Difference between revisions of "ELL"

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{{Method Infobox
+
{{Substep Infobox
 
|name=ELL
 
|name=ELL
 
|image=ELL.png
 
|image=ELL.png
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|anames=
 
|anames=
 
|variants=[[EOLL]], [[EPLL]], [[L5E]]
 
|variants=[[EOLL]], [[EPLL]], [[L5E]]
|steps=1
+
|subgroup=
 
|algs=29
 
|algs=29
 
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])
 
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])
 
|purpose=<sup></sup>
 
|purpose=<sup></sup>
 
* [[Speedsolving]], [[BLD]], [[FMC]]
 
* [[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]]''
 
:''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]].
+
'''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]].
+
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]].
  
== See Also ==
+
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].
 +
 
 +
== See also ==
 
* [[CFCE]]
 
* [[CFCE]]
 
* [[CLL]]
 
* [[CLL]]
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* [[LLEF]]
 
* [[LLEF]]
  
== External Links ==
+
== External links ==
 
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]
 
* [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]
+
* [https://sarah.cubing.net/3x3x3/ell Sa967St's ELL algs]
* [http://sa967st.webs.com/ell.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=817 New ELL Algorithms!]
 
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]
 
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]
 +
* [https://www.speedcubingtips.eu/ell-edges-of-last-layer/ speedcubingtips.eu ELL algs]
  
  
 
{{ELL}}
 
{{ELL}}
  
== Intuitive:==
+
== Intuitive==
 
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:
 
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:
  
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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.
 
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:==
+
==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.
 
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.
  
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{{case
 
{{case
 
|image=ELL 2-flip (a).jpg
 
|image=ELL 2-flip (a).jpg
|name=Pure adjacent 2-flip
+
|name=Pure adjacent 2-flip, [[OLL#OLL_28|Pure-Arrow]]
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=13 [[HTM]], 12 [[STM]]
 
|optimal=13 [[HTM]], 12 [[STM]]
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}
 
{{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|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|(y) M2 U M U2 M' U M' U M' U2 M U M'}}
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{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}
 
{{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|(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'}}
 
|
 
|
  
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{{case
 
{{case
 
|image=ELL 2-flip (b).jpg
 
|image=ELL 2-flip (b).jpg
|name=Pure opposite 2-flip
+
|name=Pure opposite 2-flip, [[OLL#OLL_57|Pure-Brick]]
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=14 [[HTM]], 11 [[STM]]
 
|optimal=14 [[HTM]], 11 [[STM]]
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}
 
{{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|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' U2 M d M U' R2 U M' U' R2}}
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{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}
 
{{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|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"
 
|-valign="top"
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{{case
 
{{case
 
|image=ELL 4-flip.jpg
 
|image=ELL 4-flip.jpg
|name=Pure 4-flip
+
|name=Pure 4-flip, [[OLL#OLL_20|Pure-Checkers]]
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=14 [[HTM]], 10 [[STM]]
 
|optimal=14 [[HTM]], 10 [[STM]]
 
|text=
 
|text=
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{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}
 
{{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|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|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|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}}
 +
 +
  
 
|
 
|
Smile =)
 
 
|}
 
|}
  
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|image=ELL U-PLL (a).jpg
 
|image=ELL U-PLL (a).jpg
 
|name=U-PLL a
 
|name=U-PLL a
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
+
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|text=
 
|text=
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{{Alg|F2 U M' U2 M U F2}}
 
{{Alg|F2 U M' U2 M U F2}}
 
{{Alg|M2 U' M U2 M' U' M2}}
 
{{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}}
 
{{Alg|L' U L' U' L' U' L' U L U L2}}
  
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|image=ELL U-PLL (b).jpg
 
|image=ELL U-PLL (b).jpg
 
|name=U-PLL b
 
|name=U-PLL b
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
+
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|F2 U' M' U2 M U' F2}}
 
