Speedsolving.com Wiki - User contributions [en]

Orient First

2010-08-06T11:13:56Z

Larsn:

{{Method Infobox
|name=Orient First
|image=Thistlethwaite.gif
|proposers=[[Lars Nielsson]] 
|year=2008
|anames=Nielsson Orient First
|variants=[[None]]
|steps=6
|algs= Aprox. 50 (incl. [[PLL]])
|moves= 40-55
|purpose=
* [[Speedsolving]]
}}

The purpose of this method is to orient corners and edges to allow for an intuitive [[F2L]] and finishing the solve with [[PLL]]. The method consists of 6 steps:

# Orient corners;
#* This is done exactly like the first two steps of 2x2x2 method [[Guimond]]
# Orient and place E-slice edges;
#* a combination of M and U moves allows for fast execution
# Orient remaining edges;
#* This is similar to the step for orienting L6E in a [[Roux]] solve only a few extra algs or rotations for DL and DR edges
# Place DF, DB and E-slice edges;
#* E-slice edges need only to be placed in the correct L or R-slice
# Finish F2L;
#* Restricted moves to keep orientation: L2, R2 and any U moves
# Finish solve with [[PLL]]

== External Links ==
* Speedcubing.dk: [http://www.speedcubing.dk/index.php?option=com_content&view=article&id=81:lars-nielssons-orient-first-method&catid=40:advanced&Itemid=58Nielsson Lars Nielsson's Orient First Method]

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

File:Oll parity.jpg

2009-08-25T02:23:12Z

Larsn: Oll parity for 4x4x4

Oll parity for 4x4x4

PLL

2009-08-12T14:52:08Z

Larsn: /* F Permutation */

__NOTOC__
'''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]].
{{PLL}}

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.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'
* M2 U M2 U2 M2 U M2
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U

===U Permutation : a===

[[Image:u1.gif]]

* (y2) F2 U' L R' F2 L' R U' F2
* M2 U M' U2 M U M2
* (y2) M2 U M U2 M' U M2
* R2 U' R' U' R U R U R U' R
* (y2) L2 U' L' U' L U L U L U' L
* B2 U' M' U2 M U' B2
* (y2) R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* (y) R2 U' y r U2 r' R U2 R' y' U' R2
* R U R' U' L' U' L U2 R U' R' U' L' U L

===U Permutation : b===

[[Image:u.gif]]

* (y2) F2 U R' L F2 R L' U F2
* M2 U' M' U2 M U' M2
* (y2) M2 U' M U2 M' U' M2
* R' U R' U' R' U' R' U R U R2
* (y2) R2 U R U R' U' R' U' R' U R'
* B2 U M' U2 M U B2
* L2 U L U L' U' L' U' L' U L'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2
* L' U' L U R U R' U2 L' U L U R U' R'

===Z Permutation===

[[Image:z.gif]]
* x' R U' R' U D R' D U' R' U R D2' F x
* y M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2
* 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
* y R U R' U R' U' R' U R U' R' U' R2 U R U2
* y' R U R B' R' B U' R' f R U R' U' f'
* (x2 y) M2 U S2 U' S' M2 S
* M2 U (F2 M2 F2 M2) U' M2

==Permutations of Corners Only==

===A Permutation : a===

[[Image:a1.gif]]

* x R' U R' D2 R U' R' D2 R2
* y' x L2 D2 L' U' L D2 L' U L x'
* (L' B L') (F2 L B' L') (F2 L2)
* y2 z F2 R U2 R' U2 F2 L' U2 L U2
* y z' U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R
* y R2 F2 (R' B' R) F2 (R' B R')

===A Permutation : b===

[[Image:a.gif]]

* y' x R2 D2 R U R' D2 R U' R
* y2 x L U' L D2 L' U L D2 L2 x'
* (R B' R) F2 (R' B R) (F2 R2)
* y z U2 L' U2 L F2 U2 R U2 R' F2
* z' F2 L' U2 L U2 F2 R U2 R' U2
* y' R' U2 R U' L' U R U' L U R2 U2 R
* (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)
* z (U R' D r2 U') (R U r2' U') (D')
* y (R B' R) F2 (R' B R) F2 R2

===E Permutation===

[[Image:e.gif]]

* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U r2 U R' U' r' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')
* l' U' (r' F R F') (R U R' U') L (U R U' R') F

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* (y2) R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2
* (y2) M U2 r' U l' U2 r U' R2 r U2 R2

===G Permutation : a===

[[Image:g3.gif]]

* (y) R2' u R' U R' U' R u' R2 y' R' U R
* (y) R2 D B' U B' U' B D' R2 F' U F
* (y2) F2' D R' U R' U' R D' F2 L' U L
* R L U2 R' L' y' R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* R' U' R y R2 u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y2) L' U' L y' R2' u R' U R U' R u' R2
* (y') R' U L' U2 R U' L y R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]
* (y) R2' u' R U' R U R' u R2 y R U' R'
* (y) R2' u' R U' R U R' u R2 B U' B'
* (y) R2' D' F U' F U F' D R2 B U' B'
* (y2) F2' D' L U' L U L' D F2 R U' R'
* L' R' U2 L R (y) L U' R U2 L' U R'
* (y') l' U' U' L' U l F' U' L U F R' F R

===G Permutation : d===

[[Image:g.gif]]

* (y2) R U R' y' R2 u' R U' R' U R' u R2
* (y2) R U R' F2 D' L U' L' U L' D F2
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x
* (y) L U' R U2 L' U R' y R' L' U2 R L
* (y) L U' R U2 L' U R' y' L' R' U2 L R
* (y') R' F' R F' U' L' U F R' F' L F2 R

