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First Two Layers

2019-07-26T13:33:54Z

Electrical:

<seo title="First Two Layers (F2L) of Fridrich Speedcubing Method" metak="f2l algs, f2l, first two layers, f2l algorithms, speedcubing" />
{{Substep Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=First Two Layers
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|subgroup=<nowiki><U,R,L,F,B,D></nowiki>
|algs=0 to 41; hundreds more with [[Advanced F2L]]
|moves=6.7 [[HTM]] per slot; ~26.8 [[HTM]] per four slots
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[Cross cube state]]
|next=[[F2L cube state]]
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]

}}
'''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. Usually, it refers to the part of the [[CFOP]] and [[CFCE]] methods that solve the first two layers in [[pair]]s, excluding the [[cross]] step.

[[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 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 ('''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 by [[René Schoof]] in 1981.

----

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}
{{Alg|* y' U f R' f' |F2L}}

|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|* y U' (f' L f)|F2L}}
{{Alg|y' U' (R' U R)|F2L}}
{{Alg|U' (F' U F)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}
{{Alg|(U2) l R U' R' U l'|F2L}}
{{Alg|(U2) l2 F' l' U l'|F2L}}
{{Alg|(U') F R' F' R2 U' R'|F2L}}
{{Alg|F l' U' l|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|* y2 f' L' f |F2L}}
{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{alg|F' U' F|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
{{Alg|U r' R2 U' R' U M'|F2L}}

|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}
{{Alg|(U2) L (R U' R') U L'|F2L}}
{{Alg|* y' f R f'|F2L}}

|-valign="top"
{* = Usually used for the back slots without doing rotations. Gud Luck!}
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}
{{Alg|F2 (L' U' L U) F2|F2L}}
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}
{{Alg|U' (R U R') U' R U2 R'|F2L}}
If the front left slot is open:
{{Alg|U F' R' F' R F|F2L}}
If the back right slot is open:
{{Alg|U R F R' F' R'|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}
{{Alg|R2 (B U B' U') R2|F2L}}
{{Alg|y F2 (R U R' U') F2|F2L}}
If the front left slot is open:
{{Alg|U' F' R' F R F|F2L}}
If the back right slot is open:
{{Alg|U' R F R F' R'|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}
{{Alg|(U' R U2 R')2|F2L}}
{{Alg|M' U' M U2 r U' r'|F2L}}
{{Alg|R U B U2 B' U R'|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(U F' U2 F)2|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}
{{Alg|y' R' U' F' U2 F U' R|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|U' R U' R' d R' U' R |F2L}}
{{Alg|d (R' U' R U') (R' U' R)|F2L}}
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}
{{Alg|U r U R' U' R2 r' U' R'|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
{{Alg|F (R U R' U') F' R U' R'|F2L}}
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}
{{Alg|y F2 (U R U' R') F2|F2L}}
If the back right slot is open:
{{Alg|R' U' R F' U' F|F2L}}
If the front left slot is open:
{{Alg|F U' F2' U' F|F2L}}

|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d' R U R' U2 F'|F2L}}
{{Alg|U F' U F U' R U R'|F2L}}
{{Alg|d R' U R d' R U R'|F2L}}
{{Alg|y2 B2 (U' R' U R) B2|F2L}}
If the front left slot is open:
{{Alg|F U F' R U R'|F2L}}
If the back right slot is open:
{{Alg|R' U R2 U R'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|U' (R U2' R') U (F' U' F)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}
{{Alg|U' l F U' R U l' U R'|F2L}}
|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}
{{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}
If the back right slot is open:
{{Alg|R' U2 R2 U R'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U') (R' U' R)|F2L}}
{{Alg|y' U (R' U R U') (R' U' R)|F2L}}
{{Alg|(U F' U F) U' (F' U' F)|F2L}}
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}
{{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}
If the back right slot is open:
{{Alg|R' U R F' U' F|F2L}}

|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U) (R U R')|F2L}}
{{Alg|d' F U' F' d R U R'|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|R B L U' L' B' R'|F2L}}
{{Alg|(F' U F) U2 (R U R')|F2L}}
{{Alg|U (R' F R F') U (R U R')|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}
{{Alg|(L R) F U F' U' (L' R')|F2L}}
{{Alg|F' U L' U L U2 F|F2L}}
{{Alg|R U2 B U B' U R'|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
{{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}
{{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}
{{Alg|U' R' U2 R' U R' U' R U2 R|F2L}}
{{Alg|R U' R U2 R2 U' R2 U' R2|F2L}}
If the back right slot is open:
{{Alg|U' (R' U R U') (R U R')|F2L}}
If the front left slot is open:
{{Alg|U (R U' R') D (R U' R') D'|F2L}}
{{Alg|R F U F' U' R'|F2L}}

|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}
{{Alg|(U) R (F R U R' U' F') R'|F2L}}
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}
{{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}
{{Alg|y M U' R' F R U M' y'|F2L}}
If the back right slot is open:
{{Alg|F' R' U' R U F|F2L}}

|-valign="top"
|

=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}
{{Alg|F' U' F U F' U' F U2 R U' R'|F2L}}
{{Alg|F' U' F U F' U' F U R' F R F'|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}
{{Alg|F' U2 F U F' U' F|F2L}}
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}

|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U R U2 R2 (F R F')|F2L}}
{{Alg|U (R U2 R') U (R U' R')|F2L}}
{{Alg|(R U' R' U)2 R U R'|F2L}}
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|U' F' U2 F2 (R' F' R)|F2L}}
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}
{{Alg|y' (R' U R U')2 R' U' R|F2L}}
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}
{{Alg|d' L' U2 L U' L' U L|F2L}}
{{Alg|R U R' U2 R U R' U2 F' U F|F2L}}

|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]
{{Alg|(R U' R') U2 (R U R')|F2L}}
{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|R B U2 B' R'|F2L}}
{{Alg|U2 R x' U' R U x R2'|F2L}}
{{Alg|U F R U R' U' R' F' R|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]
{{Alg|y' (R' U R) U2 (R' U' R)|F2L}}
{{Alg|F' L' U2 L F|F2L}}
{{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}
{{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}
{{Alg| r U' r' U2 r U r'|F2L}}
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}
{{Alg|d2 y' R' U' R U' R' U R|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
{{Alg|U (F R' F' R) U (R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}
{{Alg|R U' R' U' (R U R') U2 (R U R')|F2L}}
{{Alg|R2 U R' U R U2 R' U' R'|F2L}}

|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}
{{Alg|F U (R U' R' F')(R U' R')|F2L}}
{{Alg|d' (F' L F L') U' (L' U' L)|F2L}}
{{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}
{{Alg|y L2 U' L U' L' U2 L U L|F2L}}

|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|R' U' R' U' R' U R U R|F2L}}
{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|d' (L' U L) (F' L F L')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|U' M' U R U' r' (R U R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}
{{Alg|(U2) (R' U' R' U' R U R U R)|F2L}}
{{Alg|y U R' u' R U' R' U u R|F2L}}
{{Alg|U' (R' F R F') (R U R')|F2L}}
{{Alg|y' U' R' U R r' U' R U M'|F2L}}