{{Alg|F2 U' M' U2 M U' F2}}
{{Alg|M2 U M U2 M' U M2}}
+
{{Alg|M'2 U M U2 M' U M'2}}
 
{{Alg|R U' R U R U R U' R' U' R2}}
 
{{Alg|R U' R U R U R U' R' U' R2}}
 +
{{Alg|(y') M2' u' M' u2' M' u' M2'}}
  
 
|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
=== Z-PLL ===
 
=== Z-PLL ===
 
{{case
 
{{case
 
|image=ELL Z-PLL.jpg
 
|image=ELL Z-PLL.jpg
 
|name=Z-PLL
 
|name=Z-PLL
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
+
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]
|optimal=12 [[HTM]], 7 [[STM]]
+
|optimal=10 [[HTM]], 7 [[STM]]
 
|text=
 
|text=
 
}}
 
}}
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{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}
 
{{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|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}}
  
 
|
 
|
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|image=ELL H-PLL.jpg
 
|image=ELL H-PLL.jpg
 
|name=H-PLL
 
|name=H-PLL
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
+
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]
 
|optimal=10 [[HTM]], 7 [[STM]]
 
|optimal=10 [[HTM]], 7 [[STM]]
 
|text=
 
|text=
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{{Alg|M2 U' M2 U2 M2 U' M2}}
 
{{Alg|M2 U' M2 U2 M2 U' M2}}
 
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}
 
{{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)==
 
==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"
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
|-valign="top"
 
|-valign="top"
 
|
 
|
=== RF-flip U-PLL a ===
+
=== LF-flip U-PLL b ===
 
{{case
 
{{case
|image=ELL 3RF (a).jpg
+
|image=ELL 3LF (b).jpg
 
|name=Pure 3-cycle
 
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|text=
 
|text=
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{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}
 
{{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) 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 ===
+
=== RF-flip U-PLL a ===
 
{{case
 
{{case
|image=ELL 3RF (b).jpg
+
|image=ELL 3RF (a).jpg
 
|name=Pure 3-cycle
 
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|optimal=9 [[HTM]], 7 [[STM]]
 
|text=
 
|text=
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{{Alg|M U' M' U2 M U' M'}}
 
{{Alg|M U' M' U2 M U' M'}}
 
{{Alg|(y2) 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) L' U2 L F R B U2 B' R' F'}}
 
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}
 
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}
  
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|image=ELL 3RL (a).jpg
 
|image=ELL 3RL (a).jpg
 
|name=Pure 3-cycle
 
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|text=
 
|text=
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|image=ELL 3RL (b).jpg
 
|image=ELL 3RL (b).jpg
 
|name=Pure 3-cycle
 
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|text=
 
|text=
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|image=ELL 3LF (a).jpg
 
|image=ELL 3LF (a).jpg
 
|name=Pure 3-cycle
 
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|text=
 
|text=
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|image=ELL 3RF (b).jpg
 
|image=ELL 3RF (b).jpg
 
|name=Pure 3-cycle
 
|name=Pure 3-cycle
|methods=[[ELL]], [[BLD]]
+
|methods=ELL, [[BLD]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|optimal=10 [[HTM]], 8 [[STM]]
 
|text=
 
|text=
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|image=ELL U4 (a).jpg
 
|image=ELL U4 (a).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
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{{Alg|M' U M U M' U2 M' U M' U M U 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|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 ===
 
=== 4-flip U-PLL b ===
 
{{case
 
{{case
 
|image=ELL U4 (b).jpg
 
|image=ELL U4 (b).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}
 
{{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|(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|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|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'}}
 +
  
  
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|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
=== BF-flip U-PLL a ===
 
=== BF-flip U-PLL a ===
 
{{case
 
{{case
 
|image=ELL U2AF (a).jpg
 
|image=ELL U2AF (a).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}
 
{{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|(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|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 ===
 
