https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=ThomasJE Speedsolving.com Wiki - User contributions [en] 2026-10-26T12:19:44Z User contributions MediaWiki 1.43.8 https://www.speedsolving.com/wiki/index.php?title=Africa&diff=23824 Africa 2014-04-20T11:08:34Z <p>ThomasJE: </p> <hr /> <div>'''Africa''' is a continent. Africa held its first [[WCA]] competition, the South Africa Open, on the 11th January and was the last continent to hold its first competition. All African continental and national records had previously been set by African nationals competing outside Africa.<br /> <br /> [[WCA]] recognizes the following countries in Africa:<br /> <br /> == Countries in Africa ==<br /> * [[Algeria]]<br /> * [[Angola]]<br /> * [[Benin]]<br /> * [[Botswana]]<br /> * [[Burkina Faso]]<br /> * [[Cameroon]]<br /> * [[Central African Republic]]<br /> * [[Chad]]<br /> * [[Comoros]]<br /> * [[Congo]]<br /> * [[Cote d'Ivoire]]<br /> * [[Djibouti]]<br /> * [[Egypt]]<br /> * [[Equatorial Guinea]]<br /> * [[Eritrea]]<br /> * [[Ethiopia]]<br /> * [[Gabon]]<br /> * [[Gambia]]<br /> * [[Ghana]]<br /> * [[Ginea]]<br /> * [[Guinea]]<br /> * [[Kenya]]<br /> * [[Lesotho]]<br /> * [[Liberia]]<br /> * [[Libya]]<br /> * [[Madagascar]]<br /> * [[Malawi]]<br /> * [[Mali]]<br /> * [[Mauritania]]<br /> * [[Mauritius]]<br /> * [[Mayotte]]<br /> * [[Morocco]]<br /> * [[Mozambique]]<br /> * [[Namibia]]<br /> * [[Niger]]<br /> * [[Nigeria]]<br /> * [[Republic Of The Congo]]<br /> * [[Sao Tome and Principe]]<br /> * [[Senegal]]<br /> * [[Sierra Leone]]<br /> * [[Somalia]]<br /> * [[South Africa]]<br /> * [[South Sudan]]<br /> * [[Sudan]]<br /> * [[Swaziland]]<br /> * [[Tanzania]]<br /> * [[Togo]]<br /> * [[Tunisia]]<br /> * [[Uganda]]<br /> * [[Zambia]]<br /> * [[Zimbabwe]]<br /> <br /> == External Links ==<br /> * [http://worldcubeassociation.org/results/misc/export.html WCA results export]<br /> <br /> [[Category:Continents]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=History_of_World_Records/Master_Magic&diff=23823 History of World Records/Master Magic 2014-04-20T11:02:39Z <p>ThomasJE: </p> <hr /> <div>This is a list of all [[WCA]] World Records for the [[Master Magic]] event, with links to videos and discussion threads when possible. You can see other info at the WCA's [http://www.worldcubeassociation.org/results/regions.php?regionId=&amp;eventId=mmagic&amp;years=&amp;history=History historical world record list].<br /> <br /> [[Magic]] and [[Master Magic]] are no longer official sanctioned WCA events.<br /> <br /> == Single ==<br /> {{Template:TableStart}}<br /> {{Template:TableHeadingRecord}}<br /> {{Template:TableRowRecord<br /> | result=1.68<br /> | name=[[Ernie Pulchny]]<br /> | country=USA<br /> | competition=Park Ridge Open 2011<br /> | details=<br /> | videos=[http://www.youtube.com/watch?v=M2Eq7bFwoJM]<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?29397-Master-Magic-1.68-WR-single]<br /> | brand=Rubik's<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.71<br /> | name=[[Ernie Pulchny]]<br /> | country=USA<br /> | competition=Newark Head to Head 2011<br /> | details=<br /> | videos=<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?26862-Newark-Head-to-Head&amp;p=548194&amp;viewfull=1#post548194]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.71<br /> | name=[[Yuxuan Wang]]<br /> | country=China<br /> | competition=Inner Mongolia 2010 <br /> | details=<br /> | videos=<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?22763-New-Master-Magic-Single-WR-by-Yuxuan-Wang]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.72<br /> | name=[[Mátyás Kuti]]<br /> | country=Hungary<br /> | competition=Belgian Open 2008 <br /> | details=<br /> | videos=<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?2814-Belgian-Open-2008-Results]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.83<br /> | name=[[Máté Horváth]]<br /> | country=Hungary<br /> | competition=Swedish Open 2007 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.94<br /> | name=[[Máté Horváth]]<br /> | country=Hungary<br /> | competition=German Open 2007 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.02<br /> | name=[[Máté Horváth]]<br /> | country=Hungary<br /> | competition=Belgian Open 2007 <br /> | details=<br /> | videos=<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?649-Belgian-Open-2007-Results-(Many-new-WR's)!]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.48<br /> | name=[[Mátyás Kuti]]<br /> | country=Hungary<br /> | competition=Euro 2006 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.73<br /> | name=[[Craig Bouchard]]<br /> | country=Canada<br /> | competition=US Nationals 2006 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.79<br /> | name=[[Stefan Pochmann]]<br /> | country=Germany<br /> | competition=World Championship 2005 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=3.05<br /> | name=[[Bob Burton]]<br /> | country=USA<br /> | competition=Caltech Dallas 2005 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=Rubik's<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=5.16<br /> | name=[[Sunil Pedapudi]]<br /> | country=USA<br /> | competition=Caltech Fall 2004 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=8.22<br /> | name=[[Jaap Scherphuis]]<br /> | country=Netherlands<br /> | competition=World Championship 2003 <br /> | details=<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableEnd}}<br /> <br /> == Average ==<br /> {{Template:TableStart}}<br /> {{Template:TableHeadingRecord}}<br /> {{Template:TableRowRecord<br /> | result=1.75<br /> | name=[[Ernie Pulchny]]<br /> | country=USA<br /> | competition=US Nationals 2011<br /> | details=1.78 1.71 1.77 1.71 