
{{Alg|(y2) F U R U' R' U R U' R' F' r U R' U' M U R U' R'}}
{{Alg|(y' x) U' L U2 R' U2 L' U2 R U' (x' y') M' U' M U2 M' U' M U2}}

|}

= OCLL-EPP =
'''Orientation of the corners of the last layer - edges permutation preserved'''; orients the [[last layer]] corners preserving edge permutation but ignoring corner permutation.

'''Usage'''; to solve the [[last four corners]] in two looks if the edges are solved (3-look [[LLEF]], OCLL-EPP and [[CPLL]], total 26 algs. 4-look [[EO]], [[EP]], OCLL-EPP and CPLL, total 16 algs).

Average movecount is 9.63 turns optimally, CPLL is 9.12 turns optimally wich gives 19 moves on average for solving L4C in 2-looks like this.

===Algorithms:===
{{Algnote}}

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

|-valign="top"
|
=== U (EPP) ===
{{case |image=OCLL-EPP U.jpg
|name=U, Headlights, Superman
|methods=2-look [[L4C]]
|optimal=9 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U' R' U2 R' U2 R U R' U R U2 R U2 R' U' R}}

'''HTM optimal:'''
{{Alg|R2 F2 R' B2 R F2 R' B2 R'}}
{{Alg|(z' y') U2 R2 U' L2 U R2 U' L2 U' (y z)}}

'''Any other:'''
{{Alg|R U2 R2 U L U' R2 U L' U R'}}
{{Alg|R' U2 R F' R' F U2 F' R F}}

|

=== T (EPP) ===
{{case |image=OCLL-EPP T.jpg
|name=T
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U' R' U R U2 R U2 R' U R' U2 R U2 R U}}

'''HTM optimal:'''
{{Alg|R' F' R B' R' F R B}}
{{Alg|(y) l U L' U' R' U L U' (x)}}

'''Any other:'''
{{Alg|F U F' R' F U' F' U R U'}}
{{Alg|(y') R U R' U' L' U R U' R' L}}

|-valign="top"
|

=== L (EPP) ===
{{case |image=OCLL-EPP L.jpg
|name=L, Bowtie
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U' R2 U2 R2 U R U' R U R2 U2 R2 U' R' U}}

'''HTM optimal:'''
{{Alg|R B' R' F R B R' F'}}
{{Alg|(x') U' R U L' U' R' U r}}

'''Any other:'''
{{Alg|U' F U R' U' R F' R' U R}}
{{Alg|R U R U' L' U R' U' M' (x')}}

|
|}

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

|-valign="top"
|
=== S (EPP) ===
{{case |image=OCLL-EPP S.jpg
|name=S, Sune
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}

'''HTM optimal:'''
{{Alg|(y) U L U' R' U L' U' R}}

'''Any other:'''
{{Alg|!}}

|

=== -S (EPP) ===
{{case |image=OCLL-EPP aS.jpg
|name=-S, Antisune
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U2 R U2 R2 U' R2 U' R' U R' U R}}

'''HTM optimal:'''
{{Alg|U' L' U R U' L U R'}}

'''Any other:'''
{{Alg|!}}

|}

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

|-valign="top"
|
=== H (EPP) ===
{{case |image=OCLL-EPP H.jpg
|name=H
|methods=2-look [[L4C]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R' U' R' U2 R' U R U' R U2 R2 U2 R' U'}}

'''HTM optimal:'''
{{Alg|R' F2 R2 U2 R' F2 R U2 R2 F2 R U2}}

'''Any other:'''
{{Alg|!}}

|

=== pi (EPP) ===
{{case |image=OCLL-EPP pi.jpg
|name=pi, Bruno
|methods=2-look [[L4C]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U' R U R' U R' U' R2 U R' U' R U' R2 U}}

'''HTM optimal:'''
{{Alg|R F' D2 F R' U' R F' D2 F R' U}}

'''Any other:'''
{{Alg|R' U L U' R U L2 U R U' L U R' U2}}

|}

[[Category:Puzzle Theory]]
[[Category:Cubing Terminology]]
[[Category:Sub Steps]]

