Difference between revisions of "OLLCP-A"

From Speedsolving.com Wiki
m
m (→‎External links: added OLLCP from speedcubingtips.eu)
 
(110 intermediate revisions by 14 users not shown)
Line 1: Line 1:
'''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.
+
'''OLLCP-A''', ''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]].  
  
CPEOLL is a sub group of CEOLL (CLL + EO), the same as OCPLL (OLL + CP), a very advanced method with more than 300 cases that solves all last layer but EPLL in one look.
+
{{Substep Infobox
 +
|name=OLLCP-A
 +
|image=OLLCP.png
 +
|proposers=Various
 +
|year=
 +
|anames=[[OELLCP]], [[CPEOLL]], [[KALL]]
 +
|variants=
 +
|subgroup=
 +
|algs=15
 +
|moves=~11
 +
|purpose=<sup></sup>
 +
* [[Speedsolving]]
 +
|previous=[[F2L cube state]]
 +
|next=[[LL:EO+CO+CP cube state]]
 +
}}
  
=CPEOLL cases=
+
'''Orientation of Last Layer and Corner Permutation'''
There are 16 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 11 left (3 are mirror cases) and of those 4 may be solved using [[J-PLL]] + M setup and two can be solved using [[Y-PLL]] or [[V-PLL]] with a M move setup.
+
'''OLLCP-A''' is an [[experimental method|experimental]] [[LL]] method which both [[EOLL|orients the last layer edges]] and [[CPLL|permutes the last layer corners]] when the corners are already oriented. Thus after this step only [[EPLL]] remains. It would normally be used as an add on to the [[CFOP]] / [[Fridrich method]] when a [[CO]] skip occurs (1/27 solves) but it may also be used as the second step in a 3-look last layer where the first step is [[OCLL]] (orientation of corners).
 +
 
 +
OLLCP-A is a subset of [[OLLCP]] (OLL + CP, AKA OCPLL) which is the same as CLLEO (CLL + EO, AKA CEOLL). [[OLLCP]] is an advanced [[LL]] method with 331 cases and solves all of the last layer except [[EPLL]] in one look.
 +
 
 +
==See also==
 +
* [[OLLCP]]. Advanced LL method which both orients the last layer and solves the corners
 +
* [[CFOP]]. Method which solves the last layer using [[OLL]] and [[PLL]]
 +
* [[CFCE]]. Method which solves the last layer using [[CLL]] and [[ELL]]
 +
* [[EPLL]]. Edge Permutation of the Last Layer which follows OLLCP
 +
 
 +
== External links ==
 +
* [https://docs.google.com/spreadsheet/ccc?key=0Aq2MYrmu606CdFFuallJVFRDQm9FUm44ekoxbDRwQVE#gid=0 Robert Yau's OLLCP]
 +
* [https://sites.google.com/site/piauscubingsite/3x3x3/ollcp/others Antoine Piau's OLLCP]
 +
* [http://sarah.cubing.net/3x3x3/oellcp Sarah Strong's OELLCP]
 +
* AlgDB.Net: [http://algdb.net/Set/OLLCP%2028 OLLCP 28] [http://algdb.net/Set/OLLCP%2057 OLLCP 57] [http://algdb.net/Set/OLLCP%2020 OLLCP 20]
 +
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=23005 Thread discussing this method]
 +
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?21210-KCLL Some algorithms]
 +
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=53675 Hierarchy of Last Layer Sub-Steps, Subsets of OLLCP and ZBLL]
 +
* [https://www.speedcubingtips.eu/ollcp-orentation-of-last-layer-and-corner-permutation/ speedcubingtips.eu OLLCP algs]
 +
 
 +
=OLLCP-A 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 ==
 
== Corners permuted ==
Line 18: Line 53:
  
 
{{Alg|M U M' U2 M U M'}}
 
{{Alg|M U M' U2 M U M'}}
 +
{{Alg|(y2) M' U M U2 M' U M}}
 +
{{Alg|Rw U R'  U' M U R U' R'}}
 
<center>Use [[ELL]] to solve in one look.</center>
 
<center>Use [[ELL]] to solve in one look.</center>
  
Line 24: Line 61:
 
|
 
|
  
===Diagonal flip===
+
===Opposite flip===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
|-valign="top"
 
|-valign="top"
Line 31: Line 68:
 
|
 
|
  
{{Alg|!}}
+
{{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>
 
<center>Use [[ELL]] to solve in one look.</center>
  
Line 40: Line 78:
 
|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
===4-flip===
 
===4-flip===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
Line 47: Line 86:
 
|
 
|
  
{{Alg|!}}
+
{{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)}}
 +
{{Alg|S' R U R' S U' M' U R U' r'}}
 
