First Two Layers

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F2L
Information
Proposer(s): John Conway, David Benson, and David Seal
Proposed: 1979
Alt Names: First Two Layers
Variants: ZZ F2L, ZBLS, VHF2L, WV, MGLS, possibly others
Subgroup: <U,R,L,F,B,D>
No. Algs: 0 Intuitive F2L; 41 Last slot F2L (up to symmetry); 167 First slot F2L (up to symmetry); hundreds more with Advanced F2L
Avg Moves: 6.7 HTM per slot; ~26.8 HTM per four slots
Purpose(s):

First Two Layers, or F2L refers to 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. Usually, it refers to the part of the CFOP and CFCE methods that solve the first two layers in pairs, excluding the cross step. Or it can refer to ZZ's F2L.

2-gen F2L, most pairs (30 of 41) 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 solve the pair to the back slot using only R and U moves. 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 (form pair), and then inserted into the correct slot (pair insertion). A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers. This step of the cube should be done intuitively, even though there are algorithms for each case, algorithms should only be used for slower cases.

The concept of pairing up four corner/edge pairs was first proposed in 1979 by John Conway, David Benson, and David Seal in two separate publications.[1] The idea appeared in other publications starting in 1981.

ZZ F2L

ZZ F2L is very similar to CFOP F2L, but there are some differences in ways you can pair up pieces. ZZ is more blockbuilding centered, and in result, F2L can be completed using block building and is thus more efficient.

See also




F2L

edit

Basic Inserts

F2L 1

F2L U (R U' R') [2]
F2L R' F R F' [3]
F2L U2 (R U2 R')
F2L M' U R U' Rw')


F2L 2

F2L y' U' (R' U R)
F2L U' (F' U F)
F2L F R' F' R [4]
F2L y U' (L' U L)
F2L d' L' U L


F2L 3

F2L F' U' F [5]
F2L y' (R' U' R)
F2L y (L' U' L)


F2L 4

F2L (R U R') [6]
F2L y F U F'
F2L y' f R f'


Reposition Edge

F2L 5

F2L (U' R U R') U2 (R U' R') [7]
F2L (U' R U R') U (R' F R F')
F2L U' (R U R') U' R U2 R'

If the front left slot is open:

F2L U F' R' F' R F

If the back right slot is open:

F2L U R F R' F' R'


F2L 6

F2L d (R' U' R) U2' (R' U R)
F2L y' (U R' U' R) U2 (R' U R)
F2L U' (r U' R' U) (R U r') [8]
F2L y F2 (R U R' U') F2

If the front left slot is open:

F2L U' F' R' F R F

If the back right slot is open:

F2L U' R F R F' R'


F2L 7

F2L U' (R U2' R') U2 (R U' R') [9]
F2L (U' R U2 R')2


F2L 8

F2L d (R' U2 R) U2' (R' U R)
F2L y' U (R' U2 R) U2 (R' U R)
F2L U (R' F R F')2 (R U' R')
F2L (r' U2) (R2 U R2 U r) [10]


Reposition Edge and Flip Corner

F2L 9

F2L U' R U' R' d R' U' R
F2L U' R U' R' U (F' U' F) [11]
F2L d (R' U' R U') (R' U' R)
F2L F (R U R' U') F' R U' R'
F2L y F2 (U R U' R') F2

If the back right slot is open:

F2L R' U' R F' U' F

If the front left slot is open:

F2L F U' F2' U' F


F2L 10

F2L U' (R U R' U)(R U R') [12]
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

If the front left slot is open:

F2L F U F' R U R'

If the back right slot is open:

F2L R' U R2 U R'


F2L 11

F2L U' (R U2' R') d (R' U' R)
F2L U' (R U2' R') U (F' U' F) [13]
F2L (y') R U2 R2 U' R2 U' R'

If the front left slot is open:

F2L L U2 L2 U' L


F2L 12

F2L R U' R' U R U' R' U2 R U' R' [14]
F2L R U2 R' U2' R U2' R' U2' R U' R'
F2L R' U2 R2 U R2 U R [15]
F2L (U R U' R') U' (R U R' U') (R U R')
F2L R U R' U (R' F R F') (R U R')