===J Permutation : a===

[[Image:j1.gif]]

* y2 R' U2 R U R' z' R2' U R' D R U'
* y2 L' R' U2 R U R' U2 L U' R U
* y2 F2 L' U' r U2 l' U R' U' R2
* y2 R' U2 R U R' U2' L U' R U L'
* B2' R2 U' R2' u R2 D' R2' U R2
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* R U2 R' U' R d2' R' U L' U' R
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y' L' U' R U2 L' U L U2 L' R U
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R' U L' U2 R U' L R' U L' U2 R U' L
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U
* R U2 R D R' U R D' R' U' R' U R U R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'
* R' U2 R' D' R U' R' D R U R U' R' U' R U'
* (y x) R2 U l U R U' l' U' l U2 R' U2 R

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* y2 L' U' L U L F' L2 U L U L' U' L F
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
* R' U R' U' y R' F' R2 U' R' U R' F R F
* R' U R' U' y R' D R' D' R2 F' R' F R F
* R' U2 R U2 L U' R' U L' U L U' R U L'
* R' U2 R U2 L U' R' U r' F r U' R U r'
* R U' L' U R' U' R U' L U R' U2 L' U2 L

===Y Permutation===

[[Image:Y.gif]]

* F R U' R' U' R U R' F' R U R' U' R' F R F'
* R2 u R2' U R2 D' R' U' R F2' R' U R
* F R' F R2 U' R' U' R U R' F' R U R' U' F'
* R' U' R F2 R' U R d R2 U' R2' U' R2
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* y F' L' U L U L' U' L F L' U' L U L' F' L F
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* F R U' R' U' R d R U R' B' R U' R2
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'

 {{PLL}}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

CxLL S R

2009-06-09T09:19:12Z

Larsn: /* COLL */

== S R ==
...
 <hr>
{|
|| [[image:CxLL aS R.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in a bar (in the image at the B-side) and the two bars together shows a chess board pattern. The case [[CxLL S L|S L]] looks much the same but there the bars shows perpendicular bars of uniform colours, not the chess board. Case [[CxLL aS F|-S F]] is the mirror of this one.
|}

===COLL===
* (y') L' U2 L U2 R U' L' U M' (x')
* (y) L U L' U' L F' L' U' L U L F L2

===CLL===
* (y') L' U2 L U2 L F' L' F ... Antisune + LF'L'F

===CMLL===
* U' Lw' U2 L U2 L F' Rw' F

===CLLEF===
* y L' B' U R' U R U' R' U2 R B L

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

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

'''EG 1'''
* ...

'''EG 0'''
* y' R2F'U2RU'RUF

==Navigator==
{{CxLLnav}}

CxLL aS R

2009-06-09T09:03:40Z

Larsn: /* COLL */

== -S R ==
...
 <hr>
{|
|| [[image:CxLL S R.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the R and L sides) The colour at the side is the same as the nearest of the two in U. The case [[CxLL aS L|-S L]] looks much the same but there the nearest sticker has got the opposite colour. Case [[CxLL S F|S F]] is the mirror of this one.
|}

===COLL===
* (y2 x) M U' L U R' U2 L' U2 L
* (y2) L2 F' L' U' L' U L F L' U L U' L'

===CLL===
* F' L F L' U2 L' U2 L ... F'LFL' + mirror Sune

===CMLL===
* ...

===CLLEF===
* y R' U2 x R' U R U' y R' U' R' U R' F

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

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

'''EG 1'''
* ...

'''EG 0'''
* R'F'U'RU'F2RF2

==Navigator==
{{CxLLnav}}

CxLL aS F

2009-06-09T08:56:28Z

Larsn: /* COLL */

== -S F ==
...
 <hr>
{|
|| [[image:CxLL S F.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in a bar (in the image at the L-side) and the two bars together shows a chess board pattern. The case [[CxLL aS B|-S B]] looks much the same but there the bars shows perpendicular bars of uniform colours, not the chess board. Case [[CxLL S R|S R]] is the mirror of this one.
|}

===COLL===
* (y2) R U2 R' U2 L' U R U' M' (x')
* R' U' R U R' F R U R' U' R' F' R2

===CLL===
* (y2) R U2 R' U2 R' F R F' ... Antisune + R'FRF'

===CMLL===
* ...

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

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

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

'''EG 1'''
* ...

'''EG 0'''
* R2F'R2UFU'R'F'

==Navigator==
{{CxLLnav}}

CxLL S F

2009-06-09T08:49:05Z

Larsn: /* COLL */

== S F ==
...
 <hr>
{|
|| [[image:CxLL aS F.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the B and F sides) The colour at the side is the same as the nearest of the two stickers in U. The case [[CxLL S B|S B]] looks much the same but there the nearest sticker has got the opposite colour. Case [[CxLL aS R|-S R]] is the mirror of this one.
|}

===COLL===
* (y' x) M U R' U' L U2 R U2 R'
* (y') R2' F R U R U' R' F' R U' R' U R

===CLL===
* (y') F R' F' R U2 R U2 R' ... FR'F'R + Sune

===CMLL===
* ...

===CLLEF===
* L U2 x L U' L' U y' L U L U' L F'

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

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

'''EG 1'''
* ...

