Speedsolving.com Wiki - User contributions [en]

Andrew Nathenson

2017-09-01T12:44:43Z

Allen Huang-Taiwan Cuber:

{{Infobox
|NAME=Andrew Nathenson
|IMAGE=
|IMAGEYEAR=
|ALIASES=ColorfulPockets
|COUNTRY=USA
|BIRTHDATE=
|AGE=
|JOBS=Student
|YEARSACTIVE=2011-present
|ID=2011NATH02
|FAMOUSFOR=YouTube channel
}}

'''Andrew Nathenson''' is well known for his YouTube channel and for using the [[ZZ]] method. He solves a fairly wide range of puzzles and [[WCA]] events, but he mainly does 3x3 [[OH]],[[FMC]] and [[3x3]]. He is sponsored by [[TheCubicle]]. Andrew also uses the [[ZZ]] method(especially [[ZZ-CT]]), which sets him apart from most other speedcubers.

== External links ==
* [https://www.youtube.com/user/ColorfulPockets His YouTube channel]

[[Category:Cubers|Nathenson, Andrew]]
[[Category:Speedcubers|Nathenson, Andrew]]

List of YouTube cubers

2017-08-28T06:39:36Z

Allen Huang-Taiwan Cuber:

This page is a list of [[cuber]]s and their Youtube page.

{|border="0" width="100%" valign="top"
|- valign="top"
| width="50%" |
* [http://www.youtube.com/kalashagun KalaShagun] Shagun Kala
* [http://www.youtube.com/user/tomshakil Tomshakil] Shakil Ahmad
* [http://www.youtube.com/user/Bhargav7771 Bhargav7771] Bhargav Narasimhan
* [http://www.youtube.com/user/mayurak47 mayurak47] Mayur Arvind
* [http://www.youtube.com/user/monkeydude1313 monkeydude1313] Chris Bird - Tutorials for beginners to learn the Fridrich method as well as tutorials for other obscure puzzles.
* [http://www.youtube.com/user/SolveThatCube263 SolveThatCube] Ben Adcock
* [http://www.youtube.com/user/Sheldonspeedcuber Sheldonspeedcuber] Pierre Bouvier
* [http://www.youtube.com/user/Nakaji1084 Nakaji1084] Yu Nakajima
* [http://www.youtube.com/user/Frk17 Frk17] Erik Akkersdijk
* [http://www.youtube.com/user/Einstakonan Einstakonan] Harris Chan and [http://www.youtube.com/CUBESnote CUBESnote]
* [https://www.youtube.com/channel/UCiz48FdV9I_tmZ0TJF33y2A Abunickabhi ] Abhijeet Ghodgaonkar
* [http://www.youtube.com/user/jammyman3014 jammyman3014] Brendan Vallance
* [http://www.youtube.com/user/rowehess rowehess] Rowe Hessler
* [http://www.youtube.com/user/badmephisto badmephisto] Tutorials covering many aspects of cubing including beginner, Fridrich, blindfolded, etc.