=== BF-flip U-PLL b ===
 
{{case
 
{{case
 
|image=ELL U2AF (b).jpg
 
|image=ELL U2AF (b).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}
 
{{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|(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|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"
 
|-valign="top"
 
|
 
|
 +
 
=== BL-flip U-PLL a ===
 
=== BL-flip U-PLL a ===
 
{{case
 
{{case
 
|image=ELL U2OL (a).jpg
 
|image=ELL U2OL (a).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 354: Line 397:
 
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}
 
{{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|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 ===
 
=== BR-flip U-PLL b ===
 
{{case
 
{{case
 
|image=ELL U2OR (b).jpg
 
|image=ELL U2OR (b).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 368: Line 413:
 
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}
 
{{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|(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|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|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|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"
 
|-valign="top"
 
|
 
|
 +
 
=== BR-flip U-PLL a ===
 
=== BR-flip U-PLL a ===
 
{{case
 
{{case
 
|image=ELL U2AR (a).jpg
 
|image=ELL U2AR (a).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 384: Line 433:
 
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}
 
{{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|(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 ===
 
=== BL-flip U-PLL b ===
 
{{case
 
{{case
 
|image=ELL U2AL (b).jpg
 
|image=ELL U2AL (b).jpg
 
|name=3-cycle 1-flip
 
|name=3-cycle 1-flip
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}
 
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}
{{Alg|(y2) M' U M2 U M U2 M' U M'}}
+
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}
 
|}
 
|}
  
Line 409: Line 460:
 
|image=ELL Z2AFR.jpg
 
|image=ELL Z2AFR.jpg
 
|name=Adjacent flip Z-PLL a
 
|name=Adjacent flip Z-PLL a
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 415: Line 466:
 
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}
 
{{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') 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 ===
 
=== LB-flip Z-PLL ===
 
{{case
 
{{case
 
|image=ELL Z2ABR.jpg
 
|image=ELL Z2ABR.jpg
 
|name=Adjacent flip Z-PLL b
 
|name=Adjacent flip Z-PLL b
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}
 
{{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"
 
|-valign="top"
 
|
 
|
=== RL-flip Z-PLL ===
+
 
 +
=== FB-flip Z-PLL ===
 
{{case
 
{{case
 
|image=ELL Z2ORL.jpg
 
|image=ELL Z2ORL.jpg
 
|name=Opposite flip Z-PLL a
 
|name=Opposite flip Z-PLL a
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
 
}}
 
}}
 
{{Alg|M' U M U' M' U M U M' U2 M}}
 
{{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}}
 +
  
 
|
 
|
=== FB-flip Z-PLL ===
+
 
 +
===LR-flip Z-PLL ===
 
{{case
 
{{case
 
|image=ELL Z2OFB.jpg
 
|image=ELL Z2OFB.jpg
 
|name=Opposite flip Z-PLL b
 
|name=Opposite flip Z-PLL b
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 457: Line 519:
 
|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
=== 4-flip Z-PLL ===
 
=== 4-flip Z-PLL ===
 
{{case
 
{{case
 
|image=ELL Z4.jpg
 
|image=ELL Z4.jpg
 
|name=4-flip Z-PLL
 
|name=4-flip Z-PLL
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 470: Line 533:
 
{{Alg|(y) M' U M U2 M' U M'2 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) 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 ===
 
=== 4-flip H-PLL ===
 
{{case
 
{{case
 
|image=ELL H4.jpg
 
|image=ELL H4.jpg
 
|name=4-flip H-PLL
 
|name=4-flip H-PLL
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 486: Line 556:
 
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 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|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"
 
|-valign="top"
 
|
 
|
  
=== LB-flip H-PLL ===
+
=== FR-flip H-PLL ===
 
{{case
 
{{case
 
|image=ELL H2A.jpg
 
|image=ELL H2A.jpg
 
|name=Adjacent flip H-PLL
 
|name=Adjacent flip H-PLL
|methods=[[ELL]]
+
|methods=ELL
 
|optimal=
 
|optimal=
 
|text=
 
|text=
Line 501: Line 574:
 