3.08<br /> | videos=[http://www.youtube.com/watch?v=_XRNYROJCmU]<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?31582-Master-Magic-1.75-WR-average-(US-Nationals-2011)]<br /> | brand=LingAo<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.95<br /> | name=[[Máté Horváth]]<br /> | country=Hungary<br /> | competition=Euro 2008<br /> | details=1.97 1.90 1.98 1.88 DNF<br /> | videos=[http://www.youtube.com/watch?v=DkSNoH_yX54&amp;feature=player_embedded]<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?8116-Mate-Horvath-Master-Magic-WR-1.95]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=1.96<br /> | name=[[Mátyás Kuti]]<br /> | country=Hungary<br /> | competition=Polish Open 2007<br /> | details=2.02 1.95 DNF 1.90 1.90<br /> | videos=<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?1495-Polish-Open-2007&amp;p=15080&amp;viewfull=1#post15080]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.09<br /> | name=[[Milán Baticz]]<br /> | country=Hungary<br /> | competition=Swedish Open 2007<br /> | details=1.96 1.96 2.34 1.97 2.44<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.15<br /> | name=[[Máté Horváth]]<br /> | country=Hungary<br /> | competition=German Open 2007<br /> | details=3.13 2.31 1.94 2.21 1.94<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=2.27<br /> | name=[[Milán Baticz]]<br /> | country=Hungary<br /> | competition=Belgian Open 2007<br /> | details=2.16 2.38 2.25 4.71 2.18<br /> | videos=<br /> | discussion=[http://www.speedsolving.com/forum/showthread.php?649-Belgian-Open-2007-Results-(Many-new-WR's)!]<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=3.15<br /> | name=[[Craig Bouchard]]<br /> | country=Canada<br /> | competition=Rutgers Fall 2006<br /> | details=2.94 2.68 2.90 DNF 3.62<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=3.21<br /> | name=[[Alexander Ooms]]<br /> | country=Netherlands<br /> | competition=Belgian Open 2006<br /> | details=3.00 2.96 2.97 3.66 4.51<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=3.36<br /> | name=[[Stefan Pochmann]]<br /> | country=Germany<br /> | competition=Dutch Open 2005<br /> | details=4.18 3.53 3.06 3.28 3.28<br /> | videos=<br /> | discussion=<br /> | brand=<br /> | reconstruction=<br /> }}<br /> {{Template:TableRowRecord<br /> | result=3.54<br /> | name=[[Bob Burton]]<br /> | country=USA<br /> | competition=Caltech Dallas 2005<br /> | details=3.46 3.05 3.05 4.11 4.16<br /> | videos=<br /> | discussion=<br /> | brand=Rubik's<br /> | reconstruction=<br /> }}<br /> {{Template:TableEnd}}<br /> <br /> [[Category:Lists|World Records/Master Magic]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_YouTube_cubers&diff=23822 List of YouTube cubers 2014-04-20T11:00:27Z <p>ThomasJE: </p> <hr /> <div>{|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot;<br /> |- valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> * [http://www.youtube.com/kalashagun KalaShagun] Shagun Kala<br /> * [http://www.youtube.com/user/tomshakil Tomshakil] Shakil Ahmad<br /> * [http://www.youtube.com/user/Bhargav7771 Bhargav7771] Bhargav Narasimhan<br /> * [http://www.youtube.com/user/mayurak47 mayurak47] Mayur Arvind<br /> * [http://www.youtube.com/user/monkeydude1313 monkeydude1313] Chris Bird - Tutorials for beginners to learn the Fridrich method as well as tutorials for other obscure puzzles.<br /> * [http://www.youtube.com/user/Sheldonspeedcuber Sheldonspeedcuber] Pierre Bouvier<br /> * [http://www.youtube.com/user/Nakaji1084 Nakaji1084] Yu Nakajima<br /> * [http://www.youtube.com/user/Frk17 Frk17] Erik Akkersdijk<br /> * [http://www.youtube.com/user/Einstakonan Einstakonan] Harris Chan and [http://www.youtube.com/CUBESnote CUBESnote]<br /> * [http://www.youtube.com/user/jammyman3014 jammyman3014] Brendan Vallance<br /> * [http://www.youtube.com/user/rowehess rowehess] Rowe Hessler<br /> * [http://www.youtube.com/user/badmephisto badmephisto] Tutorials covering many aspects of cubing including beginner, Fridrich, blindfolded, etc.<br /> <br /> * [http://www.youtube.com/user/MeMyselfAndPi MeMyselfAndPi] Billy Hansen. Tutorials on cubing hardware.<br /> * [http://www.youtube.com/user/ToxIkWaste ToxIkWaste] Tutorials covering cube hardware/lubrication.<br /> * [http://www.youtube.com/user/Masterofthebass Masterofthebass] Dan Cohen<br /> * [http://www.youtube.com/user/Sa967St Sa967St] Sarah Strong<br /> * [http://www.youtube.com/user/Speedcuber Speedcuber] Sinpei Araki, Suraimu<br /> * [http://www.youtube.com/user/momonga576r momonga576r] Ryosuke Mondo<br /> * [http://www.youtube.com/user/Thrawst Thrawst] Tristan Wright, first to post How to Solve a Rubik's Cube videos<br /> * [http://www.youtube.com/user/EricLimeback EricLimeback] Eric Limeback<br /> * [http://www.youtube.com/user/LanceTheBlueKnight LanceTheBlueKnight] Lance Taylor <br /> * [http://www.youtube.com/user/Desie37 Desie37] Deseree Aune<br /> * [http://www.youtube.com/user/137456 137456]Kris De Asis/Meep<br /> * [http://www.youtube.com/user/esquimalt1 esquimalt1]Ibrahim Vajgel-Shedid<br /> * [http://www.youtube.com/user/ssrc ssrc]<br /> * [http://www.youtube.com/user/theWestonian theWestonian] Weston Mizumoto<br /> * [http://www.youtube.com/user/BluePi1313 BluePi1313] Shuqing Ma<br /> * [http://www.youtube.com/user/tutorialswindowsxp TutorialsWindowsXp] Javier Gonzalez-Napoleoni<br /> * [http://www.youtube.com/user/Speedcuber023 Speedcuber023] Anthony Brooks (Anthony Searle)<br /> * [http://www.youtube.com/user/elimescube elimescube] Emile Compion<br /> * [http://www.youtube.com/user/fallofshadows fallofshadows] Zac Livesay<br /> * [http://www.youtube.com/user/ThomasJECubing ThomasJE]<br /> |<br /> * [http://www.youtube.com/user/Drewseph0011 Drewseph0011] Amdrew Cormier<br /> * [http://www.youtube.com/user/symplesyn symplesyn] Noah Hevey<br /> * [http://www.youtube.com/user/KaiXevandStanley KaiXevandStanley] Tony Fisher<br /> * [http://www.youtube.com/user/Luigistl Luigistl] Austin Moore, one of the fastest Roux users.