If the back right slot is open:
{{Alg|R2 U' R' U R2|F2L}}
{{Alg|U D' R U' R' D|F2L}}

|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|y' R U R U R U' R' U' R'|F2L}}
{{Alg|(R U R' U')2 (R' F R F')2|F2L}}
{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U (R U' R') (F R' F' R)|F2L}}
{{Alg|U R U (r' R U' R' U M')|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}
{{Alg|y' (U') R U R U R2 U' R' U' R'|F2L}}
{{Alg|y' (U2) R U R U R' U' R' U' R'|F2L}}
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}
{{Alg|y (r U r' U') (r' F r F')|F2L}}
{{Alg|y U (L F' L' F) (L' U' L)|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}
{{Alg|(R U' R2)(F R F')|F2L}}
{{Alg|F' U' F U2 (R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|(R U R' U') F R' F' R |F2L}}
{{Alg|(R U R') d (R' U2 R) |F2L}}
{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|R U2 l U' R' U l'|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}
{{Alg|(F' U F2)(R' F' R)|F2L}}
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}
{{Alg|(R U' R') U' (R' F R F') (R U' R')|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
{{Alg|(R' F R F')(R' F R F')|F2L}}
{{Alg|M' U R U' r' U (R U' R')|F2L}}

|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}
{{Alg|U2 (F' U F)(R U R')|F2L}}
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
{{Alg|F2 r U r' F R U' R'|F2L}}
{{Alg|R U2 R' U' F R' F' R|F2L}}
{{Alg|R U' R B' R' B R'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|U' (R U' R') U2' (R U' R')|F2L}}
{{Alg|y U' L' U' R' U L U' R|F2L}}
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}
{{Alg|y' U' R D R' U R D' R'|F2L}}

|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U (F' U F) U2 (F' U F)|F2L}}
{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
{{Alg|y (U L' U L) U2 (L' U L)|F2L}}
{{Alg|U y F U2 R U2 R' F'|F2L}}
If the back right slot is open:
{{Alg|E' R U R' E|F2L}}
{{Alg|u' F' U F E|F2L}}

|-valign="top"
|

=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
{{Alg|U M' U R U' r' R U' R'|F2L}}
{{Alg|U' l U' R U l' U R'|F2L}}

|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
{{Alg|U F' U' F U' (R U R')|F2L}}
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}
{{Alg|y' U (R' U' R U') y (R U R')|F2L}}

|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved

|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}
If the back right slot is open:
{{Alg|R U' R2 U2 R U' F' U F|F2L}}
{{Alg|R U' R2 U2 R F R' F' R|F2L}}
{{Alg|R U' R2 U2 R U2 F' U2 F|F2L}}

|-valign="top"
|

=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}
{{Alg|R U' R' F2 L' U' L U F2|F2L}}
{{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}
{{Alg|y' R' U2 R' U' R U' R' U2 R2|F2L}}

|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
{{Alg|y' R2 U2 R U R' U R U2 R|F2L}}

|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U') (R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}
{{Alg|R F (U R U' R' F') U' R'|F2L}}
If the back right slot is open:
{{Alg|R U' R2 U' R y' R' U' R y|F2L}}

|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}
{{Alg| R U (F R U R' U' F') R'|F2L}}
If the front left slot is open:
{{Alg|y' R' U R2 U R' y R U R'|F2L}}

|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[Intuitive solving]]
* [[Advanced F2L]]
* [[ZBLS]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
=== Beginner ===
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] Uses a simple analogy method for F2L, but not comprehensive
* [https://docs.google.com/document/d/1npPMcy2Vv-jjUB7wr0gHE0rESuwUgba_D7vT2OUzvTQ/mobilebasic?pli=1 Beginner's F2L: 3 steps for every case] Excellent F2L guide covering every scenario

=== Standard ===
* [https://www.youtube.com/watch?v=Ar_Zit1VLG0 (VIDEO) Learn F2L in 6 minutes (Full Intuitive F2L Tutorial)]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto
* [https://www.speedcubingtips.eu/base-de-donnees-f2l/ Speedcubingtips.eu F2L algs]
* [https://www.speedcubingtips.eu/fl2-animes/ Speedcubingtips.eu F2L algs animated version]

=== Advanced ===
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Viktor Danilov Expert F2L (Russian language)]
* Database: [http://algs.expertcuber.by/ Website for Viktor Danilov F2L series]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]
* [https://www.speedcubingtips.eu/multislotting-resoudre-deux-f2l-ensemble/ Speedcubingtips.eu multislotting algs]
* [https://www.speedcubingtips.eu/f2l-et-empty-slots/ Speedcubingtips.eu F2L - use of empty slot algs]
* [https://www.speedcubingtips.eu/f2l-et-pieces-coincees-stuck-pieces/ Speedcubingtips.eu F2L and stuck pieces cases]

== F2L Trainers ==
[http://expertcuber.by/ ExpertCuber.by]

[[Category:3x3x3 other substeps]]

__NOTOC__

Yusheng Du

2019-06-18T15:40:47Z

Electrical:

{{Infobox
|IMAGE =
|IMAGEYEAR=
|ALIASES=
|NAME=Yusheng Du (杜宇生)
|COUNTRY=China
|BIRTHDATE=
|AGE=
|JOBS=
|YEARSACTIVE=2015-present
|ID=2015DUYU01
|FAMOUSFOR= 3.47s 3x3 Cube World Record
}}
'''Yusheng Du''' (杜宇生) is a Chinese speedcuber. At the ''Wuhu Open 2018'', on the 24th November 2018, he set a new Rubik's Cube single World Record of 3.47 seconds. This was 0.75 seconds faster than the previous record of 4.22 seconds by [[Feliks Zemdegs]].

The scramble he received was:
:F U2 L2 B2 F' U L2 U R2 D2 L' B L2 B' R2 U2

and his solution was:

z y // inspection

U R2 U' F' L F' U' L' // 2x2x3+EO

U' R U R2 U R // 1st pair

U2 R' U R // 2nd pair

U R' U' R U' R' U2 R // ZBLL

U // AUF

It had a 2x2x3 block + edge orientation and an [[antisune]] ZBLL. In effect, it was a [[Petrus method]] solve. It was his first official sub 6-second solve.

