Rubik PLL

The 21 PLL cases

Credits

• Original comments and pictures from http://www.cubewhiz.com/pll.php

Moves in BOLD are my current favorites.

Corners Only

Name	Diagram	Algorithm	Comments
Aa		x (R' U R') D2 (R U' R') D2 R2 (video)	This is a basic corner 3-cycle. It is one of my favorite and fastest algorithms. Perform the D2s with the left hand and everything else with the right.
Ab		x R2 D2 (R U R') D2 (R U' R) [y'] x (L U' L) D2 (L' U L) D2 L2	This is just the inverse of the other A perm. It is performed in a very similar manner.
E		x' (R U') (R' D) (R U R' D') (R U R' D) (R U') (R' D')	This alg is just two orientations performed consecutively.

Edges Only

Name	Diagram	Algorithm	Comments
Ua		(R U' R U) (R U) (R U') (R' U' R2) [y2] (R2 U' (R' U' R U) (R U) (R U' R) (video)	This is just a simple 3-edge cycle. It is almost as fast as the corner cycles. I solve this case with the bar at the front or the back.
Ub		(R2 U) (R U R' U') (R' U') (R' U R') [y2] (R' U R' U') (R' U') (R' U) (R U R2) (video)	This is the inverse of the other U perm. I place my hands slightly differently for this algorithm. I solve this case with the bar at the front or the back.
H		(M2' U) (M2' U2) (M2' U) M2' (M2' U') (M2' U2') (M2' U') M2'	This is extremely easy to recognize and can be performed VERY quickly. The M'2 is actually performed as (M'M') with rapid pushing at the back face of the M layer with the ring and then middle fingers.
Z		(M2' U) (M2' U) (M' U2) (M2' U2) (M' U2) (M2' U') (M2' U') (M' U2') (M2' U2') (M' U2')	The Z permutation is performed very similarly to the H perm. The last U2 is not necessary if you account for it before the algorithm.

Swapping Two Adjacent Corners & Two Edges

Name	Diagram	Algorithm	Comments
Ja		(R' U L') U2 (R U' R') U2 (L R U') z (D' R U') R2 (D R' D') R2 (U D R') (same but different grip)	I perform the R of the [R L] a split second after I start the L so that I can immediately perform the U' to AUF when the L face has been moved to where it belongs.
Jb		(R U R' F') (R U R' U') (R' F) (R2 U') (R' U')	This is the same as the T perm with the last four moves instead performed at the beginning.
T		(R U R' U') (R' F) (R2 U') (R' U' R U) (R' F')	This is the T permuation. It is long but definitely very fast and easy. It can be performed in almost one swift motion without any readjusting of the fingers. Note that it is a combination of two easy orientations.
Rb		(R' U2) (R U2) (R' F R U R' U') (R' F' R2 U') (video)	This is a pretty straightforward alg that flows pretty nicely.
Ra		R U R' F' R U2 R' U2 R' F R U R U2 R' U' (video)	You could also just mirror Rb, but this alg is more right hand friendly. Notice the similarity with the Jb permutation.
F		R' U' F' (R U R' U') (R' F) (R2 U') (R' U' R U) (R' U R)	This is a T permutation with a 3 move setup in the beginning and a cancellation of one of those moves at the end.

Cycling Three Corners & Three Edges

To recognize these PLLs:

• Put the HEADLIGHT on the left
• Observe the position of the BLOCK: if it is as the FRONT (resp. FAR RIGHT, BACK and CLOSE RIGHT), then it is a Ga (resp. Gb, Gc and Gd) permutation.

To remember the algorithms, observe the sequence of RIGHT face versus sequence of UP face:

• Ga: R2 R' R' R vs Uw U U' Uw'
• Gb: R2 R' R R vs Uw U U' Uw'
• Gc: R2' R R R' vs Uw' U' U Uw
• Gd: R2' R R' R' vs Uw' U' U Uw

Name	Diagram	Algorithm	Comments
Ga		(R2' Uw) (R' U R' U' R Uw') R2' y' (R' U R)	This alg has a pretty decent flow to it and can be performed almost in one motion until the rotation.
Gb		(R' U' R) y (R2' Uw R' U) (R U' R Uw' R2')	This is the inverse of Ga. Note how similar they look. I perform this one almost exactly the same way.
Gc		(R2' Uw' R U') (R U R' Uw R2) (Fw R' Fw') (Start with thumb on U face)	You could rotate and insert the pair instead of performing the last three moves as shown.
Gd		(R U R') y' (R2' Uw' R U') (R' U R' Uw R2)	This is just the inverse of Gc. I execute it very similarly because most of the moves overlap in the same manner.

Permutations Of Two Diagonal Corners & Two Edges

The Na / Nb permutation variants come from Finger Trick - How to Execute the N Perms Like a Pro (cyotheking).

Name	Diagram	Algorithm	Comments
V		(R' U R' Dw') (R' F' R2 U') (R' U R' F) (R F)	This is one of my least favorite permutations because the flow just isn't there.
Na		(z) D (R' U) (R2 D' R D U') (R' U) (R2 D' R U' R) z U _(R' D)_ (R2 U' R U D') _(R' D)_ (R2 U' R D' [R])	This alg could also be performed using <R,U,L> if you don't do the rotation, but this way is faster with practice. For the 2nd variant: Use normal grip after z RH sexy regrip during the first and second U' Last R assumes following start position (X means cube at correct position) (B) . . X (L) X X X (R) X . . (F) After z U face must have the following pattern: X X . X X X X X X
Nb		(z) U' (R D') (R2' U R' D U') (R D') (R2' U R' D R') z U' (R D') (R2 U R' D U') (R D') R2 U R' D [R]	This is just the mirror of the other N permutation. For the 2nd variant: Use normal LH grip, RH sexy grip after z RH sexy regrip for both R2. All U, D' done with RH. Last R assumes following start position (X means cube at correct position) (B) . X X (L) . X . (R) X X . (F) After z U face must have the following pattern: X X . X X . X X X
Y		(F R U') (R' U' R U) (R' F') (R U R' U') (R' F R F')	This is very quick and can be performed without any adjustments of where the fingers are. It is just a combination of two quick orientations.

Recognizing the PLL cases =

TBC