https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=ReifSpeedsolving.com Wiki - User contributions [en]2026-11-04T20:06:04ZUser contributionsMediaWiki 1.43.11https://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=25721CLL algorithms (3x3x3)2015-02-16T16:28:38Z<p>Reif: /* pi L */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
{{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
{{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
{{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
{{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br />
{{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
{{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
{{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
{{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br />
{{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br />
{{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
{{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br />
L' U' L R U2 L' U' L U2 R'<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
{{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br />
{{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
{{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
{{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
{{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br />
{{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|l' U2 L U L' U l|stage=CLL}}<br />
{{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br />
{{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
{{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
{{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br />
{{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
{{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
{{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
{{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br />
{{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br />
L2 B' L2 B' R B L2 B' R' B2 L2<br />
}}<br />
|}<br />
<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F (R U R' U')3 F'|stage=CLL}}<br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
{{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br />
{{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
{{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
{{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br />
<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br />
L' U2 L U2 L F' L2 U' L U F<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
L U L' U L U2 L2 B' R B L B' R' B<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=25720CLL algorithms (3x3x3)2015-02-16T16:25:54Z<p>Reif: /* pi B */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
{{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
{{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
{{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
{{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br />
{{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
{{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
{{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
{{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br />
{{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br />
{{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
{{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br />
L' U' L R U2 L' U' L U2 R'<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
{{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br />
{{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
{{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
{{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
{{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br />
{{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|l' U2 L U L' U l|stage=CLL}}<br />
{{Alg|(y') r U R' U R U2 r'|stage=CLL}}<br />
{{Alg|(y') r' R2 U R' U r U2 r' U M'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
{{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
{{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br />
{{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
{{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
{{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
{{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br />
{{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br />
L2 B' L2 B' R B L2 B' R' B2 L2<br />
}}<br />
|}<br />
<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F (R U R' U')3 F'|stage=CLL}}<br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
{{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br />
{{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
{{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
{{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br />
<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
L U L' U L U2 L2 B' R B L B' R' B<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=25675CLL algorithms (3x3x3)2015-02-13T14:23:25Z<p>Reif: /* -S B */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
{{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
{{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
