Difference between revisions of "OLLCP-A"
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− | ''' | + | '''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 | + | {{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]] | ||
+ | }} | ||
− | + | '''Orientation of Last Layer and Corner Permutation''' | |
− | + | '''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. | 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. | ||
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{{Alg|M U M' U2 M U M'}} | {{Alg|M U M' U2 M U M'}} | ||
+ | {{Alg|(y2) M' U M U2 M' U M}} | ||
+ | {{Alg|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 38: | Line 69: | ||
{{Alg|(x') M' U' R U M U' R' U (x)}} | {{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 54: | Line 86: | ||
| | | | ||
− | {{Alg|M' U2 M U2 M' U M U2 M' U2 M U'}} | + | {{Alg|M' U2 M U2 M' U M U2 M' U2 M (U')}} |
+ | {{Alg|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> | ||
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| | | | ||
− | {{Alg|R L U2 R' U' R U2 L' U R' U'}} | + | {{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 85: | Line 119: | ||
| | | | ||
− | {{Alg|R' U L' U2 R U' L | + | {{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> | ||
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[[File:CPEOLL AFR.jpg]] | [[File:CPEOLL AFR.jpg]] | ||
| | | | ||
− | + | {{Alg|(y) R' F R' F2 L F' L' F2 R2}} | |
{{Alg|(y' x') (L' U L') U2 (R U' R') U2' L2 (x)}} | {{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'}} | |
|} | |} | ||
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[[File:CPEOLL ARB.jpg]] | [[File:CPEOLL ARB.jpg]] | ||
| | | | ||
− | + | {{Alg|(y) L F' L F2 R' F R F2 L2}} | |
{{Alg|(y' x') (R U' R) U2' (L' U L) U2 R2 (x)}} | {{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’}} | ||
|} | |} | ||
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[[File:CPEOLL ABL.jpg]] | [[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 U}} | + | {{Alg|(y2 x) R2 U2 L U L' U2 R U' l}} |
− | + | {{Alg|(y2) R2 F2 r U L’ U2 R’ U’ l}} | |
|} | |} | ||
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{{Alg|(x) L2 U2 R' U' R U2 L' U r'}} | {{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'}} | ||
|} | |} | ||
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|-valign="top" | |-valign="top" | ||
| | | | ||
+ | |||
===FB-flip=== | ===FB-flip=== | ||
{|border="0" width="100%" valign="top" cellpadding="3" | {|border="0" width="100%" valign="top" cellpadding="3" | ||
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[[File:CPEOLL AM.jpg]] | [[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 | + | {{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}} | ||
|} | |} | ||
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[[File:CPEOLL AS.jpg]] | [[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) U}} | + | {{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’}} | |
|} | |} | ||
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[[File:CPEOLL A4.jpg]] | [[File:CPEOLL A4.jpg]] | ||
| | | | ||
− | + | {{Alg|F R' F R2 U R' U' F2 U' r U' r' F}} | |
+ | {{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|(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)}} | {{Alg|L2 (y') M' U' M (y) r' U L' U2 R U' R' U2 (x)}} | ||
− | |||
|} | |} | ||
|} | |} | ||
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[[File:CPEOLL DFR.jpg]] | [[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}} | {{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’}} | |
|} | |} | ||
| | | | ||
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[[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|L' U l d R2 D R' U' R D' R2 S'}} | {{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}} | ||
|} | |} | ||
|} | |} | ||
Line 240: | Line 285: | ||
{{Alg|R F' U2 R2 F' R F2 R' F R2 U2 F R'}} | {{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|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:Experimental | + | [[Category:Experimental methods]] |
− | [[Category:3x3x3 | + | [[Category:3x3x3 methods]] |
− | + | ||
__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.
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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
- Robert Yau's OLLCP
- Antoine Piau's OLLCP
- Sarah Strong's OELLCP
- AlgDB.Net: OLLCP 28 OLLCP 57 OLLCP 20
- Speedsolving.com: Thread discussing this method
- Speedsolving.com: Some algorithms
- Speedsolving.com: Hierarchy of Last Layer Sub-Steps, Subsets of OLLCP and ZBLL
- 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
Adjacent flip
|
Opposite flip
|
4-flip
|
Edges oriented
Adjacent PLL
|
Diagonal PLL
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Adjacent corners
BL-flip
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LF-flip
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FB-flip
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RL-flip
|
4-flip (adjacent)
|
Diagonal corners
Adjacent flip
|
Opposite flip
|
4-flip (diagonal)
|