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−  '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C) or [[Corner_Orientation#OCLLEPPOCLLEPP]], is a subset of OLL used in [[ZZreduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL.  +  '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZreduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL. 
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 == OLC Algorithms ==   == OLC Algorithms == 
Revision as of 16:04, 27 June 2014
Orient Last Corners (OLC), also known as Orient Last 4 Corners (OL4C), is a subset of OLL used in ZZreduction following Phasing that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited PLL set of 9 cases, down from 21 in full PLL.
Merge Suggested This page appears to already exist somewhere else, possibly as a subsection of another. It is suggested that this page be merged with OCLLEPP


OLC Algorithms
Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, DoubleSune). The other 3 commonly preserve edges (Headlights, Chameleon, TripleSune).
Odds of skipping this step are 1/27.
OLC 1
Probability 4/27

Name: S, Sune, Swimming Left
Used in: ZZreduction
Optimal moves: {{{optimal}}}

OLC 2
Probability 4/27

Name: S, Antisune, Swimming Right
Used in: ZZreduction
Optimal moves: ? HTM

OLC 3
Probability 2/27
OLC 4
Probability 4/27
OLL 23
Probability 4/27
OLL 24
Probability 4/27

Name: T, chameleon, shark, Hammerhead, Little Horse, stingray
Used in: OCLL, OLL
Optimal moves: 8 HTM

OLL 25
Probability 4/27

Name: L, Bowtie, TripleSune, Sidewinder, Diagonals, Spaceship
Used in: OCLL, OLL
Optimal moves: 8 HTM
