Rubik PLL

The 21 PLL cases

Moves in BOLD are my current favorites.

Name	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.

Name	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.

Name	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.

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:

Name	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.

Name	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.

TBC