{{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
{{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br />
{{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
{{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
{{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
{{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br />
{{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br />
{{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
{{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br />
L' U' L R U2 L' U' L U2 R'<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
{{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br />
{{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
{{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
{{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
{{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br />
{{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
{{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
{{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br />
{{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
{{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
{{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
{{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br />
{{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br />
L2 B' L2 B' R B L2 B' R' B2 L2<br />
}}<br />
|}<br />
<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F (R U R' U')3 F'|stage=CLL}}<br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
{{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br />
{{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
{{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
{{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br />
<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=25674CLL algorithms (3x3x3)2015-02-13T14:12:57Z<p>Reif: /* L D */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|R' U' R U' R' U2 R2 U R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
{{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
{{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
{{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
{{Alg| B' R' U2 L' U R U' L U2 B|stage=CLL}}<br />
{{Alg|(y) R' U L U' R U2 F U' F' L'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
{{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
{{Alg|(y) l' U' L U R U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
{{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br />
{{Alg|(y') r U R' U' r' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L'|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 r'|stage=CLL}}<br />
{{Alg|(z) D' R D R2 U' D' R D R' U (z')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y') R U2 R' U' R U R' U' R U R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
{{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br />
L' U' L R U2 L' U' L U2 R'<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
{{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br />
{{Alg|(y2) F' r U R' U' r' F R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
{{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
{{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
{{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br />
{{Alg|(y) F l' U' L U R U' r'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
{{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y') r' F2 r U2 r U' r' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
{{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br />
{{Alg|(y2) F R' U2 R F' R' F U2 F' R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
{{Alg|(y) L U' R' U L' U' R|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
{{Alg|L' U' L U' L F' L' F L' U2 L|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') M' U' R U L' U2 R' U2 R|stage=CLL}}<br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L U2 L' U2 r' U L U' (x)|stage=CLL}}<br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
{{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br />
{{Alg|(y2) R' F U2 F' R F R' U2 R F'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F (R U R' U')3 F'|stage=CLL}}<br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
{{Alg|R' F R F' U2 l2 F' l' U l'|stage=CLL}}<br />
{{Alg|R' F R F' U' F R' F' R2 U' R'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(y) F (R U R' U')2 F'|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
{{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
{{Alg|(y) R U' L' U R' U L U L' U L|stage=CLL}}<br />
<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25642ELL2015-02-11T10:34:41Z<p>Reif: /* 4-flip H-PLL */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
L' U' B L' B' L U L F R U R' U' F'<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
B2 M U M' U M U' M' U' B2<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
R L B U2 L2 U2 L2 U2 L2 B' L' R'<br />
<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
L' U' B L' B' L U L B' R' U' R U B<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