'''EG 0'''
* y' RFRU'FU2R'F2

==Navigator==
{{CxLLnav}}

CxLL T F

2008-12-31T15:32:43Z

Larsn: /* COLL */

== T F ==
This case and the case [[CxLL U F|U F]] are inverses of each other so the same algorithm (9 move commutator or mirror) can be used to solve both.
 <hr>
{|
|| [[image:CxLL T F.jpg|128px|]]
| valign="top"| As for all T cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb. In this case the bar at Ub has got one colour and the bar at the F-side has got two opposite colours.
|}

===COLL===
* (y2 x') U' R2 U' L2 U R2 U' L2 U2 (x)
* (y') l' U2 R' D2 R U2 R' D2 R2 (x')
* F U' r' F R2 F' r U R2 F'
* (U) F' R' F U2 F' R F R' U2 R

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 R B' R' B y U2 R U2 B2 L' B' L B' R

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS D

2008-12-23T19:29:50Z

Larsn: /* CLLEF */

== -S D ==
...
 <hr>
{|
|| [[image:CxLL S D.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the opposite colour as that one (in the image; Ulf = red and uLb = orange). The inverse case [[CxLL aS U|-S U]] looks wery much the same but there the sticker on the oriented corner has got the same colour.
|}

===COLL===
* L' U' L U' R U' L' U R' U2 L ... mirror Sune with two inserts; RU' and UR'

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 r' U' R2 U' l U2 r' U r U2 l D2 L x
* y' R B U L U L' U L U L' U' B' U2 R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL S D

2008-12-23T19:21:14Z

Larsn: /* CLLEF */

== S D ==
...
 <hr>
{|
|| [[image:CxLL aS D.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the opposite colour as that one (in the image; Urb = green and uBl = blue). The inverse case [[CxLL S U|S U]] looks wery much the same but there the sticker on the oriented corner has got the same colour.
|}

===COLL===
* (y) R U R' U L' U R U' L U2 R' ... Sune with two inserts; L'U and U'L

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y' l U2 L2 U r' U2 l U' l' U2 r' D2 R' x'
* y2 L' B' U' R' U' R U' R' U' R U B U2 L

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi F

2008-12-18T19:53:22Z

Larsn: /* CLLEF */

== Pi F ==

{|
|| [[image:CxLL pi F.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is two of the same colour in a bar at the side where two corners are pointing away from each other and on the side where the corners are pointing in the same direction the bar has got the opposite colour.
|}

===COLL===
* (y') L' U R U' L U' R' U' R U' R' ... [[Niklas]] + [[Sune|Antisune]], wery fast.

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* R U' R2 D' r U r' D R2 U R' ... same as [[CxLL H F]] with U in middle instead of U'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi F

2008-12-18T19:53:07Z

Larsn: /* CLLEF */

== Pi F ==

{|
|| [[image:CxLL pi F.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is two of the same colour in a bar at the side where two corners are pointing away from each other and on the side where the corners are pointing in the same direction the bar has got the opposite colour.
|}

===COLL===
* (y') L' U R U' L U' R' U' R U' R' ... [[Niklas]] + [[Sune|Antisune]], wery fast.

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* R U' R2 D' r U r' D R2 U R' ... same as [[CxLL HF]] with U in middle instead of U'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi F

2008-12-18T19:52:49Z

Larsn: /* CLLEF */

== Pi F ==

{|
|| [[image:CxLL pi F.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is two of the same colour in a bar at the side where two corners are pointing away from each other and on the side where the corners are pointing in the same direction the bar has got the opposite colour.
|}

===COLL===
* (y') L' U R U' L U' R' U' R U' R' ... [[Niklas]] + [[Sune|Antisune]], wery fast.

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* R U' R2 D' r U r' D R2 U R' ... same as [[HF]] with U in middle instead of U'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H F

2008-12-18T19:52:06Z

Larsn: /* CLLEF */

== H F / H B ==
Do y2 for H B and it becomes the same as H F
 <hr>
{|
|| [[image:CxLL H F.jpg|128px|]]
| 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 parallel to the pairs of white stickers pointing in two opposite directions on the sides. The cases [[CxLL H L|H L]] and [[CxLL H R|H R]] looks wery much the same but there the bars are perpendicular to the whites.
|}

===COLL===
* L U' R' U L' U R U2 L U' R' U M (x) ... [[Niklas]] but diffrent ending

===CLL===
* L U' R' U L' U R U2 l U' R'U (x) ... [[Niklas]] but diffrent ending

===CMLL===
* ...

===CLLEF===
* y2 R U' R2 D' r U' r' D R2 U R' ... same as [[CxLL Pi F]] with U' in middle instead of U
* L U' L2 D' R B' R' D L2 U L'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H F

2008-12-18T19:51:54Z

Larsn: /* CLLEF */

== H F / H B ==
Do y2 for H B and it becomes the same as H F
 <hr>
{|
|| [[image:CxLL H F.jpg|128px|]]
| 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 parallel to the pairs of white stickers pointing in two opposite directions on the sides. The cases [[CxLL H L|H L]] and [[CxLL H R|H R]] looks wery much the same but there the bars are perpendicular to the whites.
|}

===COLL===
* L U' R' U L' U R U2 L U' R' U M (x) ... [[Niklas]] but diffrent ending

===CLL===
* L U' R' U L' U R U2 l U' R'U (x) ... [[Niklas]] but diffrent ending

===CMLL===
* ...

===CLLEF===
* y2 R U' R2 D' r U' r' D R2 U R' ... same as [[CxLL Pi F]Pi F] with U' in middle instead of U
* L U' L2 D' R B' R' D L2 U L'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H F

2008-12-18T19:51:23Z

Larsn: /* H F / H B */

== H F / H B ==
Do y2 for H B and it becomes the same as H F
 <hr>
{|
|| [[image:CxLL H F.jpg|128px|]]
| 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 parallel to the pairs of white stickers pointing in two opposite directions on the sides. The cases [[CxLL H L|H L]] and [[CxLL H R|H R]] looks wery much the same but there the bars are perpendicular to the whites.
|}

===COLL===
* L U' R' U L' U R U2 L U' R' U M (x) ... [[Niklas]] but diffrent ending

===CLL===
* L U' R' U L' U R U2 l U' R'U (x) ... [[Niklas]] but diffrent ending

===CMLL===
* ...

