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UEF8E

2019-08-03T13:34:32Z

戴胜:

'''UEF8E''' is a method for pairing the first eight edges. By using U2, the solver can avoid cube rotation and using flipping algorithm( F' L F U L2 U' etc. ).

[https://alg.cubing.net/?puzzle=6x6x6&setup=3Lw-_Lw-_3Bw-_Bw-_3Uw_Dw2_F_D2_F-_Uw2_3Uw2_Dw-_L_D2_L-_Uw-_3Uw_Dw2_B-_U-_B_Uw2_3Uw_Dw-_R_U-_R-_Uw2_3Uw_Dw_B-_D_B_Uw-_3Uw-_Dw_R-_U-_R_Uw_R_U-_R-_Uw-_3Uw-_Dw-_B_D2_B-_Dw_D_3Bw_Bw_Lw_U2_3Lw-_U2_3Lw-_U2_3Lw-_U2_3Lw-&alg=x-_U-_L-_U_Lw-_U_R2_U_Lw_U-_L_U_Lw-_U2_3Lw2_Lw-_U2_Lw_U-_R-_U2_L2_U_3Lw-_R-_U_R_U-_R2_3Lw2_U-_L-_U_3Lw-_U-_L-_U-_3Lw_U2_3Lw2_Lw_U-_L_U-_3Lw-_Lw2_U2_3Lw2_U-_L2_U-_3Lw2_Lw_U_L_U_3Lw_Lw-_U_L-_U-_3Lw2_U2_3Lw_U2_3Lw2_Lw_U2_Lw2_U2_Lw example solve]
== Center Resolving ==
1. Inner center

2. Outer center

[[File:Resolve_center.png]]

0 uufd Lw' ubuf Lw2 udbu Lw ufdb U2 Lw' buuf U2 Lw2 dubu U2 Lw fudb Lw' U2 Lw' bduu Lw' U2 Lw2 dfub Lw' U2 Lw fuud Lw2 U2 Lw' bfdu Lw2 U2 Lw2 dufu Lw2 U2 Lw fbuu Lw U2 Lw' bufd Lw U2 Lw2 dbuf Lw U2 Lw fdbu U2 Lw' U2 Lw' dbuu U2 Lw' U2 Lw2 fdub U2 Lw' U2 Lw ufud U2 Lw2 U2 Lw' fbdu U2 Lw2 U2 Lw2 udfu U2 Lw2 U2 Lw bfuu U2 Lw U2 Lw' ubfd U2 Lw U2 Lw2 bduf U2 Lw U2 Lw dfbu Lw' U2 Lw' U2 Lw2 fudu Lw' U2 Lw' U2 Lw ubfu Lw' U2 Lw2 U2 Lw' fubd Lw' U2 Lw2 U2 Lw2 ubdf Lw' U2 Lw2 U2 Lw bdfu Lw' U2 Lw U2 Lw' uubf Lw' U2 Lw U2 Lw2 budu Lw' U2 Lw U2 Lw dufb Lw2 U2 Lw' U2 Lw2 fbud Lw2 U2 Lw' U2 Lw udbf Lw2 U2 Lw2 U2 Lw' fuub Lw2 U2 Lw2 U2 Lw2 uubd Lw2 U2 Lw2 U2 Lw budf Lw2 U2 Lw U2 Lw' udub Lw2 U2 Lw U2 Lw2 bfud Lw U2 Lw' U2 Lw' duuf Lw U2 Lw' U2 Lw2 fubu Lw U2 Lw' U2 Lw uudb Lw U2 Lw2 U2 Lw' fduu Lw U2 Lw2 U2 Lw2 ufub Lw U2 Lw2 U2 Lw buud Lw U2 Lw U2 Lw' ufdu Lw U2 Lw U2 Lw2 bufu x' U2 Lw U2 Lw' uufb x U2 Lw' U2 Lw uudf U2 Lw' U2 Lw2 U2 Lw' ufbd U2 Lw' U2 Lw2 U2 Lw dbfu U2 Lw' U2 Lw U2 Lw2 ubdu U2 Lw' U2 Lw U2 Lw udfb U2 Lw2 U2 Lw' U2 Lw dubf U2 Lw2 U2 Lw U2 Lw' duub U2 Lw U2 Lw' U2 Lw' uduf U2 Lw U2 Lw' U2 Lw2 ufbu U2 Lw U2 Lw2 U2 Lw' dfuu U2 Lw U2 Lw2 U2 Lw ubud
== Move Set ==
6x6x6: L, Lw, 3Lw, U, R

7X7x7: L, Lw, 3Lw, 4Lw, U, R
== Pros ==
* Reduced Move Set
== Cons ==
* Must memorize four useless wings

== External links ==
[http://bbs.mf8-china.com/forum.php?mod=viewthread&tid=115522 mf8 thread]
[[Category:Big Cube methods]]
[[Category:Big Cubes substeps]]
[[Category:Experimental methods]]

UEF8E

2019-08-01T14:55:28Z

戴胜:

UEF8E

2019-08-01T09:45:44Z

戴胜:

ZBLS

2019-07-30T09:56:02Z

戴胜:

{{Substep Infobox
|name=EOLS
|image=
|proposers=[[Zbigniew Zborowski]], [[Ron van Bruchem]]
|year=
|anames=ZBLS, ZBF2L
|variants=[[F2L-1:form pair]]+[[VHLS]]
|subgroup=
|algs=302
|moves=
|purpose=
|previous=[[F2L-1 cube state]]
|next=[[LL:EO cube state]]
}}

'''EOLS''' (short for '''Edge Orientation Last Slot'''), also known as '''ZBLS''' (short for '''[[Zbigniew Zborowski|Zborowski]]-[[Ron van Bruchem|Bruchem]] Last Slot''', earlier called '''ZBF2L''') is a 3x3 speedsolving substep to simultaneously solve the last [[corner]]-[[edge]] pair in [[F2L]] and orient the [[last layer]] edges. Originally proposed as part of the [[ZB method]], it can occasionally be useful for methods such as [[Fridrich]] or for [[Fewest Moves]].

EOLS is not as useful on its own as [[ZBLL]], although together they are very fast. The problem is that EOLS involves 125 algorithms (counting inverses and mirrors as the same algorithm) and has a total of 302 cases to learn. When combined with ZBLL, there are 795 algorithms. Only a handful of cubers have learned EOLS in its entirety. [[VHLS]], a two-step method that first makes the last pair and then inserting it while orienting edges, is a subset of EOLS corresponding to just one of the F2L cases.

== Terminology change ==
ZBLS was originally called ZBF2L; similarly, [[VHLS]] was originally called VHF2L. As more last-slot substeps were considered, several notable cubers began to call them all with the LS suffix.

== See also ==
* [[ZB Method]]
* [[ZBLL]]
* [[VHLS]]

== External links ==
* [http://www.cubezone.be/zbf2l.html ZBF2L] By Lars Vandenbergh
* [https://www.speedcubingtips.eu/zbls-zborowski-bruchem-last-slot/ ZBF2L/ZBLS by speedcubingtips.eu]
* [https://tading.gitee.io/zbll/ZBF2L CE's ZB F2L Algs] (OH)

[[Category:3x3x3 last slot substeps]]
[[Category:Acronyms]]
[[Category:Advanced methods]]

UEF8E

2019-07-29T13:45:42Z

戴胜:

'''UEF8E''' is a method for pairing the first eight edges. By using U2, the solver can avoid cube rotation and using flipping algorithm( F' L F U L2 U' etc. ).