__NOTOC__

Last Four Corners

2011-02-16T12:58:15Z

Sakarie:

{{Method Infobox
|name=Last Four Corners
|image=LLEF.png
|anames=L4C
|steps=1
|algs=84
|moves=11.73 (Optimal [[HTM]])
|purpose=
* [[Speedsolving]], [[FMC]], [[BLD]]
}}

'''Last four corners''', abbrevaited '''L4C''' (or 4LC), is a [[method]] that solves the [[last layer]] corners preserving all the rest, a sub group of [[ZBLL]] and [[ZZLL]]. L4C is and is not a method in the [[CxLL]] group, not becuse it has twice the number of cases as all the other methods of the group (42/84).

'''Usage:'''
* For a 2-look last layer this is preceeded with [[LLEF]] (ELL-CLL).
* [[FMC]], aspecially linear FMC to solve the last layer corners but also normal FMC where a block + edge skeleton leaves 4 corners in diffrent layers, that are setup to one side and solved using L4C (not so effective but as a last resort).
* [[BLD]], the sub group [[L3C]] is used by many freestylers and is also a part of the [[Beyer-Hardwick Method]]. E and X cases are double 2-cyles, that can solve 4 corners in one go if the case is represented in the scramble or if it is easy to setup.

'''See also:'''
* [[Last Three Corners]]
==External links==
* [http://emsee.110mb.com/Speedcubing/ZZLL/No%20parity.html Michal Hordecki's algorithms for the last 4 corners]

{{L4C}}
==2-look L4C==
It is possible to solve most L4C in two looks using 3-cycle [[commutator]]s (see [[L3C]]). The method is to use the first 3-cycle to solve one piece and at the same time move any placed but twisted corner out from position (to avoid the pure twists that uses long algs) and then follow it up with a second 3-cycle. This will solve all cases but the pure twists with 4 corners wrong, that you can solve in two looks using only the U-twist and puzzle orientations, the other pure cases, T and U use the U-twist, L and S; cycle the twisted corners using any 3-cycle and then the appropiate cycle to move them back.

Another way is to use COs that preserves edges but not corner permutation (see [[Corner Orientation#OCLL-EPP|OCLL-EPP]]) and then end the solve using [[CPLL]]. This will use lesser algs but more turns than the first approach.

=L4C Cases=
Because edges are solved at this point you cannot AUF as in [[CxLL]] so the number of cases is quadrupled, but because you cannot have parity that is reduced again by factor 2. The orientations are the usual seven [[CO]]s plus the solved case ([[CPLL]]). The permutations (with fix position orientations) that occure are permutation solved, A-PLL a and b from all four angles, the two possible ways of E-PLL and finally X-PLL (that is H-PLL + U2) giving a total of twelve possible permutations. This gives a total of 8 * 12 = 96 cases, but it is possible to reduce that a bit because of duplicates. The whole group is larger, corner orientations are for real 27 so you will have 27 * 12 = 324, so the chance of a skip is 1:324.
===Recognition:===
For recognition the same systems that are used for [[CxLL]] works fine. You can find the CxLLs separated into the diffrent groups of the listing of the cases at this page, the CxLLs that have corners correctly permuted you can find in the group with pure CO and also in the X-PLL group, the CxLLs with diagonal permutation are in the E-PLL group and the CxLLs with adjacent permutation are in the A-PLL group (L3C/L3C 1-twist).

==Algorithms==
{{Algnote}}

The first [[algorithm]] given for each case is the optimal solution in [[half turn metric]].

===Sub groups:===
*'''Pure CO'''; see [[Corner Orientation]] for the seven cases of pure orientation and algorithms to solve them.
*'''All corners oriented'''; use the [[CPLL]]s for this, cases are [[A-PLL]] (a and b), [[E-PLL]] and [[H-PLL]] (X-PLL).
*'''One corner solved'''; Last Three Corners, 16 cases that have both orientation and permutation, these you can find at the [[L3C|L3C page]].