===CLLEF===
* y2 R U' R2 D' r U' r' D R2 U R' ... same as [[Pi F]] with U' in middle instead of U
* L U' L2 D' R B' R' D L2 U L'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H F

2008-12-18T19:49:34Z

Larsn: /* CLLEF */

== H F / H B ==
Do y2 for H B and it becomes the same as H F
 <hr>
{|
|| [[image:CxLL H F.jpg|128px|]]
| 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 parallel to the pairs of white stickers pointing in two opposite directions on the sides. The cases [[CxLL H L|H L]] and [[CxLL H R|H R]] looks wery much the same but there the bars are perpendicular to the whites.
|}

===COLL===
* L U' R' U L' U R U2 L U' R' U M (x) ... [[Niklas]] but diffrent ending

===CLL===
* L U' R' U L' U R U2 l U' R'U (x) ... [[Niklas]] but diffrent ending

===CMLL===
* ...

===CLLEF===
* y2 R U' R2 D' r U' r' D R2 U R'
* L U' L2 D' R B' R' D L2 U L'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H D

2008-12-18T19:37:41Z

Larsn: /* CLLEF */

== H D ==
General information about the case.

Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.
 <hr>
{|
|| [[image:CxLL H D.jpg|128px|]]
| 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.
|}

===COLL===
* R U2 (R' L') U2 R U2 R' U2 (R L) U2 R'
* F R U R' U' R U R' U' R U R' U' F'
* F 3x(R U R' U') F' ... same but shortnoted
===CLL===
* ...

===CMLL===
* R' U R' F2 r U' R U R' F2 U M' U R

===CLLEF===
* F R U R U2 R' F R2 F' R' U2 R2 U F'

===CF / 2x2x2 (Waterman)===
* (y x) R2 U R2 (U D) R2 U R2 (x)

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

'''EG 1'''
* R2 U2 R U2 R' d' L U2 L' d R' ... not the shortest but fast

'''EG 0'''
* R2 U2 R U2 F2 R2

==Navigator==
{{CxLLnav}}

CxLL H U

2008-12-18T18:37:00Z

Larsn: /* CLLEF */

== H U ==
This is the double [[Sune]] case. You can solve it using Sune, Antisune, mirrors also from the B, R an L sides or do y, y', y2 and all of them does diffrent edge permutations (all possible U PLLs). You can solve 8:12 H U [[ZBLL]] cases from the use of only doble Sunes (the rest are 2*Z PLL, H PLL and solved). Recognition is: place all corners using [[AUF]], then if one edge is permuted it is one of the double Sunes. Place the edge at F-side using y or AUF and do one of the four variations. If you do COLL you can easily learn these ZB's from experiments with Sune and Antisune, no extra algorithms are needed.

Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.
 <hr>
{|
|| [[image:CxLL H U.jpg|128px|]]
| 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 perpendicular 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 perpendicular to the corners. The inverse case [[CxLL H D|H D]] looks very much the same but there the bars are parallel to the corners.
|}

===COLL===
* (y) R U R' U R U' R' U R U2 R' ... double [[Sune]]

===CLL===
* ...

===CMLL===
* F2 U2 F M U2 M F M2 F ... well, it's short
* d R' U2 R U2 R U2 R U2 R' ... or y U instead of d

===CLLEF===
* y r' R2 U R' U R U' R' U r U2 r' U' M'

===CF / 2x2x2 (Waterman)===
* R2 U2 R U2 R2

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

'''EG 1'''
* ...

'''EG 0'''
* (y x) R2 U R2 (U D) R2 U' R2 (x)

==Navigator==
{{CxLLnav}}

CxLL Pi L

2008-12-18T16:29:38Z

Larsn: /* CLLEF */

== Pi L ==

{|
|| [[image:CxLL pi L.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the four stickers in the U-face. Here it is two diagonal of the same colour and the other two has got opposite colours. If the two corners that are pointing in the same direction are at the F-side then the diagonal is at LF-RB, if the diagonal is at RF-LB then it is the mirror case [[CxLL Pi R|Pi R]].
|}

===COLL===
* (y) L' U2 L U L' U' L U2 R U' L' U M' (x') ... left side double [[Sune|Antisune]] but ended diffrently.

===CLL===
* (y) L' U2 L U L' U' L U2 L F' L' F

===CMLL===
* R' F2 R F' R U' L' B' U

===CLLEF===
* y' R U R' d R' U2 R B U' B2 R B R'
* y' R' L' U2 R B' R' U2 R2 B R' U2 L

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

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

'''EG 1'''
*

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi R

2008-12-18T16:27:17Z

Larsn: /* CLLEF */

== Pi R ==

{|
|| [[image:CxLL pi R.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the four stickers in the U-face. Here it is two diagonal of the same colour and the other two has got opposite colours. If the two corners that are pointing in the same direction are at the F-side then the diagonal is at RF-LB, if the diagonal is at LF-RB then it is the mirror case [[CxLL Pi L|Pi L]].
|}

===COLL===
* (y) R U2 R' U' R U R' U2 L' U R U' M' (x') ... double [[Sune|Antisune]] but ended diffrently.

