PLL Algorithms (Permutation of Last Layer) Developed by Feliks Zemdegs and Andy Klise
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1 PLL Algorithms (Permutation of Last Layer) Developed by Feliks Zemdegs and Andy Klise Algorithm Presentation Format Suggested algorithm here Alternative algorithms here PLL Case Name - Probability = 1/x Round brackets are used to segment algorithms to assist memorisation and group move triggers. Moves in square brackets at the end of algorithms denote a U face adjustment necessary to complete the cube from the states specified. It is recommended to learn the algorithms in the order presented. Permutations of Edges Only R2 U (R U R' U') R' U' (R' U R') y2 (R' U R' U') R' U' (R' U R U) R2' Ub - Probability = 1/18 (R U' R U) R U (R U' R' U') R2 y2 (R U R' U) (R' U' R2 U') R' U R' U R [U2] y2 (R2 U' R' U') R U R U (R U' R) Ua - Probability = 1/18 (M2' U M2' U) (M' U2) (M2' U2 M') [U2] y' M' U (M2' U M2') U (M' U2 M2) [U'] Z - Probability = 1/36 (M2' U M2') U2 (M2' U M2') H - Probability = 1/72 Permutations of Corners Only x (R' U R') D2 (R U' R') D2 R2 x' y x' R2 D2 (R' U' R) D2 (R' U R') x Aa - Probability = 1/18 x R2' D2 (R U R') D2 (R U' R) x' y x' (R U' R) D2 (R' U R) D2 R2' x Ab - Probability = 1/18 x' (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') x E - Probability = 1/36
2 Swap One Set of Adjacent Corners (R U' R' U') (R U R D) (R' U' R D') (R' U2 R') [U'] y' (L U2 L' U2) L F' (L' U' L U) L F L2' [U] (R U R' F') (R U2' R' U2') (R' F R U) (R U2' R') [U'] Ra - Probability = 1/18 (R' U2 R U2') R' F (R U R' U') R' F' R2 [U'] (R' U2 R' D') (R U' R' D) (R U R U') (R' U' R) [U'] Rb - Probability = 1/18 (R' U L' U2) (R U' R' U2 R) L [U'] y' (L' U' L F) (L' U' L U) L F' L2' U L [U] Ja - Probability = 1/18 (R U R' F') (R U R' U') R' F R2 U' R' [U'] Jb - Probability = 1/18 (R U R' U') (R' F R2 U') R' U' (R U R' F') T - Probability = 1/18 (R' U' F')(R U R' U')(R' F R2 U')(R' U' R U)(R' U R) y (R' U2 R' U') y (R' F' R2 U') (R' U R' F) R U' F F - Probability = 1/18 Swap One Set of Diagonal Corners (R' U R' U') y (R' F' R2 U') (R' U R' F) R F V - Probability = 1/18 F (R U' R' U') (R U R' F') (R U R' U') (R' F R F') Y - Probability = 1/18 (RUR'U)(RUR'F')(RUR'U')(R'FR2U') R' U2 (RU'R') z (U R' D) (R2 U' R D') (U R' D) (R2 U' R D') [R'] z' Na - Probability = 1/72 (R' U R U') (R' F' U' F) (R U R' F) R' F' (R U' R) (R' U L' U2 R U' L) (R' U L' U2 R U' L) [U] Nb - Probability = 1/72 G Permutations (Double cycles) R2 U (R' U R' U') (R U' R2) D U' (R' U R D') [U] R2 u (R' U R' U') R u' R2 y' (R' U R) Ga - Probability = 1/18 (F' U' F) (R2 u R' U) (R U' R u') R2' y' R' U' y F (R2 u R' U) (R U' R u') R2' y' D (R' U' R U) D' (R2 U R' U) (R U' R U') R2' [U'] Gb - Probability = 1/18 R2 U' (R U' R U) (R' U R2 D') (U R U' R') D [U'] y2 R2' F2 (R U2' R U2') R' F (R U R' U') R' F R2 Gc - Probability = 1/18 D' (R U R' U') D (R2 U' R U') (R' U R' U) R2 [U] (R U R') y' (R2 u' R U') (R' U R' u) R2 Gd - Probability = 1/18
3 OLL Algorithms (Orientation of Last Layer) Developed by Feliks Zemdegs and Andy Klise Algorithm Presentation Format Suggested algorithm here Alternative algorithms here OLL Case Name - Probability = 1/x Round brackets are used to segment algorithms to assist memorisation and group move triggers. It is recommended to learn the algorithms in the order presented. All Edges Oriented Correctly R U2 R' U' R U' R' y' R' U' R U' R' U2 R OCLL Probability = 1/54 (R U2 R') (U' R U R') (U' R U' R') y (R U R' U) (R U' R' U) (R U2' R') OCLL Probability = 1/108 (r U R' U') (r' F R F') y (R U R D) (R' U' R D') R2' OCLL Probability = 1/54 R U R' U R U2' R' y' R' U2' R U R' U R OCLL Probability = 1/54 R U2' R2' U' R2 U' R2' U2' R OCLL Probability = 1/54 y F' (r U R' U') r' F R x (R' U R) D' (R' U' R) D x' OCLL Probability = 1/54 R2 D (R' U2 R) D' (R' U2 R') y2 R2' D' (R U2 R') D (R U2 R) OCLL Probability = 1/54 T-Shapes (R U R' U') (R' F R F') T Probability = 1/54 F (R U R' U') F' T Probability = 1/54
