First Two Layers

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Revision as of 15:48, 1 December 2010 by Kenneth (talk | contribs) (→Fridrich F2L: Mabye the page was intended to only have optimal algs but that is not the fact.)
F2L method
Information about the method
Proposer(s):
Proposed:
Alt Names:
Variants:
No. Steps: 1
No. Algs: 42
Avg Moves:
Purpose(s):

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 Ren Schoof in 1981.

F2L

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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 F R' F' R
F2L d' L' U L
F2L r U R' U' M



F2L 3

F2L y' (R' U' R)
F2L y (L' U' L)
F2L U M R U' R' U M'

F2L 4

F2L (R U R')


Reposition Edge

F2L 5

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


F2L 6

F2L d (R' U' R) U2' (R' U R)
F2L y' (U R' U' R) U2 (R' U R)
F2L y' (U R' U' R) U' y (F R' F' R)
F2L U' (r U' R' U) (R U r')


F2L 7

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


F2L 8

F2L d (R' U2 R) U2' (R' U R)
F2L y' U (R' U2 R) U2 (R' U R)
F2L (r' U2) (R2 U R2 U r)


Reposition Edge and Flip Corner

F2L 9

F2L d (R' U' R U')(R' U' R)
F2L y2 U' (L U') d' (L' U' L)
F2L U' R U' R' U2 M R U' R' U M'

F2L 10

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


F2L 11

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


F2L 12

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


F2L 13

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

F2L 14

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


Split Pair by Going Over

F2L 15

F2L M U L F' L' U' M'
F2L y' (R' U R U') d' (R U R')
F2L y (L' U L) U2 y (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 16

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

F2L 17

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


F2L 18

F2L y' (R' U2 R) U (R' U' R)
F2L y (L' U2 L) U (L' U' L)
F2L (R U R' U') R U2 R' U y (L' U L)

Pair Made on Side

F2L 19

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

F2L 20

F2L y' U' (R' U2 R) U' (R' U R)
F2L d' (R' U2 R) U' (R' U R)

F2L 21

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

F2L 22

F2L y' U2 (R' U' R U')(R' U R)
F2L U' d' (R' U' R U')(R' U R)


Weird

F2L 23

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

F2L 24

F2L U F' L' U L F 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')

Corner in Place, Edge in U Face

F2L 25

F2L d' (L' U L) d (R U' R')
F2L y U' (L' U' L) U (F U F')
F2L U' (F' U F) U (R U' R')
F2L R U2 R' U R U2 R' U2 R U' R'
F2L R U R' U2 R U R' U2 R U' R'
F2L R' F' R U R U' R' F
F2L (U') F' R U R' U' R' F R
F2L (R U' R' U') (R U' R' U) (R U R')

Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)

F2L 26

F2L U (R U' R') d' (L' U L)
F2L U (R U' R') U' (F' U F)
F2L U (R U' R') (F R' F' R)
Full U R U' M' U R' U' M


F2L 27

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


F2L 28

F2L y' (R' U R U')(R' U R)
F2L (R U R') U (F' U2 F)
F2L (R U R') U l2 F' l' U l'


F2L 29

F2L y' (R' U' R U)(R' U' R)
F2L U2 (R U' R') y' (R' U' R)

F2L 30

F2L (R U R' U')(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 32

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


F2L 33

F2L (U' R U' R') U2 (R U' R')
F2L y U' (L U' L') U2 (L U' L)

F2L 34

F2L U' (R U2' R') U (R U R')
F2L U (R U R') U2 (R U R')
F2L d (R' U R) U2 (R' U R)

F2L 35

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

F2L 36

F2L d (R' U' R) d' (R U R')
F2L y U2 (L' U L) U (F U F')

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')
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')


F2L 39

F2L (R U' R') U' (R U R') U2 (R U' R')
F2L y (L' U' L) U2 (L' U L U')(L' U' L)
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')
F2L (R U R') U2 (R U' R' U)(R U R')
F2L (R U2) (R U R' U) (R U2 R2')

F2L 41

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

F2L 42

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 y (L' U L) d' (L U L' U) (L U L')
F2L R2 y (R U R' U') y' (R' U R')

See Also

External Resources


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