[https://alg.cubing.net/?puzzle=6x6x6&setup=3Lw-_Lw-_3Bw-_Bw-_3Uw_Dw2-_F_D2-_F-_Uw2-_3Uw2-_Dw-_L_D2-_L-_Uw-_3Uw_Dw2-_B-_U-_B_Uw2-_3Uw_Dw-_R_U-_R-_Uw2-_3Uw_Dw_B-_D_B_Uw-_3Uw-_Dw_R-_U-_R_Uw_R_U-_R-_Uw-_3Uw-_Dw-_B_D2-_B-_Dw_D_3Bw_Bw_Lw_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-&alg=x-_U-_L-_U_Lw-_U_R_U2-_L-_U2-_L-_U_3Lw-_R-_U_R_U-_3Lw-_U2-_3Lw-_U-_R_U-_Lw_U_L_U_3Lw2-_Lw-_U-_L-_U_L_U_L-_U-_3Lw_Lw2-_U_R_U_Lw-_L_U-_L-_U-_3Lw2-_U2-_Lw2-_U2-_Lw_U_R-_U-_Lw-_U-_R-_U_3Lw_U2-_Lw2-_L_U-_L-_U_3Lw-_U2-_Lw_U_R_U_3Lw_U2_3Lw-_U2_3Lw2_Lw_U2_Lw2_U2_Lw example solve]
== Center Resolving ==
1. Inner center

2. Outer center

[[File:Resolve_center.png]]

0 uufd Lw' ubuf Lw2 udbu Lw ufdb U2 Lw' buuf U2 Lw2 dubu U2 Lw fudb Lw' U2 Lw' bduu Lw' U2 Lw2 dfub Lw' U2 Lw fuud Lw2 U2 Lw' bfdu Lw2 U2 Lw2 dufu Lw2 U2 Lw fbuu Lw U2 Lw' bufd Lw U2 Lw2 dbuf Lw U2 Lw fdbu U2 Lw' U2 Lw' dbuu U2 Lw' U2 Lw2 fdub U2 Lw' U2 Lw ufud U2 Lw2 U2 Lw' fbdu U2 Lw2 U2 Lw2 udfu U2 Lw2 U2 Lw bfuu U2 Lw U2 Lw' ubfd U2 Lw U2 Lw2 bduf U2 Lw U2 Lw dfbu Lw' U2 Lw' U2 Lw2 fudu Lw' U2 Lw' U2 Lw ubfu Lw' U2 Lw2 U2 Lw' fubd Lw' U2 Lw2 U2 Lw2 ubdf Lw' U2 Lw2 U2 Lw bdfu Lw' U2 Lw U2 Lw' uubf Lw' U2 Lw U2 Lw2 budu Lw' U2 Lw U2 Lw dufb Lw2 U2 Lw' U2 Lw2 fbud Lw2 U2 Lw' U2 Lw udbf Lw2 U2 Lw2 U2 Lw' fuub Lw2 U2 Lw2 U2 Lw2 uubd Lw2 U2 Lw2 U2 Lw budf Lw2 U2 Lw U2 Lw' udub Lw2 U2 Lw U2 Lw2 bfud Lw U2 Lw' U2 Lw' duuf Lw U2 Lw' U2 Lw2 fubu Lw U2 Lw' U2 Lw uudb Lw U2 Lw2 U2 Lw' fduu Lw U2 Lw2 U2 Lw2 ufub Lw U2 Lw2 U2 Lw buud Lw U2 Lw U2 Lw' ufdu Lw U2 Lw U2 Lw2 bufu x' U2 Lw U2 Lw' uufb x U2 Lw' U2 Lw uudf U2 Lw' U2 Lw2 U2 Lw' ufbd U2 Lw' U2 Lw2 U2 Lw dbfu U2 Lw' U2 Lw U2 Lw2 ubdu U2 Lw' U2 Lw U2 Lw udfb U2 Lw2 U2 Lw' U2 Lw dubf U2 Lw2 U2 Lw U2 Lw' duub U2 Lw U2 Lw' U2 Lw' uduf U2 Lw U2 Lw' U2 Lw2 ufbu U2 Lw U2 Lw2 U2 Lw' dfuu U2 Lw U2 Lw2 U2 Lw ubud
== Move Set ==
6x6x6: L, Lw, 3Lw, U, R

7X7x7: L, Lw, 3Lw, 4Lw, U, R
== Pros ==
* Reduced Move Set
== Cons ==
* Must memorize four useless wings
[[Category:Big Cube methods]]

UEF8E

2019-07-29T13:43:43Z

戴胜:

'''UEF8E''' is a method for pairing the first eight edges. By using U2, the solver can avoid cube rotation and using flipping algorithm.

[https://alg.cubing.net/?puzzle=6x6x6&setup=3Lw-_Lw-_3Bw-_Bw-_3Uw_Dw2-_F_D2-_F-_Uw2-_3Uw2-_Dw-_L_D2-_L-_Uw-_3Uw_Dw2-_B-_U-_B_Uw2-_3Uw_Dw-_R_U-_R-_Uw2-_3Uw_Dw_B-_D_B_Uw-_3Uw-_Dw_R-_U-_R_Uw_R_U-_R-_Uw-_3Uw-_Dw-_B_D2-_B-_Dw_D_3Bw_Bw_Lw_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-&alg=x-_U-_L-_U_Lw-_U_R_U2-_L-_U2-_L-_U_3Lw-_R-_U_R_U-_3Lw-_U2-_3Lw-_U-_R_U-_Lw_U_L_U_3Lw2-_Lw-_U-_L-_U_L_U_L-_U-_3Lw_Lw2-_U_R_U_Lw-_L_U-_L-_U-_3Lw2-_U2-_Lw2-_U2-_Lw_U_R-_U-_Lw-_U-_R-_U_3Lw_U2-_Lw2-_L_U-_L-_U_3Lw-_U2-_Lw_U_R_U_3Lw_U2_3Lw-_U2_3Lw2_Lw_U2_Lw2_U2_Lw example solve]
== Center Resolving ==
1. Inner center

2. Outer center

[[File:Resolve_center.png]]

0 uufd Lw' ubuf Lw2 udbu Lw ufdb U2 Lw' buuf U2 Lw2 dubu U2 Lw fudb Lw' U2 Lw' bduu Lw' U2 Lw2 dfub Lw' U2 Lw fuud Lw2 U2 Lw' bfdu Lw2 U2 Lw2 dufu Lw2 U2 Lw fbuu Lw U2 Lw' bufd Lw U2 Lw2 dbuf Lw U2 Lw fdbu U2 Lw' U2 Lw' dbuu U2 Lw' U2 Lw2 fdub U2 Lw' U2 Lw ufud U2 Lw2 U2 Lw' fbdu U2 Lw2 U2 Lw2 udfu U2 Lw2 U2 Lw bfuu U2 Lw U2 Lw' ubfd U2 Lw U2 Lw2 bduf U2 Lw U2 Lw dfbu Lw' U2 Lw' U2 Lw2 fudu Lw' U2 Lw' U2 Lw ubfu Lw' U2 Lw2 U2 Lw' fubd Lw' U2 Lw2 U2 Lw2 ubdf Lw' U2 Lw2 U2 Lw bdfu Lw' U2 Lw U2 Lw' uubf Lw' U2 Lw U2 Lw2 budu Lw' U2 Lw U2 Lw dufb Lw2 U2 Lw' U2 Lw2 fbud Lw2 U2 Lw' U2 Lw udbf Lw2 U2 Lw2 U2 Lw' fuub Lw2 U2 Lw2 U2 Lw2 uubd Lw2 U2 Lw2 U2 Lw budf Lw2 U2 Lw U2 Lw' udub Lw2 U2 Lw U2 Lw2 bfud Lw U2 Lw' U2 Lw' duuf Lw U2 Lw' U2 Lw2 fubu Lw U2 Lw' U2 Lw uudb Lw U2 Lw2 U2 Lw' fduu Lw U2 Lw2 U2 Lw2 ufub Lw U2 Lw2 U2 Lw buud Lw U2 Lw U2 Lw' ufdu Lw U2 Lw U2 Lw2 bufu x' U2 Lw U2 Lw' uufb x U2 Lw' U2 Lw uudf U2 Lw' U2 Lw2 U2 Lw' ufbd U2 Lw' U2 Lw2 U2 Lw dbfu U2 Lw' U2 Lw U2 Lw2 ubdu U2 Lw' U2 Lw U2 Lw udfb U2 Lw2 U2 Lw' U2 Lw dubf U2 Lw2 U2 Lw U2 Lw' duub U2 Lw U2 Lw' U2 Lw' uduf U2 Lw U2 Lw' U2 Lw2 ufbu U2 Lw U2 Lw2 U2 Lw' dfuu U2 Lw U2 Lw2 U2 Lw ubud
== Move Set ==
6x6x6: L, Lw, 3Lw, U, R

7X7x7: L, Lw, 3Lw, 4Lw, U, R
== Pros ==
* Reduced Move Set
== Cons ==
* Must memorize four useless wings
[[Category:Big Cube methods]]

UEF8E

2019-07-27T09:02:01Z

戴胜:

'''UEF8E''' is a method for pairing the first eight edges. It removes the flipping algorithm( F' L F U L2 U' etc. ).