===CLL===
* (y) R U2 R' U' R U R' U2 R' F R F'

===CMLL===
* (x) U' B L U R' U2 F R' F2 R

===CLLEF===
* y2 R B' R' B2 U B' R' U2 R d' R U' R'
* y L R U2 L' B L U2 L2 B' L U2 R'

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

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

'''EG 1'''
* R U2 R' (y') R U' R' U R' U2 R

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi F

2008-12-18T14:46:28Z

Larsn: /* CLLEF */

== Pi F ==

{|
|| [[image:CxLL pi F.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is two of the same colour in a bar at the side where two corners are pointing away from each other and on the side where the corners are pointing in the same direction the bar has got the opposite colour.
|}

===COLL===
* (y') L' U R U' L U' R' U' R U' R' ... [[Niklas]] + [[Sune|Antisune]], wery fast.

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* R U' R2 D' r U r' D R2 U R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL L D

2008-12-16T08:12:34Z

Larsn: /* CLLEF */

== L D ==
General description of the case...
 <hr>
{|
|| [[image:CxLL L D.jpg|128px|]]
| valign="top"| In this case you only need to look at the stickers around one of the two twisted corners, if there are all four side colours involved it will be this case. Two of them are at the twisted corner and the other two are at the sides of the two oriented corners.
|}

===COLL===
* (y) R' U2 L U' L' U2 (R L) U' L'

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 M U M' L U2 L2 B L B' R B2 R'
* R U2 R' U' y' R' F' L' U' L U' F U R

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL L D

2008-12-16T08:11:11Z

Larsn: /* CLLEF */

== L D ==
General description of the case...
 <hr>
{|
|| [[image:CxLL L D.jpg|128px|]]
| valign="top"| In this case you only need to look at the stickers around one of the two twisted corners, if there are all four side colours involved it will be this case. Two of them are at the twisted corner and the other two are at the sides of the two oriented corners.
|}

===COLL===
* (y) R' U2 L U' L' U2 (R L) U' L'

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 M U M' L U2 L2 B L B' R B2 R'
* y' B U2 B' U' R' F' L' U' L U' F U R

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL S L

2008-12-15T19:58:25Z

Larsn: /* CLLEF */

== S L ==
...
 <hr>
{|
|| [[image:CxLL aS L.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the B-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL S R|S R]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL aS B|-S B]] is the mirror of this one.
|}

===COLL===
* L' U2 (L R) U2 L' U L U2 (R' L') U2 L
* L' U2 Ra U2 L' U L U2 Ra' U2 L ... same but Ra notation
* (x') U L' F2 L U' L' U F2 U' r ... optimal, preserves edge permutation

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* r U2 (L' r') U2 r U r' U2 (L r) U2 r'
* y2 L' B2 L2 U2 L' B L U2 L2 B2 L

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL S L

2008-12-15T19:57:00Z

Larsn: /* CLLEF */

== S L ==
...
 <hr>
{|
|| [[image:CxLL aS L.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the B-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL S R|S R]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL aS B|-S B]] is the mirror of this one.
|}

===COLL===
* L' U2 (L R) U2 L' U L U2 (R' L') U2 L
* L' U2 Ra U2 L' U L U2 Ra' U2 L ... same but Ra notation
* (x') U L' F2 L U' L' U F2 U' r ... optimal, preserves edge permutation

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* r U2 (L' r') U2 r U r' U2 (L r) U2 r
* y2 L' B2 L2 U2 L' B L U2 L2 B2 L

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS B

2008-12-15T13:44:38Z

Larsn: /* CLLEF */

== -S B ==
...
 <hr>
{|
|| [[image:CxLL S B.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the L-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL aS F|-S F]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL S L|S L]] is the mirror of this one.
|}

===COLL===
* (y) R U2 (R' L') U2 R U' R' U2 (L R) U2 R'
* (y) R U2 Ra' U2 R U' R' U2 Ra U2 R' ... same but Ra notation
* (y x') U' R F2 R' U R U' F2 U l' ... optimal, preserves edge permutation

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y r U2 (r' L') U2 r U' r' U2 (L r) U2 r'
* y' R B2 R2 U2 R B' R' U2 R2 B2 R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL U B

2008-12-15T13:02:32Z

Larsn: /* CLLEF */

== U B ==
This is one of the bad COLL's, there are no good algs for it, the shortest are 13 [[HTM]], go to page [[COLL U B CubeX Algorithms]] for a full list of all 13 turn algorithms.
 <hr>
{|
|| [[image:CxLL U B.jpg|128px|]]
| valign="top"| As for all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb. In this case both bars are one colour each (the one at the F-side is actually solved and for the other the whole bar is fliped).
|}

===COLL===
* (y') R U2 (R2 L') U2 L U L' U2 R2 U' M' (x')

===CLL===
* (y2) F R U2 L U' R' U L' U2 F'
* (y2) F R U R' U2 (y') L' U R' U' L ... FRUR'U'F' + [[Niklas]]

===CMLL===
* ...

===CLLEF===
* (y') R B' R' B2 U B' R' U2 R y' L U2 L'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H F

2008-12-12T19:10:03Z

Larsn: /* H F / H B */

== H F / H B ==
Do y2 for H B and it becomes the same as H F
 <hr>
{|
|| [[image:CxLL H F.jpg|128px|]]
| 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 parallel to the pairs of white stickers pointing in two opposite directions on the sides. The cases [[CxLL H L|H L]] and [[CxLL H R|H R]] looks wery much the same but there the bars are perpendicular to the whites.
|}

===COLL===
* L U' R' U L' U R U2 L U' R' U M (x) ... [[Niklas]] but diffrent ending

===CLL===
* L U' R' U L' U R U2 l U' R'U (x) ... [[Niklas]] but diffrent ending

===CMLL===
* ...