y B U L U' L' B' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
z U R' B R U2 R2 U2 R2 U2 R B' R U' z' <br />
<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25641ELL2015-02-11T10:33:56Z<p>Reif: /* FR-flip H-PLL */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
L' U' B L' B' L U L F R U R' U' F'<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
B2 M U M' U M U' M' U' B2<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
R L B U2 L2 U2 L2 U2 L2 B' L' R'<br />
<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
y B U L U' L' B' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
z U R' B R U2 R2 U2 R2 U2 R B' R U' z' <br />
<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25640ELL2015-02-11T10:32:26Z<p>Reif: /* FB-flip H-PLL */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
L' U' B L' B' L U L F R U R' U' F'<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
B2 M U M' U M U' M' U' B2<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
R L B U2 L2 U2 L2 U2 L2 B' L' R'<br />
<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
z U R' B R U2 R2 U2 R2 U2 R B' R U' z' <br />
<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25639ELL2015-02-11T10:31:09Z<p>Reif: /* 4-flip Z-PLL */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
L' U' B L' B' L U L F R U R' U' F'<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
B2 M U M' U M U' M' U' B2<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
R L B U2 L2 U2 L2 U2 L2 B' L' R'<br />
<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25638ELL2015-02-11T10:27:22Z<p>Reif: /* FB-flip Z-PLL */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
L' U' B L' B' L U L F R U R' U' F'<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
B2 M U M' U M U' M' U' B2<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25637ELL2015-02-11T10:24:59Z<p>Reif: /* 4-flip U-PLL b */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
L' U' B L' B' L U L F R U R' U' F'<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25636ELL2015-02-11T10:23:44Z<p>Reif: /* BR-flip U-PLL b */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
x' M' U y' R2 U2 R2 U2 R2 y R U M U' R' U x<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25635ELL2015-02-11T10:22:06Z<p>Reif: /* BF-flip U-PLL a */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
x' U' R U M' U' R' y' R2 U2 R2 U2 R2 y U' M x<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25634ELL2015-02-11T10:18:55Z<p>Reif: /* BR-flip U-PLL a */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
y F R U R' U' F' L' U' B L' B' L U L<br />
<br />
|<br />
<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25633ELL2015-02-11T10:16:26Z<p>Reif: /* RF-flip U-PLL a */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
y B' L' B M' B2 M B L B <br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25632ELL2015-02-11T10:13:06Z<p>Reif: /* 4-flip */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
R2 B2 R2 U2 M U M' U2 R2 B2 R2<br />
<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25631ELL2015-02-11T10:11:58Z<p>Reif: /* 2-flip (Opposite) */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
{{Alg|(y2) L' U' B L' B' L U L R U B' R B R' U' R'}}<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
B L' B' U' L2 U M' U' L2 U B L B' M<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=25616ELL2015-02-10T09:52:09Z<p>Reif: /* 2-flip (Adjacent) */</p>
<hr />
<div>{{Substep Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|subgroup=<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
|previous=[[LL:CO+CP cube state]]<br />
|next=[[Solved cube state]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''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]].<br />
<br />
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]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
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.<br />
<br />
==2-look ELL==<br />
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.<br />
<br />
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).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
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.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
L' U' B L' B' L U L R U B' R B R' U' R'<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
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.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3553PLL2009-07-07T14:44:44Z<p>Reif: /* F Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
* M2 U M2 U2 M2 U M2<br />
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
* y R U R' U R' U' R' U R U' R' U' R2 U R U2<br />
* y' R U R B' R' B U' R' f R U R' U' f'<br />
* (x2 y) M2 U S2 U' S' M2 S<br />
* M2 U (F2 M2 F2 M2) U' M2<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' R2 r U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br />
* R U2 R D R' U R D' R' U' R' U R U R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* F R' F R2 U' R' U' R U R' F' R U R' U' F'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3552PLL2009-07-07T14:44:21Z<p>Reif: /* T Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
