PLL

Revision as of 08:47, 9 November 2008 by Vault312 (talk | contribs) (N Permutation : a)

PLL is the Permutation of the Last Layer, the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented (OLL) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common algorithms for each one. The diagrams below are top views of where you want the pieces to go. For example, the T Permutation (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of ZBLL.

PLL (edit)
Permutations of corners only
Permutations of edges only
Permutations of corners and edges

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.

Permutations of Edges Only

This subgroup, EPLL is used as the last step for many speedsolving methods, for example in the VH method (COLL).

H Permutation

H.gif

  • M2 U' M2 U2' M2 U' M2
  • R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
  • U' M2 U2 M2 U M2 U2 M2]
  • F2 M2 F2 U' F2 M2 F2 U
  • x U2 M2 U2 B' U2 M2 U2 B
  • R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
  • L R U2 L' R' F' B' U2 F B
  • L R U2 x U' D' x' y U2 L R
  • R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
  • R2 U2 R U2 R2 U2 R2 U2 R U2 R2

U Permutation : a

U1.gif

  • y2 M2 U M U2 M' U M2
  • M2 U M' U2 M U M2
  • R2 U' R' U' R U R U R U' R
  • B2 U' M' U2 M U' B2
  • y2 R U' R U R U R U' R' U' R2
  • M2 U M' U2 M U2 M' U2 M U M2
  • y R2 U' y r U2 r' R U2 R' y' U' R2

U Permutation : b

U.gif

  • y2 M2 U' M U2 M' U' M2
  • M2 U' M' U2 M U' M2
  • R' U R' U' R' U' R' U R U R2
  • B2 U M' U2 M U B2
  • y2 R2 U R U R' U' R' U' R' U R'
  • R U' R U R U R' U' R' U' R' U2 R'
  • M2 U' M' U2 M U2 M' U2 M U' M2

Z Permutation

Z.gif

  • x' R U' R' U D R' D U' R' U R D2' F x
  • x M2 U M2 U M' U2 M2 U2 M' U2
  • y M2' U' M' U2' M2' U2' M' U M2'
  • U R' U' R U' R U R U' R' U R U R2 U' R' U
  • R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
  • M' U M2 U M2 U M' U2 M2 U'
  • y' M2 U2 M' U' M2 U' M2 U' M' U
  • R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
  • R' U L' E2 L U' R L' U R' E2 R U' L'
  • y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
  • M' U M2 U M2 U M' U2 M2 U'
  • U' l' U R U' D' R U D' R U' R' D2
  • d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
  • M2 U' M E2 M E2 U M2
  • F2 M2 F2 M2 U M2 U M2 U2

Permutations of Corners Only

A Permutation : a

A1.gif

  • x R' U R' D2 R U' R' D2 R2
  • (L' B L') (F2 L B' L') (F2 L2)
  • y2 z F2 R U2 R' U2 F2 L' U2 L U2
  • y z' U2 R U2 R' F2 U2 L' U2 L F2
  • R' U2 R2 U' L' U R' U' L U R' U2 R
  • (U R' D r2 U') (R U r2' U') (D')

A Permutation : b

A.gif

  • y' x R2 D2 R U R' D2 R U' R
  • (R B' R) F2 (R' B R) (F2 R2)
  • y z U2 L' U2 L F2 U2 R U2 R' F2
  • z' F2 L' U2 L U2 F2 R U2 R' U2
  • y' R' U2 R U' L' U R U' L U R2 U2 R
  • (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

E Permutation

E.gif

  • y x' R U' R' D R U R' D2 L' U L D L' U' L
  • x U R' U' L U R U' r2' U' R U L U' R' U
  • y x R U' R' D R U R' u2 R' U R D R' U' R
  • l' U' L' U R U' l U R' U' L U R U' l' U
  • (r' R' U') (L D' L' U L) (R U' R' D R) U
  • r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
  • x' U' R U L' U' R' U Rw2 U R' U' Rw' F R F'
  • y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
  • R' U L' D2 L U' R' L' U R' D2 R U' L

Permutations of Edges and Corners

F Permutation

F.gif

  • R U' R' U R2 y R U R' U' x U' R' U R U2
  • yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
  • R' U R U' R2 F' U' F U x R U R' U' R2 B'
  • R' U R U' R2' F' U' F U R U' x' R2 U' R' U
  • y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
  • R' U2 R' d' R' F' R2 U' R' U R' F R U' F
  • y U' R' U R U' R'2 F' U' F U R x U R' U' R2

G Permutation : a

G3.gif

  • R2' u R' U R' U' R u' R2 y' R' U R
  • y R2 D B' U B' U' B D' R2 F' U F
  • R L U2 R' L' (y') R' U L' U2 R U' L

G Permutation : b

G2.gif

  • y L' U' L y' R2' u R' U R U' R u' R2
  • R' U' R B2 D L' U L U' L D' B2
  • (y') R' U L' U2 R U' (y) R L U2 L' R'

G Permutation : c

G1.gif

  • y R2' u' R U' R U R' u R2 B U' B'
  • R U R' F2 D' L U' L' U L' D F2
  • L' R' U2 L R (y) L U' R U2 L' U R'