{{Alg|(y) 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) 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}}
 +
 +
 
|
 
|
  
Line 507: Line 584:
 
|image=ELL H2O.jpg
 
|image=ELL H2O.jpg
 
|name=Opposite flip H-PLL
 
|name=Opposite flip H-PLL
|methods=[[ELL]]
+
|methods=ELL
|optimal=
+
|optimal=11 [[STM]] 15 [[HTM]]
 
|text=
 
|text=
 
}}
 
}}
Line 515: Line 592:
 
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}
 
{{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|(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')}}
 +
 +
  
 
|}
 
|}
Line 520: Line 602:
 
{{ELL}}
 
{{ELL}}
  
[[Category:Cubing Terminology]]
+
[[Category:Acronyms]]
[[Category:Abbreviations and Acronyms]]
+
[[Category:3x3x3 last layer substeps]]
[[Category:Methods]]
 
[[Category:3x3x3 Methods]]
 
[[Category:Last Layer Methods]]
 
 
[[Category:Algorithms]]
 
[[Category:Algorithms]]
[[Category:Sub Steps]]
 
  
 
__NOTOC__
 
__NOTOC__

Latest revision as of 17:07, 7 March 2020

ELL
ELL.png
Information
Proposer(s): Guus Razoux Schultz
Proposed: 1981
Alt Names:
Variants: EOLL, EPLL, L5E
Subgroup:
No. Algs: 29
Avg Moves: ~11 STM (Speed-optimized) Optimal: 11.27 (HTM), 9.03 (STM)
Purpose(s):
Previous state: LL:CO+CP cube state
Next state: Solved cube state

LL:CO+CP cube state -> ELL step -> Solved cube state


The ELL step is the step between the LL:CO+CP cube state and the Solved cube state.

This page is about the ELL that solves edges preserving corners, for the method that does not, see LL edges first

Edges of Last Layer, or normally ELL, is a method that solves the last layer edges of the 3x3x3 in one algorithm as the last step in the solution, normally after performing CLL to solve the last layer corners. 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 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

External links


ELL

Pure flips | EPLLs | 3-cycles | In position but flipped | No edges in position | edit

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 OLLs 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

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

Click on an algorithm (not the camera icon) to watch an animation of it.

The naming convention here is; wich edges are fliped if they where permuted and which EPLL would it be if all was correctly oriented.

Pure flips

2-flip (Adjacent)

ELL 2-flip (a).jpg

Name: Pure adjacent 2-flip, Pure-Arrow
Used in: ELL, BLD
Optimal moves: 13 HTM, 12 STM

Speedsolving Logo tiny.gif Alg r U R' U' r' U2 R U R U' R2 U2 R
Speedsolving Logo tiny.gif Alg R' U2 R2 U R' U' R' U2 r U R U' r'
Speedsolving Logo tiny.gif Alg M U M' U2 M U M U M U2 M' U M2
Speedsolving Logo tiny.gif Alg (y) M2 U M U2 M' U M' U M' U2 M U M'
Speedsolving Logo tiny.gif Alg (x') U2 M2 U R U' M2 U2 M' U' R' U M
Speedsolving Logo tiny.gif Alg (y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U
Speedsolving Logo tiny.gif Alg (y') R2 d' M' U' M U2 F2 U M' U M U2
Speedsolving Logo tiny.gif Alg (y2) L' U' B L' B' L U L R U B' R B R' U' R'

2-flip (Opposite)

ELL 2-flip (b).jpg

Name: Pure opposite 2-flip, Pure-Brick
Used in: ELL, BLD
Optimal moves: 14 HTM, 11 STM