<br /> * [http://www.youtube.com/user/aboz049 aboz049] Jorge Sanchez, Mexican Champion at 3x3<br /> * [http://www.youtube.com/user/fazrulz1 fazrulz] Feliks Zemdegs, WR average holder at 7.64, and WR single holder at 5.66.<br /> * [http://www.youtube.com/user/sajgoncube sajgoncube]<br /> * [http://www.youtube.com/user/kazuto0102 kazuto0102]<br /> * [http://www.youtube.com/user/sushibuffet sushibuffet] Rhodri Mativo<br /> * [http://www.youtube.com/user/jnoort jnoort] Joël van Noort<br /> * [http://www.youtube.com/user/CUTEXcuber CUTEXcuber]<br /> * [http://www.youtube.com/user/aznblur aznblur]<br /> * [http://www.youtube.com/user/jmnguyen95 jmnguyen95]<br /> * [http://www.youtube.com/user/Pestvic Pestvic]<br /> * [http://www.youtube.com/user/RobH0629 RobH0629] Rob Homayoon<br /> * [http://www.youtube.com/user/cubes4lyfe cubes4lyfe] Waffle's Channel, Roux Tutorials and Videos<br /> * [http://www.youtube.com/user/5bld 5BLD] Alex Lau, one of the fastest Roux users.<br /> * [http://www.youtube.com/user/Arnaudvg Arnaudvg] Arnaud van Galen<br /> * [http://www.youtube.com/user/jaysammey777 jaysammey777]<br /> * [http://www.youtube.com/user/lordskull14 Sagar Laud]<br /> * [http://www.youtube.com/user/tyjet66 tyjet66] David Phelps<br /> * [http://www.youtube.com/user/snkenjoi snkenjoi] Kirjava<br /> * [http://www.youtube.com/user/ErniePulchny ErniePulchny] Ernie Pulchny, Master Magic WR holder<br /> * [http://www.youtube.com/user/MrCube68 MrCube68] Miroslav Delinac<br /> * [http://www.youtube.com/user/izovire izovire] Izovire<br /> * [http://www.youtube.com/user/inuasha880 inuasha880] Kurt Price<br /> * [http://www.youtube.com/user/GeorgeAndErrE Georgeanderre] Georgeanderre<br /> * [http://www.youtube.com/user/SickXTB SickXTB] SickXTB, a collab channel started by Tall5001, Bobo11420, AvidCuber, and xxoxia.<br /> * [http://www.youtube.com/user/pentacubers pentacubers] Pentacubers, a collab channel started by cyoubx, collinbxyz, coolfrog23, theianography, and CubeDepot.<br /> * [http://www.youtube.com/user/TheTeenCuber TheTeenCuber] <br /> * [http://www.youtube.com/user/therubikscard101 INSANEcuber] - 2x2 Average World Record Holder<br /> |}<br /> <br /> There are more YouTube channels listed in [http://www.speedsolving.com/forum/showthread.php?t=12476 this thread].<br /> <br /> [[Category:Resources]]<br /> [[Category:Community]]<br /> [[Category:Lists|YouTube cubers]]<br /> [[Category:Lists of cubers]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_YouTube_cubers&diff=23821 List of YouTube cubers 2014-04-20T10:57:26Z <p>ThomasJE: </p> <hr /> <div>{|border=&quot;0&quot; width=&quot;100%&quot; valign=&quot;top&quot;<br /> |- valign=&quot;top&quot;<br /> | width=&quot;50%&quot; |<br /> * [http://www.youtube.com/kalashagun KalaShagun] Shagun Kala<br /> * [http://www.youtube.com/user/tomshakil Tomshakil] Shakil Ahmad<br /> * [http://www.youtube.com/user/Bhargav7771 Bhargav7771] Bhargav Narasimhan<br /> * [http://www.youtube.com/user/mayurak47 mayurak47] Mayur Arvind<br /> * [http://www.youtube.com/user/monkeydude1313 monkeydude1313] Chris Bird - Tutorials for beginners to learn the Fridrich method as well as tutorials for other obscure puzzles.<br /> * [http://www.youtube.com/user/Sheldonspeedcuber Sheldonspeedcuber] Pierre Bouvier<br /> * [http://www.youtube.com/user/Nakaji1084 Nakaji1084] Yu Nakajima<br /> * [http://www.youtube.com/user/Frk17 Frk17] Erik Akkersdijk<br /> * [http://www.youtube.com/user/Einstakonan Einstakonan] Harris Chan and [http://www.youtube.com/CUBESnote CUBESnote]<br /> * [http://www.youtube.com/user/jammyman3014 jammyman3014] Brendan Vallance<br /> * [http://www.youtube.com/user/rowehess rowehess] Rowe Hessler<br /> * [http://www.youtube.com/user/badmephisto badmephisto] Tutorials covering many aspects of cubing including beginner, Fridrich, blindfolded, etc.<br /> <br /> * [http://www.youtube.com/user/MeMyselfAndPi MeMyselfAndPi] Billy Hansen. Tutorials on cubing hardware.<br /> * [http://www.youtube.com/user/ToxIkWaste ToxIkWaste] Tutorials covering cube hardware/lubrication.<br /> * [http://www.youtube.com/user/Masterofthebass Masterofthebass] Dan Cohen<br /> * [http://www.youtube.com/user/Sa967St Sa967St] Sarah Strong<br /> * [http://www.youtube.com/user/Speedcuber Speedcuber] Sinpei Araki, Suraimu<br /> * [http://www.youtube.com/user/momonga576r momonga576r] Ryosuke Mondo<br /> * [http://www.youtube.com/user/Thrawst Thrawst] Tristan Wright, first to post How to Solve a Rubik's Cube videos<br /> * [http://www.youtube.com/user/EricLimeback EricLimeback] Eric Limeback<br /> * [http://www.youtube.com/user/LanceTheBlueKnight LanceTheBlueKnight] Lance Taylor <br /> * [http://www.youtube.com/user/Desie37 Desie37] Deseree Aune<br /> * [http://www.youtube.com/user/137456 137456]Kris De Asis/Meep<br /> * [http://www.youtube.com/user/esquimalt1 esquimalt1]Ibrahim Vajgel-Shedid<br /> * [http://www.youtube.com/user/ssrc ssrc]<br /> * [http://www.youtube.com/user/theWestonian theWestonian] Weston Mizumoto<br /> * [http://www.youtube.com/user/BluePi1313 BluePi1313] Shuqing Ma<br /> * [http://www.youtube.com/user/tutorialswindowsxp TutorialsWindowsXp] Javier Gonzalez-Napoleoni<br /> * [http://www.youtube.com/user/Speedcuber023 Speedcuber023] Anthony Brooks (Anthony Searle)<br /> * [http://www.youtube.com/user/elimescube elimescube] Emile Compion<br /> * [http://www.youtube.com/user/fallofshadows fallofshadows] Zac Livesay<br /> * [http://www.youtube.com/user/ThomasJECubing ThomasJE]<br /> |<br /> * [http://www.youtube.com/user/Drewseph0011 Drewseph0011] Amdrew Cormier<br /> * [http://www.youtube.com/user/symplesyn symplesyn] Noah Hevey<br /> * [http://www.youtube.com/user/KaiXevandStanley KaiXevandStanley] Tony Fisher<br /> * [http://www.youtube.com/user/Luigistl Luigistl] Austin Moore, one of the fastest Roux users.