<center>Use [[ELL]] to solve in one look.</center>
 
<center>Use [[ELL]] to solve in one look.</center>
  
Line 64: Line 105:
 
|
 
|
  
{{Alg|!}}
+
{{Alg|R L U2 R' U' R U2 L' U R' (U')}}
 
<center>Use [[PLL]] to solve in one look.</center>
 
<center>Use [[PLL]] to solve in one look.</center>
  
Line 78: Line 119:
 
|
 
|
  
{{Alg|!}}
+
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L (U)}}
 
<center>Use [[PLL]] to solve in one look.</center>
 
<center>Use [[PLL]] to solve in one look.</center>
  
Line 95: Line 136:
 
[[File:CPEOLL AFR.jpg]]
 
[[File:CPEOLL AFR.jpg]]
 
|
 
|
 
+
{{Alg|(y) R' F R' F2 L F' L' F2 R2}}
{{Alg|!}}
+
{{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'}}
 
|}
 
|}
  
Line 108: Line 149:
 
[[File:CPEOLL ARB.jpg]]
 
[[File:CPEOLL ARB.jpg]]
 
|
 
|
 
+
{{Alg|(y) L F' L F2 R' F R F2 L2}}
{{Alg|!}}
+
{{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}}
 +
{{Alg|M R U R’ F’ R U R’ U’ R’ F R2 U’ R’ U’ M’}}
 
|}
 
|}
  
Line 125: Line 167:
 
[[File:CPEOLL ABL.jpg]]
 
[[File:CPEOLL ABL.jpg]]
 
|
 
|
 
+
{{Alg|(x') L2 U2 R U R' U2 L U' r}}
{{Alg|!}}
+
{{Alg|(y2 x) R2 U2 L U L' U2 R U' l}}
 
+
{{Alg|(y2) R2 F2 r U L’ U2 R’ U’ l}}
 
|}
 
|}
  
Line 139: Line 181:
 
|
 
|
  
{{Alg|!}}
+
{{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'}}
  
 
|}
 
|}
Line 148: Line 191:
 
|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
===FB-flip===
 
===FB-flip===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
Line 154: Line 198:
 
[[File:CPEOLL AM.jpg]]
 
[[File:CPEOLL AM.jpg]]
 
|
 
|
 
+
{{Alg|F R U' R' U R U R2 F' r U R U' r'}}
{{Alg|!}}
+
{{Alg|r U r' F' R U R' U' R' F R r U' r'}}
 +
{{Alg|R U R' F' U' F R2 U' L' U R' U' M' (x')}}
 +
{{Alg|(y) R U R2 U' R' F R F' U F R2 U R' U' F'}}
 +
{{Alg|(y') R' U2 R U2 R' U R U R' F' U' F U' R}}
 +
{{Alg|L U F' U F U L' U L F' U L F L2}}
 +
{{Alg|(y) R U2 r U R' U' r' U F R F' U R'}}
 +
{{Alg|(y) R2 U R2 B L F' U2 F L' B' U' R2}}
  
 
|}
 
|}
Line 167: Line 217:
 
[[File:CPEOLL AS.jpg]]
 
[[File:CPEOLL AS.jpg]]
 
|
 
|
 
+
{{Alg|(x') R2 U' R' U l' F' U' F R U R'}}
{{Alg|!}}
+
{{Alg|(y) R U' R' F' U F l U' R U R2 (x)}}
 
+
{{Alg| (y) R U' R' F' U F R U' R2 F R F’}}
 
|}
 
|}
  
Line 176: Line 226:
 
|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
===4-flip (adjacent)===
 
===4-flip (adjacent)===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
Line 182: Line 233:
 
[[File:CPEOLL A4.jpg]]
 
[[File:CPEOLL A4.jpg]]
 
|
 
|
 
+
{{Alg|F R' F R2 U R' U' F2 U' r U' r' F}}
{{Alg|!}}
+
{{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)}}
 
|}
 
|}
 
|}
 
|}
Line 190: Line 242:
 
== Diagonal corners ==
 
== Diagonal corners ==
  
{|border="0" width="50%" valign="top" cellpadding="3"
+
{|border="0" width="100%" valign="top" cellpadding="3"
 
|-valign="top"
 
|-valign="top"
 
|
 
|
  
===FR-flip===
+
===Adjacent flip===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
|-valign="top"
 
|-valign="top"
Line 200: Line 252:
 
[[File:CPEOLL DFR.jpg]]
 
[[File:CPEOLL DFR.jpg]]
 
|
 
|
 
+
{{Alg|(y) R b' R2 U' R D' R2 D R' U R2 b R'}}
{{Alg|!}}
+
{{Alg|(y2) S R2 D R' U R D' R2 d' l' U' L}}
 
