Difference between revisions of "OLC"
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− | '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a | + | #REDIRECT [[Corner_Orientation#OLC_Algorithms]] |
+ | |||
+ | '''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZ-reduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL. | ||
+ | |||
+ | {{merge|Corner_Orientation#OCLL-EPP|OCLL-EPP}} | ||
== OLC Algorithms == | == OLC Algorithms == | ||
Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune). | Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune). | ||
− | Odds of skipping this step | + | Odds of skipping this step are 1/27. |
=== OLC 1 === | === OLC 1 === | ||
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|text= | |text= | ||
}} | }} | ||
− | {{Alg|R U' L' U R' U' L}} | + | {{Alg|R U' L' U R' U' L|OLL}} |
− | {{Alg|y2 R' U L U' R U L'}} | + | {{Alg|y2 R' U L U' R U L'|OLL}} |
− | {{Alg|U R U' L' U R' U' L}} | + | {{Alg|U R U' L' U R' U' L|OLL}} |
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|text= | |text= | ||
}} | }} | ||
− | {{Alg|L' U R U' L U R'}} | + | {{Alg|L' U R U' L U R'|OLL}} |
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|text= | |text= | ||
}} | }} | ||
− | {{Alg|y F (R U R' U')3 F'}} | + | {{Alg|y F (R U R' U')3 F'|OLL}} |
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}} | }} | ||
{{Alg|f (R U R' U') F f' (R U R' U') F'}} | {{Alg|f (R U R' U') F f' (R U R' U') F'}} | ||
− | {{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2}} | + | {{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2|OLL}} |
=== OLL 23 === | === OLL 23 === | ||
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|text= | |text= | ||
}} | }} | ||
+ | {{Alg|R2' D' R U2 R' D R U2 R|OLL}} | ||
+ | {{Alg|y' F L' D2 L U2 L' D2 L U2 F'|OLL}} | ||
+ | {{Alg|y' B L2 B R2 B F2 R2 B L2 F2|OLL}} | ||
+ | {{Alg|y' B' F2 R2 B L2 B' R2 B L2 F2|OLL}} | ||
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}} | {{Alg|L2 D L' U2 L D' L' U2 L'|OLL}} | ||
{{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}} | {{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}} | ||
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}} | {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}} | ||
− | |||
− | |||
{{Alg|R2 D R' U2' R D' R' U2 R'|OLL}} | {{Alg|R2 D R' U2' R D' R' U2 R'|OLL}} | ||
{{Alg|F R U' R' U R U R' U R U' R' F'|OLL}} | {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}} | ||
− | |||
{{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}} | {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}} | ||
− | |||
{{Alg|l2 U' R D2 R' U R D2 R|OLL}} | {{Alg|l2 U' R D2 R' U R D2 R|OLL}} | ||
− | {{Alg|l2' U' z' U R2 U' L U R2 z' | + | {{Alg|l2' U' z' U R2 U' L U R2 U z'|OLL}} |
− | {{Alg|R2' B2 R F2' R' B2 R F2' R|OLL | + | {{Alg|y2 R2' B2 R F2' R' B2 R F2' R|OLL}} |
− | |||
{{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}} | {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}} | ||
+ | {{Alg|y' F' L2 F' R2 B2 F' R2 F' L2 B2|OLL}} | ||
=== OLL 24 === | === OLL 24 === | ||
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{{Alg|r U R' U' L' U R U' x'|OLL}} | {{Alg|r U R' U' L' U R U' x'|OLL}} | ||
{{Alg|r U R' U' r' F R F'|OLL}} | {{Alg|r U R' U' r' F R F'|OLL}} | ||
− | {{Alg|(y' x') R U R' D R U' R' D' |OLL}} | + | {{Alg|(y' x') R U R' D R U' R' D'|OLL}} |
{{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}} | {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}} | ||
− | |||
− | |||
{{Alg|(y x) D' R' U R D R' U' R x'|OLL}} | {{Alg|(y x) D' R' U R D R' U' R x'|OLL}} | ||
{{Alg|(y x) D L U' L' D' L U L' x' |OLL}} | {{Alg|(y x) D L U' L' D' L U L' x' |OLL}} | ||
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|text= | |text= | ||
}} | }} | ||
− | {{Alg|y' F' r U R' U' r' F R}} | + | {{Alg|y' F' r U R' U' r' F R|OLL}} |
{{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}} | {{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}} | ||
{{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}} | {{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}} | ||
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{{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}} | {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}} | ||
{{Alg|y R U R' U' R' F R U R U' R' F'|OLL}} | {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}} | ||
+ | |||
+ | [[Category:3x3x3 last layer substeps]] |
Latest revision as of 16:58, 28 March 2020
Redirect to:
Orient Last Corners (OLC), also known as Orient Last 4 Corners (OL4C), is a subset of OLL used in ZZ-reduction following Phasing that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited PLL set of 9 cases, down from 21 in full PLL.