* [http://www.youtube.com/user/MeMyselfAndPi MeMyselfAndPi] Billy Hansen. Tutorials on cubing hardware.
* [http://www.youtube.com/user/ToxIkWaste ToxIkWaste] Tutorials covering cube hardware/lubrication.
* [http://www.youtube.com/user/Masterofthebass Masterofthebass] Dan Cohen
* [http://www.youtube.com/user/Sa967St Sa967St] Sarah Strong
* [http://www.youtube.com/user/Speedcuber Speedcuber] Sinpei Araki, Suraimu
* [http://www.youtube.com/user/momonga576r momonga576r] Ryosuke Mondo
* [http://www.youtube.com/user/Thrawst Thrawst] Tristan Wright, first to post How to Solve a Rubik's Cube videos
* [http://www.youtube.com/user/EricLimeback EricLimeback] Eric Limeback
* [http://www.youtube.com/user/LanceTheBlueKnight LanceTheBlueKnight] Lance Taylor
* [http://www.youtube.com/user/QubedCuber 6x6er] Aussie Greene
* [https://www.youtube.com/channel/UCZ_xz_pIn7yLZIC3HpDDgmA MetallicSilver] Alex Yang
* [http://www.youtube.com/user/Desie37 Desie37] Deseree Aune
* [http://www.youtube.com/user/137456 137456]Kris De Asis/Meep
* [http://www.youtube.com/user/esquimalt1 esquimalt1]Ibrahim Vajgel-Shedid
* [http://www.youtube.com/user/ssrc ssrc]
* [http://www.youtube.com/user/theWestonian theWestonian] Weston Mizumoto
* [http://www.youtube.com/user/BluePi1313 BluePi1313] Shuqing Ma
* [http://www.youtube.com/user/tutorialswindowsxp TutorialsWindowsXp] Javier Gonzalez-Napoleoni
* [http://www.youtube.com/user/Speedcuber023 Speedcuber023] Anthony Brooks (Anthony Searle)
* [http://www.youtube.com/user/elimescube elimescube] Emile Compion
* [http://www.youtube.com/user/fallofshadows fallofshadows] Zac Livesay
* [http://www.youtube.com/user/ThomasJECubing ThomasJE]
|
* [http://www.youtube.com/user/Drewseph0011 Drewseph0011] Amdrew Cormier
* [http://www.youtube.com/user/symplesyn symplesyn] Noah Hevey
* [http://www.youtube.com/user/KaiXevandStanley KaiXevandStanley] Tony Fisher
* [http://www.youtube.com/user/Luigistl Luigistl] Austin Moore, one of the fastest Roux users.
* [http://www.youtube.com/user/aboz049 aboz049] Jorge Sanchez, Mexican Champion at 3x3
* [http://www.youtube.com/user/fazrulz1 fazrulz] Feliks Zemdegs, WR average holder at 6.54
* [http://www.youtube.com/user/sajgoncube sajgoncube]
* [http://www.youtube.com/user/kazuto0102 kazuto0102]
* [http://www.youtube.com/user/sushibuffet sushibuffet] Rhodri Mativo
* [http://www.youtube.com/user/jnoort jnoort] Joël van Noort
* [http://www.youtube.com/user/CUTEXcuber CUTEXcuber]
* [http://www.youtube.com/user/aznblur aznblur]
* [http://www.youtube.com/user/jmnguyen95 jmnguyen95]
* [http://www.youtube.com/user/Pestvic Pestvic]
* [http://www.youtube.com/user/RobH0629 RobH0629] Rob Homayoon
* [http://www.youtube.com/user/cubes4lyfe cubes4lyfe] Waffle's Channel, Roux Tutorials and Videos
* [http://www.youtube.com/user/5bld 5BLD] Alex Lau, one of the fastest Roux users.
* [http://www.youtube.com/user/Arnaudvg Arnaudvg] Arnaud van Galen
* [http://www.youtube.com/user/jaysammey777 jaysammey777]
* [http://www.youtube.com/user/lordskull14 Sagar Laud]
* [http://www.youtube.com/user/tyjet66 tyjet66] David Phelps
* [http://www.youtube.com/user/snkenjoi snkenjoi] Kirjava
* [http://www.youtube.com/user/ErniePulchny ErniePulchny] Ernie Pulchny, Master Magic WR holder
* [http://www.youtube.com/user/MrCube68 MrCube68] Miroslav Delinac
* [http://www.youtube.com/user/izovire izovire] Izovire
* [http://www.youtube.com/user/inuasha880 inuasha880] Kurt Price
* [http://www.youtube.com/user/GeorgeAndErrE Georgeanderre] Georgeanderre
* [http://www.youtube.com/user/SickXTB SickXTB] SickXTB, a collab channel started by Tall5001, Bobo11420, AvidCuber, and xxoxia.
* [http://www.youtube.com/user/pentacubers pentacubers] Pentacubers, a collab channel started by cyoubx, collinbxyz, coolfrog23, theianography, and CubeDepot.
* [http://www.youtube.com/user/TheTeenCuber TheTeenCuber]
* [http://www.youtube.com/user/RealBestInTheWorld BEST IN THE WORLD] Piyush Passi, Cube Reviews
* [http://www.youtube.com/user/therubikscard101 INSANEcuber] - 2x2 Average World Record Holder
|}
*[https://www.youtube.com/user/hashtagcuber hashtagcuber] Eva Kato

There are more YouTube channels listed in [http://www.speedsolving.com/forum/showthread.php?t=12476 this thread].