[https://alg.cubing.net/?puzzle=6x6x6&setup=3Lw-_Lw-_3Bw-_Bw-_3Uw_Dw2-_F_D2-_F-_Uw2-_3Uw2-_Dw-_L_D2-_L-_Uw-_3Uw_Dw2-_B-_U-_B_Uw2-_3Uw_Dw-_R_U-_R-_Uw2-_3Uw_Dw_B-_D_B_Uw-_3Uw-_Dw_R-_U-_R_Uw_R_U-_R-_Uw-_3Uw-_Dw-_B_D2-_B-_Dw_D_3Bw_Bw_Lw_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-&alg=x-_U-_L-_U_Lw-_U_R_U2-_L-_U2-_L-_U_3Lw-_R-_U_R_U-_3Lw-_U2-_3Lw-_U-_R_U-_Lw_U_L_U_3Lw2-_Lw-_U-_L-_U_L_U_L-_U-_3Lw_Lw2-_U_R_U_Lw-_L_U-_L-_U-_3Lw2-_U2-_Lw2-_U2-_Lw_U_R-_U-_Lw-_U-_R-_U_3Lw_U2-_Lw2-_L_U-_L-_U_3Lw-_U2-_Lw_U_R_U_3Lw_U2_3Lw-_U2_3Lw2_Lw_U2_Lw2_U2_Lw example solve]
== Difficult Center Resolving ==
1. Inner center

2. Outer center

[[File:Resolve_center.png]]

0 uufd Lw' ubuf Lw2 udbu Lw ufdb U2 Lw' buuf U2 Lw2 dubu U2 Lw fudb Lw' U2 Lw' bduu Lw' U2 Lw2 dfub Lw' U2 Lw fuud Lw2 U2 Lw' bfdu Lw2 U2 Lw2 dufu Lw2 U2 Lw fbuu Lw U2 Lw' bufd Lw U2 Lw2 dbuf Lw U2 Lw fdbu U2 Lw' U2 Lw' dbuu U2 Lw' U2 Lw2 fdub U2 Lw' U2 Lw ufud U2 Lw2 U2 Lw' fbdu U2 Lw2 U2 Lw2 udfu U2 Lw2 U2 Lw bfuu U2 Lw U2 Lw' ubfd U2 Lw U2 Lw2 bduf U2 Lw U2 Lw dfbu Lw' U2 Lw' U2 Lw2 fudu Lw' U2 Lw' U2 Lw ubfu Lw' U2 Lw2 U2 Lw' fubd Lw' U2 Lw2 U2 Lw2 ubdf Lw' U2 Lw2 U2 Lw bdfu Lw' U2 Lw U2 Lw' uubf Lw' U2 Lw U2 Lw2 budu Lw' U2 Lw U2 Lw dufb Lw2 U2 Lw' U2 Lw2 fbud Lw2 U2 Lw' U2 Lw udbf Lw2 U2 Lw2 U2 Lw' fuub Lw2 U2 Lw2 U2 Lw2 uubd Lw2 U2 Lw2 U2 Lw budf Lw2 U2 Lw U2 Lw' udub Lw2 U2 Lw U2 Lw2 bfud Lw U2 Lw' U2 Lw' duuf Lw U2 Lw' U2 Lw2 fubu Lw U2 Lw' U2 Lw uudb Lw U2 Lw2 U2 Lw' fduu Lw U2 Lw2 U2 Lw2 ufub Lw U2 Lw2 U2 Lw buud Lw U2 Lw U2 Lw' ufdu Lw U2 Lw U2 Lw2 bufu x' U2 Lw U2 Lw' uufb x U2 Lw' U2 Lw uudf U2 Lw' U2 Lw2 U2 Lw' ufbd U2 Lw' U2 Lw2 U2 Lw dbfu U2 Lw' U2 Lw U2 Lw2 ubdu U2 Lw' U2 Lw U2 Lw udfb U2 Lw2 U2 Lw' U2 Lw dubf U2 Lw2 U2 Lw U2 Lw' duub U2 Lw U2 Lw' U2 Lw' uduf U2 Lw U2 Lw' U2 Lw2 ufbu U2 Lw U2 Lw2 U2 Lw' dfuu U2 Lw U2 Lw2 U2 Lw ubud
== Move Set ==
6x6x6: L, Lw, 3Lw, U, R

7X7x7: L, Lw, 3Lw, 4Lw, U, R
== Pros ==
* Reduced Move Set
== Cons ==
* Must memorize four useless wings
[[Category:Big Cube methods]]

UEF8E

2019-07-27T08:55:46Z

戴胜: Created page with "'''UEF8E''' is a method for pairing first eight edges. It removes the flipping algorithm( F' L F U L2 U' etc. ). [https://alg.cubing.net/?puzzle=6x6x6&setup=3Lw-_Lw-_3Bw-_Bw-..."

'''UEF8E''' is a method for pairing first eight edges. It removes the flipping algorithm( F' L F U L2 U' etc. ).

[https://alg.cubing.net/?puzzle=6x6x6&setup=3Lw-_Lw-_3Bw-_Bw-_3Uw_Dw2-_F_D2-_F-_Uw2-_3Uw2-_Dw-_L_D2-_L-_Uw-_3Uw_Dw2-_B-_U-_B_Uw2-_3Uw_Dw-_R_U-_R-_Uw2-_3Uw_Dw_B-_D_B_Uw-_3Uw-_Dw_R-_U-_R_Uw_R_U-_R-_Uw-_3Uw-_Dw-_B_D2-_B-_Dw_D_3Bw_Bw_Lw_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-_U2-_3Lw-&alg=x-_U-_L-_U_Lw-_U_R_U2-_L-_U2-_L-_U_3Lw-_R-_U_R_U-_3Lw-_U2-_3Lw-_U-_R_U-_Lw_U_L_U_3Lw2-_Lw-_U-_L-_U_L_U_L-_U-_3Lw_Lw2-_U_R_U_Lw-_L_U-_L-_U-_3Lw2-_U2-_Lw2-_U2-_Lw_U_R-_U-_Lw-_U-_R-_U_3Lw_U2-_Lw2-_L_U-_L-_U_3Lw-_U2-_Lw_U_R_U_3Lw_U2_3Lw-_U2_3Lw2_Lw_U2_Lw2_U2_Lw example solve]
== Difficult Center Resolving ==
1. Inner center

2. Outer center

[[File:Resolve_center.png]]

