https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=Villyer 2026-10-29T04:18:54Z User contributions MediaWiki 1.43.8 https://www.speedsolving.com/wiki/index.php?title=OL4C&diff=24011 2014-06-19T22:06:14Z

<p>Villyer: /* OLL 23 */</p> <hr /> <div>'''O'''rient '''l'''ast '''4''' '''c'''orners (OL4C), or just '''o'''rient '''l'''ast '''c'''orners (OLC), is a last layer step 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.<br /> <br /> == OL4C Algorithms ==<br /> Of the 7 OLLs in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> === OL4C 1 ===<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L}}<br /> {{Alg|y2 R' U L U' R U L'}}<br /> {{Alg|U R U' L' U R' U' L}}<br /> <br /> <br /> === OL4C 2 ===<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'}}<br /> <br /> <br /> === OL4C 3 ===<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'}}<br /> <br /> <br /> === OL4C 4 ===<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'}}<br /> <br /> <br /> === OLL 23 ===<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br /> {{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|R2 D R' U2' R D' R' U2 R'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 z' R|OLL}}<br /> {{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> <br /> === OLL 24 ===<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U' L' U R U' x'|OLL}}<br /> {{Alg|r U R' U' r' F R F'|OLL}}<br /> {{Alg|(y' x') R U R' D R U' R' D' |OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}}<br /> {{Alg|(y x) D' R' U R D R' U' R x'|OLL}}<br /> {{Alg|(y x) D L U' L' D' L U L' x' |OLL}}<br /> {{Alg|(y x') U' R' D R U R' D' R x|OLL}}<br /> {{Alg|(y2) R' F' L F R F' L' F|OLL}}<br /> {{Alg|(y2) R' F' r U R U' r' F|OLL}}<br /> {{Alg|(y2) l' U' L U R U' r' F|OLL}}<br /> {{Alg|(y') l U l' F R B' R' F'|OLL}}<br /> <br /> === OLL 25 ===<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R}}<br /> {{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}}<br /> {{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}}<br /> {{Alg|y2 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|OLL}}<br /> {{Alg|y' F' r U R' U' r' F R|OLL}}<br /> {{Alg|y' x U R' U' L U R U' r'|OLL}}<br /> {{Alg|R' F' L' F R F' L F|OLL}}<br /> {{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br /> {{Alg|y2 F R' F' r U R U' r'|OLL}}<br /> {{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br /> {{Alg|x' D R U R' D' R U' l'|OLL}}<br /> {{Alg|x' U L' U' R U L U' l'|OLL}}<br /> {{Alg|x' R' D R U' R' D' R U x|OLL}}<br /> {{Alg|x R' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br /> {{Alg|l' U' L' U R U' L U x'|OLL}}<br /> {{Alg|U r U R U' L' U R' U' x'|OLL}}<br /> {{Alg|R U2 R' U' (R U R' U')2 R U' R'|OLL}}<br /> {{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br /> {{Alg|F R B R' F' l U' l'|OLL}}<br /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div>

Villyer https://www.speedsolving.com/wiki/index.php?title=OL4C&diff=24010 2014-06-19T21:53:09Z

<p>Villyer: /* OLL 24 */</p> <hr /> <div>'''O'''rient '''l'''ast '''4''' '''c'''orners (OL4C), or just '''o'''rient '''l'''ast '''c'''orners (OLC), is a last layer step 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.<br /> <br /> == OL4C Algorithms ==<br /> Of the 7 OLLs in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> === OL4C 1 ===<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L}}<br /> {{Alg|y2 R' U L U' R U L'}}<br /> {{Alg|U R U' L' U R' U' L}}<br /> <br /> <br /> === OL4C 2 ===<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'}}<br /> <br /> <br /> === OL4C 3 ===<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'}}<br /> <br /> <br /> === OL4C 4 ===<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'}}<br /> <br /> <br /> === OLL 23 ===<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br /> {{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(y') R U R' U' (R U' R' U2) (R U' R' U2) R U R'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|R' U L' U R U' L U2 R' U R|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br /> {{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|R d' R' U R d R' (y) R' U2 R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> <br /> === OLL 24 ===<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U' L' U R U' x'|OLL}}<br /> {{Alg|r U R' U' r' F R F'|OLL}}<br /> {{Alg|(y' x') R U R' D R U' R' D' |OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}}<br /> {{Alg|(y x) D' R' U R D R' U' R x'|OLL}}<br /> {{Alg|(y x) D L U' L' D' L U L' x' |OLL}}<br /> {{Alg|(y x') U' R' D R U R' D' R x|OLL}}<br /> {{Alg|(y2) R' F' L F R F' L' F|OLL}}<br /> {{Alg|(y2) R' F' r U R U' r' F|OLL}}<br /> {{Alg|(y2) l' U' L U R U' r' F|OLL}}<br /> {{Alg|(y') l U l' F R B' R' F'|OLL}}<br /> <br /> === OLL 25 ===<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R}}<br /> {{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}}<br /> {{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}}<br /> {{Alg|y2 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|OLL}}<br /> {{Alg|y' F' r U R' U' r' F R|OLL}}<br /> {{Alg|y' x U R' U' L U R U' r'|OLL}}<br /> {{Alg|R' F' L' F R F' L F|OLL}}<br /> {{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br /> {{Alg|y2 F R' F' r U R U' r'|OLL}}<br /> {{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br /> {{Alg|x' D R U R' D' R U' l'|OLL}}<br /> {{Alg|x' U L' U' R U L U' l'|OLL}}<br /> {{Alg|x' R' D R U' R' D' R U x|OLL}}<br /> {{Alg|x R' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br /> {{Alg|l' U' L' U R U' L U x'|OLL}}<br /> {{Alg|U r U R U' L' U R' U' x'|OLL}}<br /> {{Alg|R U2 R' U' (R U R' U')2 R U' R'|OLL}}<br /> {{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br /> {{Alg|F R B R' F' l U' l'|OLL}}<br /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div>

