PLL

Information
Proposer(s):	Hans Dockhorn, Anneke Treep, Jessica Fridrich
Proposed:
Alt Names:
Variants:
Subgroup:	ZBLL
No. Algs:	21
Avg Moves:	optimal: 11.8 HTM, 10.57 STM speed optimized~13 STM
Purpose(s):	Speedsolving

PLL is the acronym for Permutation of the Last Layer. Permutation of the Last Layer is 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. If you like, 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.

Permutations of corners only
Aa Ab E

Permutations of edges only
H Ua Ub Z

Permutations of corners and edges
F Ga / Gb / Gc / Gd Ja / Jb Na / Nb Ra / Rb T V Y

External links

AlgDB PLL Page
SpeedCubeDB PLL Page
"PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)" (Comparative pattern analysis of PLLs from all angles, by Parity Case)
of PLL algorithms executions
Recognize PLLs by patterns (PLL patterns and Algs by RiDo)
PLL Cheat Sheet (Printable PDF of all PLL algorithms on a single page)
Speedsolving.com: Recognizing PLLs from only 2 sides
Recognizing PLLs from only 2 sides - Improved version
YouTube series
speedcubingtips.eu PLL algs

PLL 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.

Permutations of Edges Only

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

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'

[1]

PLL

M2' U' M2' U2' M2' U' M2'

[2]

[3]

PLL

R2' S2 R2 U' R2' S2 R2

PLL

R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2'

[4]

PLL

M2' U2 M2' U' M2' U2 M2'

PLL

M2' U2 M2' U M2' U2 M2'

PLL

R2 U2 R U2 R2 U2 R2 U2 R U2 R2

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

M2' u M2' u2 M2' u M2'

PLL

M2' u' M2' u2' M2' u' M2'

PLL

(M2' U)5 M2'

PLL

x2 (R U R' U' D)30 x2

U Permutation : a

Name: U-PLL a
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

PLL

M2 U M' U2 M U M2

PLL

(y2) M2' U M U2 M' U M2'

[5]

PLL

(y2) R U' R U R U R U' R' U' R2

[6]

PLL

(y) R2 U' S' U2' S U' R2

PLL

(y) R2 U' R2 S R2 S' U R2

PLL

R2 U' R' U' R U R U R U' R

PLL

R U R' U R' U' R2 U' R' U R' U R

[7]

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' E' R) U (R' E R) U (R' E' R) U2 (R' E R)

PLL

(R U R' U') (L' U' L U) (U R U' R') (U' L' U L)

PLL

(R U R' U') (L' U' L) U2 (R U' R') (U' L' U L)

PLL

y2 (L' U' L U' L' U2 L) U' (R U R' U R U2 R') U

U Permutation : b

Name: U-PLL b
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

PLL

M2 U' M' U2 M U' M2

PLL

(y2) M2 U' M U2 M' U' M2

[8]

PLL

R' U R' U' R3 U' R' U R U R2

[9]

PLL

(y2) R2 U R U R' U' R' U' R' U R'

PLL

(y) R2 U' S R2 S' R2 U R2

PLL

R' U R' U' R' U' R' U R U R2

PLL

(y2) L' U L' U' L' U' L' U L U L2

PLL

(y') M2 u M' u2 M' u M2

PLL

(y2) R' U' R U' R U R2 U R 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

(R' E' R) U2 (R' E R) U' (R' E' R) U' (R' E R)

PLL

(L' U' L U) (R U R' U') (U' L' U L) (U R U' R')

PLL

(L' U' L U) (R U R') U2' (L' U L) (U R U' R')

PLL

y2 (R U R' U R U2 R') U (L' U' L U' L' U2 L) U'

Z Permutation

Name: Z-PLL
Used in: EPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 12 HTM, 7 STM

PLL

(y) M2' U2 M U M2' U M2' U M

PLL

M2' U2 M U' M2' U' M2' U' M

[10]

PLL

M2' U M2' U M' U2 M2' U2 M'

PLL

(y) M2' U' M2' U' M' U2 M2' U2 M'

PLL

M2' U M2' U M U2 M2' U2 M

PLL

(y) M2' U' M2' U' M U2 M2' U2 M

PLL

M2' u M2' u' S M2' S'

PLL

M' U' M2' U' M2' U' M' U2 M2'

PLL

(y) M' U M2' U M2' U M' U2 M2'

PLL

M U' M2' U' M2' U' M U2 M2'

PLL

(y) M U M2' U M2' U M U2 M2'

PLL

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'

PLL

R U R' U R' U' R' U R U' R' U' R2 U R

PLL

(y) R' U' R U' R U R U' R' U R U R2 U' R'

PLL

R B' R' B F R' F B' R' B R F2

PLL

M2' U2 M' U' M2' U' M2' U' M'

PLL

(y) M2' U2 M' U M2' U M2' U M'

PLL

M' U2 M2' U2 M' U' M2' U' M2'

PLL

(y) M' U2 M2' U2 M' U M2' U M2'

PLL

M U2 M2' U2 M U' M2' U' M2'

PLL

(y) 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' M E2 M D2

PLL

E2 M' E2 M' U M2 U' M2

PLL

M2' U M2' U M2' F2 M2' F2

Permutations of Corners Only

This is also known as CPLL (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as H-PLL + U2, see EPLL.