0 uufd Lw' ubuf Lw2 udbu Lw ufdb U2 Lw' buuf U2 Lw2 dubu U2 Lw fudb Lw' U2 Lw' bduu Lw' U2 Lw2 dfub Lw' U2 Lw fuud Lw2 U2 Lw' bfdu Lw2 U2 Lw2 dufu Lw2 U2 Lw fbuu Lw U2 Lw' bufd Lw U2 Lw2 dbuf Lw U2 Lw fdbu U2 Lw' U2 Lw' dbuu U2 Lw' U2 Lw2 fdub U2 Lw' U2 Lw ufud U2 Lw2 U2 Lw' fbdu U2 Lw2 U2 Lw2 udfu U2 Lw2 U2 Lw bfuu U2 Lw U2 Lw' ubfd U2 Lw U2 Lw2 bduf U2 Lw U2 Lw dfbu Lw' U2 Lw' U2 Lw2 fudu Lw' U2 Lw' U2 Lw ubfu Lw' U2 Lw2 U2 Lw' fubd Lw' U2 Lw2 U2 Lw2 ubdf Lw' U2 Lw2 U2 Lw bdfu Lw' U2 Lw U2 Lw' uubf Lw' U2 Lw U2 Lw2 budu Lw' U2 Lw U2 Lw dufb Lw2 U2 Lw' U2 Lw2 fbud Lw2 U2 Lw' U2 Lw udbf Lw2 U2 Lw2 U2 Lw' fuub Lw2 U2 Lw2 U2 Lw2 uubd Lw2 U2 Lw2 U2 Lw budf Lw2 U2 Lw U2 Lw' udub Lw2 U2 Lw U2 Lw2 bfud Lw U2 Lw' U2 Lw' duuf Lw U2 Lw' U2 Lw2 fubu Lw U2 Lw' U2 Lw uudb Lw U2 Lw2 U2 Lw' fduu Lw U2 Lw2 U2 Lw2 ufub Lw U2 Lw2 U2 Lw buud Lw U2 Lw U2 Lw' ufdu Lw U2 Lw U2 Lw2 bufu x' U2 Lw U2 Lw' uufb x U2 Lw' U2 Lw uudf U2 Lw' U2 Lw2 U2 Lw' ufbd U2 Lw' U2 Lw2 U2 Lw dbfu U2 Lw' U2 Lw U2 Lw2 ubdu U2 Lw' U2 Lw U2 Lw udfb U2 Lw2 U2 Lw' U2 Lw dubf U2 Lw2 U2 Lw U2 Lw' duub U2 Lw U2 Lw' U2 Lw' uduf U2 Lw U2 Lw' U2 Lw2 ufbu U2 Lw U2 Lw2 U2 Lw' dfuu U2 Lw U2 Lw2 U2 Lw ubud
== Move Set ==
6x6x6: L, Lw, 3Lw, U, R

7X7x7: L, Lw, 3Lw, 4Lw, U, R
== Pros ==
* Reduced Move Set
== Cons ==
* Must memorize four useless wings
[[Category:Big Cube methods]]

File:Resolve center.png

2019-07-27T08:30:03Z

戴胜:

Category:Megaminx methods

2019-07-03T10:39:51Z

戴胜: /* External links */

== Megaminx Speedsolving Methods ==

Contrary to popular belief, the [[Megaminx]] is not substantially harder than a [[3x3x3]] to solve. The Megaminx can be solved up until the last [[face]] exactly like [[F2L]] on a normal Rubik's Cube. Generally, a solver will start with a "star" on one side, analogous to the [[cross]] on a Rubik's Cube. Then, corners and edges are paired and placed exactly like that of CFOP F2L until only the last face needs to be solved. From here there are several ways to go about solving the last face. Many [[algorithm]]s used on a Rubik's Cube can be applied to the [[LL|last layer]] of the Megaminx. For example, [[Sune]] (R U R' U R U'2 R') cycles three edges, and F R U R' U' F' and its inverse orient edges just like that of a Rubik's Cube.
==List of methods==
* [[Bálint]]
* [[Westlund]]
* [[YDH ]] (Yu Da Hyun)
* [[Tregay]]
* [[MegaZZ]]
* [[MiniTripod]]
* [[Villaret]]
* [[Akkersdijk]]
* [[Hayes]]
== See also ==
* [[Megaminx]]
* [[Megaminx notation]]

== External links ==
* [http://qblog.be/2010/02/last-layer-megaminx-solver/ 5g solver for Megaminx LL by Lars Vandenbergh]
* [http://stefan-pochmann.info/spocc/speedsolving/megaminx/ Stefan Pochmann's page]
* [http://grant.tregay.net/cube/solutions/megaminx/index.html Grant Tregay's page]
* [https://web-beta.archive.org/web/20120104200507/http://erikku.er.funpic.org:80/rubik/megaminx_index.html Erik Akkersdijk's method and algorithms]
* [http://www.kungfoomanchu.com/#megaminx A PDF alg sheet for the last layer] (10 algorithm beginner's guide and a 20 algorithm advanced guide)
* [http://www.kungfoomanchu.com/home.html#promegaodd Odder's Megaminx Last Layer Guide]
* [http://www.francocube.com/cyril/mega_index.php François Villaret's method in French]
* [http://hem.bredband.net/_zlv_/rubiks/megaminx-new/index.html Loads of LL-cases and algs]
* [https://tading.gitee.io/zbll/Megaminx_OLL Tading's OLL]
* [https://tading.gitee.io/zbll/Megaminx_PLL Tading's PLL]
[[Category:Megaminx]]
{{stub}}

PLL

2019-05-14T08:20:03Z

戴胜: /* Y Permutation */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. If you like, try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].

{{PLL}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}}
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

PLL

2019-05-14T08:14:46Z

戴胜: /* R Permutation : a */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. If you like, try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].

{{PLL}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}}
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

PLL

2019-05-14T08:10:25Z

戴胜: /* G Permutation : d */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. If you like, try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].

{{PLL}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}}
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

PLL

2019-05-14T08:07:09Z

戴胜: /* G Permutation : c */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. If you like, try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].

{{PLL}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

Template:E-PLL

2019-05-14T08:02:25Z

戴胜: /* E Permutation */

===E Permutation===
{{case
|image=e.gif
|name=E-PLL
|methods=[[CPLL]], [[PLL]], [[L4C]], [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y x') (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') (x)|PLL|vidurl=https://www.youtube.com/watch?v=32mxW4xKes8}}
{{Alg|(y x') R' D R U' R' U2 R' U R D' R' U' R U2 R U x|PLL}}
{{Alg|R2 U R' U' (y) (R U R' U')2 R U R' (y') R U' R2'|PLL}}
{{Alg|(x) U R' U' L U R U' r2 U' R U L U' R' U (x)|PLL}}
{{Alg|(y x') R U' R' D R U R' u2 R' U R D R' U' R (x')|PLL}}
{{Alg|(y x') R U' R' D R U R' D2 L' U L D L' U' L (x)|PLL}}
{{Alg|(x) U R' U' L U R U' L' U R U' L U R' U' L' (x')|PLL}}
{{Alg|(x') U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|(y) R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|L R' U' R U L' U' R' U R r U R' U' r' F R F'|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U (x')|PLL}}
{{Alg|(y) r' R' U' L D' L' U L R U' R' D R U (x)|PLL}}
{{Alg|(y) l L U R' D R U' R' r' F r D' L' U'|PLL}}
{{Alg|r2 U r2 D (x') (R U' R' U)3 (x) D' r2 U' r2|PLL}}
{{Alg|L' U' L' U R U' L U L (R' l') U' L U R U' L' U (x' y)|PLL}}
{{Alg|R2 U R' (y) (R U' R' U)3 (y') R U' R2|PLL}}
{{Alg|(y' z') R' F R2 U R' B' R U' R2 F' R (z) R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|R B L B' R' (y) R L (y) L B' R' B L' (y') R' L'|PLL}}
{{Alg|(y) l U' R' D R U R' D' R U R' D R U' R' D' x|PLL}}
{{Alg|l' U' r' F R F' R U R' U' L U R U' R' F|PLL}}
{{Alg|F' R U R' U' L' U R U' l' U R' U' r B R (x2)|PLL}}
{{Alg|(z) U2 R2 F (R U R' U')3 F' R2 U2 (z')|PLL}}
{{Alg|R' D' R U' R' D R U R' D' R U2 R' D R U' R' D' R U R' D R|PLL}}
{{Alg|(y x') R' D R U' R' D' R U2 L D' L' U' L D L' (x)|PLL}}
{{Alg|F R' F' r U R U' r' F R F' r U R' U' r'|PLL}}
{{Alg|(x) R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|D R' D2 F' D L D' F D2 R D' F' L' F|PLL}}
{{Alg|l' U' L' U R U' L U R' U' L U R U' L' U (x')|PLL}}
{{Alg|(y) R U R D R' U R D' R' U' R D R' U' R D' R2|PLL}}

PLL

2019-05-14T08:00:28Z

戴胜: /* F Permutation */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. If you like, try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].

