Rubik's Cube Algorithms
Basic Right Insert
R U R'
Fundamental F2L corner insert from the right
Basic Left Insert
L' U' L
Mirrored left-side corner insert
Corner Set + Edge Top
U R U' R' U' F' U F
Corner in place, edge on top layer
Sexy Move
R U R' U'
Core CFOP 4-move trigger
Sledgehammer
R' F R F'
Fundamental 4-move flip
Hedge Sledgehammer
F R' F' R
Reverse order of Sledgehammer
OLL Cross (L-Shape)
F R U R' U' F'
Build top cross from L-shape
OLL Cross (Line)
f R U R' U' f'
Build top cross from horizontal line
Sune
R U R' U R U2 R'
Classic fish-pattern algorithm
Anti-Sune
R U2 R' U' R U' R'
Mirrored Sune algorithm
Ua-Perm
R U' R U R U R U' R' U' R2
3-edge clockwise cycle
Ub-Perm
R2 U R U R' U' R' U' R' U R'
3-edge counter-clockwise cycle
T-Perm
R U R' U' R' F R2 U' R' U' R U R' F'
Swap 2 corners and 2 edges
Y-Perm
F R U' R' U' R U R' F' R U R' U' R' F R F'
Diagonal corner swap + opposite edge swap
H-Perm
M2 U M2 U2 M2 U M2
Swap 2 pairs of opposite edges
Z-Perm
M2 U M2 U M' U2 M2 U2 M'
Swap 2 pairs of adjacent edges
Sexy Move ×6
R U R' U' R U R' U' R U R' U' R U R' U' R U R' U' R U R' U'
6 repetitions return to solved state