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OLC Algorithms
Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).
Odds of skipping this step are 1/27.
OLC 1
Probability 4/27
Name: S, Sune, Swimming Left |
OLL | R U' L' U R' U' L |
OLL | y2 R' U L U' R U L' |
OLL | U R U' L' U R' U' L |
OLC 2
Probability 4/27
Name: -S, Antisune, Swimming Right |
OLL | L' U R U' L U R' |
OLC 3
Probability 2/27
Name: H, Double Sune, Flip, Cross |
OLL | y F (R U R' U')3 F' |
OLC 4
Probability 4/27
Name: pi, Bruno, wheel, T-shirt |
Alg | f (R U R' U') F f' (R U R' U') F' |
OLL | y U L' U2 L2 U L2 U L2 U2 L' U2 |
OLL 23
Probability 4/27
Name: U, Headlights, Superman |
OLL | R2' D' R U2 R' D R U2 R |
OLL | y' F L' D2 L U2 L' D2 L U2 F' |
OLL | y' B L2 B R2 B F2 R2 B L2 F2 |
OLL | y' B' F2 R2 B L2 B' R2 B L2 F2 |
OLL | L2 D L' U2 L D' L' U2 L' |
OLL | (y2) R' F2 R U2 R U2 R' F2 R U2 R' |
OLL | (y2) R2 D R' U2 R D' R' U2 R' |
OLL | R2 D R' U2' R D' R' U2 R' |
OLL | F R U' R' U R U R' U R U' R' F' |
OLL | (R' U' R U') R' U2 R2 U (R' U R U2 R') |
OLL | l2 U' R D2 R' U R D2 R |
OLL | l2' U' z' U R2 U' L U R2 U z' |
OLL | y2 R2' B2 R F2' R' B2 R F2' R |
OLL | (x) R' B2' (R U' R' U) B2' (U' R U) |
OLL | y' F' L2 F' R2 B2 F' R2 F' L2 B2 |
OLL 24
Probability 4/27
Name: T, chameleon, shark, Hammerhead, Little Horse, stingray |
OLL | r U R' U' L' U R U' x' |
OLL | r U R' U' r' F R F' |
OLL | (y' x') R U R' D R U' R' D' |
OLL | (y') F R U R' U' R U' R' U' R U R' F' |
OLL | (y x) D' R' U R D R' U' R x' |
OLL | (y x) D L U' L' D' L U L' x' |
OLL | (y x') U' R' D R U R' D' R x |
OLL | (y2) R' F' L F R F' L' F |
OLL | (y2) R' F' r U R U' r' F |
OLL | (y2) l' U' L U R U' r' F |
OLL | (y') l U l' F R B' R' F' |
OLL 25
Probability 4/27
Name: L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship |
OLL | y' F' r U R' U' r' F R |
OLL | R U2 R' U' (R U R' U') (R U R' U') R U' R' |
OLL | R U R' U (R U' R' U) (R U' R' U) R U2 R' |
OLL | y2 R' F R B' R' F' R B |
OLL | y2 F R' F' L F R F' L' |
OLL | y F' L F R' F' L' F R |
OLL | y' F' r U R' U' r' F R |
OLL | y' x U R' U' L U R U' r' |
OLL | R' F' L' F R F' L F |
OLL | y2 R U2' R D R' U2 R D' R2' |
OLL | y2 F R' F' r U R U' r' |
OLL | y2 l' U R D' R' U' R D x' |
OLL | y2 x' L' U' R' U L U' R U |
OLL | x' D R U R' D' R U' l' |
OLL | x' U L' U' R U L U' l' |
OLL | x' R' D R U' R' D' R U x |
OLL | x R' U R D' R' U' R D x' |
OLL | y2 x L U' L' D L U L' D' x' |
OLL | l' U' L' U R U' L U x' |
OLL | U r U R U' L' U R' U' x' |
OLL | R U2 R' U' (R U R' U')2 R U' R' |
OLL | y2 L' R U R' U' L U R U' R' |
OLL | F R B R' F' l U' l' |
OLL | U R U2 R' L' U' L U' R U' R' L' U2 L |
OLL | y R U R' U' R' F R U R U' R' F' |