==See also==
*[[Getting lucky is not a crime]]

[[Category:Speedcubers|Du, Yushang]]

Template:Alg

2019-06-16T17:28:22Z

Electrical:

{| style="font-family: Tahoma; font-size: 110%; line-height: 100%; border: 1px solid #CCC; border-collapse: collapse;"
| style="padding: 1px 5px; background: #FFFFFF; width: 18px; border: 1px solid #CCC;" | [[Image:Speedsolving Logo tiny.gif|link=]]
| style="padding: 0px 5px; background: #F8F8F8; width: 30px; text-align: center; border: 1px solid #CCC;" | {{{stage|{{{2|Alg}}}}}}
| style="padding: 0px 5px; background: #F0F0F0; width: 375px; border: 1px solid #CCC;" | {{#if: {{{comment|}}} | {{{comment|}}}:}} [http://alg.cubing.net/?puzzle={{{puzzle|{{{cube|3x3x3}}}}}}&stage={{{stage|{{{2|full}}}}}}&type=alg&view=playback&alg={{urlencode:{{{alg|{{{1|}}}}}} |PATH}} {{{alg|{{{1|Algorithm}}}}}}]
| {{#if: {{{vidurl|}}} |style="padding: 0px 5px; background: #E8E8E8; width: 55px; border: 1px solid #CCC;"|}} | {{#if: {{{vidurl|}}} | [[Image:Cube_Camera_Icon.png|link={{{vidurl|}}}]][{{{vidurl|X}}}]|}}
|}
<noinclude>

==How to add algorithms:==

# Click the 'Edit' tab next to the case and you will have a editor for the wiki-code showing the text of the particular section you chose.
# Copy-paste the last line that is an alg; <nowiki>{{Alg|R U R U}}</nowiki>, and change the alg to your one.
# Click 'Show preview' and check everything is ok.
# Click 'Save page' and you are done!

==The template==
This is an alg template that can be used to link algorithms to an animation and, optionally, a video. The template is very flexible, and its features and functions can be modified without changing the code of the algs on all the pages.

=== Examples: ===

Basic use:

<nowiki>{{Alg|R U R' U R U2' R'}}</nowiki>

{{Alg|R U R' U R U2' R'}}

If you want, you can specify that this is the alg. If not, the first parameter is assumed to be the alg.

<nowiki>{{Alg|alg=R U R' U R U2' R'}}</nowiki>

{{Alg|R U R' U R U2' R'}}

You can specify the stage of an alg, which is by default the second parameter:

<nowiki>{{Alg| R U' R' U2 R U' R' |stage=OLL}}</nowiki>

OR

<nowiki>{{Alg| R U' R' U2 R U' R' |OLL}}</nowiki>

{{Alg|RUR'URU2R'|stage=OLL}}

Spacing in the alg does not matter:

<nowiki>{{Alg| R U R' U' R' F R2 U' R' U' R U R' F' | PLL}}</nowiki>

{{Alg | R U R' U' R' F R2 U' R' U' R U R' F' |PLL}}

You can link to a video (currently, only a single video):

<nowiki>{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|vidurl=http://www.youtube.com/watch?v=kD4SCn60jrc}}</nowiki>

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|vidurl=http://www.youtube.com/watch?v=kD4SCn60jrc}}

</noinclude>

First Two Layers

2019-06-15T10:08:24Z

Electrical:

<seo title="First Two Layers (F2L) of Fridrich Speedcubing Method" metak="f2l algs, f2l, first two layers, f2l algorithms, speedcubing" />
{{Substep Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=First Two Layers
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|subgroup=<nowiki><U,R,L,F,B,D></nowiki>
|algs=0 to 41; hundreds more with [[Advanced F2L]]
|moves=6.7 [[HTM]] per slot; ~26.8 [[HTM]] per four slots
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[Cross cube state]]
|next=[[F2L cube state]]
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]

}}
'''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. Usually, it refers to the part of the [[CFOP]] and [[CFCE]] methods that solve the first two layers in [[pair]]s, excluding the [[cross]] step.

[[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 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 ('''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 by [[René Schoof]] in 1981.

----

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}

|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|U' (F' U F)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}
{{Alg|(U2) l R U' R' U l'|F2L}}
{{Alg|(U2) l2 F' l' U l'|F2L}}
{{Alg|(U') F R' F' R2 U' R'|F2L}}
{{Alg|F l' U' l|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{alg|F' U' F|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
{{Alg|U r' R2 U' R' U M'|F2L}}

|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}
{{Alg|(U2) L (R U' R') U L'|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}
{{Alg|F2 (L' U' L U) F2|F2L}}
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}
{{Alg|U' (R U R') U' R U2 R'|F2L}}
If the front left slot is open:
{{Alg|U F' R' F' R F|F2L}}
If the back right slot is open:
{{Alg|U R F R' F' R'|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}
{{Alg|R2 (B U B' U') R2|F2L}}
{{Alg|y F2 (R U R' U') F2|F2L}}
If the front left slot is open:
{{Alg|U' F' R' F R F|F2L}}
If the back right slot is open:
{{Alg|U' R F R F' R'|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}
{{Alg|(U' R U2 R')2|F2L}}
{{Alg|M' U' M U2 r U' r'|F2L}}
{{Alg|R U B U2 B' U R'|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(U F' U2 F)2|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}
{{Alg|y' R' U' F' U2 F U' R|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|U' R U' R' d R' U' R |F2L}}
{{Alg|d (R' U' R U') (R' U' R)|F2L}}
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}
{{Alg|U r U R' U' R2 r' U' R'|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
{{Alg|F (R U R' U') F' R U' R'|F2L}}
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}
{{Alg|y F2 (U R U' R') F2|F2L}}
If the back right slot is open:
{{Alg|R' U' R F' U' F|F2L}}
If the front left slot is open:
{{Alg|F U' F2' U' F|F2L}}

|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d' R U R' U2 F'|F2L}}
{{Alg|U F' U F U' R U R'|F2L}}
{{Alg|d R' U R d' R U R'|F2L}}
{{Alg|y2 B2 (U' R' U R) B2|F2L}}
If the front left slot is open:
{{Alg|F U F' R U R'|F2L}}
If the back right slot is open:
{{Alg|R' U R2 U R'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|U' (R U2' R') U (F' U' F)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}
{{Alg|U' l F U' R U l' U R'|F2L}}
|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}
{{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}
If the back right slot is open:
{{Alg|R' U2 R2 U R'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U') (R' U' R)|F2L}}
{{Alg|y' U (R' U R U') (R' U' R)|F2L}}
{{Alg|(U F' U F) U' (F' U' F)|F2L}}
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}
{{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}
If the back right slot is open:
{{Alg|R' U R F' U' F|F2L}}

