Learn · Level 3
The full system
Competition solvers look at a cube once per stage and know the cure instantly: 41 ways a pair can sit, 57 ways a last layer can scatter, 21 ways it can shuffle. Nobody learns it in a weekend. Everybody who knows it learned it a few cases at a time.
The method taught in Levels 1 and 2 is the beginner form of CFOP, the system most competition solvers use. Full CFOP differs in recognition: instead of fixing pieces a few at a time, a trained solver reads each stage in one look and plays the exact algorithm for the exact case. The whole library lives here, every case defined, animated, and checked by a computer before it may publish.
Take them in order. The pairs pay for themselves first, because the first two layers hold most of a solve's time. The orientations come a family at a time. The permutations finish the job.
First two layers
The 41 pairs
A corner and its edge, brought home together. Most of a solve's time is spent here.
Orientation
The 57 orientations
Every way the yellow face can scatter, and the one-pass cure for each.
Permutation
The 21 permutations
Every way the finished-looking layer can still be shuffled.
When the diagrams start to feel familiar, the recognition trainer deals you cases at random angles against the clock, and keeps your times on your own device. Recognition, not finger speed, is what separates a one-minute solver from a twenty-second one.
Checked by simulation before publishing: the position shown plus the moves shown must produce a finished cube, and the algorithm must touch nothing outside its own job. The diagram and the player are drawn from the same simulated position, so they cannot disagree.