[[Category:Resources]]
[[Category:Community]]
[[Category:Lists|YouTube cubers]]
[[Category:Lists of cubers]]

ELL

2017-07-15T10:06:00Z

Allen Huang-Taiwan Cuber: /* ELL Algorithms */

{{Substep Infobox
|name=ELL
|image=ELL.png
|proposers=[[Guus Razoux Schultz]]
|year=1981
|anames=
|variants=[[EOLL]], [[EPLL]], [[L5E]]
|subgroup=
|algs=29
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
|previous=[[LL:CO+CP cube state]]
|next=[[Solved cube state]]
}}

:''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 complete 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://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava'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}}
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}
|

=== 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' U M' U M' U M' U2 M' U M' U M' U M' }}
{{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}}
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}
{{Alg|B L' B' U' L2 U M' U' L2 U B L B' M}}

|-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' U' M' U M' U M' U M' U'}}
{{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}}
{{Alg|R2 B2 R2 U2 M U M' U2 R2 B2 R2 U}}

|

|}

==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|(y2) R2 U' R' U' R U R U R U' R}}
{{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|M'2 U M U2 M' U M'2}}
{{Alg|R U' R U R U R U' R' U' R2}}
{{Alg|(y') M2' u' M' u2' M' u' M2'}}

|-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'}}
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2' U2}}

|

=== 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}}
{{Alg|S R U2 R2 U2 R2 U2 R S'}}

==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 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') 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'}}
{{Alg|y B' L' B M' B2 M B L B }}

|

=== LF-flip U-PLL b ===
{{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) 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'}}
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}

|

=== 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}}
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}
{{Alg|L' U' B L' B' L U L F R U R' U' F'}}

|-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|(y2) M U' M' U M' U M' U' M' U' M U M2}}
{{Alg|M' U' F2 M2 U' M U F2 U M2}}
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}
{{Alg|(x') U' R U M' U' R' (y') R2 U2 R2 U2 R2 (y) U' M (x)}}

|

=== 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|(y2) M U M' U' M' U' M' U M' U M U' M2}}
{{Alg|M' U F2 M2 U M U' F2 U' M2}}
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}

|-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}}
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}

|

=== 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}}
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}
{{Alg|(x') M' U (y') R2 U2 R2 U2 R2 (y) R U M U' R' U (x)}}

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

|

=== 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' U'}}
|}

==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}}
{{Alg|(y') r U R' U' r' U' R' U R d' M' U2 M}}
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}

|

=== 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}}
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}

|-valign="top"
|

=== FB-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}}
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}
{{Alg|B2 M U M' U M U' M' U' B2}}

|

===LR-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}}
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}
{{Alg|R L B U2 L2 U2 L2 U2 L2 B' L' R'}}

|

=== 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}}
{{Alg|L' U' B L' B' L U L B' R' U' R U B}}

|-valign="top"
|

=== FR-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'}}
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}
{{Alg|(y') B U L U' L' B' L' U' B L' B' L U L}}

|

=== 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'}}
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}
{{Alg|(y) (z) U R' B R U2 R2 U2 R2 U2 R B' R U' (z')}}

|}

{{ELL}}

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

__NOTOC__

ELL

2017-07-15T10:01:35Z

Allen Huang-Taiwan Cuber: Undo revision 31795 by Allen Huang-Taiwan Cuber (talk)

ELL

2017-07-15T09:52:39Z

Allen Huang-Taiwan Cuber: /* ELL Algorithms */

{{Substep Infobox
|name=ELL
|image=ELL.png
|proposers=[[Guus Razoux Schultz]]
|year=1981
|anames=
|variants=[[EOLL]], [[EPLL]], [[L5E]]
|subgroup=
|algs=29
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
|previous=[[LL:CO+CP cube state]]
|next=[[Solved cube state]]
}}

:''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 complete 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://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava'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}}
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}
|

=== 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' U M' U M' U M' U2 M' U M' U M' U M' }}
{{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}}
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}
{{Alg|B L' B' U' L2 U M' U' L2 U B L B' M}}

|-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' U' M' U M' U M' U M' U'}}
{{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}}
{{Alg|R2 B2 R2 U2 M U M' U2 R2 B2 R2 U}}

|

|}

==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|(y2) R2 U' R' U' R U R U R U' R}}
{{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|M'2 U M U2 M' U M'2}}
{{Alg|R U' R U R U R U' R' U' R2}}
{{Alg|(y') M2' u' M' u2' M' u' M2'}}

|-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'}}
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2' U2}}

|

=== 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}}
{{Alg|S R U2 R2 U2 R2 U2 R S'}}

|

==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 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') 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'}}
{{Alg|y B' L' B M' B2 M B L B }}

|

=== LF-flip U-PLL b ===
{{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) 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'}}
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}

|

=== 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}}
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}
{{Alg|L' U' B L' B' L U L F R U R' U' F'}}

|-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|(y2) M U' M' U M' U M' U' M' U' M U M2}}
{{Alg|M' U' F2 M2 U' M U F2 U M2}}
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}
{{Alg|(x') U' R U M' U' R' (y') R2 U2 R2 U2 R2 (y) U' M (x)}}

|

=== 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|(y2) M U M' U' M' U' M' U M' U M U' M2}}
{{Alg|M' U F2 M2 U M U' F2 U' M2}}
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}

|-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}}
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}

|

=== 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}}
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}
{{Alg|(x') M' U (y') R2 U2 R2 U2 R2 (y) R U M U' R' U (x)}}