|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U) (R U R')|F2L}}
{{Alg|d' F U' F' d R U R'|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|R B L U' L' B' R'|F2L}}
{{Alg|(F' U F) U2 (R U R')|F2L}}
{{Alg|U (R' F R F') U (R U R')|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}
{{Alg|(L R) F U F' U' (L' R')|F2L}}
{{Alg|F' U L' U L U2 F|F2L}}
{{Alg|R U2 B U B' U R'|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
{{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}
{{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}
{{Alg|U' R' U2 R' U R' U' R U2 R|F2L}}
{{Alg|R U' R U2 R2 U' R2 U' R2|F2L}}
If the back right slot is open:
{{Alg|U' (R' U R U') (R U R')|F2L}}
If the front left slot is open:
{{Alg|U (R U' R') D (R U' R') D'|F2L}}
{{Alg|R F U F' U' R'|F2L}}

|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}
{{Alg|(U) R (F R U R' U' F') R'|F2L}}
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}
{{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}
{{Alg|y M U' R' F R U M' y'|F2L}}
If the back right slot is open:
{{Alg|F' R' U' R U F|F2L}}

|-valign="top"
|

=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}
{{Alg|F' U' F U F' U' F U2 R U' R'|F2L}}
{{Alg|F' U' F U F' U' F U R' F R F'|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}
{{Alg|F' U2 F U F' U' F|F2L}}
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}

|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U R U2 R2 (F R F')|F2L}}
{{Alg|U (R U2 R') U (R U' R')|F2L}}
{{Alg|(R U' R' U)2 R U R'|F2L}}
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|U' F' U2 F2 (R' F' R)|F2L}}
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}
{{Alg|y' (R' U R U')2 R' U' R|F2L}}
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}
{{Alg|d' L' U2 L U' L' U L|F2L}}
{{Alg|R U R' U2 R U R' U2 F' U F|F2L}}

|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]
{{Alg|(R U' R') U2 (R U R')|F2L}}
{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|R B U2 B' R'|F2L}}
{{Alg|U2 R x' U' R U x R2'|F2L}}
{{Alg|U F R U R' U' R' F' R|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]
{{Alg|y' (R' U R) U2 (R' U' R)|F2L}}
{{Alg|F' L' U2 L F|F2L}}
{{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}
{{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}
{{Alg| r U' r' U2 r U r'|F2L}}
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}
{{Alg|d2 y' R' U' R U' R' U R|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
{{Alg|U (F R' F' R) U (R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}
{{Alg|R U' R' U' (R U R') U2 (R U R')|F2L}}
{{Alg|R2 U R' U R U2 R' U' R'|F2L}}

|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}
{{Alg|F U (R U' R' F')(R U' R')|F2L}}
{{Alg|d' (F' L F L') U' (L' U' L)|F2L}}
{{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}
{{Alg|y L2 U' L U' L' U2 L U L|F2L}}

|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|R' U' R' U' R' U R U R|F2L}}
{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|d' (L' U L) (F' L F L')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|U' M' U R U' r' (R U R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}
{{Alg|(U2) (R' U' R' U' R U R U R)|F2L}}
{{Alg|y U R' u' R U' R' U u R|F2L}}
{{Alg|U' (R' F R F') (R U R')|F2L}}
{{Alg|y' U' R' U R r' U' R U M'|F2L}}

If the back right slot is open:
{{Alg|R2 U' R' U R2|F2L}}
{{Alg|U D' R U' R' D|F2L}}

|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|y' R U R U R U' R' U' R'|F2L}}
{{Alg|(R U R' U')2 (R' F R F')2|F2L}}
{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U (R U' R') (F R' F' R)|F2L}}
{{Alg|U R U (r' R U' R' U M')|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}
{{Alg|y' (U') R U R U R2 U' R' U' R'|F2L}}
{{Alg|y' (U2) R U R U R' U' R' U' R'|F2L}}
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}
{{Alg|y (r U r' U') (r' F r F')|F2L}}
{{Alg|y U (L F' L' F) (L' U' L)|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}
{{Alg|(R U' R2)(F R F')|F2L}}
{{Alg|F' U' F U2 (R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|(R U R' U') F R' F' R |F2L}}
{{Alg|(R U R') d (R' U2 R) |F2L}}
{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|R U2 l U' R' U l'|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}
{{Alg|(F' U F2)(R' F' R)|F2L}}
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}
{{Alg|(R U' R') U' (R' F R F') (R U' R')|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
{{Alg|(R' F R F')(R' F R F')|F2L}}
{{Alg|M' U R U' r' U (R U' R')|F2L}}

|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}
{{Alg|U2 (F' U F)(R U R')|F2L}}
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
{{Alg|F2 r U r' F R U' R'|F2L}}
{{Alg|R U2 R' U' F R' F' R|F2L}}
{{Alg|R U' R B' R' B R'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|U' (R U' R') U2' (R U' R')|F2L}}
{{Alg|y U' L' U' R' U L U' R|F2L}}
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}
{{Alg|y' U' R D R' U R D' R'|F2L}}

|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U (F' U F) U2 (F' U F)|F2L}}
{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
{{Alg|y (U L' U L) U2 (L' U L)|F2L}}
{{Alg|U y F U2 R U2 R' F'|F2L}}
If the back right slot is open:
{{Alg|E' R U R' E|F2L}}
{{Alg|u' F' U F E|F2L}}

|-valign="top"
|

=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
{{Alg|U M' U R U' r' R U' R'|F2L}}
{{Alg|U' l U' R U l' U R'|F2L}}

|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
{{Alg|U F' U' F U' (R U R')|F2L}}
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}
{{Alg|y' U (R' U' R U') y (R U R')|F2L}}

|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved

|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}
If the back right slot is open:
{{Alg|R U' R2 U2 R U' F' U F|F2L}}
{{Alg|R U' R2 U2 R F R' F' R|F2L}}
{{Alg|R U' R2 U2 R U2 F' U2 F|F2L}}

|-valign="top"
|

=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}
{{Alg|R U' R' F2 L' U' L U F2|F2L}}
{{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}
{{Alg|y' R' U2 R' U' R U' R' U2 R2|F2L}}

|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
{{Alg|y' R2 U2 R U R' U R U2 R|F2L}}

|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U') (R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}
{{Alg|R F (U R U' R' F') U' R'|F2L}}
If the back right slot is open:
{{Alg|R U' R2 U' R y' R' U' R y|F2L}}

|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}
{{Alg| R U (F R U R' U' F') R'|F2L}}
If the front left slot is open:
{{Alg|y' R' U R2 U R' y R U R'|F2L}}

|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[Intuitive solving]]
* [[Advanced F2L]]
* [[ZBLS]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
=== Beginner ===
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] Uses a simple analogy method for F2L, but not comprehensive
* [https://docs.google.com/document/d/1npPMcy2Vv-jjUB7wr0gHE0rESuwUgba_D7vT2OUzvTQ/mobilebasic?pli=1 Beginner's F2L: 3 steps for every case] Excellent F2L guide covering every scenario