=L3C 1=
'''One corner placed but twisted:''' 54 in the group, 18 are pure twists (see [[Corner Orientation|CO]] for the cases), 36 cases are having both orientation and permutation and of these 18 are mirror cases.

==Two corners twisted==
The names for the cases are first the actual orientation (U, T or L) followed by the orientation of the inverse case (the case you get if you apply the alg on a solved cube) and last is the direction for the permutation cycle (a or b).
----
{|border="0" width="100%" valign="top" cellpadding="3"

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

|-valign="top"
|
=== ULa ===
[[File:L4C 1CW Ua.jpg]]

{{Alg|R' F' L F R F' L F' R2 F L2 F' R2 F2}}

|

=== ULb ===
[[File:L4C 1CCW Ub.jpg]]

{{Alg|(y) L F R' F' L' F R' F L2 F' R2 F L2 F2}}

|-valign="top"
|

=== LUa ===
[[File:L4C 1CW Lb.jpg]]

{{Alg|(y) F2 L2 F' R2 F L2 F' R F' L F R F' L'}}

|

=== LUb ===
[[File:L4C 1CCW Lb.jpg]]

{{Alg|F2 R2 F L2 F' R2 F L' F R' F' L' F R}}

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

|-valign="top"
|
=== TLa ===
[[File:L4C 1CCW Ta.jpg]]

{{Alg|B' U B R2 B R2 U' R2 U B2 U' B R2}}

|

=== TLb ===
[[File:L4C 1CW Tb.jpg]]

{{Alg|(y) B U' B' L2 B' L2 U L2 U' B2 U B' L2}}

|-valign="top"
|

=== LTa ===
[[File:L4C 1CCW La.jpg]]

{{Alg|(y) L2 B U' B2 U L2 U' L2 B L2 B U B'}}

|

=== LTb ===
[[File:L4C 1CW La.jpg]]

{{Alg|R2 B' U B2 U' R2 U R2 B' R2 B' U' B}}

|-valign="top"
| bgcolor="f0f4f8" |
For the following cases mirror and inverse are the same.
| bgcolor="f0f4f8" |
Mirror/inverse to the side.

|-valign="top"
|

=== TTa ===
[[File:L4C 1CW Ta.jpg]]

{{Alg|(y) U F R B U2 B' U B U2 B2 R B R2 F'}}

|

=== TTb ===
[[File:L4C 1CCW Tb.jpg]]

{{Alg|U' F' L' B' U2 B U' B' U2 B2 L' B' L2 F}}

|-valign="top"
|

=== UUa ===
[[File:L4C 1CCW Ua.jpg]]

{{Alg|(y) R B L' B L' D2 L D2 B' L B2 R' B}}

|

=== UUb ===
[[File:L4C 1CW Ub.jpg]]

{{Alg|R B L' B L' D2 L D2 B' L B2 R' B}}

|}

==Three corners twisted==
The names here are following the images, the first letter is the orientation, either Sune (S) or Antisune (-S), the second is the direction for the permutation cycle that is either a or b and in the parentesis is the location of the oriented corner that is one of three positions (BR, RF or FL).
----
{|border="0" width="100%" valign="top" cellpadding="3"

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

|-valign="top"
|

=== Sa (RF) ===
[[File:L4C 1CW S1a.jpg]]

{{Alg|U R2 D R' U2 R D' R' U L' U R' U' L}}

|

=== -Sb (RF) ===
[[File:L4C 1CCW S1b.jpg]]

{{Alg|(y) U' L2 D' L U2 L' D L U' R U' L U R'}}

|-valign="top"
|

=== Sa (BR) ===
[[File:L4C 1CW S3a.jpg]]

{{Alg|(y) R U' L' U R' U L' D' L U2 L' D L2 U}}

|

=== -Sb (FL) ===
[[File:L4C 1CCW S3b.jpg]]