{{PLL}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}
{{Alg|(y2) R U R' F2 D' (L U' L' U L') D F2|PLL}}
{{Alg|(y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}
{{Alg|(y2) (R U R') F2 D' L U' L' U L' D F2 U2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a, L-perm
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|y2 x R2 F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'|Alg.2|cube=3x3x3&stage=PLL|}}
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__

Template:E-PLL

2019-05-14T07:57:40Z

戴胜: /* E Permutation */

===E Permutation===
{{case
|image=e.gif
|name=E-PLL
|methods=[[CPLL]], [[PLL]], [[L4C]], [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y x') (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') (x)|PLL|vidurl=https://www.youtube.com/watch?v=32mxW4xKes8}}
{{Alg|(y x') R' D R U' R' U2 R' U R D' R' U' R U2 R U|PLL}}
{{Alg|R2 U R' U' (y) (R U R' U')2 R U R' (y') R U' R2'|PLL}}
{{Alg|(x) U R' U' L U R U' r2 U' R U L U' R' U (x)|PLL}}
{{Alg|(y x') R U' R' D R U R' u2 R' U R D R' U' R (x')|PLL}}
{{Alg|(y x') R U' R' D R U R' D2 L' U L D L' U' L (x)|PLL}}
{{Alg|(x) U R' U' L U R U' L' U R U' L U R' U' L' (x')|PLL}}
{{Alg|(x') U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|(y) R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|L R' U' R U L' U' R' U R r U R' U' r' F R F'|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U (x')|PLL}}
{{Alg|(y) r' R' U' L D' L' U L R U' R' D R U (x)|PLL}}
{{Alg|(y) l L U R' D R U' R' r' F r D' L' U'|PLL}}
{{Alg|r2 U r2 D (x') (R U' R' U)3 (x) D' r2 U' r2|PLL}}
{{Alg|L' U' L' U R U' L U L (R' l') U' L U R U' L' U (x' y)|PLL}}
{{Alg|R2 U R' (y) (R U' R' U)3 (y') R U' R2|PLL}}
{{Alg|(y' z') R' F R2 U R' B' R U' R2 F' R (z) R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|R B L B' R' (y) R L (y) L B' R' B L' (y') R' L'|PLL}}
{{Alg|(y) l U' R' D R U R' D' R U R' D R U' R' D' x|PLL}}
{{Alg|l' U' r' F R F' R U R' U' L U R U' R' F|PLL}}
{{Alg|F' R U R' U' L' U R U' l' U R' U' r B R (x2)|PLL}}
{{Alg|(z) U2 R2 F (R U R' U')3 F' R2 U2 (z')|PLL}}
{{Alg|R' D' R U' R' D R U R' D' R U2 R' D R U' R' D' R U R' D R|PLL}}
{{Alg|(y x') R' D R U' R' D' R U2 L D' L' U' L D L' (x)|PLL}}
{{Alg|F R' F' r U R U' r' F R F' r U R' U' r'|PLL}}
{{Alg|(x) R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|D R' D2 F' D L D' F D2 R D' F' L' F|PLL}}
{{Alg|l' U' L' U R U' L U R' U' L U R U' L' U (x')|PLL}}
{{Alg|(y) R U R D R' U R D' R' U' R D R' U' R D' R2|PLL}}

First Two Layers

2019-05-01T07:09:27Z

戴胜: /* F2L 26 */

<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|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

2019-05-01T06:53:44Z

戴胜: /* F2L 25 */

<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|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|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__

ZB method

2019-04-28T06:54:35Z

戴胜: /* Resources */

{{Method Infobox
|name=ZB
|image=Vh_method.gif
|proposers=[[Zbigniew Zborowski]] [[Ron van Bruchem]]
|year=2002
|anames=
|variants=[[VH]]
|steps=3
|algs=799 ZBLS: 306 ZBLL: 472 (+ 21 inc. [[PLL]])
|moves=45.43; 48.51 if VHLS is used in place of ZBLS (see [[VH]])
|purpose=
* [[Speedsolving]]
* [[Fewest Moves]]
}}

'''ZB''' (short for ''Zborowski-Bruchem'' after its inventors, [[Zbigniew Zborowski]] and [[Ron van Bruchem]]) is a very efficient but algorithm-intensive method which is a variation of advanced [[LBL]] methods such as the [[Fridrich method]]. After solving the F2L minus one [[corner-edge]] pair in whatever method the solver wishes, there are just two more steps: [[ZBLS]] (originally called ''ZBF2L''), which finishes F2L while simultaneously orienting the edges of the [[last layer]], and [[ZBLL]], which finishes the last layer in one algorithm.

On his [http://www.zborowski.republika.pl/expert3x3x3method.html webpage], Zborowski claims that his method requires only 40 moves on average, which means that a master of this method should be able to get times that are significantly faster than those possible with Fridrich. Unfortunately, because this method has a total of 300 algorithms or 795 total cases, it would take a very long time to learn the entire method. Very few people have ever put full ZB into practice.

== See also ==
* [[ZBLS]]
* [[ZBLL]]
* [[VH]]
* [[Fridrich Method]]
* [[ZZ Method]]

== Resources ==
* [http://www.zborowski.republika.pl/expert3x3x3method.html Zbigniew Zborowski's ZB Page]
* [http://www.speedcubing.com/chris/zb.html Chris Hardwick's ZB Page]
* [http://jmbaum.110mb.com/zb.htm Jason Baum's ZB Page]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/zb/zb Dan Harris's ZB Page]
* [http://lar5.com/cube/270/index.html Lars Petrus's ZBLL Algs]
* [http://www.cubezone.be/zbf2l.html Lars Vandenbergh's ZB F2L Algs]
* [https://tading.gitee.io/zbll/ZBF2L CE's ZB F2L Algs] (OH)
* [https://tading.gitee.io/zbll/ Tading's ZBLL Algs]

[[Category:3x3x3 methods]]
[[Category:3x3x3 speedsolving methods]]
[[Category:Advanced methods]]

ZB method

2019-04-28T06:51:35Z

戴胜: /* Resources */

{{Method Infobox
|name=ZB
|image=Vh_method.gif
|proposers=[[Zbigniew Zborowski]] [[Ron van Bruchem]]
|year=2002
|anames=
|variants=[[VH]]
|steps=3
|algs=799 ZBLS: 306 ZBLL: 472 (+ 21 inc. [[PLL]])
|moves=45.43; 48.51 if VHLS is used in place of ZBLS (see [[VH]])
|purpose=
* [[Speedsolving]]
* [[Fewest Moves]]
}}

'''ZB''' (short for ''Zborowski-Bruchem'' after its inventors, [[Zbigniew Zborowski]] and [[Ron van Bruchem]]) is a very efficient but algorithm-intensive method which is a variation of advanced [[LBL]] methods such as the [[Fridrich method]]. After solving the F2L minus one [[corner-edge]] pair in whatever method the solver wishes, there are just two more steps: [[ZBLS]] (originally called ''ZBF2L''), which finishes F2L while simultaneously orienting the edges of the [[last layer]], and [[ZBLL]], which finishes the last layer in one algorithm.