Speedsolving Logo tiny.gif Alg M' U' M' U' M' U2 M U' M U' M U2
Speedsolving Logo tiny.gif Alg U M' U M' U M' U M2 U M' U M' U M' U
Speedsolving Logo tiny.gif Alg M' U M' U M' U M' U2 M' U M' U M' U M'
Speedsolving Logo tiny.gif Alg M' d' M d' M' U2 M d M' d M U2
Speedsolving Logo tiny.gif Alg U2 M' U2 M d M U' R2 U M' U' R2
Speedsolving Logo tiny.gif Alg U2 M' U' M' U' F2 U M U' M F2
Speedsolving Logo tiny.gif Alg R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R
Speedsolving Logo tiny.gif Alg F M' F M' F2 U2 M F M F' U2
Speedsolving Logo tiny.gif Alg B' R B R' U R' U' M' U R U' R B' R' B M
Speedsolving Logo tiny.gif Alg (y) R' U R2 U R' U' R' U2 r U R U' r' R' U R
Speedsolving Logo tiny.gif Alg B L' B' U' L2 U M' U' L2 U B L B' M



4-flip

ELL 4-flip.jpg

Name: Pure 4-flip, Pure-Checkers
Used in: ELL, BLD
Optimal moves: 14 HTM, 10 STM

Speedsolving Logo tiny.gif Alg M' U2 M U2 M' U' M U2 M' U2 M U
Speedsolving Logo tiny.gif Alg U B2 M' B2 M2 U' F2 M F2 M2
Speedsolving Logo tiny.gif Alg M' U M' U M' U M' U' M' U M' U M' U M' U'
Speedsolving Logo tiny.gif Alg U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)
Speedsolving Logo tiny.gif Alg F2 M F2 M2 U' M2 F2 M' F2 U
Speedsolving Logo tiny.gif 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-page, put your contributions there too, else we will end up having two separate lists and we don't want that.


U-PLL a

ELL U-PLL (a).jpg

Name: U-PLL a
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif Alg F2 U M' U2 M U F2
Speedsolving Logo tiny.gif Alg M2 U' M U2 M' U' M2
Speedsolving Logo tiny.gif Alg (y2) R2 U' R' U' R U R U R U' R
Speedsolving Logo tiny.gif Alg L' U L' U' L' U' L' U L U L2


U-PLL b

ELL U-PLL (b).jpg

Name: U-PLL b
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif Alg F2 U' M' U2 M U' F2
Speedsolving Logo tiny.gif Alg M'2 U M U2 M' U M'2
Speedsolving Logo tiny.gif Alg R U' R U R U R U' R' U' R2
Speedsolving Logo tiny.gif Alg (y') M2' u' M' u2' M' u' M2'


Z-PLL

ELL Z-PLL.jpg

Name: Z-PLL
Used in: EPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 10 HTM, 7 STM

Speedsolving Logo tiny.gif Alg M2 U' M E2 M E2 U M2
Speedsolving Logo tiny.gif Alg U2 M2 U' M2 U' M2 (x') U2 M2 U2
Speedsolving Logo tiny.gif Alg L F U' R U R' F' L' F U R U' R' F'
Speedsolving Logo tiny.gif Alg (y') M2 u M2 D' M S2 M'
Speedsolving Logo tiny.gif Alg M2 U M2 U M' U2 M2 U2 M'
Speedsolving Logo tiny.gif Alg U' M' U' M2' U' M2' U' M' U2' M2' U2


H-PLL

ELL H-PLL.jpg

Name: H-PLL
Used in: EPLL, CPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 10 HTM, 7 STM

Speedsolving Logo tiny.gif Alg R L U2 R' L' (y) R' L' U2 R L
Speedsolving Logo tiny.gif Alg M2 U' M2 U2 M2 U' M2
Speedsolving Logo tiny.gif Alg R2 U2 R U2 R2 U2 R2 U2 R U2 R2
Speedsolving Logo tiny.gif 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.