<br /> * [http://www.youtube.com/user/aboz049 aboz049] Jorge Sanchez, Mexican Champion at 3x3<br /> * [http://www.youtube.com/user/fazrulz1 fazrulz] Feliks Zemdegs, WR average holder at 7.64, and WR single holder at 5.66.<br /> * [http://www.youtube.com/user/sajgoncube sajgoncube]<br /> * [http://www.youtube.com/user/kazuto0102 kazuto0102]<br /> * [http://www.youtube.com/user/sushibuffet sushibuffet] Rhodri Mativo<br /> * [http://www.youtube.com/user/jnoort jnoort] Joël van Noort<br /> * [http://www.youtube.com/user/CUTEXcuber CUTEXcuber]<br /> * [http://www.youtube.com/user/aznblur aznblur]<br /> * [http://www.youtube.com/user/jmnguyen95 jmnguyen95]<br /> * [http://www.youtube.com/user/Pestvic Pestvic]<br /> * [http://www.youtube.com/user/RobH0629 RobH0629] Rob Homayoon<br /> * [http://www.youtube.com/user/cubes4lyfe cubes4lyfe] Waffle's Channel, Roux Tutorials and Videos<br /> * [http://www.youtube.com/user/5bld 5BLD] Alex Lau, one of the fastest Roux users.<br /> * [http://www.youtube.com/user/Arnaudvg Arnaudvg] Arnaud van Galen<br /> * [http://www.youtube.com/user/jaysammey777 jaysammey777]<br /> * [http://www.youtube.com/user/lordskull14 Sagar Laud]<br /> * [http://www.youtube.com/user/tyjet66 tyjet66] David Phelps<br /> * [http://www.youtube.com/user/snkenjoi snkenjoi] Kirjava<br /> * [http://www.youtube.com/user/ErniePulchny ErniePulchny] Ernie Pulchny, Master Magic WR holder<br /> * [http://www.youtube.com/user/MrCube68 MrCube68] Miroslav Delinac<br /> * [http://www.youtube.com/user/izovire izovire] Izovire<br /> * [http://www.youtube.com/user/inuasha880 inuasha880] Kurt Price<br /> * [http://www.youtube.com/user/GeorgeAndErrE Georgeanderre] Georgeanderre<br /> * [http://www.youtube.com/user/SickXTB SickXTB] SickXTB, a collab channel started by Tall5001, Bobo11420, AvidCuber, and xxoxia.<br /> * [http://www.youtube.com/user/pentacubers pentacubers] Pentacubers, a collab channel started by cyoubx, collinbxyz, coolfrog23, theianography, and CubeDepot.<br /> * [http://www.youtube.com/user/TheTeenCuber TheTeenCuber] <br /> * [http://www.youtube.com/user/therubikscard101 INSANEcuber] - 2x2 Average World Record Holder<br /> |}<br /> <br /> @more info @ [http://www.speedsolving.com/forum/showthread.php?t=12476 speedsolving.com]<br /> <br /> [[Category:Resources]]<br /> [[Category:Community]]<br /> [[Category:Lists|YouTube cubers]]<br /> [[Category:Lists of cubers]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_twisty_puzzles&diff=23820 List of twisty puzzles 2014-04-20T10:51:49Z <p>ThomasJE: </p> <hr /> <div>The following is a list of [[twisty puzzle]]s by shape.<br /> <br /> == Cube ==<br /> * [[2x2x2]]<br /> * [[3x3x3]]<br /> * [[4x4x4]]<br /> * [[5x5x5]]<br /> * [[6x6x6]]<br /> * [[7x7x7]]<br /> * [[8x8x8]]<br /> * [[9x9x9]]<br /> * [[10x10x10]]<br /> * [[11x11x11]]<br /> <br /> == Cuboid ==<br /> * [[3x3x2]] ([[Rubik's Domino]])<br /> * [[2x2x3]]<br /> * [[1x1x3]]<br /> * [[4x3x3]]<br /> * [[5x3x3]]<br /> * [[7x3x3]]<br /> <br /> == 4-sided ==<br /> * [[Pyraminx]] (Tetrahedral)<br /> <br /> == 12-sided ==<br /> * [[Megaminx]]<br /> * [[Gigaminx]]<br /> * [[Teraminx]]<br /> * [[Petaminx]]<br /> * [[Dogic]]<br /> <br /> == Flip ==<br /> * [[Rubik's Magic]]<br /> * [[Master Magic]]<br /> <br /> == Other ==<br /> * [[Rubik's Clock]]<br /> * [[Skewb]]<br /> <br /> [[Category:Lists|twisty puzzles]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=V-Cube&diff=23818 V-Cube 2014-04-19T12:50:47Z <p>ThomasJE: </p> <hr /> <div>{{Manufacturer<br /> |NAME=Verdes Innovations S.A.<br /> |LOGO=Vcube_logo.jpg<br /> |YEARFOUNDED=2000<br /> |LOCATION=Greece<br /> |YEARSACTIVE=2008-present<br /> |AREASSERVED=Worldwide<br /> |WEBSITE=http://www.v-cubes.com<br /> |PRODUCTS=V-Cube 2, V-Cube 3, V-Cube 4, V-Cube 5, V-Cube 6, V-Cube 7, V-Cube 8<br /> }}<br /> <br /> '''V-cube''' is a brand of [[cube]] [[puzzles]] which started selling cubes in June 2008. They mass produce and sell [[2x2x2]], [[3x3x3]], [[4x4x4]], [[5x5x5]], [[6x6x6]], [[7x7x7]] and [[8x8x8]] puzzles, but they have designs and patents that go all the way to 11x11x11.<br /> <br /> V-cubes were invented by [[Panagiotis Verdes]] and are produced by Verdes Innovations S.A., Verdes's company located in Greece. The design of these cubes is completely new and different from all pre-existing designs, as it is based on the cone and as the pieces hook together instead of simply being held together by the centers. In addition, the plastic used for the V-cubes is a bit more elastic than the normal plastic for cubes. This leads to better durability, stability during speedsolving and pops and also a slightly smoother feel.<br /> <br /> V-cube were the first company to ever mass-produce the [[6x6]] and [[7x7]] puzzles, and were at one point the best cubes for big cube speedsolving. However, [[Shengshou]] and [[Moyu]] have cubes that are much more widely used because of their quality and low price compared to V-Cubes; and these have led to V-Cubes being rarely used.<br /> <br /> == Products ==<br /> === V-Cube 2===<br /> The V-Cube 2x2 is seen as a good 2x2, but is not the best for speedsolving. It has a core similar to a 3x3, with many inner edges. The black V-Cube 2a is generally regarded as the best of the V-Cubes, although most people prefer the WitTwo v1, Dayan Zhanchi 2x2 or the Moyu Lingpo. These are considered to be better cubes because of their speed, corner cutting and resistance to pops.