=== Standard ===
* [https://www.youtube.com/watch?v=Ar_Zit1VLG0 (VIDEO) Learn F2L in 6 minutes (Full Intuitive F2L Tutorial)]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

=== Advanced ===
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Viktor Danilov Expert F2L (Russian language)]
* Database: [http://algs.expertcuber.by/ Website for Viktor Danilov F2L series]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]

== F2L Trainers ==
[http://expertcuber.by/ ExpertCuber.by]

[[Category:3x3x3 other substeps]]

__NOTOC__

First Two Layers

2019-06-15T10:07:19Z

Electrical:

<seo title="First Two Layers (F2L) of Fridrich Speedcubing Method" metak="f2l algs, f2l, first two layers, f2l algorithms, speedcubing" />
{{Substep Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=First Two Layers
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|subgroup=<nowiki><U,R,L,F,B,D></nowiki>
|algs=0 to 41; hundreds more with [[Advanced F2L]]
|moves=6.7 [[HTM]] per slot; ~26.8 [[HTM]] per four slots
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[Cross cube state]]
|next=[[F2L cube state]]
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]

}}
'''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. Usually, it refers to the part of the [[CFOP]] and [[CFCE]] methods that solve the first two layers in [[pair]]s, excluding the [[cross]] step.

[[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 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 ('''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 by [[René Schoof]] in 1981.

----

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}

|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|U' (F' U F)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}
{{Alg|(U2) l R U' R' U l'|F2L}}
{{Alg|(U2) l2 F' l' U l'|F2L}}
{{Alg|(U') F R' F' R2 U' R'|F2L}}
{{Alg|F l' U' l|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{alg|F' U' F|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
{{Alg|U r' R2 U' R' U M'|F2L}}

|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}
{{Alg|(U2) L (R U' R') U L'|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}
{{Alg|F2 (L' U' L U) F2|F2L}}
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}
{{Alg|U' (R U R') U' R U2 R'|F2L}}
If the front left slot is open:
{{Alg|U F' R' F' R F|F2L}}
If the back right slot is open:
{{Alg|U R F R' F' R'|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}
{{Alg|R2 (B U B' U') R2|F2L}}
{{Alg|y F2 (R U R' U') F2|F2L}}
If the front left slot is open:
{{Alg|U' F' R' F R F|F2L}}
If the back right slot is open:
{{Alg|U' R F R F' R'|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}
{{Alg|(U' R U2 R')2|F2L}}
{{Alg|M' U' M U2 r U' r'|F2L}}
{{Alg|R U B U2 B' U R'|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(U F' U2 F)2|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}
{{Alg|y' R' U' F' U2 F U' R|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|U' R U' R' d R' U' R |F2L}}
{{Alg|d (R' U' R U') (R' U' R)|F2L}}
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}
{{Alg|U r U R' U' R2 r' U' R'|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
{{Alg|F (R U R' U') F' R U' R'|F2L}}
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}
{{Alg|y F2 (U R U' R') F2|F2L}}
If the back right slot is open:
{{Alg|R' U' R F' U' F|F2L}}
If the front left slot is open:
{{Alg|F U' F2' U' F|F2L}}

|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d' R U R' U2 F'|F2L}}
{{Alg|U F' U F U' R U R'|F2L}}
{{Alg|d R' U R d' R U R'|F2L}}
{{Alg|y2 B2 (U' R' U R) B2|F2L}}
If the front left slot is open:
{{Alg|F U F' R U R'|F2L}}
If the back right slot is open:
{{Alg|R' U R2 U R'|F2L}}

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|U' (R U2' R') U (F' U' F)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}
{{Alg|U' l F U' R U l' U R'|F2L}}
|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}
{{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}
If the back right slot is open:
{{Alg|R' U2 R2 U R'|F2L}}

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U') (R' U' R)|F2L}}
{{Alg|y' U (R' U R U') (R' U' R)|F2L}}
{{Alg|(U F' U F) U' (F' U' F)|F2L}}
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}
{{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}
If the back right slot is open:
{{Alg|R' U R F' U' F|F2L}}

|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U) (R U R')|F2L}}
{{Alg|d' F U' F' d R U R'|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|R B L U' L' B' R'|F2L}}
{{Alg|(F' U F) U2 (R U R')|F2L}}
{{Alg|U (R' F R F') U (R U R')|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}
{{Alg|(L R) F U F' U' (L' R')|F2L}}
{{Alg|F' U L' U L U2 F|F2L}}
{{Alg|R U2 B U B' U R'|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
{{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}
{{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}
{{Alg|U' R' U2 R' U R' U' R U2 R|F2L}}
{{Alg|R U' R U2 R2 U' R2 U' R2|F2L}}
If the back right slot is open:
{{Alg|U' (R' U R U') (R U R')|F2L}}
If the front left slot is open:
{{Alg|U (R U' R') D (R U' R') D'|F2L}}
{{Alg|R F U F' U' R'|F2L}}

|

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}
{{Alg|(U) R (F R U R' U' F') R'|F2L}}
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}
{{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}
{{Alg|y M U' R' F R U M' y'|F2L}}
If the back right slot is open:
{{Alg|F' R' U' R U F|F2L}}

|-valign="top"
|

=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}
{{Alg|F' U' F U F' U' F U2 R U' R'|F2L}}
{{Alg|F' U' F U F' U' F U R' F R F'|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}
{{Alg|F' U2 F U F' U' F|F2L}}
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}

|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U R U2 R2 (F R F')|F2L}}
{{Alg|U (R U2 R') U (R U' R')|F2L}}
{{Alg|(R U' R' U)2 R U R'|F2L}}
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|U' F' U2 F2 (R' F' R)|F2L}}
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}
{{Alg|y' (R' U R U')2 R' U' R|F2L}}
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}
{{Alg|d' L' U2 L U' L' U L|F2L}}
{{Alg|R U R' U2 R U R' U2 F' U F|F2L}}

|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]
{{Alg|(R U' R') U2 (R U R')|F2L}}
{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|R B U2 B' R'|F2L}}
{{Alg|U2 R x' U' R U x R2'|F2L}}
{{Alg|U F R U R' U' R' F' R|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]
{{Alg|y' (R' U R) U2 (R' U' R)|F2L}}
{{Alg|F' L' U2 L F|F2L}}
{{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}
{{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}
{{Alg| r U' r' U2 r U r'|F2L}}
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}
{{Alg|d2 y' R' U' R U' R' U R|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
{{Alg|U (F R' F' R) U (R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}
{{Alg|R U' R' U' (R U R') U2 (R U R')|F2L}}
{{Alg|R2 U R' U R U2 R' U' R'|F2L}}

|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}
{{Alg|F U (R U' R' F')(R U' R')|F2L}}
{{Alg|d' (F' L F L') U' (L' U' L)|F2L}}
{{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}
{{Alg|y L2 U' L U' L' U2 L U L|F2L}}

|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|R' U' R' U' R' U R U R|F2L}}
{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|d' (L' U L) (F' L F L')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|U' M' U R U' r' (R U R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}
{{Alg|(U2) (R' U' R' U' R U R U R)|F2L}}
{{Alg|y U R' u' R U' R' U u R|F2L}}
{{Alg|U' (R' F R F') (R U R')|F2L}}
{{Alg|y' U' R' U R r' U' R U M'|F2L}}