On his [http://www.zborowski.republika.pl/expert3x3x3method.html webpage], Zborowski claims that his method requires only 40 moves on average, which means that a master of this method should be able to get times that are significantly faster than those possible with Fridrich. Unfortunately, because this method has a total of 300 algorithms or 795 total cases, it would take a very long time to learn the entire method. Very few people have ever put full ZB into practice.

== See also ==
* [[ZBLS]]
* [[ZBLL]]
* [[VH]]
* [[Fridrich Method]]
* [[ZZ Method]]

== Resources ==
* [http://www.zborowski.republika.pl/expert3x3x3method.html Zbigniew Zborowski's ZB Page]
* [http://www.speedcubing.com/chris/zb.html Chris Hardwick's ZB Page]
* [http://jmbaum.110mb.com/zb.htm Jason Baum's ZB Page]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/zb/zb Dan Harris's ZB Page]
* [http://lar5.com/cube/270/index.html Lars Petrus's ZBLL Algs]
* [http://www.cubezone.be/zbf2l.html Lars Vandenbergh's ZB F2L Algs]
* [https://tading.gitee.io/zbll/ZBF2L CE's ZB F2L Algs]
* [https://tading.gitee.io/zbll/ Tading's ZBLL Algs]

[[Category:3x3x3 methods]]
[[Category:3x3x3 speedsolving methods]]
[[Category:Advanced methods]]

ZBLL

2019-03-09T06:10:31Z

戴胜: /* External links */

{{Substep Infobox
|name=ZBLL
|image=ZBLL.png
|proposers=[[Zbigniew Zborowski]], [[Ron van Bruchem]], [[Lars Petrus]]
|year=2002
|anames=[[ZZ-a]], Steps 5+6+7 ([[Petrus method]])
|variants=[[NMLL]]
|subgroup=
|algs=493
|moves=12.08 (Optimal [[HTM]])
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[LL:EO cube state]]
|next=[[Solved cube state]]
}}

'''ZBLL''' (short for ''[[Zbigniew Zborowski|Zborowski]]-[[Ron van Bruchem|Bruchem]] Last Layer'') is a step of a method which involves solving the entire [[last layer]] in one step, assuming that the [[edge]]s are already oriented. This is part of the [[ZB method]], but it can be useful for any other method which leaves the edges of the last layer oriented after F2L is solved (such as the [[Petrus method]], or [[ZZ Method]]).

ZBLL indeed sounds like a very useful step to learn, but the main reason that it is not in wide use is that it involves a massive total of 493 cases (including PLL). Only a handful of people have ever learned this step in its entirety. If you wish to learn it, it is useful to start by learning either [[OCLL]]/[[PLL]] or [[COLL]]/[[EPLL]] before you learn ZBLL, so that you will always be able to finish the cube relatively quickly even if you do not yet know the ZBLL case. Past that, the learning process is done however you'd like to do it. Many choose to skip learning the S and AS subsets due to their already very easy OLL cases. However, you will benefit if you also learn S and AS.

==Learning Approach==

The ZBLL cases are divided into 7 sets: T, U, L, Pi, Sune, Anti-sune, H, and the Pll cases, in which all pieces are oriented. The sets are then divided further into 6 subsets. They are recognized by their [[COLL]] case as well as a corresponding edge cycle. Every subset contains 12 cases, which are all different edge cycles possible with the COLL case of that set. Many people recognize ZBLL by looking at the UFR corner and its neighboring stickers. Whether the stickers are adjacent, or opposite allows for a quick recognition. However, this method only works for the T, U and L subsets of ZBLL, because in the other cases the UFR corner is not correctly oriented. Another way to recognize is through blocks of colour or simply the edge cycle.

==Edge recognition==

For the T, U and L cases (there are 3*6*12=216 algorithms in this set) recognition goes as follows:

1. Recognize the orientation case.

2. Recognize the [[COLL]] case.

3. Recognize the edge cycle by looking at the UFR corner and the edge stickers around it.

4. Apply the corresponding algorithm.

Step 3 may look a little complicated, but it's actually not too bad. In total there are 12 cases, but those are recognized by 2 minor sub-cases, of which there are 3:

C: If the FU sticker is the same as the FRU sticker, and if the RU sticker is the same as the RUF sticker.

A: If the FU sticker is an adjacent color to the FRU sticker, and if the RU sticker is an adjacent color to the RUF sticker.

O: If FU and FRU are opposite, and if RU and RUF are opposite.

A case is recognized by the combination of those. First comes the FU/FRU relation, then the RU/RUF relation, divided by a slash. That means there are 9 possibilities with these cases: C/C, C/A, C/O, A/C, A/A, A/O, O/C, O/A, O/O. However, there are 12 cases. That's because the A case can mean 2 stickers. That's why the last 3 cases are known as C/OX, O/CX and OppX. This means that you don't look for the relation between FU/FRU and RU/RUF, but between FU/RUF and RU/FRU. In the C/OX case, FU and RUF are the same, and RU and FRU are opposite to each other. The same goes for the O/CX case, but vice versa. In the OppX case, both FU/RUF and RU/FRU are opposite. This looks like a Z-permutation. Note that all of these cases can be seen as A/A cases at first, but whenever you have an A/A case, you should always look if it isn't the other one.

== Pros ==
* Smaller movecount than doing OLL/PLL
* Faster than doing OLL/PLL because you only need 1 look

== Cons ==
* There are a total of 493 algorithms
* Long and hard recognition
* Requires edge orientation before doing ZBLL

== See also ==

* [[ZB Method]]
* [[ZBLS]]
* [[ZZ-a]]
* [[VH Method]]
* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=ZBLL-T ZBLL Algorithms] (complete set)
* [[H ZBLL]] (Algorithms)
* [[ZBLD]]
* [[OPLL]]

== External links ==
* Speedsolving.com: [http://www.speedsolving.com/forum/threads/bindedsas-algorithms.55518/ BindeDSA's Algorithms] - complete (2H and OH)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18172 Happy New Year! Also, ZBLL Algorithms] - complete
* [http://www.ai.univ-paris8.fr/~bh/cube/solutions_567.html Bernhard Helmstetter's ZBLL algs] - complete, but excludes mirrors/inverses
* [http://www-personal.umich.edu/~dlli/Hardwick/zbll.html Chris Hardwick's ZBLL algs] - incomplete
* [http://lar5.com/cube/270/index.html Lars Petrus's One-look 2-alg ZBLL system]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=53675 Hierarchy of Last Layer Sub-Steps, Subsets of OLLCP and ZBLL]
* [http://algdb.net/ All ZBLL algs]
* [http://tading.gitee.io/zbll/ TaDing's algorithms] - 472/493 (OH)
[[Category:3x3x3 last layer substeps]]
[[Category:Fewest Moves methods]]
[[Category:Acronyms]]

VHLS

2019-03-08T10:45:36Z

戴胜: /* Pair Separated */

__NOTOC__
{{Substep Infobox
|name=VHLS
|image=Vh_method.gif
|proposers=[[Lars Vandenbergh]], [[Dan Harris]]
|steps=2
|anames=VHF2L
|algs=32
|moves=6.63 (11.27 including setup moves for one slot)
|purpose=[[Speedsolving]]
|previous=[[F2L-1+pair cube state]]
|next=[[LL:EO cube state]]
}}
'''VHLS''' (short for ''[[Vandenbergh-Harris]] Last Slot'') is a step of the [[Vandenbergh-Harris]] method that basically does the same thing as [[ZBLS]] using much fewer algorithms—the last slot is filled in while orienting the edges of the last layer. The reason why there are much fewer algorithms is because all of the cases have a F2L pair already or just one move away from making one. If the cube doesn't apply to that, you have to create a F2L pair or make it one move away.

