Speedsolving.com Wiki - User contributions [en]

Template:U-PLL(a)

2012-12-26T11:13:52Z

Xishem: /* U Permutation : a */

===U Permutation : a===
{{case
|image=u1.gif
|name=U-PLL a
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|R U R' U R' U' R2 U' R' U R' U R|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|(y') M2 u' M u2 M u' M2|PLL}}
{{Alg|(y) M2 u' M' u2 M' u' M2|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}
{{Alg|(y) R2 U' (F B') R2 (F' B) U' R2|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) F2 U' (L R') F2 (L' R) U' F2|PLL}}
{{Alg|(y) R2 d' r U2 M U2 R' d R2|PLL}}
{{Alg|(y) R2 d' r U2 M U2 R' d R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y2)(R U R' U R U2' R') U (L' U' L U' L' U2 L) U'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|r U R' U R' U' R2 U' r' U R' U R|PLL}}

CxLL Pi D

2011-05-08T02:51:41Z

Xishem: /* CMLL */

== Pi D ==
For COLL this is one of the worst cases. No good algs are to be found, see [[COLL Pi D CubeX algorithms]] for a compleate list of algs up to 14 [[HTM]].

Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.
<br><hr>
{|
|| [[image:CxLL pi D.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is opposite colours in a bar at the side where two corners are pointing away from each other and on the side where the corners are pointing in the same direction the stickers of the bar has got uniform colours.
|}

===COLL===
* (y) R F' U' R2 (y) L U' L' U (y') R2 U F R' ... setup <sexy move> unsetup
* (y) R F' U' R2 (y) L U' L' d R2 d l U' (x) ... same, a little optimised
* R U2 (L' U) R' (U' L) R' U' R2 U' R2 U2 R ... Bruno got an implant
* (y2) R U2 R' U' R U (L' U) R' (U' L) U' R U' R' ... Double Antisune + inserts

===CLL===
* (y') R U R' U R U' (y) R U' l U' (x')
* L' U2 R d' R' U2 R d R' U2 L ... X Y -X (Conjugate)

===CMLL===
* (y) L' U' L U' L' U L F R U R' F'

===CLLEF===
* L F U' R U' R' U2 R U R' U F' L'

===CF / 2x2x2 (Waterman)===
* ...

===EG===
'''EG 2''' --> 2x2x2

'''EG 1'''
* R U R' L' U' L R U R'
* R U Ra' U' Ra U R' ... same but Ra notation

'''EG 0'''
* R U R' D L' U' L D' R U R' ... use D or (y') U

==Navigator==
{{CxLLnav}}

ELL

2011-01-08T02:45:14Z

Xishem: /* EPLLs */

{{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=<sup></sup>
* [[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]].

== 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/ell.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|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)}}

|
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=12 [[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'}}

|

=== 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)==

{|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 3RF (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}}

|
=== 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}}

|-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=
|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'}}

|}

{{ELL}}

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

__NOTOC__

Trigger

2010-07-27T02:19:45Z

Xishem: Created page with 'A short sequence of face turns.'

A short sequence of face turns.

Metric

2010-07-27T02:16:03Z

Xishem: Created page with 'A system of measurement.'

A system of measurement.

First Two Layers

2010-06-01T06:51:47Z

Xishem: /* F2L 15 */

__NOTOC__
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.

The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.

<br clear=all>
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.

The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.

Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}
|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}

|-valign="top"
|
=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|d (R' U' R U')(R' U' R)|F2L}}
{{Alg|y2 U' (L U') d' (L' U' L)|F2L}}
|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}

|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U')(R' U' R)|F2L}}
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}
|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U)(R U R')|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
|-valign="top"
|
=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U (R U2 R') U (R U' R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
|-valign="top"
|
=== F2L 21 ===
[[Image:F2L21.png]]

{{Alg|U2 (R U R' U)(R U' R')|F2L}}

{{Alg|(R U' R') U2 (R U R')|F2L}}

=== F2L 22 ===
[[Image:F2L22.png]]

{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)
|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}

|-valign="top"
|
=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg| (U R U' R')(U R U' R')(U R U' R')|F2L}}
|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L U' L') U2 (L U' L)|F2L}}
|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
|-valign="top"
|
=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved
|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
|-valign="top"
|
=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
|-valign="top"
|
=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}
{{Alg|(R U R' U')(R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U)(L U L')|F2L}}

== See Also ==
* [[Keyhole First Two Layers]]
* [[Last Layer]]
* [[F2B]]
* [[F2LL]]
* [[ZBF2L]]
* [[First Layer]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]

[[Category:Cubing Terminology]]
[[Category:3x3x3 Methods]]