3x3x2 (Domino)‎ > ‎

### PLL

PLL, permutation of the last layer, solves the last layer for the Domino without affecting the first layer. For the usual 3x3x3 cube there are 22 PLL's including the solved case, but here the number is twice that (44) because of parity.

Notation:

• U, U', U2, D, D' and D2 acts as normally.
• R, F, L, B, M and S are all half turns. Rw, Fw, Lw and Bw may also be used in some cases, these are all double layer half turns (Rw = R+M).

2.5 look PLL:

First solve corner permutation. Then parity if there is one using the short and fast opposite PLL parity alg, end in edge permutation (EPLL). It is not lucky to skip parity solving like this because it occures 1:2 times (50%) but it is lucky if you have only the parity and no more (happens 1:12 times).

2 look PLL:

First solve corner permutation (CP/CPLL) in the first look, that are 2+1 solved cases. Then follow it up with edge permutation (EP/EPLL). The number of cases here are twice the number of cases for 3x3x3 EPLL because of paritys.

Corner permutation of the last layer ignoring last layer edge permutation:

 F U F U' R U R U' R F [U'] (y') R U' R U R (y) R U R U' R [U]
 Diag CP 1:6
 R U' R U R U' B U' R U B U' R [U']
CP solved also occures 1:6 times.

For the EP cases ignoring corners you can use the pure EPLLs for the PLL-paritys. Both are optimal in face or W-PLL for the adjacent case that is optimal in slice.

Permutations of edges only (EPLL) :

 Solved 1:144
 Yellow on top (U) Blue in front (F) Green back (B) Red at the right side (R) Orange to the left (L)
 H-PLL 1:144
 M U M U2 M U M B M B U' B M B U R U2 R U2 R U' R U2 R U2 R U

 U-PLL a 1:144
 Lw (y) M U' R U M U' R D Lw (y') R U' (B R B) U2 (B R B) U' R (y) Rw U' R D' R U' R D' R U' Rw (y') R U' R U R U2 R U2 R U R U' R U2 R U2
 U-PLL b 1:144
 Rw (y') M U L U' M U L D' Rw (y) L U (B L B) U2 (B L B) U L (y) Rw U R D R U R D R U Rw (y') R U R U R U2 R U2 R U R U R U2 R U2

 Z-PLL 1:144
 M U' M F M F U M M U' M B M B U M R B U' R U B R (y) R U R U' R R U R U2 R U R U' R U R U2 R U R U'
 W-PLL 1:144
 B U M U B U' M U' B U2 B U2 R B U2 R B U B R B U R U2 (y') Rw U M U R U' M U' Rw

 R U' B U2 R B U2 B R U' R M U' R U2 B R U2 R B U' M R U R U R U2 R U2 R U R U' R
 Op PLL Parity 1:144
 R U2 R U2 R U2

 O-PLL a 1:144
 M U M U M B M U2 B U2 B M U M U M F M U2 F U2 F R U' Rw U' M U' R U' M U' Rw U' R R U R U2 R U R U' R U R U2 R U' R U2 R U
 O-PLL b 1:144
 M U' M U' M B M U2 B U2 B M U' M U' M F M U2 F U2 F R U Rw U M U R U M U Rw U R R U' R U2 R U' R U R U' R U2 R U R U2 R U'

Permutation of corners only (CPLL) :

Note that the H-PLL and the O-PLL's are CP only if the edges are adjusted to correct positions.

 A-PLL a 1:144
 R B U' R U B U' R U R (y') R D R U' R y R U' R D R (y') R D R U' R U D' R U' R D R
 A-PLL b 1:144
 B U' R B U' B U R B U R B (y') R D' R U R y' R U R D' R (y') R D' R U R U' D R U R D' R

 E-PLL 1:144
 R U B U' F U B R U' F U R U' R B U2 B U' B U2 R U' R U R U2 B U' B (y) Rw D Rw U M U2 Rw U Rw D' R U2 Rw U R U R
 M-PLL 1:144
 (y') R U' R U R (y) R U R U R U2 R U