<br /> <br /> === V-Cube 3===<br /> V-Cube released their first 3x3x3, the V-Cube 3 in January 2012. Like many V-Cubes, it is also available as a pillow-shaped version, called V-Cube 3b. The V-Cube 3 is available assembled and DIY, which comes with 3 sets of springs with different tensions.<br /> <br /> The mechanism resembles a lot of the new [[DaYan]] cubes, including use of &quot;torpedoes&quot; to prevent popping. This caused a lot of controversy; especially as V-Cube previously filed a lawsuit for patent infringement against Dayan and because of questions regarding the matter being avoided on their Facebook page.<br /> <br /> Although V-Cube 3 has been rated as a decent cube, many reviewers and cubers still prefer Dayan and MoYu cubes because of smoothness and somewhat better corner cutting.<br /> <br /> === V-Cube 5 ===<br /> Upon its release, the V-Cube 5 was considered to be the best 5x5 on the market. However, newer releases are considered better cubes. The mechanism incorporated new principles which allows it to have low friction but also to remain intact even when several pieces are removed; meaning a particular algorithm or step can be completed, and them the pop repaired.<br /> <br /> V-cube 5x5 can cut corners without being broken in or lubed at all; however this puzzle needs to be broken in to make it easier to turn. Because of this, some people prefer the ShengShou 5x5 because of its lower price.<br /> [[Image:Vcube5.jpg|none|thumb|V-Cube 5]]<br /> <br /> === V-Cube 6 ===<br /> This cube has a clicking mechanism to keep a hidden inner layer it has from coming out of alignment; however it does pop quite frequently. This puzzle does require breaking in &amp; lubrication, but the outer layers are considerably faster when this is done, Out of the box, it has a tendency for minor lockups, and to improve the performance, it needs be modified. Also, with modification, the clicking in the middle layer can be removed. This puzzle is less popular now because of the rise of Shengshou cubes.<br /> [[Image:Vcube6.jpg|none|thumb|V-Cube 6]]<br /> <br /> === V-Cube 7 ===<br /> V-Cube 7 is much like the V-cube 5 in mechanism, but the outer layers are much smoother and the inner layers require more effort to turn. The V7 is also untensionable; meaning the cube cannot be tensioned. There is however a modification that can fix this.<br /> <br /> The pillowed shape is to hide the fact that the outer layers of the cube are a little larger than the inner layers; otherwise the outer layers could just fall out. Shengshou however, mass produce a cubic 7x7; and this is considered by many to be the best 7x7 on the market.<br /> [[Image:Wiki 7x7x7 solved.jpg|none|thumb|V-Cube 7]]<br /> <br /> == Modifications ==<br /> The V-Cube 5, 6, and 7 all have several modifications; the most notable of these is Memyselfandpi's V-Cube 6 mod. It helps make the layers smoother and completely gets rid of the clickiness. It was also part of the mod to put dirt into the cube, although it is not recommended as it makes the cube harder to turn. The V-Cube 5 and 7 mods are mainly sanding down the bumps on the pieces. Memyselfandpi has videos of these mods on Youtube.<br /> <br /> == History ==<br /> V-Cubes were initially announced in 2003 as Olympic Cubes.[http://games.groups.yahoo.com/group/speedsolvingrubikscube/message/5194] It was initially believed to be spam on the Yahoo! speedsolvingrubikscube forum. Although patents were announced in 2004, there was little information about V-Cubes even in early 2007.[http://games.groups.yahoo.com/group/speedsolvingrubikscube/message/32502] Later in 2007, prototypes of V-Cube 5 through 7 were sent to [[Frank Morris]], the world record holder for 4x4 and 5x5 at the time.<br /> <br /> == Patents and controversy ==<br /> The V-Cube is protected by patent in many parts of the world, which has led to some controversy regarding knock-offs. Even puzzle types that are not available, such as the Maru 4x4x4, are considered in violation of patent, as the mechanism is inspired by V-Cubes. See for example [http://www.speedsolving.com/forum/showthread.php?26141-Dayan-Guhong-vs.-V-Cube-Patent-Infringement this Speedsolving.com thread].<br /> <br /> They have also criticized because of poor customer service on their Facebook page regarding questions about whether their V-3 DIY had torpedoes inspired by Dayan.<br /> <br /> The US patent can be found on Google Patents.[http://www.google.com/patents/about?id=SRDJAAAAEBAJ]<br /> <br /> == See also ==<br /> * [[Bigcubes]] (brands)<br /> * [[Puzzle Hardware]]<br /> <br /> == External links ==<br /> * http://www.v-cubes.com<br /> <br /> [[Category:Puzzle Manufacturers]]<br /> [[Category:Puzzle Shops]]<br /> {{Stub}}</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=World_Rubik%27s_Cube_Championship_2013&diff=23573 World Rubik's Cube Championship 2013 2013-12-29T15:48:18Z <p>ThomasJE: </p> <hr /> <div>'''World Rubik's Cube Championship 2013''' (usually called '''World Championship 2013''', abbreviated to '''WC2013''' or '''WC13''') was a [[speedcubing]] [[World Championship]] held at the Riviera Hotel and Casino in Las Vegas, Nevada, [[United States]] on July 26-28, 2013.