{{Algnote}}

==Pair Connected==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

===VHLS 1===
[[Image:VHF2L-1.png]]

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

|

===VHLS 2===
[[Image:VHF2L-2.png]]

{{Alg|U (F' U F) (R U' R')}}
{{Alg|y U F R U' R' F'}}

|-valign="top"
|

===VHLS 3===
[[Image:VHF2L-3.png]]

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

===VHLS 4===
[[Image:VHF2L-4.png]]

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

|-valign="top"
|

===VHLS 5===
[[Image:VHF2L-5.png]]

{{Alg|R' F R F'}}

|

===VHLS 6===
[[Image:VHF2L-6.png]]

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

|-valign="top"
|

===VHLS 7===
[[Image:VHF2L-7.png]]

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

|

===VHLS 8===
[[Image:VHF2L-8.png]]

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

|-valign="top"
|

===VHLS 9===
[[Image:VHF2L-9.png]]

{{Alg|d' (L' U L)}}
{{Alg|U' F' U F}}

|

===VHLS 10===
[[Image:VHF2L-10.png]]

{{Alg|U' (R U' R') (F' U F)}}
{{Alg|U' F' L' U L F}}

|-valign="top"
|

===VHLS 11===
[[Image:VHF2L-11.png]]

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

|

===VHLS 12===
[[Image:VHF2L-12.png]]

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

|-valign="top"
|

===VHLS 13===
[[Image:VHF2L-13.png]]

{{Alg|F R' F' R}}

|

===VHLS 14===
[[Image:VHF2L-14.png]]

{{Alg|d U (R' U R U) (R B' R' B)}}
{{Alg|y L F' L2 U' L U F}}

|-valign="top"
|

===VHLS 15===
[[Image:VHF2L-15.png]]

{{Alg|d' (L' U' L U2) (L F' L' F)}}
{{Alg|y L U F' U' L2 U L F}}

|

===VHLS 16===
[[Image:VHF2L-16.png]]

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

|}

==Pair Separated==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
===VHLS 17===
[[Image:VHF2L-17.png]]

{{Alg|R U R'}}

|

===VHLS 18===
[[Image:VHF2L-18.png]]

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

|-valign="top"
|

===VHLS 19===
[[Image:VHF2L-19.png]]

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

|

===VHLS 20===
[[Image:VHF2L-20.png]]

{{Alg|y F U R U R' U' F'}}

|-valign="top"
|

===VHLS 21===
[[Image:VHF2L-21.png]]
{{Alg|y U2 F U R U' R' U' F'}}
|
===VHLS 22===
[[Image:VHF2L-22.png]]
{{Alg|y F U2 R U' R' F'}}
|-valign="top"
|
===VHLS 23===
[[Image:VHF2L-23.png]]
{{Alg|U' F' U2 F R' F R F'}}
|
===VHLS 24===
[[Image:VHF2L-24.png]]
{{Alg|R' D' r U' r' D R2 U R'}}
{{Alg|y L' U L U' F R U R' U F'}}
|-valign="top"
|
===VHLS 25===
[[Image:VHF2L-25.png]]
{{Alg|y' R' U' R}}
|
===VHLS 26===
[[Image:VHF2L-26.png]]
{{Alg|U R U2 R' U' y' R' U R}}
|-valign="top"
|
===VHLS 27===
[[Image:VHF2L-27.png]]
{{Alg|y' U2 r' U r U r' U' r}}
|
===VHLS 28===
[[Image:VHF2L-28.png]]
{{Alg|U R U2 R' F R' F' R}}
|-valign="top"
|
===VHLS 29===
[[Image:VHF2L-29.png]]
{{Alg|F' U' L' U' L U F}}
|
===VHLS 30===
[[Image:VHF2L-30.png]]
{{Alg|F' U2 L' U L F}}
|-valign="top"
|
===VHLS 31===
[[Image:VHF2L-31.png]]
{{Alg|U2 F' U' L' U L U F}}
|
===VHLS 32===
[[Image:VHF2L-32.png]]
{{Alg|y' R D r' U' r D' R2 U' R}}
{{Alg|R U' R' U F' L' U' L U' F}}
|-valign="top"
|
|}

==References==

[[Category:3x3x3 last slot substeps]]

File:VHF2L-32.png

2019-03-08T10:13:29Z

戴胜:

File:VHF2L-31.png

2019-03-08T10:12:40Z

戴胜:

File:VHF2L-30.png

2019-03-08T10:12:20Z

戴胜:

File:VHF2L-29.png

2019-03-08T10:11:57Z

戴胜:

File:VHF2L-28.png

2019-03-08T10:11:36Z

戴胜:

File:VHF2L-27.png

2019-03-08T10:11:20Z

戴胜:

File:VHF2L-26.png

2019-03-08T10:11:04Z

戴胜:

File:VHF2L-25.png

2019-03-08T10:10:42Z

戴胜:

File:VHF2L-24.png

2019-03-08T10:10:15Z

戴胜:

File:VHF2L-23.png

2019-03-08T10:09:41Z

戴胜:

File:VHF2L-22.png

2019-03-08T10:09:15Z

戴胜:

File:VHF2L-21.png

2019-03-08T10:08:48Z

戴胜:

VHLS

2019-03-08T09:30:20Z

戴胜: /* VHLS 20 */

__NOTOC__
{{Substep Infobox
|name=VHLS
|image=Vh_method.gif
|proposers=[[Lars Vandenbergh]], [[Dan Harris]]
|steps=2
|anames=VHF2L
|algs=32
|moves=6.63 (11.27 including setup moves for one slot)
|purpose=[[Speedsolving]]
|previous=[[F2L-1+pair cube state]]
|next=[[LL:EO cube state]]
}}
'''VHLS''' (short for ''[[Vandenbergh-Harris]] Last Slot'') is a step of the [[Vandenbergh-Harris]] method that basically does the same thing as [[ZBLS]] using much fewer algorithms—the last slot is filled in while orienting the edges of the last layer. The reason why there are much fewer algorithms is because all of the cases have a F2L pair already or just one move away from making one. If the cube doesn't apply to that, you have to create a F2L pair or make it one move away.

{{Algnote}}

==Pair Connected==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

===VHLS 1===
[[Image:VHF2L-1.png]]

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

|

===VHLS 2===
[[Image:VHF2L-2.png]]

{{Alg|U (F' U F) (R U' R')}}
{{Alg|y U F R U' R' F'}}

|-valign="top"
|

===VHLS 3===
[[Image:VHF2L-3.png]]

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

===VHLS 4===
[[Image:VHF2L-4.png]]

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

|-valign="top"
|

===VHLS 5===
[[Image:VHF2L-5.png]]

{{Alg|R' F R F'}}

|

===VHLS 6===
[[Image:VHF2L-6.png]]

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

|-valign="top"
|

===VHLS 7===
[[Image:VHF2L-7.png]]

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

|

===VHLS 8===
[[Image:VHF2L-8.png]]

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

|-valign="top"
|

===VHLS 9===
[[Image:VHF2L-9.png]]

{{Alg|d' (L' U L)}}
{{Alg|U' F' U F}}

|

===VHLS 10===
[[Image:VHF2L-10.png]]

{{Alg|U' (R U' R') (F' U F)}}
{{Alg|U' F' L' U L F}}

|-valign="top"
|

===VHLS 11===
[[Image:VHF2L-11.png]]

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

|

===VHLS 12===
[[Image:VHF2L-12.png]]

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

|-valign="top"
|

===VHLS 13===
[[Image:VHF2L-13.png]]

{{Alg|F R' F' R}}

|

===VHLS 14===
[[Image:VHF2L-14.png]]

{{Alg|d U (R' U R U) (R B' R' B)}}
{{Alg|y L F' L2 U' L U F}}

|-valign="top"
|

===VHLS 15===
[[Image:VHF2L-15.png]]

{{Alg|d' (L' U' L U2) (L F' L' F)}}
{{Alg|y L U F' U' L2 U L F}}

|

===VHLS 16===
[[Image:VHF2L-16.png]]

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

|}

==Pair Separated==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
===VHLS 17===
[[Image:VHF2L-17.png]]

{{Alg|R U R'}}

|

===VHLS 18===
[[Image:VHF2L-18.png]]

