CMLL · all 42 algorithms
In the Roux method's third step, CMLL orients and permutes the four last-layer corners in one go, ignoring the M-slice edges. Cases are grouped by their corner-orientation pattern — recognise the pattern, then pick the algorithm.
O2 cases
O Adjacent
R U R' F' R U R' U' R' F R2 U' R'O Diagonal
F R U' R' U' R U R' F' R U R' U' R' F R F'H4 cases
H Columns
U R U R' U R U' R' U R U2 R'H Rows
F R U R' U' R U R' U' R U R' U' F'H Column
R' F2 D R2 U R2 D' F2 RH Row
U2 r U' r2 D' r U' r' D r2 U r'Pi6 cases
Pi Right Bar
F R U R' U' R U R' U' F'Pi Down Slash
U F R' F' R U2 R U' R' U R U2 R'Pi X
R' F2 D R2 U' R2 D' F2 RPi Up Slash
R U2 R' U' R U R' U2 R' F R F'Pi Columns
U' r U' r2 D' r U r' D r2 U r'Pi Left Bar
U' R' U' R' F R F' R U' R' U2 RU6 cases
U Up Slash
U2 R2 D R' U2 R D' R' U2 R'U Down Slash
R2 D' R U2 R' D R U2 RU Bottom Row
R' U' R U' R' U2 R2 U R' U R U2 R'U Rows
U' F R2 D R' U R D' R2 U' F'U X
U2 r U' r' U r' D' r U' r' D rU Upper Row
U' F R U R' U' F'T6 cases
T Left Bar
U' R U R' U' R' F R F'T Right Bar
U L' U' L U L F' L' FT Rows
R U2 R' U' R U' R2 U2 R U R' U RT Bottom Row
r' U r U2 R2 F R F' RT Top Row
r' D' r U r' D r U' r U r'T Columns
U2 r U' r2 D' r U2 r' D r2 U r'L6 cases
L Best
U' F' r U r' U' r' F rL Good
U2 F R' F' R U R U' R'L Pure
R U R' U R U' R' U R U' R' U R U2 R'L Front Commutator
U2 R U2 R D R' U2 R D' R2L Diagonal
U2 R U2 R2 F R F' R U2 R'L Back Commutator
U R' U2 R' D' R U2 R' D R2Sune6 cases
Sune Left Bar
U R U R' U R U2 R'Sune X
U L' U2 L U2 r U' r' FSune Up Slash
U F R' F' R U2 R U2 R'Sune Columns
U R U R' U' R' F R F' R U R' U R U2 R'Sune Right Bar
U' R U R' U R' F R F' R U2 R'Sune Down Slash
U r U' r' F R' F' RAnti-Sune6 cases
Anti Sune Right Bar
U R' U' R U' R' U2 RAnti Sune Columns
U2 R U R2 F' r F R U' r2 F rAnti Sune Down Slash
U' F' L F L' U2 L' U2 LAnti Sune X
U' R U2 R' U2 R' F R F'Anti Sune Up Slash
U' R' F R F' r U r'Anti Sune Left Bar
U R U2 R' F R' F' R U' R U' R'Notation: R U F = clockwise, R' = counter-clockwise, R2 = 180°; lowercase (r) are wide moves. Algorithms sourced from Speed Cube Database; several valid algorithms may exist per case.