+
{{Alg| (y) M’ F R U’ R’ U’ R U R’ F’ R U R’ U’ R’ F R F’}}
 
|}
 
|}
 
 
|
 
|
|}
 
  
{|border="0" width="100%" valign="top" cellpadding="3"
+
===Opposite flip===
|-valign="top"
 
|
 
===FB-flip===
 
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
|-valign="top"
 
|-valign="top"
Line 217: Line 264:
 
[[File:CPEOLL DM.jpg]]
 
[[File:CPEOLL DM.jpg]]
 
|
 
|
 
+
{{Alg|(y) R' U L' U2 R U' (x') U L' U2 R U' L U2 M'}}
{{Alg|!}}
+
{{Alg|L' U l d R2 D R' U' R D' R2 S'}}
 
+
{{Alg|(y) R' F' U2 F U' R U R2 F R F' U2 R}}
 +
{{Alg|R U' R2' F R F' R d' R U2 R' F'}}
 +
{{Alg|(y) (x') D' L' U' L D (x) r2' D' r U r' D r2}}
 
|}
 
|}
 
|
 
 
===RL-flip===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
|-valign="top"
 
|
 
[[File:CPEOLL DS.jpg]]
 
|
 
 
{{Alg|!}}
 
 
 
|}
 
|}
  
|}
 
 
{|border="0" width="50%" valign="top" cellpadding="3"
 
{|border="0" width="50%" valign="top" cellpadding="3"
 
|-valign="top"
 
|-valign="top"
 
|
 
|
 +
 
===4-flip (diagonal)===
 
===4-flip (diagonal)===
 
{|border="0" width="100%" valign="top" cellpadding="3"
 
{|border="0" width="100%" valign="top" cellpadding="3"
Line 246: Line 283:
 
|
 
|
  
{{Alg|!}}
+
{{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'}}
 +
{{Alg|x (U R' D' R2 U2' D B2) (U' R' D' R U' R' U' R2 D) x'}}
 +
{{Alg|R' U2 R' F2 R U R U' R' U R' F' R U' F2 U2 R}}
 +
{{Alg|R' U2 F2 U R' F R U' R U R' U' R' F2 R U2 R}}
 +
{{Alg|x' U R' F2 U2 R' U R2 U' R U2 F2 R U' x}}
  
 
|}
 
|}
 
|}
 
|}
  
[[Category:Methods]]
+
 
[[Category:Experimental Methods]]
+
[[Category:Experimental methods]]
[[Category:3x3x3 Methods]]
+
[[Category:3x3x3 methods]]
[[Category:Cubing Terminology]]
+
 
  
 
__NOTOC__
 
__NOTOC__

Latest revision as of 05:47, 21 June 2019

OLLCP-A, corner permutation and edges orientation of the last layer, an experimental method for the 3x3x3 cube that permutes the last layer corners and orients the last layer edges preserving F2L.

OLLCP-A
OLLCP.png
Information
Proposer(s): Various
Proposed:
Alt Names: OELLCP, CPEOLL, KALL
Variants:
Subgroup:
No. Algs: 15
Avg Moves: ~11
Purpose(s):


Orientation of Last Layer and Corner Permutation OLLCP-A is an experimental LL method which both orients the last layer edges and permutes the last layer corners when the corners are already oriented. Thus after this step only EPLL remains. It would normally be used as an add on to the CFOP / Fridrich method when a CO skip occurs (1/27 solves) but it may also be used as the second step in a 3-look last layer where the first step is OCLL (orientation of corners).

OLLCP-A is a subset of OLLCP (OLL + CP, AKA OCPLL) which is the same as CLLEO (CLL + EO, AKA CEOLL). OLLCP is an advanced LL method with 331 cases and solves all of the last layer except EPLL in one look.

See also

  • OLLCP. Advanced LL method which both orients the last layer and solves the corners
  • CFOP. Method which solves the last layer using OLL and PLL
  • CFCE. Method which solves the last layer using CLL and ELL
  • EPLL. Edge Permutation of the Last Layer which follows OLLCP

External links

OLLCP-A 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

Adjacent flip

CPEOLL PA.jpg

Speedsolving Logo tiny.gif Alg M U M' U2 M U M'
Speedsolving Logo tiny.gif Alg (y2) M' U M U2 M' U M
Speedsolving Logo tiny.gif Alg Rw U R' U' M U R U' R'
Use ELL to solve in one look.

Opposite flip

CPEOLL PO.jpg

Speedsolving Logo tiny.gif Alg (x') M' U' R U M U' R' U (x)
Speedsolving Logo tiny.gif Alg (R U R' U') M' (U R U' r')
Use ELL to solve in one look.

4-flip

CPEOLL P4.jpg

Speedsolving Logo tiny.gif Alg M' U2 M U2 M' U M U2 M' U2 M (U')
Speedsolving Logo tiny.gif Alg r U R' U' M2 U R U' R' U' M' (U)
Speedsolving Logo tiny.gif Alg S' R U R' S U' M' U R U' r'
Use ELL to solve in one look.