{{Alg|L' U R U' L U' R D R' U2 R D' R2 U'}}

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

|-valign="top"
|

=== -Sa (BR) ===
[[File:L4C 1CCW S3a.jpg]]

{{Alg|R L B R' F R B' R2 F' L' F R F'}}

|

=== Sb (FL) ===
[[File:L4C 1CW S3b.jpg]]

{{Alg|(y) L' R' B' L F' L' B L2 F R F' L' F}}

|-valign="top"
|

=== -Sa (RF) ===
[[File:L4C 1CCW S2a.jpg]]

{{Alg|(y) F' L F R' F' L2 B' L F L' B R L}}

|

=== Sb (RF) ===
[[File:L4C 1CW S2b.jpg]]

{{Alg|F R' F' L F R2 B R' F' R B' L' R'}}

|-valign="top"
| bgcolor="f0f4f8" |
For the following cases mirror and inverse are the same.
| bgcolor="f0f4f8" |
Mirror/inverse to the side.

|-valign="top"
|

=== Sa (FL) ===
[[File:L4C 1CW S2a.jpg]]

{{Alg|R U' L' U2 R2 U' R' U' L U F2 R2 F2}}

|

=== -Sb (BR) ===
[[File:L4C 1CCW S2b.jpg]]

{{Alg|(y) L' U R U2 L2 U L U R' U' F2 L2 F2}}

|-valign="top"
|
=== -Sa (FL) ===
[[File:L4C 1CCW S1a.jpg]]

{{Alg|U2 R U2 R' F U2 F L' F' U2 F L F2}}

|

=== Sb (BR) ===
[[File:L4C 1CW S1b.jpg]]

{{Alg|(y) U2 L' U2 L F' U2 F' R F U2 F' R' F2}}

|}

==Four corners twisted==
The names for the cases are first orientation (H or pi) followed by the direction for the permutation cycle (a or b). In the parentesis is the orientation for the placed corner (+ or -) and for the pi cases also if this corner is on the U or the T side of the pi (For H it is only one situation).
----
{|border="0" width="100%" valign="top" cellpadding="3"

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

|-valign="top"
|

=== Ha (+) ===
[[File:L4C 1CW Ha.jpg]]

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

|

=== Hb (-) ===
[[File:L4C 1CCW Hb.jpg]]

{{Alg|(y) U2 L F' L' F U2 L2 B' R B' R' B2 L2}}

|-valign="top"
|

=== pia (T+) ===
[[File:L4C 1CW pi2a.jpg]]

{{Alg|(y) L2 B2 R B R' B L2 U2 F' L F L' U2}}

|

=== pib (T-) ===
[[File:L4C 1CCW pi2b.jpg]]

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

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

|-valign="top"
|

=== Ha (-) ===
[[File:L4C 1CCW Ha.jpg]]

{{Alg|(y) F2 L U L2 F2 D F2 D' L F2 L U' L'}}

|

=== Hb (+) ===
[[File:L4C 1CW Hb.jpg]]

{{Alg|F2 R' U' R2 F2 D' F2 D R' F2 R' U R}}

|-valign="top"

|

=== pia (U-) ===
[[File:L4C 1CCW pi1a.jpg]]

{{Alg|R' U' R F2 R D' F2 D F2 R2 U R F2}}

|

=== pib (U+) ===
[[File:L4C 1CW pi1b.jpg]]

{{Alg|(y) L U L' F2 L' D F2 D' F2 L2 U' L' F2}}

|-valign="top"
| bgcolor="f0f4f8" |
For the following cases mirror and inverse are the same.
| bgcolor="f0f4f8" |
Mirror/inverse to the side.

|-valign="top"
|

=== pia (U+) ===
[[File:L4C 1CW pi1a.jpg]]

{{Alg|U2 F U2 F' U2 F' L F' R' F' R F' L'}}

|

=== pib (U-) ===
[[File:L4C 1CCW pi1b.jpg]]

{{Alg|L F R' F R F L' F U2 F U2 F' U2}}

|-valign="top"
|

=== pia (T-) ===
[[File:L4C 1CCW pi2a.jpg]]

{{Alg|R2 U R2 B' D R2 D' R2 B D' F2 D F2 U'}}

|

=== pib (T+) ===
[[File:L4C 1CW pi2b.jpg]]

{{Alg|U F2 D' F2 D B' R2 D R2 D' B R2 U' R2}}

|}

----

=Four corners wrong (E)=
16 cases, two are [[E-PLL]], leaving 14.