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

|-valign="top"
|

===VHLS 19===
[[Image:VHF2L-19.png]]

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

|

===VHLS 20===
[[Image:VHF2L-20.png]]

{{Alg|y F U R U R' U' F'}}

|-valign="top"
|

|}

==References==

[[Category:3x3x3 last slot substeps]]

User:戴胜

2019-03-07T14:07:11Z

戴胜:

[[File:Bird-2052986 960 720.jpg]]

File:Bird-2052986 960 720.jpg

2019-03-07T14:06:05Z

戴胜:

User:戴胜

2019-03-07T14:04:05Z

戴胜: Created page with "File:https://cdn.pixabay.com/photo/2017/02/09/17/40/bird-2052986_960_720.jpg"

[[File:https://cdn.pixabay.com/photo/2017/02/09/17/40/bird-2052986_960_720.jpg]]

VHLS

2019-03-07T13:57:49Z

戴胜:

__NOTOC__
{{Substep Infobox
|name=VHLS
|image=Vh_method.gif
|proposers=[[Lars Vandenbergh]], [[Dan Harris]]
|steps=2
|anames=VHF2L
|algs=32
|moves=6.63 (11.27 including setup moves for one slot)
|purpose=[[Speedsolving]]
|previous=[[F2L-1+pair cube state]]
|next=[[LL:EO cube state]]
}}
'''VHLS''' (short for ''[[Vandenbergh-Harris]] Last Slot'') is a step of the [[Vandenbergh-Harris]] method that basically does the same thing as [[ZBLS]] using much fewer algorithms—the last slot is filled in while orienting the edges of the last layer. The reason why there are much fewer algorithms is because all of the cases have a F2L pair already or just one move away from making one. If the cube doesn't apply to that, you have to create a F2L pair or make it one move away.

{{Algnote}}

==Pair Connected==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

===VHLS 1===
[[Image:VHF2L-1.png]]

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

|

===VHLS 2===
[[Image:VHF2L-2.png]]

{{Alg|U (F' U F) (R U' R')}}
{{Alg|y U F R U' R' F'}}

|-valign="top"
|

===VHLS 3===
[[Image:VHF2L-3.png]]

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

===VHLS 4===
[[Image:VHF2L-4.png]]

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

|-valign="top"
|

===VHLS 5===
[[Image:VHF2L-5.png]]

{{Alg|R' F R F'}}

|

===VHLS 6===
[[Image:VHF2L-6.png]]

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

|-valign="top"
|

===VHLS 7===
[[Image:VHF2L-7.png]]

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

|

===VHLS 8===
[[Image:VHF2L-8.png]]

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

|-valign="top"
|

===VHLS 9===
[[Image:VHF2L-9.png]]

{{Alg|d' (L' U L)}}
{{Alg|U' F' U F}}

|

===VHLS 10===
[[Image:VHF2L-10.png]]

{{Alg|U' (R U' R') (F' U F)}}
{{Alg|U' F' L' U L F}}

|-valign="top"
|

===VHLS 11===
[[Image:VHF2L-11.png]]

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

|

===VHLS 12===
[[Image:VHF2L-12.png]]

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

|-valign="top"
|

===VHLS 13===
[[Image:VHF2L-13.png]]

{{Alg|F R' F' R}}

|

===VHLS 14===
[[Image:VHF2L-14.png]]

{{Alg|d U (R' U R U) (R B' R' B)}}
{{Alg|y L F' L2 U' L U F}}

|-valign="top"
|

===VHLS 15===
[[Image:VHF2L-15.png]]

{{Alg|d' (L' U' L U2) (L F' L' F)}}
{{Alg|y L U F' U' L2 U L F}}

|

===VHLS 16===
[[Image:VHF2L-16.png]]

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

|}

==Pair Separated==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
===VHLS 17===
[[Image:VHF2L-17.png]]

{{Alg|R U R'}}

|

===VHLS 18===
[[Image:VHF2L-18.png]]

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

|-valign="top"
|

===VHLS 19===
[[Image:VHF2L-19.png]]

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

|

===VHLS 20===
[[Image:VHF2L-20.png]]

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

|-valign="top"
|

|}

==References==

[[Category:3x3x3 last slot substeps]]

Summer Variation

2019-03-07T13:18:55Z

戴胜: /* Algorithms */

{{Substep Infobox
|name=Summer Variation
|image=
|proposers=[[Chester Lian]]
|year=2009
|anames=
|variants=
|steps=
|algs=54 (27 excluding mirrors)
|moves=9.4 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[SV setup cube case]]
|next=[[LL:EO+CO cube state]]
}}

'''Summer Variation''' is the 3x3x3 subset of [[HLS]] for orienting the last layer corners while solving the R U R' case (or the mirror) for the last slot's F2L pair. This set of algorithms could be learned as an addition to [[Winter Variation]].

==Identification==
It can be hard to distinguish between different Winter/Summer cases. They all look very similar. One way to identify each individual case when you are learning is to assign a number to each corner and remember which string of numbers corresponds to which algorithm. This is slow when starting, but eventually you wont think of the numbers anymore. The three number string in front of each algorithm refers to UFR, UBR,and UBL respectively, for winter variation and UBR,UBL, and UFL respectively for summer variation. The s and w after the three numbers means it is either summer or winter variation. A zero means that corner is correctly oriented, a 1 means one turn CCW and a 2 means one turn CW.

For example, after doing (R U R') we get case 100w. The first corner is turned CCW, 1, the other two are correctly oriented, 0 and 0, and it is a winter variation case. Another example, after doing (R U R' U R U R') we get case 012s. the first corner, in UBR, is correctly oriented, 0, the second is turned CCW, 1, and the last one is turned CW, 2, and it is a summer variation case. Conversely, a third example, case 102s means this is a summer variation, the "s" after it, and the first corner, in UBR, is turned CCW, the second, in UBL, is oriented, and the third in UFL is turned CW.

==Algorithms==
This set of algorithms maintains edge orientation, so they can be helpful when using methods such as [[Petrus]] or [[ZZ]] which already have the edges oriented on the [[LL]].

+++++++++++++++++++++++++++++++++++++++++++++++++++++++

000s (L' U2) (R U R') (U2 L) (U' R U R') or L R U' R' U L' U2 R U' R'

001s R U R' U R' U2 R U R' U R

002s R U R D R' U R D' R' U' R'

010s (U2 L) (R U'R')(U L')

011s R U' L' U L U2 R' L' U L

012s R U' R' U' R U' R'

020s R U R'

021s R U2 R' U' L' U R U' R' L

022s R U' R' L' U R U' R' L U' R U' R'

+++++++++++++++++++++++++++++++++++++++++++++++++++++++

100s R U R' U' R U R' U R U2 R'

101s R U2 R' U R U2 R'

102s R2 U R' U R' U' R2 U R' U' R U' R2

110s U L' R U R' U R U' R' U2 L

111s U2 L R U' R2 U L' U' R

112s R U2 R' U R U' R' U R U2 R'

120s R U' R D R' U2 R D' R2

121s R U R2 U2 R U R' U R

122s R U2 R D R' U' R D' R2

+++++++++++++++++++++++++++++++++++++++++++++++++++++++

200s R U L' U' L' U R' U' L U L

201s R U' R' U' R U R' U' R U' R'

202s R U' R2 U' R2 U' R2 U2 R

210s R U R2 U' R U' R' U2 R

211s R U' R' U' R U' R2 U' R U' R' U2 R

212s R U R' U R' U' R U' R' U2 R

220s R U R D' R U' R' D R U R

221s U' R U R D R' U R D' R2

222s R' U L U' R2 U R' L'

+++++++++++++++++++++++++++++++++++++++++++++++++++++++

== See also ==
* [[Advanced F2L]]
* [[Winter Variation]]
* [[ZZ]]

== External links ==
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=8820 COLS/"Summer Variation"/set of algs without a name]

[[Category:3x3x3 last slot substeps]]