If the back right slot is open:
{{Alg|R2 U' R' U R2|F2L}}
{{Alg|U D' R U' R' D|F2L}}

|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|y' R U R U R U' R' U' R'|F2L}}
{{Alg|(R U R' U)2 (R' F R F')2|F2L}}
{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U (R U' R') (F R' F' R)|F2L}}
{{Alg|U R U (r' R U' R' U M')|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}
{{Alg|y' (U') R U R U R2 U' R' U' R'|F2L}}
{{Alg|y' (U2) R U R U R' U' R' U' R'|F2L}}
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}
{{Alg|y (r U r' U') (r' F r F')|F2L}}
{{Alg|y U (L F' L' F) (L' U' L)|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}
{{Alg|(R U' R2)(F R F')|F2L}}
{{Alg|F' U' F U2 (R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|(R U R' U') F R' F' R |F2L}}
{{Alg|(R U R') d (R' U2 R) |F2L}}
{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|R U2 l U' R' U l'|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}
{{Alg|(F' U F2)(R' F' R)|F2L}}
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}
{{Alg|(R U' R') U' (R' F R F') (R U' R')|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
{{Alg|(R' F R F')(R' F R F')|F2L}}
{{Alg|M' U R U' r' U (R U' R')|F2L}}

|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}
{{Alg|U2 (F' U F)(R U R')|F2L}}
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
{{Alg|F2 r U r' F R U' R'|F2L}}
{{Alg|R U2 R' U' F R' F' R|F2L}}
{{Alg|R U' R B' R' B R'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|U' (R U' R') U2' (R U' R')|F2L}}
{{Alg|y U' L' U' R' U L U' R|F2L}}
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}
{{Alg|y' U' R D R' U R D' R'|F2L}}

|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U (F' U F) U2 (F' U F)|F2L}}
{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
{{Alg|y (U L' U L) U2 (L' U L)|F2L}}
{{Alg|U y F U2 R U2 R' F'|F2L}}
If the back right slot is open:
{{Alg|E' R U R' E|F2L}}
{{Alg|u' F' U F E|F2L}}

|-valign="top"
|

=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
{{Alg|U M' U R U' r' R U' R'|F2L}}
{{Alg|U' l U' R U l' U R'|F2L}}

|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
{{Alg|U F' U' F U' (R U R')|F2L}}
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}
{{Alg|y' U (R' U' R U') y (R U R')|F2L}}

|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved

|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}
If the back right slot is open:
{{Alg|R U' R2 U2 R U' F' U F|F2L}}
{{Alg|R U' R2 U2 R F R' F' R|F2L}}
{{Alg|R U' R2 U2 R U2 F' U2 F|F2L}}

|-valign="top"
|

=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}
{{Alg|R U' R' F2 L' U' L U F2|F2L}}
{{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}
{{Alg|y' R' U2 R' U' R U' R' U2 R2|F2L}}

|

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}
{{Alg|y' R2 U2 R U R' U R U2 R|F2L}}

|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U') (R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}
{{Alg|R F (U R U' R' F') U' R'|F2L}}
If the back right slot is open:
{{Alg|R U' R2 U' R y' R' U' R y|F2L}}

|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}
{{Alg| R U (F R U R' U' F') R'|F2L}}
If the front left slot is open:
{{Alg|y' R' U R2 U R' y R U R'|F2L}}

|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[Intuitive solving]]
* [[Advanced F2L]]
* [[ZBLS]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
=== Beginner ===
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] Uses a simple analogy method for F2L, but not comprehensive
* [https://docs.google.com/document/d/1npPMcy2Vv-jjUB7wr0gHE0rESuwUgba_D7vT2OUzvTQ/mobilebasic?pli=1 Beginner's F2L: 3 steps for every case] Excellent F2L guide covering every scenario

=== Standard ===
* [https://www.youtube.com/watch?v=Ar_Zit1VLG0 (VIDEO) Learn F2L in 6 minutes (Full Intuitive F2L Tutorial)]
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

=== Advanced ===
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Viktor Danilov Expert F2L (Russian language)]
* Database: [http://algs.expertcuber.by/ Website for Viktor Danilov F2L series]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]

== F2L Trainers ==
[http://expertcuber.by/ ExpertCuber.by]

[[Category:3x3x3 other substeps]]

__NOTOC__

Superflip

2019-06-07T19:35:31Z

Electrical:

[[Image:Superflip.png|frame|The superflip.]]

The '''superflip''' is a famous position of the [[3x3x3]] where all corners are solved, and all edges are in the correct location but flipped. Despite its symmetry, this is an extremely difficult pattern, which is known to require 20 moves [[HTM]] to solve (in fact it was the first position that was proven to require that many moves). No position exists that requires more than 20 moves (see [[God's Number]]).

The superflip also has a few interesting properties because of the way it interacts with the [[Rubik's Cube Group]]. If you do a [[commutator]] with the superflip and any other algorithm, you will always end up back at the solved state; the superflip is also self-inverse, which means doing it twice will bring you back to the solved state. Also, because the superflip is completely symmetrical but not solved, any move will bring it to a position that is easier to solve.

One optimal solution in HTM for the superflip is
{{Alg|U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2|HTM}}
The superflip also requires a minimum of 24 quarter turns to solve, and a minimum of 16 slice turns. One example of an optimal solution which requires 16 slice turns is
{{Alg|S U B2 D2 M D' M2 S U R2 D M2 U B2 U S2|STM}}
Another solution which requires 24 turns with [[STM]] is
{{Alg|M U' M U' M U' M U' y z' M U' M U' M U' M U' y z' M U' M U' M U' M U' y z'|STM}}
This is particularly easy to remember, as it is simply (M U')x4 followed by a y z', which is repeated three times.