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

|

=== 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' U'}}
|}

==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}}
{{Alg|(y') r U R' U' r' U' R' U R d' M' U2 M}}
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}

|

=== 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}}
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}

|-valign="top"
|

=== FB-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}}
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}
{{Alg|B2 M U M' U M U' M' U' B2}}

|

===LR-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}}
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}
{{Alg|R L B U2 L2 U2 L2 U2 L2 B' L' R'}}

|

=== 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}}
{{Alg|L' U' B L' B' L U L B' R' U' R U B}}

|-valign="top"
|

=== FR-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'}}
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}
{{Alg|(y') B U L U' L' B' L' U' B L' B' L U L}}

|

=== 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'}}
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}
{{Alg|(y) (z) U R' B R U2 R2 U2 R2 U2 R B' R U' (z')}}

|}

{{ELL}}

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

__NOTOC__

ELL

2017-07-15T09:43:00Z

Allen Huang-Taiwan Cuber: /* H-PLL */

ELL

2017-07-15T09:04:58Z

Allen Huang-Taiwan Cuber: /* H-PLL */

{{Substep Infobox
|name=ELL
|image=ELL.png
|proposers=[[Guus Razoux Schultz]]
|year=1981
|anames=
|variants=[[EOLL]], [[EPLL]], [[L5E]]
|subgroup=
|algs=29
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
|previous=[[LL:CO+CP cube state]]
|next=[[Solved cube state]]
}}

:''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 complete 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://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava'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}}
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}
|

=== 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' U M' U M' U M' U2 M' U M' U M' U M' }}
{{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}}
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}
{{Alg|B L' B' U' L2 U M' U' L2 U B L B' M}}

|-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' U' M' U M' U M' U M' U'}}
{{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}}
{{Alg|R2 B2 R2 U2 M U M' U2 R2 B2 R2 U}}

|

|}

==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|(y2) R2 U' R' U' R U R U R U' R}}
{{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|M'2 U M U2 M' U M'2}}
{{Alg|R U' R U R U R U' R' U' R2}}
{{Alg|(y') M2' u' M' u2' M' u' M2'}}

|-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'}}
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2' U2}}

|

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

==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 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') 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'}}
{{Alg|y B' L' B M' B2 M B L B }}

|

=== LF-flip U-PLL b ===
{{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) 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'}}
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}

|

=== 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}}
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}
{{Alg|L' U' B L' B' L U L F R U R' U' F'}}

|-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|(y2) M U' M' U M' U M' U' M' U' M U M2}}
{{Alg|M' U' F2 M2 U' M U F2 U M2}}
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}
{{Alg|(x') U' R U M' U' R' (y') R2 U2 R2 U2 R2 (y) U' M (x)}}

|

=== 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|(y2) M U M' U' M' U' M' U M' U M U' M2}}
{{Alg|M' U F2 M2 U M U' F2 U' M2}}
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}

|-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}}
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}

|

=== 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}}
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}
{{Alg|(x') M' U (y') R2 U2 R2 U2 R2 (y) R U M U' R' U (x)}}

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

|

=== 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' U'}}
|}

==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}}
{{Alg|(y') r U R' U' r' U' R' U R d' M' U2 M}}
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}

|

=== 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}}
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}

|-valign="top"
|

=== FB-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}}
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}
{{Alg|B2 M U M' U M U' M' U' B2}}

|

===LR-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}}
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}
{{Alg|R L B U2 L2 U2 L2 U2 L2 B' L' R'}}

|

=== 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}}
{{Alg|L' U' B L' B' L U L B' R' U' R U B}}

|-valign="top"
|

=== FR-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'}}
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}
{{Alg|(y') B U L U' L' B' L' U' B L' B' L U L}}

|

=== 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'}}
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}
{{Alg|(y) (z) U R' B R U2 R2 U2 R2 U2 R B' R U' (z')}}

|}

{{ELL}}

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

__NOTOC__