Villyer https://www.speedsolving.com/wiki/index.php?title=OL4C&diff=24008 2014-06-19T06:02:44Z

<p>Villyer: /* OLL 25 */</p> <hr /> <div>'''O'''rient '''l'''ast '''4''' '''c'''orners (OL4C), or just '''o'''rient '''l'''ast '''c'''orners (OLC), is a last layer step 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.<br /> <br /> == OL4C Algorithms ==<br /> Of the 7 OLLs in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> === OL4C 1 ===<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L}}<br /> {{Alg|y2 R' U L U' R U L'}}<br /> {{Alg|U R U' L' U R' U' L}}<br /> <br /> <br /> === OL4C 2 ===<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'}}<br /> <br /> <br /> === OL4C 3 ===<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'}}<br /> <br /> <br /> === OL4C 4 ===<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'}}<br /> <br /> <br /> === OLL 23 ===<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br /> {{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(y') R U R' U' (R U' R' U2) (R U' R' U2) R U R'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|R' U L' U R U' L U2 R' U R|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br /> {{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|R d' R' U R d R' (y) R' U2 R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> <br /> === OLL 24 ===<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U' R' F R F'}}<br /> {{Alg|r U R' U' L' U R U' x'|OLL}}<br /> {{Alg|r U R' U' r' F R F'|OLL}}<br /> {{Alg|(y' x') R U R' D R U' R' D' |OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}}<br /> {{Alg|(y') R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br /> {{Alg|(y x) D' R' U R D R' U' R x'|OLL}}<br /> {{Alg|(y x) D L U' L' D' L U L' x' |OLL}}<br /> {{Alg|(y x') U' R' D R U R' D' R x|OLL}}<br /> {{Alg|(y2) R' F' L F R F' L' F|OLL}}<br /> {{Alg|(y2) R' F' r U R U' r' F|OLL}}<br /> {{Alg|(y2) l' U' L U R U' r' F|OLL}}<br /> {{Alg|(y') l U l' F R B' R' F'|OLL}}<br /> <br /> === OLL 25 ===<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R}}<br /> {{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}}<br /> {{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}}<br /> {{Alg|y2 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|OLL}}<br /> {{Alg|y' F' r U R' U' r' F R|OLL}}<br /> {{Alg|y' x U R' U' L U R U' r'|OLL}}<br /> {{Alg|R' F' L' F R F' L F|OLL}}<br /> {{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br /> {{Alg|y2 F R' F' r U R U' r'|OLL}}<br /> {{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br /> {{Alg|x' D R U R' D' R U' l'|OLL}}<br /> {{Alg|x' U L' U' R U L U' l'|OLL}}<br /> {{Alg|x' R' D R U' R' D' R U x|OLL}}<br /> {{Alg|x R' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br /> {{Alg|l' U' L' U R U' L U x'|OLL}}<br /> {{Alg|U r U R U' L' U R' U' x'|OLL}}<br /> {{Alg|R U2 R' U' (R U R' U')2 R U' R'|OLL}}<br /> {{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br /> {{Alg|F R B R' F' l U' l'|OLL}}<br /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div>

Villyer https://www.speedsolving.com/wiki/index.php?title=OL4C&diff=24007 2014-06-19T05:51:56Z