If the back right slot is open:

F2L R' U2 R2 U R'


F2L 13

F2L d (R' U R U') (R' U' R)
F2L y' U (R' U R U') (R' U' R) [16]
F2L (R U' R') U (R' F R F') (R U' R')

If the back right slot is open:

F2L F U F' R' U' R


F2L 14

F2L U' (R U' R' U) (R U R') [17]

If the front left slot is open:

F2L F U' F' R U R'


Split Pair by Going Over

F2L 15

F2L R' D' R U' R' D R U (R U' R') [18]
F2L (F' U F) U2 (R U R')
F2L U (R' F R F') U (R U R')
F2L R U2 R' U R U R' U R U' R'
F2L R U R' U2 R U' R' U R U' R'
F2L R U' R U2' R2' U' R2 U' R2'
F2L U' R2 U2 R U' R' U R' U2 R2
F2L U2 (R U R' U') R U2 R' U R U R'
F2L U' R' U2 R' U R' U' R U2 R
F2L R U' R U2 R2 U' R2 U' R2

If the back right slot is open:

F2L U' (R' U R U') (R U R')

If the front left slot is open:

F2L U (R U' R') D (R U' R') D'
F2L R F U F' U' R'


F2L 16

F2L (R U' R' U) d (R' U' R)
F2L (R U' R') U2 (F' U' F) [19]
F2L (U) R (F R U R' U' F') R'
F2L y' U R U2 R U' R U R' U2 R'


If the back right slot is open:

F2L F' R' U' R U F


F2L 17

F2L (R U2 R') U' (R U R') [20]


F2L 18

F2L y' (R' U2 R) U (R' U' R) [21]
F2L y (L' U2 L) U (L' U' L)
F2L (R U R' U') (R U R' U') F R' F' R
F2L (R' F R F') (R U' R' U) (R U' R') [22]


Pair Made on Side

F2L 19


F2L U (R U2 R') U (R U' R') [23]
F2L (R U' R' U)2 R U R'


F2L 20


F2L y' U' (R' U2 R) U' (R' U R) [24]
F2L U' (R U' R2' F R F') (R U' R')
F2L y' (R' U R U')2 R' U' R


F2L 21

F2L (R U' R') U2 (R U R') [25]
F2L U2 (R U R' U)(R U' R') [26]


F2L 22

F2L y' (R' U R) U2 (R' U' R)
F2L y' U2 (R' U' R U') (R' U R)
F2L r U' r' U2 r U r' [27]
F2L U (F R U R' U' F') R U R' U2'


Weird

F2L 23

F2L U2 R2 U2 (R' U' R U') R2
F2L U (F R' F' R) U (R U R') [28]
F2L U R U' R' U' R U' R' U R U' R' [29]
F2L (R U R' U') U' (R U R' U')(R U R')
F2L R U' R' U' (R U R') U2 (R U R')
F2L R2 U R' U R U2 R' U' R'


F2L 24


F2L (R U R') d (R' U R U') (R' U R)
F2L y' (R' U' R U) U (R' U' R U)(R' U' R)
F2L y' U2 R2 U2 (R U R' U) R2
F2L U' (R U) (R2' F R F') (R U' R')
F2L F U (R U' R' F')(R U' R') [30]
F2L (R U R' U) (R U R' U') (F R' F' R)
F2L (R U R' U) (R U2 R') F' U2 F


Corner in Place, Edge in U Face

F2L 25

F2L U' (R' F R F') (R U R') [31]
F2L R' U' R' U' R' U R U R
F2L U' (F' U F) U (R U' R')
F2L R' F' R U R U' R' F
F2L (U') F' R U R' U' R' F R [32]
F2L (R U' R' U') (R U' R' U) (R U R')
F2L (U) (R' U' R' U') R2 (U R U R)
F2L (U2) (R' U' R' U' R U R U R)


If the back right slot is open:

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


F2L 26

F2L y' R U R U R U' R' U' R'
F2L U (R U' R') U' (F' U F)
F2L U (R U' R') (F R' F' R) [33]
F2L y' (U') R U R U R2 U' R' U' R'
F2L y' (U2) R U R U R' U' R' U' R'
F2L r U r' U2 r U r' U2 r U' r'