== See also ==
* [[Super Twist]]
* [[God's Number]]
* [[Puzzle theory]]
* [[List of pretty patterns]]

[[Category:Puzzle theory]]
[[Category:Algorithms]]

Sune

2019-06-07T14:52:42Z

Electrical:

{{Named Alg Infobox
|name=Sune
|image=Suneinfo.png
|description=
|proposers=[[Lars Petrus]]
|year=
|anames=Anti-Chair
|variants=
|moves=7 [[HTM]]
|purpose=
* [[Speedsolving]]
}}

'''Sune''' is the most widely recognized name for the [[OLL]] case in which the edges are oriented and three corners are twisted counterclockwise, and also for the algorithm which solves it.

== Name ==
The term was coined by [[Lars Petrus]] for [[Petrus|his method]]. Sune is a male name in Sweden and is an iron age form for 'the son'; in modern Swedish that is 'sonen'. It is pronounced "soon-eh" ([suːnɛ]), but in cubing it has become far more common to be pronounced "soon" ([suːn]).

== Algorithm ==
The Sune is a [[2-gen]] [[algorithm]] that affects the [[LL|last layer]] of a [[3x3x3|Rubik's Cube]], and can be applied to other [[puzzle]]s. It is most canonically written as {{Alg|R U R' U R U2 R'}}

The Sune can be written as a pure [[commutator]], but is most commonly recognized as a [[conjugate]]d commutator or a sequence of two commutators.

== Variants ==
* '''Anti-Sune''' {{Alg|R U2 R' U' R U' R'}}
* '''Fat Sune''' {{Alg|r U R' U R U2 r'}}
* '''Fat Anti-Sune''' {{Alg|r U2 R' U' R U' r'}}
* '''Double Sune''' {{Alg|R U R' U R U' R' U R U2 R'}}
* '''Super Sune''' {{Alg|R2 U R2' U R2 U2 R2'}}

== An alternative name: the Anti-Chair ==
Anti-Sune is also known as the '''chair'''. This is because of a famous [[beginner]] [[mnemonic device]]. This mnemonic device consists into repeating this little story: "He stands up ''(R)'', goes far away ''(U2)'', his chair falls ''(R')'', he comes back next to his chair ''(U')'', he straightens his chair ''(R)'', he goes back on his chair ''(U')'' and he sits down ''(R')''." Logically, as Anti-Sune is also called Chair, Anti-Chair is an alternative name of Sune.

== See also ==
* [[Petrus Method]]
* [[OCLL]]
* [[List of named algorithms]]

== External links ==
* [http://lar5.com/cube/fas6.html Petrus Method Step 6]

[[Category:Algorithms]]

File:Visualcube.png

2019-06-03T19:07:16Z

Electrical: Electrical uploaded a new version of File:Visualcube.png

List of pretty patterns

2019-05-21T15:12:17Z

Electrical:

A pretty pattern is an aesthetic state of a puzzle. Some cubers create and share pretty patterns for amusement.

==Examples of Simple Pretty Patterns==
===3x3x3 Cube===
{{Alg|M2 S2 E2}}
{{Alg|R2 L2 F2 B2 U2 D2}}

M2 E2 S2 - "Pons Asinorum", creates a checkerboard pattern on each face.

{{Alg|M2 S2 E2}}

M S M' S' - "6-Spot", moves all six center pieces around.

{{Alg|M S M' S}}
{{Alg|(M z)4}}

M2 S M2 S' - "4-Spot", moves four of the center pieces around.

{{Alg|M2 S M2 S'}}

(L2 F2 R2 B2)3 - creates a checkerboard on two opposite faces.

{{Alg|L2 F2 R2 B2 L2 F2 R2 B2 L2 F2 R2 B2}}

U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 - [[superflip]], flips all edges on the cube without affecting anything else.

{{Alg|U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2}}
{{Alg|((M' U)4 x' z)3}}

(M U M U M U M U X Y')3 - easier version of superflip

{{Alg|M U M U M U M U X Y' M U M U M U M U X Y' M U M U M U M U X Y'}}

U2 B2 U2 B2 L R F2 D2 F2 U2 L' R' - Creates the 'Speedsolving.com' logo on a physical cube. Doing the algorithm again re-solves the cube.

{{Alg|U2 B2 U2 B2 L R F2 D2 F2 U2 L' R'}}

===2x2x2 Cube===
Some patterns can be found easily just by doing a combination of 180 degree twists.

R2 F2 R2 U2 - creates a checkerboard pattern on four faces.

F2 R2 U2 F2 - creates a striped pattern on each face.

F2 R2 F2 - creates stripes on four of the faces. (This is also a [[PBL]] case.)

F2 R2 U' F' U R' U2 R U' F' - creates a 'cube in a cube' effect.

===4x4x4 Cube===
Create a checkerboard pattern on 4 faces.
{{Alg|3Rw2 Rw2' R2 3Fw2 2Fw2' F2 3Rw2 Rw2' R2 3Dw2 Dw2' D2|cube=4x4x4}}

===5x5x5 Cube===
Create a checkerboard pattern on 4 faces.
{{Alg|2Rw2 2Bw2 M2 2Fw2 2Lw2 E2 R2 B2 m2 F2 L2 e2|cube=5x5x5}}

Create a checkerboard pattern on 6 faces.
{{Alg|4Rw2 3Rw2' Rw2 R2' 4Fw2 3Fw2' 2Fw2 F2' 4Dw2 3Dw2' Dw2 D2'|cube=5x5x5}}

===Higher Order Cubes===
Create a checkerboard pattern on 4 faces.
{{Alg|5Rw2 4Rw2' 3Rw2 Rw2' R2 5Fw2 4Fw2' 3Fw2 2Fw2' F2 5Rw2 4Rw2' 3Rw2 Rw2' R2 5Dw2 4Dw2' 3Dw2 Dw2' D2|cube=6x6x6|comment=6x6x6}}
{{Alg|3Rw2 3Bw2 M2 3Fw2 3Lw2 E2 2Rw2 2Bw2 (5Rw2 2Rw2') 2Fw2 2Lw2 (5Dw2 2Dw2') R2 B2 m2 F2 L2 e2 z2|cube=7x7x7|comment=7x7x7}}
{{Alg|7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Fw2 6Fw2' 5Fw2 4Fw2' 3Fw2 2Fw2' F2 7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Dw2 6Dw2' 5Dw2 4Dw2' 3Dw2 Dw2' D2|cube=8x8x8|comment=8x8x8}}
{{Alg|4Rw2 4Bw2 M2 4Fw2 4Lw2 E2 3Rw2 3Bw2 (6Rw2 3Rw2') 3Fw2 3Lw2 (6Dw2 3Dw2') 2Rw2 2Bw2 (7Rw2 2Rw2') 2Fw2 2Lw2 (7Dw2 2Dw2') R2 B2 m2 F2 L2 e2|cube=9x9x9|comment=9x9x9}}

===Other Puzzles===
Pretty patterns are possible for every puzzle, but for some puzzles (such as [[Megaminx]]) the algorithms to create them would be so long and unwieldy that pattern creators do not even try to create them. In these cases it is necessary to just solve the puzzle into the required pattern, which is in fact one possible way to create any pattern on any puzzle.