===CLLEF===
* L U' L2 D' R B' R' D L2 U L'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H R

2008-12-12T19:04:26Z

Larsn: /* H R / H L */

== H R / H L ==
Do y2 for H L and it becomes the same as H R
 <hr>
{|
|| [[image:CxLL H R.jpg|128px|]]
| 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.
|}

===COLL===
* (y2) R U R' U R U L' U R' U' L ... [[Sune]] + [[Niklas]], very fast

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y' R U B' R B R2 U' R' F R F'

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

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

'''EG 1'''
* (y2) R U L' U' L U R' U' R U R'

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL H D

2008-12-12T19:01:41Z

Larsn: /* H D */

== H D ==
General information about the case.

Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.
 <hr>
{|
|| [[image:CxLL H D.jpg|128px|]]
| 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.
|}

===COLL===
* R U2 (R' L') U2 R U2 R' U2 (R L) U2 R'
* F R U R' U' R U R' U' R U R' U' F'
* F 3x(R U R' U') F' ... same but shortnoted
===CLL===
* ...

===CMLL===
* R' U R' F2 r U' R U R' F2 U M' U R

===CLLEF===
* F R U R U2 R' F R2 F' R U2 R2 U F'

===CF / 2x2x2 (Waterman)===
* (y x) R2 U R2 (U D) R2 U R2 (x)

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

'''EG 1'''
* R2 U2 R U2 R' d' L U2 L' d R' ... not the shortest but fast

'''EG 0'''
* R2 U2 R U2 F2 R2

==Navigator==
{{CxLLnav}}

CxLL H U

2008-12-12T18:59:21Z

Larsn: /* H U */

== H U ==
This is the double [[Sune]] case. You can solve it using Sune, Antisune, mirrors also from the B, R an L sides or do y, y', y2 and all of them does diffrent edge permutations (all possible U PLLs). You can solve 8:12 H U [[ZBLL]] cases from the use of only doble Sunes (the rest are 2*Z PLL, H PLL and solved). Recognition is: place all corners using [[AUF]], then if one edge is permuted it is one of the double Sunes. Place the edge at F-side using y or AUF and do one of the four variations. If you do COLL you can easily learn these ZB's from experiments with Sune and Antisune, no extra algorithms are needed.

Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.
 <hr>
{|
|| [[image:CxLL H U.jpg|128px|]]
| 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 perpendicular 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 perpendicular to the corners. The inverse case [[CxLL H D|H D]] looks very much the same but there the bars are parallel to the corners.
|}

===COLL===
* (y) R U R' U R U' R' U R U2 R' ... double [[Sune]]

===CLL===
* ...

===CMLL===
* F2 U2 F M U2 M F M2 F ... well, it's short
* d R' U2 R U2 R U2 R U2 R' ... or y U instead of d

===CLLEF===
* y L' R2 B R' B R B' R' B L U2 L' B' M'

===CF / 2x2x2 (Waterman)===
* R2 U2 R U2 R2

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

'''EG 1'''
* ...

'''EG 0'''
* (y x) R2 U R2 (U D) R2 U' R2 (x)

==Navigator==
{{CxLLnav}}

CxLL Pi B

2008-12-12T18:51:41Z

Larsn: /* Pi B */

== Pi B ==

{|
|| [[image:CxLL pi B.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is a easy to spot chess board pattern of two opposite colours.
|}

===COLL===
* (y2 x) M U R' U' L U2 R U L' U R' U' L ... undo pair + [[Niklas]]

===CLL===
* (y2 x) F R' F' R U2 R U L' U R' U' L ... FR'F'R + [[Niklas]]

===CMLL===
* ...

===CLLEF===
* y2 R B' R' B U y' L2 F' L' F U' L'

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

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

'''EG 1'''
* R U' R' U R U L' U' L U' R'

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi F

2008-12-12T18:49:52Z

Larsn: /* Pi F */

== Pi F ==

{|
|| [[image:CxLL pi F.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the stickers in the U-face. Here it is two of the same colour in a bar at the side where two corners are pointing away from each other and on the side where the corners are pointing in the same direction the bar has got the opposite colour.
|}

===COLL===
* (y') L' U R U' L U' R' U' R U' R' ... [[Niklas]] + [[Sune|Antisune]], wery fast.

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* R U' R2 D' L F L' D R2 U R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi L

2008-12-12T18:41:31Z

Larsn: /* Pi L */

== Pi L ==

{|
|| [[image:CxLL pi L.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the four stickers in the U-face. Here it is two diagonal of the same colour and the other two has got opposite colours. If the two corners that are pointing in the same direction are at the F-side then the diagonal is at LF-RB, if the diagonal is at RF-LB then it is the mirror case [[CxLL Pi R|Pi R]].
|}

===COLL===
* (y) L' U2 L U L' U' L U2 R U' L' U M' (x') ... left side double [[Sune|Antisune]] but ended diffrently.

===CLL===
* (y) L' U2 L U L' U' L U2 L F' L' F

===CMLL===
* R' F2 R F' R U' L' B' U

===CLLEF===
* y' R U R' d R' U2 R B U' B2 R B R'

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

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

'''EG 1'''
*

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi R

2008-12-12T18:35:57Z

Larsn: /* CMLL */

== Pi R ==

{|
|| [[image:CxLL pi R.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the four stickers in the U-face. Here it is two diagonal of the same colour and the other two has got opposite colours. If the two corners that are pointing in the same direction are at the F-side then the diagonal is at RF-LB, if the diagonal is at LF-RB then it is the mirror case [[CxLL Pi L|Pi L]].
|}

===COLL===
* (y) R U2 R' U' R U R' U2 L' U R U' M' (x') ... double [[Sune|Antisune]] but ended diffrently.