F2L U (l F' l') (F R' F' R)
F2L d (R B' R' B) (R' U' R)

F2L 27

F2L (R U' R' U)(R U' R') [34]
F2L (R U' R2)(F R F') [35]


F2L 28

F2L (R U R' U') F R' F' R
F2L (R U R') d (R' U2 R)
F2L y (L' U L U') (L' U L) [36]
F2L y' (R' U R U')(R' U R)
F2L (R U R') U (F' U2 F)


F2L 29

F2L y' (R' U' R U)(R' U' R)
F2L U2 (R U' R') y' (R' U' R)
F2L (R' F R F')2
F2L (R' F R F') (U R U' R') [37]


F2L 30

F2L (R U R' U')(R U R') [38]
F2L U2 (F' U F)(R U R')
F2L U' (R U2 R')U2 (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') [39]
F2L R U2 R' U' F R' F' R


F2L 32

F2L (R U R' U')2 (R U R')
F2L (U R U' R')3 [40]
F2L U' (R U R' U') (R U R' U) (R U' R')


F2L 33

F2L U' (R U' R') U2' (R U' R') [41]
F2L (U' R U' R') U2 (R U' R')
F2L y U' (L' U' L) U2 (L' U' L)


If the back right slot is open:

F2L u R U' R' u'

If the front left slot is open:

F2L E F' U' F u

F2L 34

F2L U (F' U F) U2 (F' U F)
F2L U' (R U2' R') U (R U R') [42]
F2L U (R U R') U2 (R U R') [43]
F2L d (R' U R) U2 (R' U R)
F2L y (U L' U L) U2 (L' U L)
F2L U y F U2 R U2 R' F'

If the back right slot is open:

F2L E' R U R' E

If the front left slot is open:

F2L u' F' U F u


F2L 35

F2L U' R U R' U (F' U' F) [44]
F2L (U' R U R') d (R' U' R)
F2L U2 (R U' R') U' (F' U' F)


F2L 36

F2L U F' U' F U' (R U R') [45]
F2L U2 (R' F R F') U2 (R U R') [46]
F2L y' U (R' U' R U') y (R U R')


Edge and Corner in Place

F2L 37

Solved

F2L 38

F2L (R' F R F') (R U' R' U) (R U' R' U2) (R U' R') [47]
F2L (R U' R') d (R' U2 R) U2' (R' U R)
F2L (R U R') U2 (R U2 R') d (R' U' R)
F2L (R2 U2) (F R2 F') (U2 R' U R') [48]
F2L (R U R' U')(R U2 R' d)(R' U' R U' R' U R)

If the back right slot is open:

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


F2L 39

F2L (R U' R') U' (R U R') U2 (R U' R') [49]
F2L y' (R' U' R) U2 (R' U R U') (R' U' R)
F2L (R U R' U') (R U2 R') U' (R U R')


F2L 40

F2L (R U' R' U)(R U2' R') U (R U' R') [50]
F2L (R U R') U2 (R U' R' U)(R U R')
F2L (R U2) (R U R' U) (R U2 R2')
F2L y' R2 U2 R U R' U R U2 R


F2L 41

F2L (r U' r') U2 (r U r') (R U R') [51]
F2L (R U' R') d (R' U' R U') (R' U' R)
F2L R U' R' U' R U' R' d R' U' R
F2L R (F U R U' R' F') U' R'

If the back right slot is open:

F2L R U' R2 U' R y' R' U' R y


F2L 42

F2L (R U' R') (r U' r') U2 (r U r') [52]
F2L (R U' R' U) d (R' U' R U') (R' U R)
F2L (R U' R' U2) y' (R' U' R U' R' U R)
F2L (R U R' U') (R U' R') U2 (F' U' F)
F2L R U (F R U R' U' F') R'

If the front left slot is open:

F2L y' R' U R2 U R' y R U R'


See also

External Resources

Beginner

Standard

Advanced

F2L Trainers

SpeedCubeDB trainer - for all sets and orientations

ExpertCuber.by