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OH Permutation of the Last Layer

These are the 21 permutation cases for the last layer and the one-handed algorithms I use for them. These algorithms appear EXACTLY as I perform them when I am solving the last layer, in speedcubing notation with rotations included in the algorithm. For some algorithms, you may feel that other rotations are necessary to make the algorithms easier to perform. It should be noted that these are the algorithms that I find easiest to perform. However, you may find other algorithms better-suited for your own hands, so it is recommended to try many different algorithms for the same situation to find which one works best for your own style of cubing.

In each diagram, the edges that are being swapped or moved are denoted by the red arrows, while the corners that are being swapped are moved are shown with blue arrows.

For a printable page of these algorithms, visit my printable page. Please note that you will need Adobe Reader to access and print the printable page.

Corners Only

Name Diagram Algorithm Comments
Aa [x] R' U R' D2 R U' R' D2 R2' This is the same alg I use for two-handed solving. I do rotate the cube slightly for some of the moves.
Ab [x] R2 D2 R U R' D2 R U' R This is the same alg I use for two-handed solving. I do rotate the cube slightly for some of the moves.
E [x'] R U' R Uw2' [z] U' R U [z'] R' U' R Uw2' [z] U' R U D2 This is one of my least favorite cases for one-handed. Note that I hold this case at a different angle than two-handed solving.

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
These are the standard Ua permutations for two-handed except performed from the left side. With a z-rotation, though, they become <R,U> algs.
Ub [z] U' R U' R' U' R' U' R U R U2'
[y2] [z] U2' R U R U' R' U' R' U' R U'
These are the same algs I use for two-handed solving. It's nice to be able to perform this alg from both angles.
H R2 U2' R U2' R2 U2' R2 U2' R U2' R2 This is much slower with one hand than two because M-slices are too difficult to do quickly one-handed.
Z R' U' R U' R U R U' R' U R U R2 U' R' U2' This is just a two-gen Z permutation. Note that I hold this case at a different angle than two-handed solving. You could also try the F/B mirror.

Swapping Two Adjacent Corners & Two Edges

Name Diagram Algorithm Comments
Ja R' U2' R U R' U2' L U' R U Rw' This is one of the nicest PLLs you can get. This alg flows very nicely. You could of course do L instead of Rw' to finish the cube, but since the cube will be finished after the alg, you don't need to worry about the orientation of the cube. Note that I hold this case at a different angle than two-handed solving.
Jb R U2' R' U' R U2' [z] U' R D' R' U This is just the F/B mirror of the Ja permutation. I rotate for the last 5 moves because I find them easier to perform in <R,U,D> than in <L,U,R>.
T [z] U2' R' U2' R U2' R L' U2' R U2' R' U2' Rw I really like this alg. The standard T permutation alg is a bit slow because of its length and the F turns. Note that I hold this case at a different angle than two-handed solving.
Rb R' U R U R' U' R' D' R U R' D R U2' R U This alg is pretty nice because it's mostly <R,U>. The standard alg is a bit slow because of the F turns. Note that I hold this case at a different angle than two-handed solving.
Ra R U' R' U' R U R D R' U' R D' R' U2' R' U' This is just the F/B mirror of the Rb permutation.
F [x] R2 U R U' R' [y] R' U' R U [x] U2' R U' R' U R This is one of my least favorite cases because my two-handed algs are too long and not one-hand friendly. This alg is a bit nicer, but it's still pretty long.

Cycling Three Corners & Three Edges

Name Diagram Algorithm Comments
Ga R2 Uw R' U R' U' R Uw' R2 [yz] U' R U This is the same alg I use for two-handed solving except I rotate to insert the pair at the end because Fw turns are not very easy one-handed.
Gb D R' U' R U D' R2 U R' U R U' R U' R2 U' This is a nicer alg for this permutation than the two-handed alg because it doesn't have any rotations or Uw turns.
Gc R2 Uw' R U' R U R' Uw R2 [y] R U' R' This is the same alg I use for two-handed solving.
Gd R U R' [y'] R2 Uw' R U' R' U R' Uw R2 This is the same alg I use for two-handed solving.

Permutations Of Two Diagonal Corners & Two Edges

Name Diagram Algorithm Comments
V [z] D' R2 D R2 U R' D' R U' R U R' D R U' This alg is pretty decent for one-handed solving. I have thought about using it for two-handed, but I don't think it's faster than the alg I'm using.
Na [z] R' U R' D R2 U' R U [z'] R' U' R U2' [z] U' R Uw' The N permutations are much nicer one-handed than they are two-handed.
Nb [z] U' R D' R2 U R' U' [z'] R U R' U2' [z] U R' D R This is just the mirror of the Na permutation, but I use a different (but similar) alg for it.
Y R2 U' R' U R U' [x'] U' [z'] U' R U' R' U' [z] U R This is not a great PLL for one-handed, but it's okay. The standard Y permutation alg is a bit slow because of its length and the F turns.