===CLL===
* (y) R U2 R' U' R U R' U2 R' F R F'

===CMLL===
* (x) U' B L U R' U2 F R' F2 R

===CLLEF===
* y2 R B' R' B2 U B' R' U2 R d' R U' R'

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

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

'''EG 1'''
* R U2 R' (y') R U' R' U R' U2 R

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi R

2008-12-12T18:35:41Z

Larsn: /* Pi R */

== Pi R ==

{|
|| [[image:CxLL pi R.jpg|128px|]]
| valign="top"| As for all Pi cases you only look at the four stickers in the U-face. Here it is two diagonal of the same colour and the other two has got opposite colours. If the two corners that are pointing in the same direction are at the F-side then the diagonal is at RF-LB, if the diagonal is at LF-RB then it is the mirror case [[CxLL Pi L|Pi L]].
|}

===COLL===
* (y) R U2 R' U' R U R' U2 L' U R U' M' (x') ... double [[Sune|Antisune]] but ended diffrently.

===CLL===
* (y) R U2 R' U' R U R' U2 R' F R F'

===CMLL===
* (x) U' B L U R' U2 F R' F2 R

===CMLL===
* y2 R B' R' B2 U B' R' U2 R d' R U' R'

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

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

'''EG 1'''
* R U2 R' (y') R U' R' U R' U2 R

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi D

2008-12-12T18:29:05Z

Larsn: /* Pi D */

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

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

===COLL===
* (y) R F' U' R2 (y) L U' L' U (y') R2 U F R' ... setup <the move> unsetup
* (y) R F' U' R2 (y) L U' L' d R2 d l U' (x) ... same, a little optimised

===CLL===
* (y') R U R' U R U' (y) R U' l U' (x')
* L' U2 R d' R' U2 R d R' U2 L

===CMLL===
* ...

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

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

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

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

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi U

2008-12-12T18:24:10Z

Larsn: /* CLLEF */

== Pi U ==
Most algorithms that solves [[OLL#OLL 22|OLL 22]] can be used for this COLL, same goes for CLL but then also [[OLL#OLL 2|OLL 2]], [[OLL#OLL 47|OLL 47-50]] and [[OLL#OLL 51|OLL 51-52]] may be useful.

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

===COLL===
* (y) R U2 R2 U' R2 U' R2 U2 R ... the standard [[OLL]] for this case, ([[Bruno]]).
* (y') F U R U' R' F2 L' U' L U F

===CLL===
* (y') F U R U' R' U R U' R' F'
* (y) F R U R' U' R U R' U' F'

===CMLL===
* R U (R' l') U' (L r) F U2 F' U R'

===CLLEF===
* r' U' r U2 r' U2 R U2 R' U r ... ([[Bruno]]) from B using double layer moves
* y F R U R' U' F' f R U R' U' f'

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

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

'''EG 1'''
* R U B2 R2 U' B2 U' B'
* R U (R' L') U' (L R) U L U2 (L' R')
* R U Ra' U' Ra U L U2 Ra' ... same but Ra notation
* R U R' F' R U2 R' F' U2 F

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL Pi U

2008-12-12T18:22:41Z

Larsn: /* Pi U */

== Pi U ==
Most algorithms that solves [[OLL#OLL 22|OLL 22]] can be used for this COLL, same goes for CLL but then also [[OLL#OLL 2|OLL 2]], [[OLL#OLL 47|OLL 47-50]] and [[OLL#OLL 51|OLL 51-52]] may be useful.

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

===COLL===
* (y) R U2 R2 U' R2 U' R2 U2 R ... the standard [[OLL]] for this case, ([[Bruno]]).
* (y') F U R U' R' F2 L' U' L U F

===CLL===
* (y') F U R U' R' U R U' R' F'
* (y) F R U R' U' R U R' U' F'

===CMLL===
* R U (R' l') U' (L r) F U2 F' U R'

===CLLEF===
* r' U' r U2 r' U2 R U2 R' U r ... ([[Bruno]]) from B using double layer moves

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

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

'''EG 1'''
* R U B2 R2 U' B2 U' B'
* R U (R' L') U' (L R) U L U2 (L' R')
* R U Ra' U' Ra U L U2 Ra' ... same but Ra notation
* R U R' F' R U2 R' F' U2 F

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS B

2008-12-12T18:19:58Z

Larsn: /* -S B */

== -S B ==
...
 <hr>
{|
|| [[image:CxLL S B.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the L-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL aS F|-S F]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL S L|S L]] is the mirror of this one.
|}

===COLL===
* (y) R U2 (R' L') U2 R U' R' U2 (L R) U2 R'
* (y) R U2 Ra' U2 R U' R' U2 Ra U2 R' ... same but Ra notation
* (y x') U' R F2 R' U R U' F2 U l' ... optimal, preserves edge permutation

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y' R B2 R2 U2 R B' R' U2 R2 B2 R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS F

2008-12-12T18:17:34Z

Larsn: /* -S F */

== -S F ==
...
 <hr>
{|
|| [[image:CxLL S F.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in a bar (in the image at the L-side) and the two bars together shows a chess board pattern. The case [[CxLL aS B|-S B]] looks much the same but there the bars shows perpendicular bars of uniform colours, not the chess board. Case [[CxLL S R|S R]] is the mirror of this one.
|}

===COLL===
* (y2) R U2 R' U2 L' U R U' M' (x')

===CLL===
* (y2) R U2 R' U2 R' F R F' ... Antisune + R'FRF'

===CMLL===
* ...

