Algorithms · 3×3
268 cases. 578 algorithms. All of them checked.
Everything below is for the 3×3 — switch puzzles in the header and the library switches with you. Search it all at once, or work through a set at your own pace. Every diagram here is generated by running the algorithm backwards on a solved puzzle, so the picture and the moves can never disagree.
The sets
Beginner F2L
The handful of moves that get the bottom two layers done, one piece at a time.
Beginner LL
Four steps and a handful of algorithms to finish the cube.
F2L
All 41 ways a corner and its edge can be arranged, and the most efficient way to pair and insert each.
2-look OLL
Orient the last layer in two steps using ten algorithms instead of fifty-seven.
OLL
All 57 cases, each turning the top face yellow in one algorithm.
2-look PLL
Permute the last layer in two steps with six algorithms instead of twenty-one.
PLL
All 21 cases, each finishing the cube in one algorithm.
COLL
Orient and permute the last-layer corners at once, leaving the edges oriented but scrambled.
WV
Orient the last-layer corners while inserting the final F2L pair, skipping most of OLL.
CMLL
Solve all last-layer corners in one algorithm, with the M slice left free.
Commutators
Build your own algorithms: swap exactly three pieces and leave everything else alone.