Difference between revisions of "User:Stux/CFOP PLL Sheet"

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==Permutations of Edges Only==
 
==Permutations of Edges Only==
 
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).
 
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).
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{|border="0" width="100%" valign="top" cellpadding="3"
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|-valign="top"
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===H Permutation===
 
===H Permutation===
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}}
 
}}
 
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
 
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
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===Z Permutation===
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{{case
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|image=z.gif
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|name=Z-PLL
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|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
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|optimal=12 [[HTM]], 7 [[STM]]
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|text=
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}}
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{{Alg|U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL}}
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|-valign="top"
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|
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===U Permutation : a===
 
===U Permutation : a===
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}}
 
}}
 
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
 
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
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===U Permutation : b===
 
===U Permutation : b===
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{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
 
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
  
===Z Permutation===
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|}
{{case
 
|image=z.gif
 
|name=Z-PLL
 
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]
 
|optimal=12 [[HTM]], 7 [[STM]]
 
|text=
 
}}
 
{{Alg|U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL}}
 
  
 
==Permutations of Corners Only==
 
==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]].
 
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]].
  
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{|border="0" width="100%" valign="top" cellpadding="3"
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|-valign="top"
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|
 
===A Permutation : a===
 
===A Permutation : a===
 
{{case
 
{{case
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}}
 
}}
 
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
 
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
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===A Permutation : b===
 
===A Permutation : b===
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}}
 
}}
 
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
 
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
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|-valign="top"
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|
  
 
===E Permutation===
 
===E Permutation===
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}}
 
}}
 
{{Alg|l' U' L' U R U' L U R' U' L U R U' L' U (x')|PLL}}
 
{{Alg|l' U' L' U R U' L U R' U' L U R U' L' U (x')|PLL}}
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|}
  
 
==Permutations of Edges and Corners==
 
==Permutations of Edges and Corners==
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{|border="0" width="100%" valign="top" cellpadding="3"
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|-valign="top"
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|
  
 
===F Permutation===
 
===F Permutation===
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}}
 
}}
 
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|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|}}
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|-valign="top"
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===G Permutation : a===
 
===G Permutation : a===
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}}
 
}}
 
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
 
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
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|
  
 
===G Permutation : b===
 
===G Permutation : b===
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}}
 
}}
 
{{Alg|(y) F' U' F 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}}
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|-valign="top"
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|
  
 
===G Permutation : c===
 
===G Permutation : c===
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{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
 
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|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 (y) R U' R'|PLL}} -->
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|
  
 
===G Permutation : d===
 
===G Permutation : d===
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}}
 
}}
 
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
 
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
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|-valign="top"
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===J Permutation : a===
 
===J Permutation : a===
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}}
 
}}
 
{{Alg|R U' L' U R' U2 L U' L' U2 L|Alg.11|cube=3x3x3&stage=PLL}}
 
{{Alg|R U' L' U R' U2 L U' L' U2 L|Alg.11|cube=3x3x3&stage=PLL}}
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===J Permutation : b===
 
===J Permutation : b===
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}}
 
}}
 
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
 
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
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|-valign="top"
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|
  
 
===N Permutation : a===
 
===N Permutation : a===
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{{Alg|L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'|Alg.11|cube=3x3x3&stage=PLL}}
 
{{Alg|L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'|Alg.11|cube=3x3x3&stage=PLL}}
 
<!-- {{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}} -->
 
<!-- {{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}} -->
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===N Permutation : b===
 
===N Permutation : b===
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<!-- {{Alg|(L' U R' U2' L U' R)2|Alg.1(v4)|cube=3x3x3&stage=PLL}} -->  
 
<!-- {{Alg|(L' U R' U2' L U' R)2|Alg.1(v4)|cube=3x3x3&stage=PLL}} -->  
  
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|-valign="top"
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===R Permutation : a===
 
===R Permutation : a===
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{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
 
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
 
<!-- {{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|Alg.1(v4)|cube=3x3x3&stage=PLL}} -->
 
<!-- {{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|Alg.1(v4)|cube=3x3x3&stage=PLL}} -->
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===R Permutation : b===
 
===R Permutation : b===
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{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
  
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|-valign="top"
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===T Permutation===
 
===T Permutation===
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}}
 
}}
 
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|Alg.1|cube=3x3x3&stage=PLL}}
 
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|Alg.1|cube=3x3x3&stage=PLL}}
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===V Permutation===
 
===V Permutation===
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{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|Alg.1(v6)|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|Alg.1(v6)|cube=3x3x3&stage=PLL}}
  
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|-valign="top"
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===Y Permutation===
 
===Y Permutation===
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}}
 
}}
 
{{Alg|R' U' R F2 R' U R U F2 U' F2 U' F2|Alg.2|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U' R F2 R' U R U F2 U' F2 U' F2|Alg.2|cube=3x3x3&stage=PLL}}
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|}

Revision as of 17:22, 7 December 2019

PLL

edit

Permutations of edges only:

Permutations of corners only:

Permutations of corners and edges:

Permutations of Edges Only

This subgroup, EPLL is used as a substep for many speedsolving methods, for example in the VH method (COLL).