<br /> == Winners ==<br /> * 3x3: [[Feliks Zemdegs]]<br /> * 2x2: [[Cameron Stollery]]<br /> * 4x4: [[Feliks Zemdegs]]<br /> * 5x5: [[Kevin Hays]]<br /> * 6x6: [[Kevin Hays]]<br /> * 7x7: [[Kevin Hays]]<br /> * Pyraminx: [[Drew Brads]]<br /> * Megaminx: [[Simon Westlund]]<br /> * Square-1: [[Ruzhen Ye]]<br /> * Clock: [[Deven Nadudvari]]<br /> * 3x3 One-Handed: [[Feliks Zemdegs]]<br /> * 3x3 Feet: [[Jakub Kipa]]<br /> * 3x3 Blindfolded [[Marcell Endrey]]<br /> * 4x4 Blindfolded: [[Marcell Endrey]]<br /> * 5x5 Blindfolded: [[Marcell Endrey]]<br /> * Multi-BLD: [[Marcell Endrey]]<br /> * 3x3 Fewest Moves: [[Steven Xu]]<br /> == World Records Set ==<br /> * Rubik's Clock average 6.79 by [[Evan Liu]] (First Round)<br /> * 7x7 mean 2:54.77 by [[Kevin Hays]] (Final)<br /> * 5x5 BLD single 6:06.41 by [[Marcell Endrey]] (Final)<br /> == Staff ==<br /> For now, see [http://www.speedsolving.com/forum/showthread.php?43263-Behind-Team-USA-(-FOB)-The-Team-that-Brought-You-Worlds-2013|this thread].<br /> == External Links ==<br /> * [http://www.worldcubeassociation.org/results/c.php?i=WC2013 WC2013 full results on WCA Database]<br /> * [http://cubecomps.com/live.php?cid=234 Live Results at Cubecomps]<br /> * Speedsolving.com: <br /> == Media ==<br /> === Photos ===<br /> === Videos ===<br /> * [http://www.speedsolving.com/forum/showthread.php?43274-Mats-Valk-and-Felix-Zemdegs-3x3-Finals-Worlds-2013&amp;p=882381| Mats Valk and Felix Zemdegs 3x3 Finals - Worlds 2013]<br /> * [http://www.speedsolving.com/forum/showthread.php?43227-Feliks-Zemdegs-Worlds-2013-Finals-Table-Cam| Feliks Zemdegs - Worlds 2013 Finals (Table Cam)]<br /> * [http://www.speedsolving.com/forum/showthread.php?43218-NAR-25-32-3BLD-Gabriel-Alejandro-Orozco-Casillas-Worlds-2013| NAR 25.32 3BLD Gabriel Alejandro Orozco Casillas, Worlds 2013]<br /> * [http://www.speedsolving.com/forum/showthread.php?43250-6x6-and-5x5-World-Championships-winning-averages| 6x6 and 5x5 World Championships winning averages]<br /> * [http://www.speedsolving.com/forum/showthread.php?43238-WC2013-3BLDs-R1-32-86-and-Finals-34-95-(Fourth-Place)| WC2013 3BLDs - R1 32.86 and Finals 34.95 (Fourth Place)]<br /> === Interviews ===<br /> * [http://www.youtube.com/watch?v=a--x3Rh1YgI|Interview by Noah Arthurs]<br /> <br /> [[Category:World championships]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=World_Rubik%27s_Cube_Championship_2013&diff=23572 World Rubik's Cube Championship 2013 2013-12-29T15:47:48Z <p>ThomasJE: </p> <hr /> <div>'''World Rubik's Cube Championship 2013''' (usually called '''World Championship 2013''', abbreviated to '''WC2013''' or '''WC13''') was a [[speedcubing]] [[World Championship]] held at the Riviera Hotel and Casino in Las Vegas, Nevada, [[United States]] on July 26-28, 2013.<br /> === 3x3 Speedsolve ===<br /> == Winners ==<br /> * 3x3: [[Feliks Zemdegs]]<br /> * 2x2: [[Cameron Stollery]]<br /> * 4x4: [[Feliks Zemdegs]]<br /> * 5x5: [[Kevin Hays]]<br /> * 6x6: [[Kevin Hays]]<br /> * 7x7: [[Kevin Hays]]<br /> * Pyraminx: [[Drew Brads]]<br /> * Megaminx: [[Simon Westlund]]<br /> * Square-1: [[Ruzhen Ye]]<br /> * Clock: [[Deven Nadudvari]]<br /> * 3x3 One-Handed: [[Feliks Zemdegs]]<br /> * 3x3 Feet: [[Jakub Kipa]]<br /> * 3x3 Blindfolded [[Marcell Endrey]]<br /> * 4x4 Blindfolded: [[Marcell Endrey]]<br /> * 5x5 Blindfolded: [[Marcell Endrey]]<br /> * Multi-BLD: [[Marcell Endrey]]<br /> * 3x3 Fewest Moves: [[Steven Xu]]<br /> == World Records Set ==<br /> * Rubik's Clock average 6.79 by [[Evan Liu]] (First Round)<br /> * 7x7 mean 2:54.77 by [[Kevin Hays]] (Final)<br /> * 5x5 BLD single 6:06.41 by [[Marcell Endrey]] (Final)<br /> == Staff ==<br /> For now, see [http://www.speedsolving.com/forum/showthread.php?43263-Behind-Team-USA-(-FOB)-The-Team-that-Brought-You-Worlds-2013|this thread].<br /> == External Links ==<br /> * [http://www.worldcubeassociation.org/results/c.php?i=WC2013 WC2013 full results on WCA Database]<br /> * [http://cubecomps.com/live.php?cid=234 Live Results at Cubecomps]<br /> * Speedsolving.com: <br /> == Media ==<br /> === Photos ===<br /> === Videos ===<br /> * [http://www.speedsolving.com/forum/showthread.php?43274-Mats-Valk-and-Felix-Zemdegs-3x3-Finals-Worlds-2013&amp;p=882381| Mats Valk and Felix Zemdegs 3x3 Finals - Worlds 2013]<br /> * [http://www.speedsolving.com/forum/showthread.php?43227-Feliks-Zemdegs-Worlds-2013-Finals-Table-Cam| Feliks Zemdegs - Worlds 2013 Finals (Table Cam)]<br /> * [http://www.speedsolving.com/forum/showthread.php?43218-NAR-25-32-3BLD-Gabriel-Alejandro-Orozco-Casillas-Worlds-2013| NAR 25.32 3BLD Gabriel Alejandro Orozco Casillas, Worlds 2013]<br /> * [http://www.speedsolving.com/forum/showthread.php?43250-6x6-and-5x5-World-Championships-winning-averages| 6x6 and 5x5 World Championships winning averages]<br /> * [http://www.speedsolving.com/forum/showthread.php?43238-WC2013-3BLDs-R1-32-86-and-Finals-34-95-(Fourth-Place)| WC2013 3BLDs - R1 32.86 and Finals 34.95 (Fourth Place)]<br /> === Interviews ===<br /> * [http://www.youtube.com/watch?v=a--x3Rh1YgI|Interview by Noah Arthurs]<br /> <br /> [[Category:World championships]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=World_Rubik%27s_Cube_Championship_2013&diff=23571 World Rubik's Cube Championship 2013 2013-12-29T15:47:11Z <p>ThomasJE: </p> <hr /> <div>'''World Rubik's Cube Championship 2013''' (usually called '''World Championship 2013''', abbreviated to '''WC2013''' or '''WC13''') was a [[speedcubing]] [[World Championship]] held at the Riviera Hotel and Casino in Las Vegas, Nevada, [[United States]] on July 26-28, 2013.<br /> <br /> == Events ==<br /> === 3x3 Speedsolve ===<br /> == Winners ==<br /> * 3x3: [[Feliks Zemdegs]]<br /> * 2x2: [[Cameron Stollery]]<br /> * 4x4: [[Feliks Zemdegs]]<br /> * 5x5: [[Kevin Hays]]<br /> * 6x6: [[Kevin Hays]]<br /> * 7x7: [[Kevin Hays]]<br /> * Pyraminx: [[Drew Brads]]<br /> * Megaminx: [[Simon Westlund]]<br /> * Square-1: [[Ruzhen Ye]]<br /> * Clock: [[Deven Nadudvari]]<br /> * 3x3 One-Handed: [[Feliks Zemdegs]]<br /> * 3x3 Feet: [[Jakub Kipa]]<br /> * 3x3 Blindfolded [[Marcell Endrey]]<br /> * 4x4 Blindfolded: [[Marcell Endrey]]<br /> * 5x5 Blindfolded: [[Marcell Endrey]]<br /> * Multi-BLD: [[Marcell Endrey]]<br /> * 3x3 Fewest Moves: [[Steven Xu]]<br /> == World Records Set ==<br /> * Rubik's Clock average 6.79 by [[Evan Liu]] (First Round)<br /> * 7x7 mean 2:54.77 by [[Kevin Hays]] (Final)<br /> * 5x5 BLD single 6:06.41 by [[Marcell Endrey]] (Final)<br /> == Staff ==<br /> For now, see [http://www.speedsolving.com/forum/showthread.php?43263-Behind-Team-USA-(-FOB)-The-Team-that-Brought-You-Worlds-2013|this thread].