 R U2 R U2 R U R U R U' R F U' F U F
 Diag CP parity 1:144
 B R U2 R U R B U2 B U' B R U2 R U'

Permutation of both corners and edges (PLL) :

 J-PLL a 1:144
 R U R U' B U B U' B R U'  (y) R (y) (R U R U' R) D R U' R U R U R D' R U R U' R D U' R U' R U R D' R U R U' R F U'
 J-PLL b 1:144
 (y2) R U' R U F U' F U F R U (y2) R U' R D R U' R U R D' U R U L U' L U B U' B U B L U L U' L D L U' L U L F U

 R-PLL a 1:144
 B R B U' B R U' R U R U' B U R B
 R-PLL b 1:144
 B L B U B L U L U' L U B U' L B

 T-PLL 1:144
 R U' R U R B U B U' B U R U' R U R (y) R U R U' R
 F-PLL 1:144
 R U' R B U2 B U' R U R U R U2 B U'

 G-PLL a 1:144
 U2 B U' R U2 B R U R U R U' B U' B U' R U2 R U' R D' R U R U' R U D R U2 R
 G-PLL b 1:144
 R U2 R U R U' R U' B U2 R U R U B (y2) R U2 R U' D' R U R U' R D R U R U2 R U

 G-PLL c 1:144
 R U B U B U2 R U' B U' B U B U2 B R U' R U' D' R U2 R U' R U' R D R U R U2
 G-PLL d 1:144
 R U2 F U' F U' F R U F U2 R U' F U R U' R D' R U R U R U2 R U D R U R U2

Diagonal corners, no parity:
 N-PLL a 1:144
 B U2 R U' R U2 R B U B U2 B R U'
 N-PLL b 1:144
 B R U2 R U R B U2 B U' B U2 R U'

 V-PLL 1:144
 R U B U2 B R U R U B U2 R U' R U'
 Y-PLL 1:144
 R U' R U2 B U B U B U2 B R U R U' (y2) R D' R U R U' R D R U' R U R U R

 UR-PLL a 1:144
 R U R U' B U B U' B U2 R U2 R U R U R U R U2 R U D R U' R U R D'
 UL-PLL b 1:144
 L U' L U B U' B U B U2 L U2 L U' (y2) R U' R U' R U2 R U' D' R U R U' R D

 UL-PLL a 1:144
 (y2) B U2 B U2 R U' R U R U' B U B U L U L U' L U2 B U2 B U B U B U'
 UR-PLL b 1:144
 R U' R U R U2 B U2 B U' B U' B U R U' R U R U' D' R U2 R U' R U' R D

 UF-PLL a 1:144
 B U B R U' R U R U' B U' B U2 U R U2 R U' R D' R U R U' R U' D R
 UF-PLL b 1:144
 B U' B L U L U' L U B U B U2 (y2) F U' F R U R U' R U F U F U2

 UB-PLL a 1:144
 B U' R B U B U2 B U' R B U R B U
 UB-PLL b 1:144
 U' B R U R U2 B R U B U B R U B

 ZA-PLL a 1:144
 B R U B U' R U B U B U2 B U' R U' R D' R D R U' R D' R U2 D R U
 ZA-PLL b 1:144
 R U' R U B U' R U' R U2 B R U' R U R D R D' R U R D R U2 D' R U'

Diagonal corners and parity:
 UD-PLL a 1:144
 R U B U' R U B U R U' R U R U' R U2 R U' R U R U' R D R U' R U R D' R
 UD-PLL b 1:144
 U' R U' B U2 R U R U B U2 R U' R U' R D' R U D R U R U' R U' D' R D R

 ZD-PLL a 1:144
 R B U B U2 R U' B U R U2 B U' B R U
 ZD-PLL b 1:144
 R U B U2 R U' B U R U2 B U' R U' R U R U D R U' R U R U' D' R U' R U'

All cases are 1:144? ... No, it will be fixed later :p (Skip and some more cases are 1:144),

Most algs here was generated using Ron's solvers, the block mode version for face only and the sticker version for slice algs. Some was found by hand, some are from Meep and some from Jaap.