* M2 U M2 U2 M2 U M2<br />
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
* y R U R' U R' U' R' U R U' R' U' R2 U R U2<br />
* y' R U R B' R' B U' R' f R U R' U' f'<br />
* (x2 y) M2 U S2 U' S' M2 S<br />
* M2 U (F2 M2 F2 M2) U' M2<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br />
* R U2 R D R' U R D' R' U' R' U R U R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* F R' F R2 U' R' U' R U R' F' R U R' U' F'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3549PLL2009-07-03T09:22:15Z<p>Reif: /* Z Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
* M2 U M2 U2 M2 U M2<br />
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
* y R U R' U R' U' R' U R U' R' U' R2 U R U2<br />
* y' R U R B' R' B U' R' f R U R' U' f'<br />
* (x2 y) M2 U S2 U' S' M2 S<br />
* M2 U (F2 M2 F2 M2) U' M2<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br />
* R U2 R D R' U R D' R' U' R' U R U R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* F R' F R2 U' R' U' R U R' F' R U R' U' F'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3548PLL2009-07-03T09:20:40Z<p>Reif: /* E Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
* M2 U M2 U2 M2 U M2<br />
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
* y R U R' U R' U' R' U R U' R' U' R2 U R U2<br />
* y' R U R B' R' B U' R' f R U R' U' f'<br />
* (x2 y) M2 U S2 U' S' M2 S<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br />
* R U2 R D R' U R D' R' U' R' U R U R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* F R' F R2 U' R' U' R U R' F' R U R' U' F'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3547PLL2009-07-03T08:46:20Z<p>Reif: /* Z Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
* M2 U M2 U2 M2 U M2<br />
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
* y R U R' U R' U' R' U R U' R' U' R2 U R U2<br />
* y' R U R B' R' B U' R' f R U R' U' f'<br />
* (x2 y) M2 U S2 U' S' M2 S<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U<br />
* R U2 R D R' U R D' R' U' R' U R U R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* F R' F R2 U' R' U' R U R' F' R U R' U' F'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=CxLL_H_R&diff=3418CxLL H R2009-06-09T08:49:29Z<p>Reif: /* COLL */</p>
<hr />
<div>== H R / H L ==<br />
Do y2 for H L and it becomes the same as H R<br />
<br><hr><br />
{| <br />
|| [[image:CxLL H R.jpg|128px|]]<br />
| valign="top"| As for all H cases you only look at the sticker in the U-face. In this case it is one bar of uniform colour and one of opposite colours. The bars are perpendicular to the pairs of white stickers pointing in two opposite directions on the sides. The cases [[CxLL H F|H F]] and [[CxLL H B|H B]] looks wery much the same but there the bars are parallel to the whites.<br />
|}<br />
<br />
===COLL===<br />
* B' R B L' B' R' B L2 U2 L' U' L U' L' (Evelyn & Antisune)<br />
<br />
===CLL===<br />
* ...<br />
<br />
===CMLL===<br />
* ...<br />
<br />
===CLLEF===<br />
* y' R U B' R B R2 U' R' F R F'<br />
<br />
===CF / 2x2x2 (Waterman)===<br />
* ...<br />
<br />
===EG===<br />
'''EG 2''' --> 2x2x2<br />
<br />
'''EG 1'''<br />
* (y2) R U L' U' L U R' U' R U R'<br />
<br />
'''EG 0'''<br />
* ...<br />
<br />
==Navigator==<br />
{{CxLLnav}}</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=CxLL_H_D&diff=3416CxLL H D2009-06-09T08:37:43Z<p>Reif: /* COLL */</p>
<hr />
<div>== H D ==<br />
General information about the case.<br />
<br />
Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.<br />
<br><hr><br />
{| <br />
|| [[image:CxLL H D.jpg|128px|]]<br />
| valign="top"| As for all H cases you only look at the four stickers in the U-face. In this case there are two bars parallel to the corners pointing in two opposite directions. The bars has got opposite colours but even if the cube has got the same colours on the two sides it is possible to recognise the case from the fact that no other cases has got bars and parallel corners. The inverse case [[CxLL H U|H U]] looks wrey much the same but there the corners are perpendicular to the bars.<br />
|}<br />
<br />
===COLL===<br />
* R U2 (R' L') U2 R U2 R' U2 (R L) U2 R'<br />
* F R U R' U' R U R' U' R U R' U' F'<br />
* F 3x(R U R' U') F' ... same but shortnoted<br />
* (L U' R' U L' U' R) (L U' R' U L' U' R)<br />
<br />
===CLL===<br />
* ...<br />
<br />
===CMLL===<br />
* R' U R' F2 r U' R U R' F2 U M' U R<br />
<br />
===CLLEF===<br />
* F R U R U2 R' F R2 F' R' U2 R2 U F'<br />
<br />
===CF / 2x2x2 (Waterman)===<br />
* (y x) R2 U R2 (U D) R2 U R2 (x)<br />
<br />
===EG===<br />
'''EG 2''' --> 2x2x2<br />
<br />
'''EG 1'''<br />
* R2 U2 R U2 R' d' L U2 L' d R' ... not the shortest but fast<br />
<br />
'''EG 0'''<br />
* R2 U2 R U2 F2 R2<br />
<br />
==Navigator==<br />
{{CxLLnav}}</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3385PLL2009-05-27T18:01:11Z<p>Reif: /* Y Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3382PLL2009-05-26T11:17:23Z<p>Reif: /* F Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
* (y2) M U2 r' U l' U2 r U' r R2 U2 R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
* R' U2 R U2 L U' R' U L' U L U' R U L'<br />