LF-flip U-PLL b

ELL 3LF (b).jpg

Name: Pure 3-cycle
Used in: ELL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif Alg M U M' U2 M U M'
Speedsolving Logo tiny.gif Alg (y2) M' U M U2 M' U M
Speedsolving Logo tiny.gif Alg (y') R U2 R' F' L' B' U2 B L F
Speedsolving Logo tiny.gif Alg (y'x') U2 M2 U R U' M2 U R' U
Speedsolving Logo tiny.gif Alg (y) R' F' R2 u2 R2 F' R2 u2 R'
Speedsolving Logo tiny.gif Alg y B' L' B M' B2 M B L B


RF-flip U-PLL a

ELL 3RF (a).jpg

Name: Pure 3-cycle
Used in: ELL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif Alg M U' M' U2 M U' M'
Speedsolving Logo tiny.gif Alg (y2) M' U' M U2 M' U' M
Speedsolving Logo tiny.gif Alg (y) L' U2 L F R B U2 B' R' F'
Speedsolving Logo tiny.gif Alg (y x') U2 M2 U' L' U M2 U' L U'


The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

RL-flip U-PLL a

ELL 3RL (a).jpg

Name: Pure 3-cycle
Used in: ELL, BLD
Optimal moves: 10 HTM, 8 STM

Speedsolving Logo tiny.gif Alg (y' x') U' R U M' U' R' U M
Speedsolving Logo tiny.gif Alg (y') r' U' R U M' U' R' U R


RL-flip U-PLL b

ELL 3RL (b).jpg

Name: Pure 3-cycle
Used in: ELL, BLD
Optimal moves: 10 HTM, 8 STM

Speedsolving Logo tiny.gif Alg (y x') U L' U' M' U L U' M
Speedsolving Logo tiny.gif Alg (y') r U R' U' M U R U' R'


LF-flip U-PLL a

ELL 3LF (a).jpg

Name: Pure 3-cycle
Used in: ELL, BLD
Optimal moves: 10 HTM, 8 STM

Speedsolving Logo tiny.gif Alg (y x') M' U L' U' M U L U'
Speedsolving Logo tiny.gif Alg (y') R U R' U' M' U R U' r'


RF-flip U-PLL b

ELL 3RF (b).jpg

Name: Pure 3-cycle
Used in: ELL, BLD
Optimal moves: 10 HTM, 8 STM

Speedsolving Logo tiny.gif Alg (y' x') M' U' R U M U' R' U
Speedsolving Logo tiny.gif 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 :-/


4-flip U-PLL a

ELL U4 (a).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg (y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M
Speedsolving Logo tiny.gif Alg (y) M' U M U' M' U' M U' M' U' M U2 M' U M
Speedsolving Logo tiny.gif Alg M' U M U M' U2 M' U M' U M U M' U M'
Speedsolving Logo tiny.gif Alg F U R U' R' b' R2 (z') R' U' R' F R F' U R U2
Speedsolving Logo tiny.gif Alg (y) M U M2 d' R U R S' R' U' R'
Speedsolving Logo tiny.gif Alg (y2) (f R U R' U' f') (R' U' R' F R F' U R)
Speedsolving Logo tiny.gif Alg (y') M' U M U2 r U R' U M U' R U' R' U


4-flip U-PLL b

ELL U4 (b).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg (y) U L2 U2 (y) M U M' d L2 d M' U2 M
Speedsolving Logo tiny.gif Alg (y') M' U' M U M' U M U M' U M U2 M' U' M
Speedsolving Logo tiny.gif Alg M' U' M U' M' U2 (M' U')*2 M (U' M')*2
Speedsolving Logo tiny.gif Alg U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U
Speedsolving Logo tiny.gif Alg (y') M U' M2 d L' U' L' S L U L
Speedsolving Logo tiny.gif Alg (y2) (f' L' U' L U f) (L U L F' L' F U' L')
Speedsolving Logo tiny.gif Alg (y') M U' M' U2 r' U' R U' M' U R' U R U'
Speedsolving Logo tiny.gif Alg L' U' B L' B' L U L F R U R' U' F'



The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

BF-flip U-PLL a

ELL U2AF (a).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M' U' M' U2 M' U M U' M' U2 M U M2
Speedsolving Logo tiny.gif Alg (y2) M U' M' U M' U M' U' M' U' M U M2
Speedsolving Logo tiny.gif Alg M' U' F2 M2 U' M U F2 U M2
Speedsolving Logo tiny.gif Alg (y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2
Speedsolving Logo tiny.gif Alg (x') U' R U M' U' R' (y') R2 U2 R2 U2 R2 (y) U' M (x)


