OLC

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Orient Last Corners (OLC), also known as Orient Last 4 Corners (OL4C), is a subset of OLL used in ZZ-reduction 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

Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).

Odds of skipping this step are 1/27.

OLC 1

Probability 4/27

 Name: S, Sune, Swimming Left Used in: ZZ-reduction Optimal moves: {{{optimal}}} OLL R U' L' U R' U' L OLL y2 R' U L U' R U L' OLL U R U' L' U R' U' L

OLC 2

Probability 4/27

 Name: -S, Antisune, Swimming Right Used in: ZZ-reduction Optimal moves: ? HTM OLL L' U R U' L U R'

OLC 3

Probability 2/27

 Name: H, Double Sune, Flip, Cross Used in: ZZ-reduction Optimal moves: ? HTM, ? STM OLL y F (R U R' U')3 F'

OLC 4

Probability 4/27

 Name: pi, Bruno, wheel, T-shirt Used in: ZZ-reduction Optimal moves: ? HTM Alg f (R U R' U') F f' (R U R' U') F' OLL y U L' U2 L2 U L2 U L2 U2 L' U2

OLL 23

Probability 4/27

 Name: U, Headlights, Superman Used in: OCLL, OLL Optimal moves: 9 HTM OLL R2' D' R U2 R' D R U2 R OLL y' F L' D2 L U2 L' D2 L U2 F' OLL y' B L2 B R2 B F2 R2 B L2 F2 OLL y' B' F2 R2 B L2 B' R2 B L2 F2 OLL L2 D L' U2 L D' L' U2 L' OLL (y2) R' F2 R U2 R U2 R' F2 R U2 R' OLL (y2) R2 D R' U2 R D' R' U2 R' OLL R2 D R' U2' R D' R' U2 R' OLL F R U' R' U R U R' U R U' R' F' OLL (R' U' R U') R' U2 R2 U (R' U R U2 R') OLL l2 U' R D2 R' U R D2 R OLL l2' U' z' U R2 U' L U R2 U z' OLL y2 R2' B2 R F2' R' B2 R F2' R OLL (x) R' B2' (R U' R' U) B2' (U' R U) OLL y' F' L2 F' R2 B2 F' R2 F' L2 B2

OLL 24

Probability 4/27

 Name: T, chameleon, shark, Hammerhead, Little Horse, stingray Used in: OCLL, OLL Optimal moves: 8 HTM OLL r U R' U' L' U R U' x' OLL r U R' U' r' F R F' OLL (y' x') R U R' D R U' R' D' OLL (y') F R U R' U' R U' R' U' R U R' F' OLL (y x) D' R' U R D R' U' R x' OLL (y x) D L U' L' D' L U L' x' OLL (y x') U' R' D R U R' D' R x OLL (y2) R' F' L F R F' L' F OLL (y2) R' F' r U R U' r' F OLL (y2) l' U' L U R U' r' F OLL (y') l U l' F R B' R' F'

OLL 25

Probability 4/27

 Name: L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship Used in: OCLL, OLL Optimal moves: 8 HTM OLL y' F' r U R' U' r' F R OLL R U2 R' U' (R U R' U') (R U R' U') R U' R' OLL R U R' U (R U' R' U) (R U' R' U) R U2 R' OLL y2 R' F R B' R' F' R B OLL y2 F R' F' L F R F' L' OLL y F' L F R' F' L' F R OLL y' F' r U R' U' r' F R OLL y' x U R' U' L U R U' r' OLL R' F' L' F R F' L F OLL y2 R U2' R D R' U2 R D' R2' OLL y2 F R' F' r U R U' r' OLL y2 l' U R D' R' U' R D x' OLL y2 x' L' U' R' U L U' R U OLL x' D R U R' D' R U' l' OLL x' U L' U' R U L U' l' OLL x' R' D R U' R' D' R U x OLL x R' U R D' R' U' R D x' OLL y2 x L U' L' D L U L' D' x' OLL l' U' L' U R U' L U x' OLL U r U R U' L' U R' U' x' OLL R U2 R' U' (R U R' U')2 R U' R' OLL y2 L' R U R' U' L U R U' R' OLL F R B R' F' l U' l' OLL U R U2 R' L' U' L U' R U' R' L' U2 L OLL y R U R' U' R' F R U R U' R' F'