* R' U2 R U2 L U' R' U r' F r U' R U r'<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3371PLL2009-05-23T15:56:30Z<p>Reif: /* F Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3370PLL2009-05-23T15:56:02Z<p>Reif: /* T Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3369PLL2009-05-23T15:55:24Z<p>Reif: /* R Permutation : b */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* (y x) R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* z x2 U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3368PLL2009-05-23T15:54:28Z<p>Reif: /* G Permutation : d */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* y x R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* z x2 U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3367PLL2009-05-23T15:43:40Z<p>Reif: /* T Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* y x R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
* z x2 U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3366PLL2009-05-23T15:42:04Z<p>Reif: /* R Permutation : b */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* y x R2 U l U R U' l' U' l U2 R' U2 R<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3365PLL2009-05-23T15:41:37Z<p>Reif: /* R Permutation : b */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
* z x' U2 r' U2 r U2 x U2 r U2 r' U2<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reifhttps://www.speedsolving.com/wiki/index.php?title=PLL&diff=3364PLL2009-05-23T15:34:00Z<p>Reif: </p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
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.<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
* M2 U' M2 U2' M2 U' M2<br />
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'<br />
* U' M2 U2 M2 U M2 U2 M2<br />
* F2 M2 F2 U' F2 M2 F2 U<br />
* x U2 M2 U2 B' U2 M2 U2 B<br />
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'<br />
* L R U2 L' R' F' B' U2 F B<br />
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U<br />
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2<br />
* M2 U M2 U M2 U M2 U M2 U M2 U'<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
* y2 M2 U M U2 M' U M2<br />
* M2 U M' U2 M U M2<br />
* R2 U' R' U' R U R U R U' R<br />
* y2 L2 U' L' U' L U L U L U' L<br />
* B2 U' M' U2 M U' B2<br />
* y2 R U' R U R U R U' R' U' R2<br />
* M2 U M' U2 M U2 M' U2 M U M2<br />
* y R2 U' y r U2 r' R U2 R' y' U' R2<br />
* R U R' U' L' U' L U2 R U' R' U' L' U L<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
* y2 M2 U' M U2 M' U' M2<br />
* M2 U' M' U2 M U' M2<br />
* R' U R' U' R' U' R' U R U R2<br />
* B2 U M' U2 M U B2<br />
* y2 R2 U R U R' U' R' U' R' U R'<br />
* L2 U L U L' U' L' U' L' U L'<br />
* R U' R U R U R' U' R' U' R' U2 R'<br />
* M2 U' M' U2 M U2 M' U2 M U' M2<br />
* L' U' L U R U R' U2 L' U L U R U' R'<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
* x' R U' R' U D R' D U' R' U R D2' F x<br />
* x M2 U M2 U M' U2 M2 U2 M' U2<br />
* y M2' U' M' U2' M2' U2' M' U M2'<br />
* U R' U' R U' R U R U' R' U R U R2 U' R' U<br />
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* y' M2 U2 M' U' M2 U' M2 U' M' U<br />
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L<br />
* R' U L' E2 L U' R L' U R' E2 R U' L'<br />
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2<br />
* M' U M2 U M2 U M' U2 M2 U'<br />
* U' l' U R U' D' R U D' R U' R' D2<br />
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'<br />
* M2 U' M E2 M E2 U M2<br />
* F2 M2 F2 M2 U M2 U M2 U2<br />
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R<br />
<br />
==Permutations of Corners Only==<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
* x R' U R' D2 R U' R' D2 R2<br />
* y' x L2 D2 L' U' L D2 L' U L x'<br />
* (L' B L') (F2 L B' L') (F2 L2)<br />
* y2 z F2 R U2 R' U2 F2 L' U2 L U2<br />
* y z' U2 R U2 R' F2 U2 L' U2 L F2<br />
* R' U2 R2 U' L' U R' U' L U R' U2 R<br />
* y R2 F2 (R' B' R) F2 (R' B R')<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
* y' x R2 D2 R U R' D2 R U' R<br />
* y2 x L U' L D2 L' U L D2 L2 x'<br />
* (R B' R) F2 (R' B R) (F2 R2)<br />
* y z U2 L' U2 L F2 U2 R U2 R' F2<br />
* z' F2 L' U2 L U2 F2 R U2 R' U2<br />
* y' R' U2 R U' L' U R U' L U R2 U2 R<br />
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)<br />
* z (U R' D r2 U') (R U r2' U') (D')<br />
* y (R B' R) F2 (R' B R) F2 R2<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
* x U R' U' L U R U' L' U R U' L U R' U' L'<br />
* y x' R U' R' D R U R' D2 L' U L D L' U' L<br />
* x U R' U' L U R U' r2' U' R U L U' R' U<br />
* y x R U' R' D R U R' u2 R' U R D R' U' R<br />
* l' U' L' U R U' l U R' U' L U R U' l' U<br />
* (r' R' U') (L D' L' U L) (R U' R' D R) U<br />
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2<br />
* x' U' R U L' U' R' U r2 U R' U' r' F R F'<br />
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'<br />
* R' U L' D2 L U' R L' U R' D2 R U' L<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
* R U' R' U R2 y R U R' U' x U' R' U R U2<br />
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'<br />
* R' U R U' R2 F' U' F U x R U R' U' R2 B'<br />
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U<br />
