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| + | <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 | | {{Substep Infobox |
| |name=PLL | | |name=PLL |
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| * [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version | | * [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] | | *[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series] |
| + | *[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs] |
| | | |
| =PLL algorithms= | | =PLL algorithms= |
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| |text= | | |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|(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|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}} |
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| |text= | | |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 (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 B U' B'|PLL}} |
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| |text= | | |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' (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) R U R' F2 D' (L U' L' U L') D F2|PLL}} |
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| |text= | | |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 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' r x|Alg.1|cube=3x3x3&stage=PLL}} |
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| {{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' 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|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' L U' R U2 L' 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|(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|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}} |
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| |text= | | |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 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|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}} |
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| |text= | | |text= |
| }} | | }} |
− | {{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|Alg.1|cube=3x3x3&stage=PLL}} | + | {{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')|Alg.1(v2)|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)|Alg.1(v3)|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|Alg.1(v4)|cube=3x3x3&stage=PLL}} | + | {{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}} |
− | {{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v5):Inv(Alg.1)|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) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v6):Inv(Alg.1(v4))|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|B2 R B U B U' B' R' B U2 B' U2 B|Alg.1(v7)|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|Alg.1(v8)|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|Alg.1(v9)|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}} |
− | Decomposition(Alg.1) = [R', U2] [R' F R, U R' U'] [U R': (U')]
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− | {{Alg|B2 L2 U' B' U' B U B U L2 B U' B U|Alg.2|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' U R' B2 U' R' U' R' U R U B2 R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) R2 B2 U' R' U' R U R U B2 R U' R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.2) = [R' U: [R' B2 U' R' U': (R')] [R, U'] ]
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− | {{Alg|B' U' B L B' U2 B U2 B L' B' U' B' U2 B U|Alg.3|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) R' U' R B R' U2 R U2 R B' R' U' R' U2 R|Alg.3(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.3) = [B' U' B L B' U2, B] [U2, B'] (U)
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− | {{Alg|R' U2 R U R B R' U2 R' U2 R B' R' U R U'|Alg.4|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.4) = [R': [U2 R U2, U' R B R'] ] (U')
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− | {{Alg|L U L' U2 L' U2 R L2 U' L' U L' R' U2 L U2|Alg.5|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y2) R U R' U2 R' U2 L R2 U' R' U R' L' U2 R|Alg.5(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.5) = [L: (U)] [U2, L'] [R: [L, U'] ] [L', U2]
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− | {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.6|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.6) = [U R': [R, U'] [U, R' D' R] [U R: (U')] ]
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− | {{Alg|B' U B U B' U' B' D' B U B' D B U2 B U|Alg.7|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) R' U R U R' U' R' D' R U R' D R U2 R|Alg.7(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.7) = [B': [U B: (U)] [B' D' B, U] [U', B] ]
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− | {{Alg|F L U L' F L U' F U F U' F' L' F2|Alg.8|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y' x) R U B U' R U (x') U' R U R U' R' F' R2|Alg.8(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.8) = [F2 L: [L' F' L, U] [F U: (F)] ]
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− | {{Alg|R' U2 R U' F' L F R' F' L' F U' R U'|Alg.9|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' U2 R U' (y') R' F R B' R' F' R (z x') R' U (x z')|Alg.9(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.9) = [R' U R: [R', U] [F' L F, R'] ] (U')
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− | {{Alg|L' U2 L2 F' L' F L' U2 L B L U' L' U' L U L' B'|Alg.10|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y2) R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|Alg.10(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.10) = [L' U2 L: [L, F'] ] [B L: [U' L': (U')] ]
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− | {{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.11|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.11) = [R' U2: [R' D' R, U'] [R, U'] ] (U')
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− | {{Alg|(y') (R U2 R' U' R U' R')(R U R' U' R' F R2 U' R' U' R U R' F')(R U R' U R U2 R')|Alg.12|cube=3x3x3&stage=PLL}}