G Permutation : d

G.gif

  • y L U' R U2 L' U R' y (R' L') U2 (R L)
  • y' (R' F' R F') (U' L' U) (F R' F' L F2 R)
  • F2 D' L U' L U L' D F2 R U' R'
  • (l' U' U' L' U l F') (U' L U F R' F R)
  • (y) L U' R U2 L' U R' (y') L' R' U2 L R

J Permutation : a

J1.gif

  • y2 R' U2 R U R' z' R2' U R' D R U'
  • y2 L' R' U2 R U R' U2 L U' R U
  • y2 F2 L' U' r U2 l' U R' U' R2
  • y2 R' U2 R U R' U2' L U' R U L'
  • R U' L' U R' U2 L U' L' U2' L
  • R L d2 R' U' R d2 R' U L'
  • (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
  • L' U R' U2 L U' R U L' U R' U2 L U' R
  • L' U2 L U L' U2 R U' L U R'
  • L' U' L F L' U' L U L F' L2 U L U

J Permutation : b

J.gif

  • R U2 R' U' R U2 L' U R' U' L
  • y2 R L U2 L' U' L U2 R' U L' U'
  • (R U R' F') (R U R' U' R') F (R2 U' R' U')
  • y2 F2' R U R' y r2 y' R U' R U R2'
  • L' U R U' L U2 R' U R U2' R'
  • y2 r2 U' L' U r' U2 R B' R' U2
  • (R U' L U2 R' U L) U' (R U' L U2 R' U L)
  • L' U R' U2 L U' L' U2 R L

N Permutation : a

N1.gif

  • z D R' U R2 D' R (U' D) R' U R2 D' R U' R
  • y' L U' R U2 L' U R' L U' R U2 L' U R'
  • R U' R' U l U F U' R' F' R U' R U l' U R'
  • L U' L' U L F U F' L' U' L F' L F L' U L'
  • R' U L' U2 R U' L R' U L' U2 R U' L
  • R U' L d2 L' U L R' U' R U2 r' F l' U' y2
  • L U' R U2 L' U R' L U' R U2 L' U R' U'
  • R U' R' U l U F U' R' F' R U' R U l' U R'
  • y z R' U R' D R2' U' R U D' R' D R2' U' R D'
  • R U' L d2 L' U L R' U' R U2 L' U R U'
  • F' R U R' U' R' F R2 F U' R' U' R U F' R'

N Permutation : b

N.gif

  • z U' R D' R2' U R' (U' D) R D' R2 U R' D' R'
  • L' U R' U2' L U' L' R U R' U2' L U' R U'
  • R' U R U' R' F' U' F R U R' F R' F' R U' R
  • z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
  • L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
  • L' U L U' r' U' F' U L F L' U L' U' r U' L
  • L U' R U2 L' U R' L U' R U2 L' U R' U'

R Permutation : a

R1.gif

  • y2 z U R2 U' R2 U F' U' R' U R U F U2 R
  • y' R2 B' R' U' R' U R B R' U2 R U2 R'
  • R U2 R' U2 R B' R' U' R U R B R2' U
  • R U2 R' U2 R B' R' U' R U l U R2 F
  • U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'

R Permutation : b

R.gif

  • R' U2 R U2 R' F R U R' U' R' F' R2' U'
  • y R2 B2 U' R' U' R U R U B2 R U' R U
  • R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
  • y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'

T Permutation

T.gif

  • R U R' U' R' F R2 U' R' U' R U R' F'
  • F R U' R' U R U R2 F' R U R U' R'
  • L2 U' L2 D F2 R2 U R2 D' F2
  • R2 U' R2 D B2 L2 U L2 D' B2
  • R2' u' R2 U R2' y R2 u R2' U' R2
  • R2 U R2' U' R2 U' D R2' U' R2 U R2' D'

V Permutation

V.gif

  • R' U R' U' y' x R' U' R2 x' U' R' U R' F R F
  • R' U R' U' B' D B' D' B2 R' B' R B R
  • R' U R' U' x2 y' R' U R' U' l R U' R' U R U
  • y L' U R U' L U L' U R' U' L U2 R U2 R'
  • y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
  • y' R' U L U' R U R' U L' U' R U2 L U2 L'
  • L U' R' U L' U' L U' R U L' U2 R' U2 R
  • R' U R' d' R' F' R2 U' R' U R' F R F
  • R' U R' U' y z' U' R U' R' U2 y' R' U' R U R

Y Permutation

Y.gif

  • R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
  • F R U' R' U' R U R' F' R U R' U' R' F R F'
  • F R U' R' F D R' y x R' U' R z R2 y L' d2
  • z' U2 L' U' L U L' y' L' U' R U' R' U' L U
  • F R' F' R U R U' R2 U' R U l U' R' U
  • z U2 R U R' U' R y R U L' U L U R' U'
  • R' U' R F2 R' U R U y' R2 U' R2' U' R2
  • F R U' R' U' R d R U R' B' R U' R2


PLL (edit)
Permutations of corners only
Permutations of edges only
Permutations of corners and edges