# First Two Layers

 F2L method Information about the method Proposer(s): René Schoof Proposed: 1981 Alt Names: Variants: ZBLS, VHF2L, WV, MGLS, possibly others No. Steps: 1 No. Algs: 42 Avg Moves: 6.7 HTM a slot Purpose(s): Speedsolving, FMC

First Two Layers, or F2L are normally the first two bottom layers of the 3x3x3 cube, or essentially all layers up until the last layer on larger cubes.

The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the Fridrich method that solves the pairs without counting the cross part.

2-gen F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.

## Approaches

### Petrus F2L

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the Petrus method.

### Fridrich F2L

There are many ways to solve the 'F2L' on a cube. A common system is using the Fridrich method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.

The concept of pairing up four corner/edge pairs was first proposed by René Schoof in 1981.

## Easy Cases

### F2L 1

 F2L U (R U' R')
 F2L R' F R F'
 F2L U2 (R U2 R')

### F2L 2

 F2L y' U' (R' U R)
 F2L U' (F' U F)
 F2L F R' F' R
 F2L d' L' U L
 F2L r U R' U' M
 F2L (U2) l R U' R' U l'
 F2L (U2) l2 F' l' U l'

### F2L 3

 F2L y' (R' U' R)
 F2L y (L' U' L)
 F2L F' U' F
 F2L U M R U' R' U M'
 F2L U r' R2 U' R' U M'

### F2L 4

 F2L (R U R')

## Reposition Edge

### F2L 5

 F2L F2 (L' U' L U) F2

### F2L 6

 F2L R2 (B U B' U') R2
 F2L y F2 (R U R' U') F2

### F2L 7

 F2L M' U' M U2 r U' r'
 F2L R U B U2 B' U R'

## Reposition Edge and Flip Corner

### F2L 9

 F2L U' R U' R' d R' U' R
 F2L y F2 (U R U' R') F2

### F2L 10

 F2L R d' R U R' U2 F'
 F2L U F' U F U' R U R'
 F2L d R' U R d' R U R'
 F2L y2 B2 (U' R' U R) B2

Back Right Slot Open: R' U R2 U R'

### F2L 12

 F2L R' U2 R2 U R2 U R
 F2L R' U2 R2 U R2 U R

Back right slot open: R' U2 R2 U R'

### F2L 13

Back right slot open : R' U R F' U' F

### F2L 14

 F2L d' F U' F' d R U R'

## Split Pair by Going Over

### F2L 15

 F2L M U L F' L' U' M'

Front left slot open: U (R U' R') D (R U' R') D'

Back right slot open: U' (R' U R U') (R U R')

### F2L 18

 F2L F' U2 F U F' U' F

### F2L 19

 F2L U R U2 R2 (F R F')

### F2L 20

 F2L d' L' U2 L U' L' U L

### F2L 21

 F2L R B U2 B' R'
 F2L U2 R x' U' R U x R2'

### F2L 22

 F2L F' L' U2 L F
 F2L r U' r' U2 r U r'

## Weird

### F2L 24

 F2L U F' L' U L F R U R'

## Corner in Place, Edge in U Face

### F2L 25

 F2L R' F' R U R U' R' F

If the back right slot is open:

 F2L R2 U' R' U R2
 F2L U D' R U' R' D

### F2L 26

 F2L U R U' M' U R' U' M

### F2L 27

 F2L (R U' R' U)(R U' R')
 F2L (R U' R2)(F R F')
 F2L F' U' F U2 (R U' R')

### F2L 28

 F2L (R U R') d (R' U2 R)
 F2L (R U R') U (F' U2 F)
 F2L R U2 l U' R' U l'
 F2L (F' U F2)(R' F' R)

### F2L 30

 F2L (R U R' U')(R U R')
 F2L U2 (F' U F)(R U R')

## Edge in Place, Corner in U face

### F2L 31

 F2L (R U' R') d (R' U R)
 F2L (R U' R' U)(F' U F)
 F2L U' R' F R F' R U' R'
 F2L R U' l U' R' U l'
 F2L F2 r U r' F R U' R'
 F2L R U2 R' U' F R' F' R

### F2L 32

 F2L U2 R d' R U R' d R'
 F2L U R d' R U2 R' d R'
 F2L R2 U R2 U R2 U2 R2

### F2L 35

 F2L U' l U' R U l' U R'

Solved