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| | | |
| ===T Permutation=== | | ===T Permutation=== |
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| |name=T-PLL | | |name=T-PLL |
| |methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]] | | |methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]] |
− | |optimal=10 [[HTM]] | + | |optimal=11 [[HTM]] |
| |text= | | |text= |
| }} | | }} |
− | {{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'|PLL|cube=3x3x3&stage=PLL}} |
− | {{Alg|F R U' R' U R U R2 F' R U R U' R'|Alg.1(v2):Inv(Alg.1)|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|(y2) B L U' L' U L U L2 B' L U L U' L'|Alg.1(v3):Inv(Alg.1)|cube=3x3x3&stage=PLL}} | + | {{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}} |
− | Decomposition(Alg.1) = [R, U] [F: [F', R'] [R U' R': (U')] ]
| + | {{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}} |
− | {{Alg|R' U' R U R B' R2 U R U R' U' R B|Alg.2|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}} |
− | {{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|Alg.2(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.2) = [R', U'] [B': [B, R] [R' U R: (U)] ]
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− | {{Alg|R2 U R2 U' R2' U' D R2 U' R2' U R2 D'|Alg.3|cube=3x3x3&stage=PLL}}
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− | {{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|Alg.3(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.3) = [R2, U] [D R2: [R2, D'] [U' R2: (U')] ]
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− | {{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|Alg.4|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2|Alg.4(v2)|cube=3x3x3&stage=PLL}} | |
− | {{Alg|R2 U' R2 D B2 L2 U L2 D' B2|Alg.4(v3)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.4) = [U': [U, R2] [B2 D: [D', B2] [L2: (U)] ] ]
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− | {{Alg|R2 D' F2 U F2 R2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
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− | {{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.5) = [R2 D' F2: (U)] [R2, D'] [B2, U']
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− | {{Alg|R2 D' F2 D R2 B2 D L2 D' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 (z')|Alg.6(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.6) = [R2 D': F2] [B2 D: L2] (U)
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− | {{Alg|R U R' U' R2 D R' U' R' U' R U R2 D' R|Alg.7|cube=3x3x3&stage=PLL}}
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− | {{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|Alg.7(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.7) = [R, U] [R' D R': [R, D'] [R' U' R': (U')] ]
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− | {{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|Alg.8|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.8) = [R2: [U, R2] [F2: (U')] [D, R2] ]
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− | {{Alg|F' U F' L2 B D' B' L2 F2 U' S' U2 S U2|Alg.9|cube=3x3x3&stage=PLL}}
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− | {{Alg|y' L U' r U2 l' U l U2 x r2' (U M U2 M')|Alg.9(v1):Mirr(Alg9)|cube=3x3x3&stage=PLL}}
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− | {{Alg|y x r' U r' d2 r U' r' d2 r2 x' U' M' U2 M|Alg.9(v2)|vidurl=https://www.youtube.com/watch?v=pe2d2ZpYNco}}
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− | Decomposition(Alg.9) = [F', U] [U F2 L2 B: (D')] [S', U2]
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− | {{Alg|R U R' U' R' F R F' R' F R F' U' F' U F U'|Alg.10|cube=3x3x3&stage=PLL}}
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− | {{Alg|(R U R' U') (R' F R F')2 (y') (x') F' (R' F R F') (x) (y)|Alg.10(v1)|cube=3x3x3&stage=PLL}}
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| | | |
| ===V Permutation=== | | ===V Permutation=== |
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| |text= | | |text= |
| }} | | }} |
− | {{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|Alg.1|cube=3x3x3&stage=PLL}} | + | {{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|Alg.1(v2)|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' (y) U' R' F' R2 U' R' U R' F R F|Alg.1(v3)|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|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|Alg.1(v4)|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' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|Alg.1(v5)|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}} |
− | {{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' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}} |
− | Decomposition(Alg.1) = [R2: [R, U] [B': (R')] [B, U'] [B', R] ]
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− | {{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|Alg.2|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|Alg.2(v3)|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|Alg.2(v4)|cube=3x3x3&stage=PLL}} | |
− | {{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|Alg.2(v5)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.2) = [R2: [R, U] [B': [D, B'] [B: (R')] ] [B', R] ]
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− | {{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|Alg.3|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.3) = [R', U2] [L U' R' U L': (U)]
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− | {{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|Alg.4|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.4) = [R2: [U', B2] [R D': (R)] [U, R] ]
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− | {{Alg|F' U B U' F U F' U B' U' F U2 B U2 B'|Alg.5|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) r' F R F' r U r' F R' F' r U2 R U2 R'|Alg.5(v3)|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|Alg.5(v4)|cube=3x3x3&stage=PLL}} | |
