# Difference between revisions of "EPLL"

Edges permutation of the last layer, abbrevaited EPLL, is the sub group of PLL where only the edges are permuted. EPLL is also used in many other methods, sometimes as a stand alone substep, like in COLL but also as a sub group, for example in ELL or ZBLL. This page is a DNF (incomplete). Please help by expanding it. There may be suggestions on its talk page.

## EPLL algorithms

 Note that all of these algorithms are written in the Western notation, where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z. (how to add algorithms) Click on an algorithm (not the camera icon) to watch an animation of it.

### H Permutation

 Name: H-PLL, X-PLL Used in: EPLL, CPLL, PLL, ELL, ZBLL, ZZLL Optimal moves: 10 HTM, 7 STM X-PLL is H-PLL + U2. PLL M2' U M2' U2 M2' U M2'  PLL M2' U' M2' U2' M2' U' M2'  PLL R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2'  PLL M2' U2 M2' U' M2' U2 M2' U PLL M2' U2 M2' U M2' U2 M2' U' PLL R2 U2 R U2 R2 U2 R2 U2 R U2 R2 PLL R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 PLL R U2' R' U' R' U' R2 U' R2' U2' R2 U2' R' (U) PLL L2 U2 L' U2 L2 U2 L2 U2 L' U2 L2 PLL L R U2 L' R' F' B' U2 F B PLL L R U2 L' R' (y) L' R' U2 L R PLL S R U2 R2 U2 R2 U2 R S' PLL F2 M2' F2 U' F2 M2' F2 PLL (x) U2 M2' U2 B' U2 M2' U2 (x') PLL L R U2 L' l' U' u' L2 U (z) L PLL M2' u M2' u2 M2' u M2' PLL M2' u' M2' u2' M2' u' M2'

### U Permutation : a

 Name: U-PLL a Used in: EPLL, PLL, ELL, ZBLL, BLD Optimal moves: 9 HTM, 7 STM PLL R2 U' R' U' R U R U R U' R PLL (y2) R U' R U R U R U' R' U' R2  PLL R U R' U R' U' R2 U' R' U R' U R PLL M2 U M' U2 M U M2 PLL (y2) M2 U M U2 M' U M2 PLL (y') M2 u' M u2 M u' M2 PLL (y) M2 u' M' u2 M' u' M2 PLL (y2) F2 U' (L R') F2 (L' R) U' F2 PLL (y2) F2 U' M' U2 M U' F2 PLL R U R' U' L' U' L U2 R U' R' U' L' U L PLL r U R' U R' U' R2 U' r' U R' U R PLL R2 U' S' U2' S U' R2

### U Permutation : b

 Name: U-PLL b Used in: EPLL, PLL, ELL, ZBLL, BLD Optimal moves: 9 HTM, 7 STM PLL R' U R' U' R' U' R' U R U R2 PLL (y2) R2 U R U R' U' R' U' R' U R' PLL M2 U' M' U2 M U' M2 PLL (y2) M2 U' M U2 M' U' M2 PLL (y2) L' U L' U' L' U' L' U L U L2 PLL (y') M2 u M' u2 M' u M2 PLL R U' R U R U R' U' R' U' R' U2 R' PLL (y2) R' U' R U' R U R2 U R U' R U' R' PLL (y2) (L' U' L U) (R U R') U2 (L' U L) (U R U' R') PLL (z) U2' R U R U' R' U' R' U' R U' (z') PLL (y2 z) U' R U' R' U' R' U' R U R U2' (z') PLL (y2) F2 U M' U2 M U F2 PLL (y') r2 u M' u2 M' u r2 PLL (y2) (L' U' L U' L' U2 L) U' (R U R' U R U2' R')

### Z Permutation

 Name: Z-PLL Used in: EPLL, PLL, ELL, ZBLL, ZZLL Optimal moves: 12 HTM, 7 STM PLL M2 U M2 U M U2 M2 U2 M U2 PLL (y) M2 U' M2 U' M U2' M2 U2' M U2' PLL M2 U' M (U2 M2 U2) M U M2 PLL (y) M2 U M (U2' M2 U2') M U' M2 PLL R' U' R2 U (R U R' U') (R U R U') R U' R' U2  PLL R U R' U R' U' R' U R U' R' U' R2 U R U2  PLL (y) (M2' U')2 M' (U2' M2' U2') M' PLL M2' U2 M' U' M2' U' M2' U' M' PLL (y) M2' U2 M' U M2' U M2' U M' PLL M' U' M2' U' M2' U' M' U2 M2' PLL (y) M' U M2' U M2' U M' U2 M2' PLL M' U2 M2 U2 M' U' M2 U' M2 PLL M2' U M2' U' E2 M' E2 M' PLL (y) M2' U' M2' U E2 M' E2 M' PLL M2' U M' E2 M' E2 U' M2' PLL M2' U M2' U M2 B2 M2 B2 PLL (M2' U)2 M' (U2 M2' U2) M' U2 PLL U R' U' R U' R U R U' R' U R U R2 U' R' U PLL (y) R U R2 U' R' U' R U R' U' R' U R' U R PLL (x') R U' R' (U D) R' (D U') R' U R D2' (x) PLL M2' u M2' D' M S2 M' PLL (y) R2 U R2 U' R2 F2 R2 U' F2 U R2 F2 PLL R2 U' R2 U R2 (x') U2 R2 F U2 F' R2 U2 (x) PLL (y') l' U R U' D' R U D' R U' R' D2 (x') PLL R' U' R' F R F' U R F' U' L' U L F PLL R' U' R' F R F' U R U' R' U' F' U F R PLL R U R2 U' R' F R U R U' R U' R' U' R U R' F'