Some cases are order 2 and some are order 6 but in practice most works as 2-cycles if you add a y2. The rest of the order 6 cases may have a mirror or a inverse.
----
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
| bgcolor="f0f4f8" |
'''Order 2'''
| bgcolor="f0f4f8" |
'''Order 6''', but adding y2 makes the inverse case the same as this, in practice a 2-cycle.

|-valign="top"
|
=== Uea ===
[[File:L4C UE (a).jpg]]

{{Alg|F R2 B2 D2 R U2 L' F2 D2 L U2 R F'}}

|

=== Ueb ===
[[File:L4C UE (b).jpg]]

{{Alg|R' F' U' F R B L F U F' L' B'}}
{{Alg|(y2) r' U' M' F' M U M' F R}}

|-valign="top"
| bgcolor="f0f4f8" |
'''Order 2'''
| bgcolor="f0f4f8" |
'''Order 6''', but adding y2 makes the inverse case the same as this, in practice a 2-cycle.

|-valign="top"
|

=== Tea ===
[[File:L4C TE (a).jpg]]

{{Alg|U R U' R2 F' L' F R2 U R' U' F' L F}}

|

=== Teb ===
[[File:L4C TE (b).jpg]]

{{Alg|R U' F' D2 F2 D' F' U' F D F2 D2 F U2 R'}}

|-valign="top"
|

|-valign="top"
| bgcolor="f0f4f8" |
For the following 3 * 2 cases mirror and inverse are the same.
| bgcolor="f0f4f8" |
Mirror/inverse to the side.

|-valign="top"
|

=== Lea ===
[[File:L4C LE (a).jpg]]

{{Alg|(y) F' U2 F2 R' F' R2 B L U2 L' B' R' U2}}

|

=== Leb ===
[[File:L4C LE (b).jpg]]

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

|-valign="top"
|

=== Sea ===
[[File:L4C SE (a).jpg]]

{{Alg|(y') L U2 B' R B R' U2 L' B' U2 B2 U2 B' }}

|

=== -Seb ===
[[File:L4C aSE (a).jpg]]

{{Alg|R' U2 B L' B' L U2 R B U2 B2 U2 B}}

|-valign="top"
|

=== -Sea ===
[[File:L4C aSE (b).jpg]]

{{Alg|R L B R' F R F' B' L' F R' F'}}

|
=== Seb ===
[[File:L4C SE (b).jpg]]

{{Alg|(y') F R F' L B F R' F' R B' L' R'}}
{{Alg|(y') R2 U' R2 U' R2 U2 L U L' U' R2 U2 L U2 L'}}

|-valign="top"
| bgcolor="f0f4f8" |
'''Order 2''' (triple FRURUF)
| bgcolor="f0f4f8" |
'''Order 2'''

|-valign="top"
|

=== Hea ===
[[File:L4C HE (a).jpg]]

{{Alg|R U2 R2 F2 L D2 R' D2 R2 F2 L' U2}}
{{Alg|F (R U R' U')3 F'}}
{{Alg|L U2 R2 F2 R U2 R' F2 R2 U2 l' U2 M}}

|

=== Heb ===
[[File:L4C HE (b).jpg]]

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

|-valign="top"
| bgcolor="f0f4f8" |
'''Order 2'''
| bgcolor="f0f4f8" |
'''Order 6''', but adding y2 makes the inverse case the same as this, in practice a 2-cycle.