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'<br />
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F<br />
* y U' R' U R U' R'2 F' U' F U R x U R' U' R2 <br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
* R2' u R' U R' U' R u' R2 y' R' U R<br />
* y R2 D B' U B' U' B D' R2 F' U F<br />
* R L U2 R' L' (y') R' U L' U2 R U' L<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
* y L' U' L y' R2' u R' U R U' R u' R2<br />
* R' U' R B2 D L' U L U' L D' B2<br />
* (y') R' U L' U2 R U' L (y) R L U2 L' R'<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
<br />
* y R2' u' R U' R U R' u R2 B U' B'<br />
* R U R' F2 D' L U' L' U L' D F2<br />
* L' R' U2 L R (y) L U' R U2 L' U R'<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
* y L U' R U2 L' U R' y (R' L') U2 (R L)<br />
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)<br />
* F2 D' L U' L U L' D F2 R U' R'<br />
* (l' U' U' L' U l F') (U' L U F R' F R)<br />
* (y) L U' R U2 L' U R' (y') L' R' U2 L R<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
* y2 R' U2 R U R' z' R2' U R' D R U'<br />
* y2 L' R' U2 R U R' U2 L U' R U<br />
* y2 F2 L' U' r U2 l' U R' U' R2<br />
* y2 R' U2 R U R' U2' L U' R U L'<br />
* R U' L' U R' U2 L U' L' U2' L<br />
* R L d2 R' U' R d2 R' U L'<br />
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)<br />
* L' U R' U2 L U' R U L' U R' U2 L U' R<br />
* L' U2 L U L' U2 R U' L U R'<br />
* L' U' L F L' U' L U L F' L2 U L U<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
* R U2 R' U' R U2 L' U R' U' L<br />
* y2 R L U2 L' U' L U2 R' U L' U'<br />
* (R U R' F') (R U R' U' R') F (R2 U' R' U')<br />
* y' L' U' R U2 L' U L U2 L' R U<br />
* y2 F2' R U R' y r2 y' R U' R U R2'<br />
* L' U R U' L U2 R' U R U2' R'<br />
* y2 r2 U' L' U r' U2 R B' R' U2<br />
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)<br />
* L' U R' U2 L U' L' U2 R L<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R<br />
* y' L U' R U2 L' U R' L U' R U2 L' U R'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* L U' L' U L F U F' L' U' L F' L F L' U L'<br />
* R' U L' U2 R U' L R' U L' U2 R U' L<br />
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
* R U' R' U l U F U' R' F' R U' R U l' U R'<br />
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'<br />
* R U' L d2 L' U L R' U' R U2 L' U R U'<br />
* F' R U R' U' R' F R2 F U' R' U' R U F' R'<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'<br />
* L' U R' U2' L U' L' R U R' U2' L U' R U'<br />
* R' U R U' R' F' U' F R U R' F R' F' R U' R<br />
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'<br />
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'<br />
* L' U L U' r' U' F' U L F L' U L' U' r U' L<br />
* L U' R U2 L' U R' L U' R U2 L' U R' U'<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
* y2 z U R2 U' R2 U F' U' R' U R U F U2 R<br />
* y' R2 B' R' U' R' U R B R' U2 R U2 R'<br />
* R U2 R' U2 R B' R' U' R U R B R2' U<br />
* R U2 R' U2 R B' R' U' R U l U R2 F<br />
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'<br />
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'<br />
* R U2 R' U' R'F'R U2 R U2 R' F R U' R' U<br />
* y2 L U2 L' U2 L F' L' U' L U L F L2 U<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
* R' U2 R U2 R' F R U R' U' R' F' R2' U'<br />
* y R2 B2 U' R' U' R U R U B2 R U' R U<br />
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'<br />
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'<br />
* R' U2 R' D' R U' R' D R U R U' R' U' R U'<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
* R U R' U' R' F R2 U' R' U' R U R' F'<br />
* y2 L' U' L U L F' L2 U L U L' U' L F<br />
* F R U' R' U R U R2 F' R U R U' R'<br />
* L2 U' L2 D F2 R2 U R2 D' F2<br />
* R2 U' R2 D B2 L2 U L2 D' B2<br />
* R2' u' R2 U R2' y R2 u R2' U' R2<br />
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'<br />
* y2 M U2 r' U l' U2 r U' r R2 U2 R2 x'<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
* R' U R' U' y' x R' U' R2 x' U' R' U R' F R F<br />
* R' U R' U' B' D B' D' B2 R' B' R B R<br />
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U<br />
* y L' U R U' L U L' U R' U' L U2 R U2 R'<br />
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L<br />
* y' R' U L U' R U R' U L' U' R U2 L U2 L'<br />
* L U' R' U L' U' L U' R U L' U2 R' U2 R<br />
* R' U R' d' R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R<br />
* R' U R' U' y R' F' R2 U' R' U R' F R F<br />
* R' U R' U' y R' D R' D' R2 F' R' F R F<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z<br />
* F R U' R' U' R U R' F' R U R' U' R' F R F'<br />
* y F' L' U L U L' U' L F L' U' L U L' F' L F<br />
* F R U' R' F D R' y x R' U' R z R2 y L' d2<br />
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U<br />
* F R' F' R U R U' R2 U' R U l U' R' U<br />
* z U2 R U R' U' R y R U L' U L U R' U'<br />
* R' U' R F2 R' U R U y' R2 U' R2' U' R2<br />
* F R U' R' U' R d R U R' B' R U' R2<br />
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'<br />
<br />
<br>{{PLL}}<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:Cubing abbreviations and acronyms]]<br />
[[Category:Algorithms]]</div>Reif