− | {{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' (z')|Alg.5(v5)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.5) = [F' U B U' F: (U)] [U2, B]
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− | {{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|Alg.6|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|Alg.6(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.6) = [L U' R' U L': (U')] [U2, R']
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− | {{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|Alg.7|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.7) = [U: [U': (R)] [D: [D', U R'] [R: [U', R] ] [D: [R', U']] ] ]
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− | {{Alg|(y) R U' R U (y) L D' L D L2 (y') R F R' F' R'|Alg.8|cube=3x3x3&stage=PLL}}
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| | | |
| ===Y Permutation=== | | ===Y Permutation=== |
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| |text= | | |text= |
| }} | | }} |
− | {{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|Alg.1|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}} | + | {{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}} |
− | Decomposition(Alg.1) = [F R U' R': (U')] [R, U] [R', F]
| + | {{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 |Alg.1(vns)|cube=3x3x3&stage=PLL}}
| + | {{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}} |
− | {{Alg|R' U' R F2 R' U R U F2 U' F2 U' F2|Alg.2|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|Alg.2(v2)|cube=3x3x3&stage=PLL}}
| + | {{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}} |
− | Decomposition(Alg.2) = [F2: [F2, R' U' R] [U F2: (U')] ]
| + | {{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 U F U F' R2 F U' F'|Alg.3|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 d R U R' B2 R U' R'|Alg.3(v2)|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|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|Alg.3(v3)|cube=3x3x3&stage=PLL}}
| + | {{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}} |
− | Decomposition(Alg.3) = [R2: [U' R2: (U')] [F U F', R2] ]
| + | {{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}} |
− | {{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|Alg.4|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.4) = [F2: [D R2: (U)] [R' U' R, F2] ]
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− | {{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|Alg.5|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.5) = [F2: [F', R'] [R U' R': (U')] [F': [R, U] ] ]
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− | {{Alg|F R' F' R U R U' R2 U' R U R B' R' B U|Alg.6|cube=3x3x3&stage=PLL}}
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− | {{Alg|F R' F' R U R U' R2 U' R U l U' R' U (x)|Alg.6(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.6) = [F, R'] [U, R] [R', U'] [R, B'] (U)
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− | {{Alg|F R U' R' U' R U F U F' R' F U' F2|Alg.7|cube=3x3x3&stage=PLL}}
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− | {{Alg|F R U' R' U' R d R U R' B' R U' R2|Alg.7(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.7) = [F: [R, U'] [U2, R] [R: [U', F] ] [F: (U')] ]
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− | {{Alg|R' F R F' U' F' U F2 U F' U' F' L F L' U'|Alg.8|cube=3x3x3&stage=PLL}}
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− | {{Alg|R' F R F' (y') U' R' U R2 U R' U' R' F R F'|Alg.8(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.8) = [R', F] [U', F'] [F, U] [F', L] (U')
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− | {{Alg|R' F' U F U F' U' F R F' U' F U F R' F' R|Alg.9|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.9) = [R' F' U F: (U)] [F', U'] [F, R']
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− | {{Alg|F2 U F U' F' U L F R' F R F L' F'|Alg.10|cube=3x3x3&stage=PLL}} | |
− | {{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|Alg.10(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.10) = [F2: [U, F] (U) [L F: [R', F] ] [L, F'] ]
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− | {{Alg|R2 U' R' U R U' B' R' F R' F' R' B R|Alg.11|cube=3x3x3&stage=PLL}}
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− | {{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|Alg.11(v2)|cube=3x3x3&stage=PLL}}
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− | {{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|Alg.11(v3)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.11) = [R: [R, U'] [R: (U')] ] [R2, B'] [B': [R, F] [R', B] ]
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− | {{Alg|F R U' R' F D R' B' R' B R2 D' F2|Alg.12|cube=3x3x3&stage=PLL}}
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− | {{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|Alg.12(v2)|cube=3x3x3&stage=PLL}}
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− | Decomposition(Alg.12) = [F R: (U')] [F2 D R2: [R, B'] ]
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− | {{Alg|R' U' R2 U' L U2 R' U R U2 L' R' U R' U R|Alg.13|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y2 z) U' R' U2 R' D R2 U' R U R2 U' D' R U' R U (z')|Alg.13(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.13) = [R' U' R2: [U' L U2 R': (U)] [U', R'] ]
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− | {{Alg|F R F' U' F R' F' R B' R2 B R' U' R2 U|Alg.14|cube=3x3x3&stage=PLL}}
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− | {{Alg|(y) r U r' U' r U' r' (y') l U' R2 U l' U' R2|Alg.14(v2)|cube=3x3x3&stage=PLL}} | |
− | Decomposition(Alg.14) = [F R F': (U')] [R: [B', R2] ] [R2, U']
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− | {{Alg|U F' L F L' U' L' U L U2 R U R' U' R' F R F'|Alg.15|cube=3x3x3&stage=PLL}}
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| | | |
| {{PLL}} | | {{PLL}} |
− |
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| [[Category:3x3x3 last layer substeps]] | | [[Category:3x3x3 last layer substeps]] |