|-valign="top"
|

=== piea ===
[[File:L4C piE (b).jpg]]

{{Alg|U F U F2 R2 F2 U' F' U' L2 B' D2 B L2}}

|
=== pieb ===
[[File:L4C piE (a).jpg]]

{{Alg|U' R U' R2 D' R U2 R' U' F2 U F2 D R}}
{{Alg|U L' U L2 D L' U2 L U F2 U' F2 D' L'}}

|}

=Four corners wrong (X)=
8 to solve and one of these is [[X-PLL]], leaving 7, all solveable using only RU ([[2-gen]]).
----
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
| bgcolor="f0f4f8" |
'''Tx''' is the inverse of '''Ux'''.
| bgcolor="f0f4f8" |
These can be solved with optimal movecount with 2 [[conjugate]]s (first alg in the lists).

|-valign="top"
|
=== Ux ===
[[File:L4C UX.jpg]]

{{Alg|(y2) R2 B2 R F R' B2 R2 B' R' F' R B}}
{{Alg|U2 R2 U' R2 U2 R U R' U R' U R' U R2 U2 R}}

|

=== Tx ===
[[File:L4C TX.jpg]]

{{Alg|(y2) F R B' R' F' R2 F2 R' B R F2 R2}}
{{Alg|U2 R' U2 R2 U' R U' R U' R U' R' U2 R2 U R2}}

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'''Lx''' is self inverting and self mirroring, only one case here.
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Any variation of triple Sune/anti/fat/mirror to solve fast (but not optimally).

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|

=== Lx ===
[[File:L4C LX.jpg]]

{{Alg|L' U L2 F' L D' B L B' L2 D L' F U'}}
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'}}

|}

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

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'''Sx''' and '''-Sx''' are mirror cases.
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'Sune-Bruno' is the optimal alg.

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|

=== Sx ===
[[File:L4C SX.jpg]]

{{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}

|

=== -Sx ===
[[File:L4C aSX.jpg]]

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

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|

=== Hx ===
[[File:L4C HX.jpg]]

{{Alg|(y) L2 R D' R' U B2 U B2 U' R D L2 R' U'}}
{{Alg|R U2 R2 U2 R' U R' U' R U2 R U R U' R' U}}

|

=== Pix ===
[[File:L4C piX.jpg]]

{{Alg|F' R D2 R' F U' F' R D2 R' F U}}
{{Alg|(y) R U2 R2 U' R' U R2 U' R' U' R' U2 R' U2 R}}
{{Alg|L U' R' U L' U' R2 U' L' U R' U' L U2}}

|
|}

----
 {{L4C}}

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Sub Steps]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]

__NOTOC__

User:Sakarie

2008-10-11T13:17:27Z

Sakarie: New page: Hello! I'm from Sweden, and if you really need to know, you probably can find my real name with a little bit of work. I have large experience of Wikipedia, and therefore know how to d...

Hello!

I'm from [[Sweden]], and if you really need to know, you probably can find my real name with a little bit of work. I have large experience of Wikipedia, and therefore know how to do it in a good way. My username there is Sakarie too, if verification is needed. I have no idea really how much time I will spend here, but I'm giving it a try. Don't hesitate to ask if you found something weired I do, so that I could explain, or correct myself.

Speedcubing

2008-10-11T10:43:33Z

Sakarie: New page: '''Speedcubing''' is a sport, where you try to solve Rubik's cube or other puzzles as fast as possible. The person practicing this sport is called a speedcuber. {{stub}}

'''Speedcubing''' is a sport, where you try to solve [[Rubik's cube]] or other [[puzzle]]s as fast as possible. The person practicing this sport is called a [[speedcuber]].

{{stub}}

Speedcuber

2008-10-11T10:41:22Z

Sakarie: New page: A '''speedcuber''' is a person practicing the sport of speedcubing. {{stub}}

A '''speedcuber''' is a person practicing the sport of [[speedcubing]].

{{stub}}