Intuitive OLS method
Instead of learning one algorithm per case, learn a small number and find the others: with the other hand, backwards, or after a short setup. This page tells how many you need depending on what you allow and the margin accepted over the optimum, and gives the list to learn.
8,111 cases · 30 lists
The four moves of the method
A U at the start is free
A U or U' played before the algorithm does not change the case: it only presents it. It is never counted.
Case 4C2E-0006: the algorithm after a free U
U R U M U' R' U M'
The other hand
An algorithm played as a mirror, with the other hand, solves the mirror case. Here, one case's algorithm and its twin's.
Case 3C3E-0034: learned algorithm
L U' F' U F U L'Case 3C3E-0040: the same, with the other hand
y R' U F U' F' U' R
The inverse
Played backwards, an algorithm solves another case, often without losing a move over the optimum.
Case 4C2E-0003: learned algorithm
U' B' R' U2 B' R' B R U2 BCase 4C2E-0008: its inverse, for another case
B' U2 R' B' R B U2 R B
A short setup
A few moves before a known algorithm bring the cube to a case you already solve. Here, F' U' F then OLL 43.
Case 3C2E-0100: setup, then the known algorithm
F' U' F B' U' R' U R B
How many algorithms to learn
Each cell gives the size of the smallest list found that solves the 8,111 cases, depending on the moves allowed (rows), the starting point and the margin accepted over the optimum (columns). In bold: proven minimum. Otherwise, the proven bound is given in brackets. Pick a cell to see its list.
| Moves allowed | +0 | +1 | +2 | +3 | +4 |
|---|---|---|---|---|---|
| Mirror and inversefrom scratch | |||||
| Mirror and inverseOLL and PLL known | |||||
| Mirror, inverse and a setup of 4 moves at mostfrom scratch | |||||
| Mirror, inverse and a setup of 4 moves at mostOLL and PLL known | |||||
| Mirror, inverse and a setup of 5 moves at mostfrom scratch | |||||
| Mirror, inverse and a setup of 5 moves at mostOLL and PLL known |