OLLCP-A

2011-08-21T17:43:58Z

Axiys: /* Adjacent flip */

'''CPEOLL''', ''corner permutation and edges orientation of the last layer'', an [[experimental method]] for the [[3x3x3 cube]] that [[permute]]s the [[last layer]] [[corner]]s and [[orient]]s the last layer [[edge]]s preserving [[F2L]]. This is the second last step and the goal is to reach [[EPLL]]. Normally it would be used as a add on to the [[Fridrich method]] the times [[CO]] skips (occures 1:27 times) but it may be used as a second step in a 3-look last layer where the first step is to orient the corners.

CPEOLL is a sub group of CEOLL or CLLEO (CLL + EO), the same as OCPLL or [[OLLCP]] (OLL + CP), a very advanced method with more than 300 cases that solves all last layer but EPLL in one look.

===See also:===
* [[OLL]], [[PLL]], [[CLL]], [[ELL]]
* [[OLLCP]]
* [[Fridrich Method]]
* [http://www.speedsolving.com/forum/showthread.php?t=23005 Thread discussing this method]
* [http://www.speedsolving.com/forum/showthread.php?21210-KCLL Some algorithms]

=CPEOLL cases=
There are 15 cases, three of them have corners correctly permuted ([[CLL]] skip) and may be solved in one look using [[ELL]], two has got edges oriented and may be solved in one look using [[PLL]] ([[OLL]] skip). Removing those cases it is only 10 left (2 are mirror cases) and of those 4 may be solved using [[J-PLL]] + M setup and one can be solved using [[Y-PLL]] (or [[V-PLL]]) with a M move setup.

== Corners permuted ==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
===Adjacent flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL PA.jpg]]
|

{{Alg|M U M' U2 M U M'}}
{{Alg|(y2) M' U M U2 M' U M}}
{{Alg|Rw U R' U' M U R U' R'}}
<center>Use [[ELL]] to solve in one look.</center>

|}

|

===Opposite flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL PO.jpg]]
|

{{Alg|(x') M' U' R U M U' R' U (x)}}
{{Alg|(R U R' U') M' (U R U' r')}}
<center>Use [[ELL]] to solve in one look.</center>

|}

|}
{|border="0" width="50%" valign="top" cellpadding="3"
|-valign="top"
|

===4-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL P4.jpg]]
|

{{Alg|M' U2 M U2 M' U M U2 M' U2 M (U')}}
{{Alg|r U R' U' M2 U R U' R' U' M' (U)}}
<center>Use [[ELL]] to solve in one look.</center>

|}
|}

== Edges oriented ==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
===Adjacent PLL===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL AO.jpg]]
|

{{Alg|R L U2 R' U' R U2 L' U R' (U')}}
<center>Use [[PLL]] to solve in one look.</center>

|}

|

===Diagonal PLL===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL DO.jpg]]
|

{{Alg|R' U L' U2 R U' L d' L U' R U2 L' U R'}}
<center>Use [[PLL]] to solve in one look.</center>

|}

|}

== Adjacent corners ==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
===FR-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
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[[File:CPEOLL AFR.jpg]]
|

{{Alg|(y' x') (L' U L') U2 (R U' R') U2' L2 (x)}}
{{Alg|r U R' U' r' F R2 U' R' U' R U R' F'}}
|}

|

===RB-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL ARB.jpg]]
|
{{Alg|(y' x') (R U' R) U2' (L' U L) U2 R2 (x)}}
{{Alg|(y2) l' U' L U l F' L2 U L U L' U' L F}}
|}

|}

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

===BL-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL ABL.jpg]]
|
{{Alg|(x') L2 U2 R U R' U2 L U' r}}
{{Alg|(y2 x) R2 U2 L U L' U2 R U' l}}
|}

|

===LF-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL ALF.jpg]]
|

{{Alg|(x) L2 U2 R' U' R U2 L' U r'}}
{{Alg|r U R' F' R U R' U' R' F R2 U' r'}}

|}

|}

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

===FB-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL AM.jpg]]
|
{{Alg|F R U' R' U R U R2 F' r U R U' r'}}
{{Alg|(y) R2 U R2 B L F' U2 F L' B' U' R2}}

|}

|

===RL-flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL AS.jpg]]
|
{{Alg|(x') R2 U' R' U l' F' U' F R U R'}}
{{Alg|(y) R U' R' F' U F l U' R U R2 (x)}}
|}

|}
{|border="0" width="50%" valign="top" cellpadding="3"
|-valign="top"
|

===4-flip (adjacent)===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL A4.jpg]]
|
{{Alg|(y') M' U L2 B2 L U R' U2 L U' M R}}
{{Alg|(y2) R2 (y) M' U M (y') l U' R U2 L' U L U2 (x)}}
{{Alg|L2 (y') M' U' M (y) r' U L' U2 R U' R' U2 (x)}}
|}
|}

== Diagonal corners ==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

===Adjacent flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL DFR.jpg]]
|
{{Alg|(y) R b' R2 U' R D' R2 D R' U R2 b R'}}
{{Alg|(y2) S R2 D R' U R D' R2 d' l' U' L}}
|}
|

===Opposite flip===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL DM.jpg]]
|
{{Alg|(y) R' U L' U2 R U' (x') U L' U2 R U' L U2 M'}}
{{Alg|L' U l d R2 D R' U' R D' R2 S'}}
|}
|}

{|border="0" width="50%" valign="top" cellpadding="3"
|-valign="top"
|

===4-flip (diagonal)===
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
[[File:CPEOLL D4.jpg]]
|

{{Alg|R F' U2 R2 F' R F2 R' F R2 U2 F R'}}
{{Alg|R2 U2 M F2 U' R2 U2 F2 U R2 U2 F2 M'}}

|}
|}

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

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