<br /> == External Links ==<br /> * [http://www.worldcubeassociation.org/results/c.php?i=WC2013 WC2013 full results on WCA Database]<br /> * [http://cubecomps.com/live.php?cid=234 Live Results at Cubecomps]<br /> * Speedsolving.com: <br /> == Media ==<br /> === Photos ===<br /> === Videos ===<br /> * [http://www.speedsolving.com/forum/showthread.php?43274-Mats-Valk-and-Felix-Zemdegs-3x3-Finals-Worlds-2013&amp;p=882381| Mats Valk and Felix Zemdegs 3x3 Finals - Worlds 2013]<br /> * [http://www.speedsolving.com/forum/showthread.php?43227-Feliks-Zemdegs-Worlds-2013-Finals-Table-Cam| Feliks Zemdegs - Worlds 2013 Finals (Table Cam)]<br /> * [http://www.speedsolving.com/forum/showthread.php?43218-NAR-25-32-3BLD-Gabriel-Alejandro-Orozco-Casillas-Worlds-2013| NAR 25.32 3BLD Gabriel Alejandro Orozco Casillas, Worlds 2013]<br /> * [http://www.speedsolving.com/forum/showthread.php?43250-6x6-and-5x5-World-Championships-winning-averages| 6x6 and 5x5 World Championships winning averages]<br /> * [http://www.speedsolving.com/forum/showthread.php?43238-WC2013-3BLDs-R1-32-86-and-Finals-34-95-(Fourth-Place)| WC2013 3BLDs - R1 32.86 and Finals 34.95 (Fourth Place)]<br /> === Interviews ===<br /> * [http://www.youtube.com/watch?v=a--x3Rh1YgI|Interview by Noah Arthurs]<br /> <br /> [[Category:World championships]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=Africa&diff=23570 Africa 2013-12-29T15:00:56Z <p>ThomasJE: </p> <hr /> <div>'''Africa''' is a continent. As of May 2012, no [[WCA]] competition has been held in Africa, making it the only remaining such continent; however, the South Africa Open will be hosted on the 11th January and will be the first African competition. All African continental and national records have been set by African nationals competing outside Africa.<br /> <br /> [[WCA]] recognizes the following countries in Africa.<br /> <br /> == Countries in Africa ==<br /> * [[Algeria]]<br /> * [[Angola]]<br /> * [[Benin]]<br /> * [[Botswana]]<br /> * [[Burkina Faso]]<br /> * [[Cameroon]]<br /> * [[Central African Republic]]<br /> * [[Chad]]<br /> * [[Comoros]]<br /> * [[Congo]]<br /> * [[Cote d'Ivoire]]<br /> * [[Djibouti]]<br /> * [[Egypt]]<br /> * [[Equatorial Guinea]]<br /> * [[Eritrea]]<br /> * [[Ethiopia]]<br /> * [[Gabon]]<br /> * [[Gambia]]<br /> * [[Ghana]]<br /> * [[Ginea]]<br /> * [[Guinea]]<br /> * [[Kenya]]<br /> * [[Lesotho]]<br /> * [[Liberia]]<br /> * [[Libya]]<br /> * [[Madagascar]]<br /> * [[Malawi]]<br /> * [[Mali]]<br /> * [[Mauritania]]<br /> * [[Mauritius]]<br /> * [[Mayotte]]<br /> * [[Morocco]]<br /> * [[Mozambique]]<br /> * [[Namibia]]<br /> * [[Niger]]<br /> * [[Nigeria]]<br /> * [[Republic Of The Congo]]<br /> * [[Sao Tome and Principe]]<br /> * [[Senegal]]<br /> * [[Sierra Leone]]<br /> * [[Somalia]]<br /> * [[South Africa]]<br /> * [[South Sudan]]<br /> * [[Sudan]]<br /> * [[Swaziland]]<br /> * [[Tanzania]]<br /> * [[Togo]]<br /> * [[Tunisia]]<br /> * [[Uganda]]<br /> * [[Zambia]]<br /> * [[Zimbabwe]]<br /> <br /> == External Links ==<br /> * [http://worldcubeassociation.org/results/misc/export.html WCA results export]<br /> <br /> [[Category:Continents]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=7x7x7_Cube&diff=23569 7x7x7 Cube 2013-12-29T14:33:25Z <p>ThomasJE: </p> <hr /> <div>[[Image:Wiki 7x7x7 solved.jpg|160px|thumb|A V-Cube 7 in its solved position.]]<br /> The '''7x7x7 cube''' (normally referred to as the '''7x7x7''' or '''7x7''') is a twistable [[puzzle]] in the shape of a cube that is cut six times along each of three axes. The main brand for this puzzle is the [[V-Cube]], which was patented by [[Panagiotis Verdes]]. Many other cube companies have produced puzzles very simular, but these are considered [[knock-offs]]. It is the smallest cube to be rounded (or 'pillowed') because it is mathematically impossible to make a perfectly cubical 7x7x7 cube without any kind of magnets or locking mechanism, as the corners would fall off.<br /> <br /> [[Shengshou]] have made a cubic 7x7, and it has become very popular; specifically the smaller version. If the Shengshou becomes the main 7x7 cube, then the pillowed V7 could potentially be outlawed by the [[WCA]].<br /> <br /> This puzzle has 6 fixed [[center]]s, a total of 144 other [[center]] pieces, a total of 60 [[edge]] pieces, and 8 [[corner]]s, and has 2.0 * 10^160 positions. It is probably thus the most complex twisty puzzle on the market today.<br /> <br /> === See also: ===<br /> * [[V-Cube 7]]<br /> * [[V-Cube]] (manufacturer)<br /> * [[7x7x7 Speedcubing Methods]]<br /> * [http://en.wikipedia.org/wiki/V-Cube_7 The Wikipedia article]<br /> <br /> {{Cubics}}<br /> <br /> [[Category:Twisty puzzles]]<br /> [[Category:Twisty puzzles used in WCA-official events]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=World_Championships&diff=23423 World Championships 2013-10-12T15:19:59Z <p>ThomasJE: Updated the list</p> <hr /> <div>'''World Championships''' are competitions that determine the World Champion in an event. World Championships are widely regarded as the most prestigious competitions and are typically hosted biennially. There have been seven World Championships to date:<br /> <br /> # [[World Championship 1982]] in Budapest, Hungary<br /> # [[World Championship 2003]] in Toronto, Canada<br /> # [[World Championship 2005]] in Lake Buena Vista, Florida, USA<br /> # [[World Championship 2007]] in Budapest, Hungary<br /> # [[World Championship 2009]] in Düsseldorf, Germany<br /> # [[World Championship 2011]] in Bangkok, Thailand<br /> # [[World Championship 2013]] in Las Vegas, USA<br /> <br /> The venue for the 2015 World Championships has not been announced yet.