<p>Villyer: /* OLL 25 */</p> <hr /> <div>'''O'''rient '''l'''ast '''4''' '''c'''orners (OL4C), or just '''o'''rient '''l'''ast '''c'''orners (OLC), is a last layer step 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.<br /> <br /> == OL4C Algorithms ==<br /> Of the 7 OLLs in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).<br /> <br /> === OL4C 1 ===<br /> {{case<br /> |image=o27.gif<br /> |name=S, Sune, Swimming Left<br /> |methods=[[ZZ-reduction]]<br /> |text=<br /> }}<br /> {{Alg|R U' L' U R' U' L}}<br /> {{Alg|y2 R' U L U' R U L'}}<br /> {{Alg|U R U' L' U R' U' L}}<br /> <br /> <br /> === OL4C 2 ===<br /> {{case<br /> |image=o26.gif<br /> |name=-S, Antisune, Swimming Right<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L' U R U' L U R'}}<br /> <br /> <br /> === OL4C 3 ===<br /> {{case<br /> |image=o21.gif<br /> |name=H, Double Sune, Flip, Cross<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]], ? [[STM]]<br /> |text=<br /> }}<br /> {{Alg|y F (R U R' U')3 F'}}<br /> <br /> <br /> === OL4C 4 ===<br /> {{case<br /> |image=o22.gif<br /> |name=pi, Bruno, wheel, T-shirt<br /> |methods=[[ZZ-reduction]]<br /> |optimal=? [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|f (R U R' U') F f' (R U R' U') F'}}<br /> <br /> <br /> === OLL 23 ===<br /> {{case<br /> |image=o23.gif<br /> |name=U, [[Headlights]], Superman<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=9 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br /> {{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br /> {{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}}<br /> {{Alg|R2' D' R U2 R' D R U2 R|OLL}}<br /> {{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br /> {{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}<br /> {{Alg|(y') R U R' U' (R U' R' U2) (R U' R' U2) R U R'|OLL}}<br /> {{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}<br /> {{Alg|R' U L' U R U' L U2 R' U R|OLL}}<br /> {{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br /> {{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br /> {{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br /> {{Alg|R d' R' U R d R' (y) R' U2 R|OLL}}<br /> {{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}<br /> <br /> === OLL 24 ===<br /> {{case<br /> |image=o24.gif<br /> |name=T, chameleon, shark, Hammerhead, Little Horse, stingray<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|r U R' U' R' F R F'}}<br /> {{Alg|r U R' U' L' U R U' x'|OLL}}<br /> {{Alg|r U R' U' r' F R F'|OLL}}<br /> {{Alg|(y' x') R U R' D R U' R' D' |OLL}}<br /> {{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}}<br /> {{Alg|(y') R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br /> {{Alg|(y x) D' R' U R D R' U' R x'|OLL}}<br /> {{Alg|(y x) D L U' L' D' L U L' x' |OLL}}<br /> {{Alg|(y x') U' R' D R U R' D' R x|OLL}}<br /> {{Alg|(y2) R' F' L F R F' L' F|OLL}}<br /> {{Alg|(y2) R' F' r U R U' r' F|OLL}}<br /> {{Alg|(y2) l' U' L U R U' r' F|OLL}}<br /> {{Alg|(y') l U l' F R B' R' F'|OLL}}<br /> <br /> === OLL 25 ===<br /> {{case<br /> |image=o25.gif<br /> |name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship<br /> |methods=[[OCLL]], [[OLL]]<br /> |optimal=8 [[HTM]]<br /> |text=<br /> }}<br /> {{Alg|y' F' r U R' U' r' F R}}<br /> {{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}}<br /> {{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}}<br /> {{Alg|y2 R' F R B' R' F' R B|OLL}}<br /> {{Alg|y2 F R' F' L F R F' L'|OLL}}<br /> {{Alg|y F' L F R' F' L' F R|OLL}}<br /> {{Alg|y' F' r U R' U' r' F R|OLL}}<br /> {{Alg|y' x U R' U' L U R U' r'|OLL}}<br /> {{Alg|R' F' L' F R F' L F|OLL}}<br /> {{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br /> {{Alg|y2 F R' F' r U R U' r'|OLL}}<br /> {{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br /> {{Alg|x' D R U R' D' R U' l'|OLL}}<br /> {{Alg|x' U L' U' R U L U' l'|OLL}}<br /> {{Alg|x' R' D R U' R' D' R U x|OLL}}<br /> {{Alg|x R' U R D' R' U' R D x'|OLL}}<br /> {{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br /> {{Alg|l' U' L' U R U' L U x'|OLL}}<br /> {{Alg|U r U R U' L' U R' U' x'|OLL}}<br /> {{Alg|R U2 R' U' (R U R' U')2 R U' R'|OLL}}<br /> {{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br /> {{Alg|F R B R' F' l U' l'|OLL}}<br /> {{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}<br /> {{Alg|F R U' R' U' R U2 R' U' F'|OLL}}<br /> {{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}</div>

Villyer