BF-flip U-PLL b

ELL U2AF (b).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M' U M' U2 M' U' M U M' U2 M U' M2
Speedsolving Logo tiny.gif Alg (y2) M U M' U' M' U' M' U M' U M U' M2
Speedsolving Logo tiny.gif Alg M' U F2 M2 U M U' F2 U' M2
Speedsolving Logo tiny.gif Alg (y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2


BL-flip U-PLL a

ELL U2OL (a).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M2 U M' U2 M U' M' U M U2 M U' M
Speedsolving Logo tiny.gif Alg M2 D R2 D S' D' R2 S2 D' S' M2
Speedsolving Logo tiny.gif Alg (y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'
Speedsolving Logo tiny.gif Alg (y') U' M' U M2 U' M' U F2 U M U' M' F2
Speedsolving Logo tiny.gif Alg (y2) M2 U M U' M' U' M' U M' U M' U' M
Speedsolving Logo tiny.gif Alg U' F R2 U' R' F U R2 U' R' F' U R U F' U
Speedsolving Logo tiny.gif Alg M2 U F2 U M' U' M2 F2 U' M
Speedsolving Logo tiny.gif Alg (y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2


BR-flip U-PLL b

ELL U2OR (b).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M2 U' M' U2 M U M' U' M U2 M U M
Speedsolving Logo tiny.gif Alg M2 D' L2 D' S D L2 S2 D S M2
Speedsolving Logo tiny.gif Alg (y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R
Speedsolving Logo tiny.gif Alg (y) U M' U' M2 U M' U' F2 U' M U M' F2
Speedsolving Logo tiny.gif Alg M2 U' M U M' U M' U' M' U' M' U M
Speedsolving Logo tiny.gif Alg R' F2 U F R' U' F2 U F R U' F' U' R
Speedsolving Logo tiny.gif Alg M2 U' F2 U' M' U M2 F2 U M
Speedsolving Logo tiny.gif Alg (y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2
Speedsolving Logo tiny.gif Alg (x') M' U (y') R2 U2 R2 U2 R2 (y) R U M U' R' U (x)


BR-flip U-PLL a

ELL U2AR (a).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg (y) M' U' M' U2 M U' M2 U' M' U
Speedsolving Logo tiny.gif Alg (y2) M' U' M'2 U' M U2 M' U' M'
Speedsolving Logo tiny.gif Alg (y) F R U R' U' F' L' U' B L' B' L U L


BL-flip U-PLL b

ELL U2AL (b).jpg

Name: 3-cycle 1-flip
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg (y') M' U M' U2 M U M2 U M' U'
Speedsolving Logo tiny.gif Alg (y2) M' U M2 U M U2 M' U M' U'

No edges in position

LF-flip Z-PLL

ELL Z2AFR.jpg

Name: Adjacent flip Z-PLL a
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M U' M' U2 M U' M U' M' U2 M U' M2
Speedsolving Logo tiny.gif Alg (y') F R U R' U' F2 L' U' L U F
Speedsolving Logo tiny.gif Alg (y') r U R' U' r' U' R' U R d' M' U2 M
Speedsolving Logo tiny.gif Alg (y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'
Speedsolving Logo tiny.gif Alg (y2) f R U R' U' f2 z U' R' U R B
Speedsolving Logo tiny.gif Alg (y') R' F' U' F U R U F R U R' U' F' U'


LB-flip Z-PLL

ELL Z2ABR.jpg

Name: Adjacent flip Z-PLL b
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg (y2) M' U M U M' U2 M U' M' U' M
Speedsolving Logo tiny.gif Alg (y2) F R U R' U' F' R' U' R' F R F' U R