H Permutation

H.gif

Name: H-PLL, X-PLL
Used in: EPLL, CPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 10 HTM, 7 STM
X-PLL is H-PLL + U2.

Speedsolving Logo tiny.gif PLL R2 U2 R U2 R2 U2 R2 U2 R U2 R2



Z Permutation

Z.gif

Name: Z-PLL
Used in: EPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 12 HTM, 7 STM

Speedsolving Logo tiny.gif PLL U R' U' R U' R U R U' R' U R U R2 U' R' U




U Permutation : a

U1.gif

Name: U-PLL a
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif PLL R2 U' R' U' R U R U R U' R



U Permutation : b

U.gif

Name: U-PLL b
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif PLL R' U R' U' R' U' R' U R U R2


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 Permutation : a

A1.gif

Name: A-PLL a
Used in: CPLL, PLL, L3C, L4C, ZBLL, BLD
Optimal moves: 9 HTM

Speedsolving Logo tiny.gif PLL R' U2 R2 U' L' U R' U' L U R' U2 R


A Permutation : b

A.gif

Name: A-PLL b
Used in: CPLL, PLL, L3C, L4C, ZBLL, BLD
Optimal moves: 9 HTM

Speedsolving Logo tiny.gif PLL (y') R' U2 R U' L' U R U' L U R2 U2 R


E Permutation

E.gif

Name: E-PLL
Used in: CPLL, PLL, L4C, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL l' U' L' U R U' L U R' U' L U R U' L' U (x')


Permutations of Edges and Corners

F Permutation

F.gif

Name: F-PLL
Used in: PLL, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg.1 (R' U R U') R2 (F' U' F U) (R F R' F') R2 U'


G Permutation : a

G3.gif

Name: G-PLL a
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL (R U R' U' R') U F (R U R U' R') F' U R' U2 R


G Permutation : b

G2.gif

Name: G-PLL b
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL (y) F' U' F R2 u (R' U R U' R) u' R2'


G Permutation : c

G1.gif

Name: G-PLL c
Used in: PLL, ZBLL
Optimal moves: 12 HTM


Speedsolving Logo tiny.gif PLL L' U' L U L U' F' L' U' L' U L F U' L U2 L'


G Permutation : d

G.gif

Name: G-PLL d
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL (y') R' F' R F' U' L' U F R' F' L F2 R


J Permutation : a

J1.gif

Name: J-PLL a, L-perm
Used in: PLL, ZBLL, BLD
Optimal moves: 10 HTM

Speedsolving Logo tiny.gif Alg.11 R U' L' U R' U2 L U' L' U2 L


J Permutation : b

J.gif

Name: J-PLL b
Used in: PLL, ZBLL, BLD
Optimal moves: 10 HTM

Speedsolving Logo tiny.gif Alg.2 R U2 (R' U' R) U2 L' (U R' U') L


N Permutation : a

N1.gif

Name: N-PLL a
Used in: PLL, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg.11 L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'


N Permutation : b

N.gif

Name: N-PLL b
Used in: PLL, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg.11 R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U


R Permutation : a

R1.gif

Name: R-PLL a
Used in: PLL, ZBLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg.1(v7) F2 R' F' U' F' U F R F' U2 F U2 F'


R Permutation : b

R.gif

Name: R-PLL b
Used in: PLL, ZBLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg.1(v4) R' U2 R U2 R' F R U R' U' R' F' R2


T Permutation

T.gif

Name: T-PLL
Used in: PLL, ZBLL, ZZLL, BLD
Optimal moves: 11 HTM

Speedsolving Logo tiny.gif Alg.1 R U R' U' R' F R2 U' R' U' R U R' F'


V Permutation

V.gif

Name: V-PLL
Used in: PLL, ZBLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg.1(v6) R' U R' U' (y) R' F' R2 U' R' U R' F R F


Y Permutation

Y.gif

Name: Y-PLL
Used in: PLL, ZBLL, BLD
Optimal moves: 13 HTM

Speedsolving Logo tiny.gif Alg.2 R' U' R F2 R' U R U F2 U' F2 U' F2