== External links ==
* [http://www.randelshofer.ch/rubik/patterns.html More examples of pretty patterns]
* [http://www.twistypuzzles.com/forum/viewtopic.php?t=10244 A TwistyPuzzles topic with patterns for the 6x6x6 and 7x7x7]
* [http://www.math.ucf.edu/~reid/Rubik/patterns.html]

[[Category:Concepts and knowledge]]
[[Category:Lists|pretty patterns]]

Template:U-PLL(a)

2019-05-21T14:42:46Z

Electrical: /* U Permutation : a */

===U Permutation : a===
{{case
|image=u1.gif
|name=U-PLL a
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]
|optimal=9 [[HTM]], 7 [[STM]]
|text=
}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL|vidurl=http://www.youtube.com/watch?v=AR8yc9Ljgkw}}
{{Alg|R U R' U R' U' R2 U' R' U R' U R|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|(y') M2 u' M u2 M u' M2|PLL}}
{{Alg|(y) M2 u' M' u2 M' u' M2|PLL}}
{{Alg|(y2) F2 U' (L R') F2 (L' R) U' F2|PLL}}
{{Alg|(y2) F2 U' M' U2 M U' F2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|r U R' U R' U' R2 U' r' U R' U R|PLL}}

List of pretty patterns

2019-05-10T16:31:25Z

Electrical: Added a new algorithm for the six spots pattern.

A pretty pattern is an aesthetic state of a puzzle. Some cubers create and share pretty patterns for amusement.

==Examples of Simple Pretty Patterns==
===3x3x3 Cube===
{{Alg|M2 S2 E2}}
{{Alg|R2 L2 F2 B2 U2 D2}}

M2 E2 S2 - "Pons Asinorum", creates a checkerboard pattern on each face.

{{Alg|M2 S2 E2}}

M S M' S' - "6-Spot", moves all six center pieces around.

{{Alg|M S M' S}}
{{Alg|(M z)4}}

M2 S M2 S' - "4-Spot", moves four of the center pieces around.

{{Alg|M2 S M2 S'}}

(L2 F2 R2 B2)3 - creates a checkerboard on two opposite faces.

{{Alg|L2 F2 R2 B2 L2 F2 R2 B2 L2 F2 R2 B2}}

U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 - [[superflip]], flips all edges on the cube without affecting anything else.

{{Alg|U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2}}

(M U M U M U M U X Y')3 - easier version of superflip

{{Alg|M U M U M U M U X Y' M U M U M U M U X Y' M U M U M U M U X Y'}}

U2 B2 U2 B2 L R F2 D2 F2 U2 L' R' - Creates the 'Speedsolving.com' logo on a physical cube. Doing the algorithm again re-solves the cube.

{{Alg|U2 B2 U2 B2 L R F2 D2 F2 U2 L' R'}}

===2x2x2 Cube===
Some patterns can be found easily just by doing a combination of 180 degree twists.

R2 F2 R2 U2 - creates a checkerboard pattern on four faces.

F2 R2 U2 F2 - creates a striped pattern on each face.

F2 R2 F2 - creates stripes on four of the faces. (This is also a [[PBL]] case.)

F2 R2 U' F' U R' U2 R U' F' - creates a 'cube in a cube' effect.

===4x4x4 Cube===
Create a checkerboard pattern on 4 faces.
{{Alg|3Rw2 Rw2' R2 3Fw2 2Fw2' F2 3Rw2 Rw2' R2 3Dw2 Dw2' D2|cube=4x4x4}}

===5x5x5 Cube===
Create a checkerboard pattern on 4 faces.
{{Alg|2Rw2 2Bw2 M2 2Fw2 2Lw2 E2 R2 B2 m2 F2 L2 e2|cube=5x5x5}}

Create a checkerboard pattern on 6 faces.
{{Alg|4Rw2 3Rw2' Rw2 R2' 4Fw2 3Fw2' 2Fw2 F2' 4Dw2 3Dw2' Dw2 D2'|cube=5x5x5}}

===Higher Order Cubes===
Create a checkerboard pattern on 4 faces.
{{Alg|5Rw2 4Rw2' 3Rw2 Rw2' R2 5Fw2 4Fw2' 3Fw2 2Fw2' F2 5Rw2 4Rw2' 3Rw2 Rw2' R2 5Dw2 4Dw2' 3Dw2 Dw2' D2|cube=6x6x6|comment=6x6x6}}
{{Alg|3Rw2 3Bw2 M2 3Fw2 3Lw2 E2 2Rw2 2Bw2 (5Rw2 2Rw2') 2Fw2 2Lw2 (5Dw2 2Dw2') R2 B2 m2 F2 L2 e2 z2|cube=7x7x7|comment=7x7x7}}
{{Alg|7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Fw2 6Fw2' 5Fw2 4Fw2' 3Fw2 2Fw2' F2 7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Dw2 6Dw2' 5Dw2 4Dw2' 3Dw2 Dw2' D2|cube=8x8x8|comment=8x8x8}}
{{Alg|4Rw2 4Bw2 M2 4Fw2 4Lw2 E2 3Rw2 3Bw2 (6Rw2 3Rw2') 3Fw2 3Lw2 (6Dw2 3Dw2') 2Rw2 2Bw2 (7Rw2 2Rw2') 2Fw2 2Lw2 (7Dw2 2Dw2') R2 B2 m2 F2 L2 e2|cube=9x9x9|comment=9x9x9}}

===Other Puzzles===
Pretty patterns are possible for every puzzle, but for some puzzles (such as [[Megaminx]]) the algorithms to create them would be so long and unwieldy that pattern creators do not even try to create them. In these cases it is necessary to just solve the puzzle into the required pattern, which is in fact one possible way to create any pattern on any puzzle.

== External links ==
* [http://www.randelshofer.ch/rubik/patterns.html More examples of pretty patterns]
* [http://www.twistypuzzles.com/forum/viewtopic.php?t=10244 A TwistyPuzzles topic with patterns for the 6x6x6 and 7x7x7]
* [http://www.math.ucf.edu/~reid/Rubik/patterns.html]

[[Category:Concepts and knowledge]]
[[Category:Lists|pretty patterns]]