FB-flip Z-PLL

ELL Z2ORL.jpg

Name: Opposite flip Z-PLL a
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M' U M U' M' U M U M' U2 M
Speedsolving Logo tiny.gif Alg (y') R2' U' F U R' U' R2 F' R' U R U' R2
Speedsolving Logo tiny.gif Alg B2 M U M' U M U' M' U' B2


LR-flip Z-PLL

ELL Z2OFB.jpg

Name: Opposite flip Z-PLL b
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg (y) M' U' M U M' U' M U' M' U2 M
Speedsolving Logo tiny.gif Alg (y) R2' U R' U' R F R2 U R U' F' U R2


4-flip Z-PLL

ELL Z4.jpg

Name: 4-flip Z-PLL
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg F2 M F2 U' M2 U B2 M B2
Speedsolving Logo tiny.gif Alg (x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)
Speedsolving Logo tiny.gif Alg M U' M' U2 M U' M2 U M U2 M' U M
Speedsolving Logo tiny.gif Alg (y) M' U M U2 M' U M'2 U' M' U2 M U' M'
Speedsolving Logo tiny.gif Alg (y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2
Speedsolving Logo tiny.gif Alg (y) F' R E2 R' F U2 F' R E2 R' F U2
Speedsolving Logo tiny.gif Alg r' u M2 u' r U2 r' u M2 u' r U2
Speedsolving Logo tiny.gif Alg r' U M2 U' r U2 r' U M2 U' r U2
Speedsolving Logo tiny.gif Alg R L B U2 L2 U2 L2 U2 L2 B' L' R'



4-flip H-PLL

ELL H4.jpg

Name: 4-flip H-PLL
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M' U2 M' U2 M' U' M U2 M U2 M U
Speedsolving Logo tiny.gif Alg r U R' U' M2 U R U' R' U' M'
Speedsolving Logo tiny.gif Alg M U R U R' U' M2 U R U' r'
Speedsolving Logo tiny.gif Alg (x) U R' U' M2 U R U' M' (x') U' M' U
Speedsolving Logo tiny.gif Alg R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U
Speedsolving Logo tiny.gif Alg F2 M' F2 M2 U' M2 F2 M F2 U
Speedsolving Logo tiny.gif Alg L' U' B L' B' L U L B' R' U' R U B



FR-flip H-PLL

ELL H2A.jpg

Name: Adjacent flip H-PLL
Used in: ELL
Optimal moves:

Speedsolving Logo tiny.gif Alg M' U' M U' M' U' M U' M' U' M U
Speedsolving Logo tiny.gif Alg (y) M' U M U M' U M U M' U M U'
Speedsolving Logo tiny.gif Alg (y) R' U2 R U B L U2 L' U' B'
Speedsolving Logo tiny.gif Alg (y') L' U2 L U F R U2 R' U' F'
Speedsolving Logo tiny.gif Alg (y') B U L U' L' B' L' U' B L' B' L U L


FB-flip H-PLL

ELL H2O.jpg

Name: Opposite flip H-PLL
Used in: ELL
Optimal moves: 11 STM 15 HTM

Speedsolving Logo tiny.gif Alg M' U M U2 M' U (x') U' R U M U' R' U (x)
Speedsolving Logo tiny.gif Alg M' U M2 U2 M' U M' U2 M' U' M U' M
Speedsolving Logo tiny.gif Alg R' U2 R U' R' U' R' F R2 U R' U' R' F' R2
Speedsolving Logo tiny.gif Alg (yz) U' r2 U2 r' R' U M' U2 M' U' r R U'
Speedsolving Logo tiny.gif Alg F M' F U M2 U2 M2 U F' M F'
Speedsolving Logo tiny.gif Alg R U R' U' M' U2 R' U' R2 U' r' U R' U R U2
Speedsolving Logo tiny.gif Alg (y) (z) U R' B R U2 R2 U2 R2 U2 R B' R U' (z')



ELL

Pure flips | EPLLs | 3-cycles | In position but flipped | No edges in position | edit