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

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS L

2008-12-12T18:14:57Z

Larsn: /* -S L */

== -S L ==
The classic [[Niklas]].
 <hr>
{|
|| [[image:CxLL S L.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the R and L sides) The colour at the side is the opposite of the nearest of the two stickers in U. The case [[CxLL aS R|-S R]] looks much the same but there the nearest sticker has got the same colour. Case [[CxLL S B|S B]] is the mirror of this one.
|}

===COLL===
* (y') R' U L U' R U L' ... [[Niklas]]

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 R' U' R y' R B R' L U2 L' U R B R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS R

2008-12-12T18:11:41Z

Larsn: /* -S R */

== -S R ==
...
 <hr>
{|
|| [[image:CxLL S R.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the R and L sides) The colour at the side is the same as the nearest of the two in U. The case [[CxLL aS L|-S L]] looks much the same but there the nearest sticker has got the opposite colour. Case [[CxLL S F|S F]] is the mirror of this one.
|}

===COLL===
* (y2 x) M U' L U R' U2 L' U2 L

===CLL===
* F' L F L' U2 L' U2 L ... F'LFL' + mirror Sune

===CMLL===
* ...

===CLLEF===
* y R' U2 x R' U R U' y R' U' R' U R' F

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS D

2008-12-12T18:08:42Z

Larsn: /* -S D */

== -S D ==
...
 <hr>
{|
|| [[image:CxLL S D.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the opposite colour as that one (in the image; Ulf = red and uLb = orange). The inverse case [[CxLL aS U|-S U]] looks wery much the same but there the sticker on the oriented corner has got the same colour.
|}

===COLL===
* L' U' L U' R U' L' U R' U2 L ... mirror Sune with two inserts; RU' and UR'

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y' R B U L U L' U L U L' U' B' U2 R'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS U

2008-12-12T18:06:23Z

Larsn: /* CLLEF */

== -S U ==
'''-S U n e''', this is the inverse of the classic [[Sune]], the Antisune. There is basicly only one alg used for this case no matter if the method is COLL, CLL or whatever (exept EG 1/0).
 <hr>
{|
|| [[image:CxLL S U.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the same colour as that one (in the image; Ulf and uLb = orange). The inverse case [[CxLL aS D|-S D]] looks wery much the same but there the sticker on the oriented corner has got the opposite colour.
|}

===COLL===
* (y) R U2 R' U' R U' R' ... Antisune
* (y2) L' U' L U' L' U2 L ... mirror Sune

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 r' R U' r U2 r' U' R U' R2' r

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL aS U

2008-12-12T18:05:28Z

Larsn: /* -S U */

== -S U ==
'''-S U n e''', this is the inverse of the classic [[Sune]], the Antisune. There is basicly only one alg used for this case no matter if the method is COLL, CLL or whatever (exept EG 1/0).
 <hr>
{|
|| [[image:CxLL S U.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are diagonal stickers in U and the one that is nearest the sticker on the oriented corner has got the same colour as that one (in the image; Ulf and uLb = orange). The inverse case [[CxLL aS D|-S D]] looks wery much the same but there the sticker on the oriented corner has got the opposite colour.
|}

===COLL===
* (y) R U2 R' U' R U' R' ... Antisune
* (y2) L' U' L U' L' U2 L ... mirror Sune

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y r' R U' r U2 r' U' R U' R2' r

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL S B

2008-12-12T18:02:08Z

Larsn: /* S B */

== S B ==
The classic [[Niklas]].
 <hr>
{|
|| [[image:CxLL aS B.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the B and F sides) The colour at the side is the opposite of the nearest of the two stickers in U. The case [[CxLL S F|S F]] looks much the same but there the nearest sticker has got the same colour. Case [[CxLL aS L|-S L]] is the mirror of this one.
|}

===COLL===
* (y') R U' L' U R' U' L ... [[Niklas]]

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* M U' M' U2 R B' R' F U' B' U S

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL S F

2008-12-12T17:58:31Z

Larsn: /* S F */

== S F ==
...
 <hr>
{|
|| [[image:CxLL aS F.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are faceing away from each other (in the image at the B and F sides) The colour at the side is the same as the nearest of the two stickers in U. The case [[CxLL S B|S B]] looks much the same but there the nearest sticker has got the opposite colour. Case [[CxLL aS R|-S R]] is the mirror of this one.
|}

===COLL===
* (y' x) M U R' U' L U2 R U2 R'

===CLL===
* (y') F R' F' R U2 R U2 R' ... FR'F'R + Sune

===CMLL===
* ...

===CLLEF===
* L U2 x L U' L' U y' L U L U' L F'

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}

CxLL S L

2008-12-12T17:54:21Z

Larsn: /* CMLL */

== S L ==
...
 <hr>
{|
|| [[image:CxLL aS L.jpg|128px|]]
| valign="top"| As for all Sune cases you look for two sticker of opposite colours in the U-face and then find at least one more of the same colours. One of them is always at one side of the single oriented corner. In this case there are two adjacent stickers in U, a bar you can say and the other two are in another bar (in the image at the B-side) and the two bars together shows perpendicular bars of uniform colours. The case [[CxLL S R|S R]] looks much the same but there the bars has got a chess board pattern. Case [[CxLL aS B|-S B]] is the mirror of this one.
|}

===COLL===
* L' U2 (L R) U2 L' U L U2 (R' L') U2 L
* L' U2 Ra U2 L' U L U2 Ra' U2 L ... same but Ra notation
* (x') U L' F2 L U' L' U F2 U' r ... optimal, preserves edge permutation

===CLL===
* ...

===CMLL===
* ...

===CLLEF===
* y2 L' B2 L2 U2 L' B L U2 L2 B2 L

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

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

'''EG 1'''
* ...

'''EG 0'''
* ...

==Navigator==
{{CxLLnav}}