Edges oriented

Adjacent PLL

CPEOLL AO.jpg

Speedsolving Logo tiny.gif Alg R L U2 R' U' R U2 L' U R' (U')
Use PLL to solve in one look.

Diagonal PLL

CPEOLL DO.jpg

Speedsolving Logo tiny.gif Alg R' U L' U2 R U' L R' U L' U2 R U' L (U)
Use PLL to solve in one look.

Adjacent corners

FR-flip

CPEOLL AFR.jpg

Speedsolving Logo tiny.gif Alg (y) R' F R' F2 L F' L' F2 R2
Speedsolving Logo tiny.gif Alg (y' x') (L' U L') U2 (R U' R') U2' L2 (x)
Speedsolving Logo tiny.gif Alg r U R' U' r' F R2 U' R' U' R U R' F'

RB-flip

CPEOLL ARB.jpg

Speedsolving Logo tiny.gif Alg (y) L F' L F2 R' F R F2 L2
Speedsolving Logo tiny.gif Alg (y' x') (R U' R) U2' (L' U L) U2 R2 (x)
Speedsolving Logo tiny.gif Alg (y2) l' U' L U l F' L2 U L U L' U' L F
Speedsolving Logo tiny.gif Alg M R U R’ F’ R U R’ U’ R’ F R2 U’ R’ U’ M’

BL-flip

CPEOLL ABL.jpg

Speedsolving Logo tiny.gif Alg (x') L2 U2 R U R' U2 L U' r
Speedsolving Logo tiny.gif Alg (y2 x) R2 U2 L U L' U2 R U' l
Speedsolving Logo tiny.gif Alg (y2) R2 F2 r U L’ U2 R’ U’ l

LF-flip

CPEOLL ALF.jpg

Speedsolving Logo tiny.gif Alg (x) L2 U2 R' U' R U2 L' U r'
Speedsolving Logo tiny.gif Alg r U R' F' R U R' U' R' F R2 U' r'


FB-flip

CPEOLL AM.jpg

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


RL-flip

CPEOLL AS.jpg

Speedsolving Logo tiny.gif Alg (x') R2 U' R' U l' F' U' F R U R'
Speedsolving Logo tiny.gif Alg (y) R U' R' F' U F l U' R U R2 (x)
Speedsolving Logo tiny.gif Alg (y) R U' R' F' U F R U' R2 F R F’

4-flip (adjacent)

CPEOLL A4.jpg

Speedsolving Logo tiny.gif Alg F R' F R2 U R' U' F2 U' r U' r' F
Speedsolving Logo tiny.gif Alg (y') M' U L2 B2 L U R' U2 L U' M R
Speedsolving Logo tiny.gif Alg (y2) R2 (y) M' U M (y') l U' R U2 L' U L U2 (x)
Speedsolving Logo tiny.gif Alg L2 (y') M' U' M (y) r' U L' U2 R U' R' U2 (x)

Diagonal corners

Adjacent flip

CPEOLL DFR.jpg

Speedsolving Logo tiny.gif Alg (y) R b' R2 U' R D' R2 D R' U R2 b R'
Speedsolving Logo tiny.gif Alg (y2) S R2 D R' U R D' R2 d' l' U' L
Speedsolving Logo tiny.gif Alg (y) M’ F R U’ R’ U’ R U R’ F’ R U R’ U’ R’ F R F’

Opposite flip

CPEOLL DM.jpg

Speedsolving Logo tiny.gif Alg (y) R' U L' U2 R U' (x') U L' U2 R U' L U2 M'
Speedsolving Logo tiny.gif Alg L' U l d R2 D R' U' R D' R2 S'
Speedsolving Logo tiny.gif Alg (y) R' F' U2 F U' R U R2 F R F' U2 R
Speedsolving Logo tiny.gif Alg R U' R2' F R F' R d' R U2 R' F'
Speedsolving Logo tiny.gif Alg (y) (x') D' L' U' L D (x) r2' D' r U r' D r2

4-flip (diagonal)

CPEOLL D4.jpg

Speedsolving Logo tiny.gif Alg R F' U2 R2 F' R F2 R' F R2 U2 F R'
Speedsolving Logo tiny.gif Alg R2 U2 M F2 U' R2 U2 F2 U R2 U2 F2 M'
Speedsolving Logo tiny.gif Alg x (U R' D' R2 U2' D B2) (U' R' D' R U' R' U' R2 D) x'
Speedsolving Logo tiny.gif Alg R' U2 R' F2 R U R U' R' U R' F' R U' F2 U2 R
Speedsolving Logo tiny.gif Alg R' U2 F2 U R' F R U' R U R' U' R' F2 R U2 R
Speedsolving Logo tiny.gif Alg x' U R' F2 U2 R' U R2 U' R U2 F2 R U' x