4 Squares (r' U2' R U R' U r) S1-5 - Probability = 1/54 (r U2 R' U' R U' r') S2-6 - Probability = 1/54 C-Shapes (R U R2' U') (R' F R U) R U' F' C Probability = 1/54 R' U' (R' F R F') U R C Probability = 1/54 W-Shapes (R' U' R U') (R' U R U) l U' R' U x y2 (R U R' F') (R U R' U') (R' F R U') (R' F R F') W Probability = 1/54 (R U R' U) (R U' R' U') (R' F R F') W Probability = 1/54 Corners Correct, Edges Flipped (r U R' U') M (U R U' R') E Probability = 1/54 (R U R' U') M' (U R U' r') E Probability = 1/108 P-Shapes (R' U' F) (U R U' R') F' R P Probability = 1/54 y R' U' F' U F R f' (L' U' L U) f P Probability = 1/54 R U B' (U' R' U) (R B R') S (R U R' U') (R' F R f') P Probability = 1/54 f (R U R' U') f' y2 F (U R U' R') F' P Probability = 1/54
5 I-Shapes f (R U R' U') (R U R' U') f' y2 F (U R U' R') (U R U' R') F' I Probability = 1/54 (R' U' R U' R' U) y' (R' U R) B (R U R' U R U') y (R U' R') F' I Probability = 1/54 r' U' r (U' R' U R) (U' R' U R) r' U r I Probability = 1/108 y (R' F R U) (R U' R2' F') R2 U' R' (U R U R') I Probability = 1/108 Fish Shapes (R U R' U') R' F (R2 U R' U') F' (R' U' R) y r U' r' U r U r' F1-9 - Probability = 1/54 (R U2') (R2' F R F') (R U2' R') F Probability = 1/54 (R U R' U) (R' F R F') (R U2' R') (R U R') y (R' F R U') (R' F' R) F Probability = 1/54 F (R U' R' U') (R U R' F') F Probability = 1/54 Knight Move Shapes (r U' r') (U' r U r')(f' U F) F U R U' R2' F' R U (R U' R') K Probability = 1/54 (r U r') (R U R' U') (r U' r') K Probability = 1/54 (R' F R) (U R' F' R) (F U' F') K Probability = 1/54 (r' U' r) (R' U' R U) (r' U r) K Probability = 1/54 Awkward Shapes y (R U R' U') (R U' R') (F' U' F) (R U R') M U (R U R' U')(R' F R F') M' A Probability = 1/54 (R U R' U R U2' R') F (R U R' U') F' A Probability = 1/54 y' F U (R U2 R' U') (R U2 R' U') F' y' (F R' F) (R2 U' R' U') (R U R') F2 A Probability = 1/54 (R' U' R U' R' U2 R) F (R U R' U') F' y (R' F R F') (R' F R F') (R U R' U') (R U R') A Probability = 1/54
6 L-Shapes F (R U R' U') (R U R' U') F' L Probability = 1/54 r U' r2' U r2 U r2' U' r L Probability = 1/54 (r' U' R U') (R' U R U') R' U2 r y r' U2' R (U R' U' R) (U R' U r) L Probability = 1/54 F' (L' U' L U) (L' U' L U) F R' U' (R' F R F') (R' F R F') U R L Probability = 1/54 r' U r2 U' r2' U' r2 U r' y' (R U2 R' U' R U' R') F (R U R' U') F' L Probability = 1/54 (r U R' U) (R U' R' U) R U2' r' y' (r U2 R' U') (R U R' U') R U' r' L Probability = 1/54 Lightning Bolts (r U R' U R U2' r') B1-7 - Probability = 1/54 r' (R2 U R' U R U2 R') U M' B Probability = 1/54 (L F') (L' U' L U) F U' L' F (R U R' U') F' (R' U' R U' R' U2 R) B Probability = 1/54 (r' U' R U' R' U2 r) y2 l' U' L U' L' U2 l B2-8 - Probability = 1/54 M' (R' U' R U' R' U2 R) U' M y F (R U R' U') F' U F (R U R' U') F' B Probability = 1/54 (R' F) (R U R' U') F' U R B Probability = 1/54 No Edges Flipped Correctly (R U2') (R2' F R F') U2' (R' F R F') O1-1 - Probability = 1/108 f (R U R' U') f' U' F (R U R' U') F' O3-3 - Probability = 1/54 F (R U R' U') F' f (R U R' U') f' y (r U r') U2 R U2' R' U2 (r U' r') O2-2 - Probability = 1/54 f (R U R' U') f' U F (R U R' U') F' O4-4 - Probability = 1/54 y R U2' (R2' F R F') U2' M' (U R U' r') (r U R' U R U2 r') (r' U' R U' R' U2 r) O Probability = 1/54 (R U R' U) (R' F R F') U2' (R' F R F') O Probability = 1/54 M U (R U R' U') M' (R' F R F') O Probability = 1/54 M U (R U R' U') M2' (U R U' r') (r U R' U') M2' (U R U' R') U' M' O Probability = 1/216
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