After the cross, the next step is F2L (First Two Layers), arguably the most important step of Fridrich Method. This step completes the first two layers by fixing the four corner-edge pairs (slots) between the cross edges in four steps, one slot at a time. There are 41 basic "algorithms" to insert a corner and its corresponding edge into their correct spot in the correct orientation. However, most of these are relatively short and intuitive compared to the last layer algorithms (hence the quotation marks).
Because the four pairs can be solved in any order, F2L is a relatively flexive step and allows for many techniques that reduce the number of moves. Rather than blindly applying the algorithms, it is important to understand how each one works and to be able to apply them from all directions. If you are new to F2L, consider learning it intuitively first from Doug Reed's guide and then comparing your algorithms with my list or with those at cubeloop.com.
Solving the first two layers could be intuitive for beginner's because it has only 3 main cases. Though, solving the f2l consumes most of the time in cubing. Solving the f2l using Fridrich method is very different from the layer by layer method (LBL).
Here's the list of 41 basic cases and their corresponding algorithms we may need to know in order to solve the f2l faster:A0 F2 U2 R' F2 R U2 F U' F |
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A1 U R U' R' U' F' U F |
A2 U'F'U F U R U' R' |
B1 F2 U' F2 U' F2 U2 F2 |
B2 R U' R' F' U2 F |
C1 R U2 R U R' U R U2 R2 |
C2 R2 U2 R' U' R U' R' U2 R' |
D1 F'U F' U' L' U L F2 |
D2 R U' R U B U' B' R2 |
E1 F' U F2 R' F' R |
E2 R U' R2 F R F' |
F1 U F' U F R U R' |
F2 U' R U' R' F' U' F |
G1 U F' U F U2 F' U F |
G2 U' R U' R' U2 R U' R' |
H1 U F' U' F U' R U R' |
H2 U' R U R' U F' U' F |
I1 U' F' U F |
I2 U R U' R' |
J1 U F' U2 F U' R U R' |
J2 U' R U2 R' U F' U' F |
K1 R U' R' U2 F' U' F |
K2 F' U F U2 R U R' |
L1 U' R U' R' U R U R' |
L2 U F' U F U' F' U' F |
M1 R U R B' R' B U2 R' |
M2 F' U' F' L F L' U2 F |
N1 F' U2 F U F' U' F |
N2 R U2 R' U' R U R' |
Q1 U F' U' F U2 F' U F |
Q2 U' R U R' U2 R U' R' |
R1 U F' U F U' R U R' |
R2 U' R U' R' U F' U' F |
S1 U F' U2 F U2 F' U F |
S2 U' R U2 R' U2 R U' R' |
T1 R U R' |
T2 F' U' F |
U1 U' F' U2 F U'F' U F |
U2 U R U2 R' U R U' R' |
V1 U2 R U R'U R U' R' |
V2 U2 F' U' F U' F' U F |
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