<br /> <br /> [[Category:Competitions]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=23252 List of cubing websites 2013-08-04T13:56:38Z <p>ThomasJE: Added more detail to my website.</p> <hr /> <div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br /> * [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br /> * [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br /> * [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br /> * [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br /> * [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich's] cubing site. One of the original homes of the Fridrich/CFOP method.<br /> * [http://lar5.com/cube/ Lars Petrus's] cubing site. Home of the Petrus method.<br /> * [http://grrroux.free.fr/ grrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br /> * [http://www.typhoon.fr/ Typhoon.fr] Pierre Bouvier's Cube zone. Host cubing videos and tutorials in french.<br /> * [http://www.francocube.com/ Francocube] French speaking website including a forum.<br /> * [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br /> * [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br /> * [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br /> * [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br /> * [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br /> * [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br /> * [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br /> * [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br /> * [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br /> * [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br /> * [http://cube.garron.us/ Lucas Garron]<br /> * [http://jmbaum.110mb.com/ Jason Baum]<br /> * [http://mzrg.com Michael Gottlieb]<br /> * [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix's] site, has some nice OH algorithms<br /> * [http://solvethecube.110mb.com/ Joël van Noort]<br /> * [http://www.zborowski.republika.pl/ Zbigniew Zborowski's] site. Home of the ZB method.<br /> * [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br /> * [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&amp;sl=ja&amp;tl=en&amp;u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br /> * [http://thomasje.webs.com/ ThomasJE's Cubing Site] Has [[4LLL]] and [[3x3x5]] tutorials; as well as a World Record's quiz to test your knowledge.<br /> * [http://www.hlavolam.maweb.eu/ hlavolam má web] Intuitive solutions for combinatorial puzzles as well as puzzle related articles (in Czech). <br /> <br /> == See also ==<br /> * [[List of YouTube cubers]]<br /> <br /> [[Category:Resources]]<br /> [[Category:Community]]<br /> [[Category:Lists|cubing websites]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4LLL&diff=22429 4LLL 2013-01-11T17:21:30Z <p>ThomasJE: </p> <hr /> <div>The '''4-Look Last Layer''' involves completing the last layer in four steps or ''looks''. It is an intermediate step between the [[beginner LBL]] method and learning [[Fridrich|full Fridrich]]. It is generally broken down into [[2-look OLL]] (orientation of edges, followed by orientation of corners) and [[2-look PLL]] (permutation of corners, followed by permutation of edges). Achieving 4LLL requires knowledge of 16 algorithms or 14 excluding mirrors. While progressing from '''4LLL''' to [[2LLL]] a speedcuber will typically learn all 21 [[PLL]]s first, to achieve a [[3-look last layer]]. Eventually, learning the final 57 [[OLL]] cases will achieve the 2-look last layer used in full [[Fridrich]].<br /> <br /> Another possible breakdown is to use 2-look [[CLL]] ([[CO]]-[[CP]]) and 2-look [[ELL]] ([[EO]]-[[EP]]). This can later become three diffrent 3-looks, full CLL and 2-look ELL, 2-look CLL and full ELL but also CO, [[CPEOLL]] and [[EPLL]]. This last suggestion is the easiest way to archive a 3-look LL, it only uses 26 algorithms in total, the drawback is that the mid step is not of much use when expanding to 2-look.<br /> <br /> == See also ==<br /> * [[2-Look OLL]]<br /> * [[2-Look PLL]]<br /> * [[Last Layer]]<br /> * [[Layer By Layer]]<br /> * [[Fridrich Method]]<br /> * [[1LLL]]<br /> * [[2LLL]]<br /> * [[3LLL]]<br /> <br /> == External links ==<br /> * [http://cubefreak.net/speed/fourlook.html cubefreak.net 4 Look Last Layer]<br /> * YouTube: [http://www.youtube.com/watch?v=DTYvklyOpVM Badmephisto's 2-Look OLL Guide]<br /> * [http://www.freewebs.com/kaixax555/4lll.htm Kaixax555's 4LLL Guide]<br /> * [http://thomasje.webs.com/4lll-tutorial-2 ThomasJE's 4LLL Guide]<br /> <br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:3x3x3 beginner methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=22428 List of cubing websites 2013-01-11T17:18:21Z <p>ThomasJE: </p> <hr /> <div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br /> * [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br /> * [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br /> * [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br /> * [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br /> * [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich's] cubing site. One of the original homes of the Fridrich/CFOP method.<br /> * [http://lar5.com/cube/ Lars Petrus's] cubing site. Home of the Petrus method.<br /> * [http://grrroux.free.fr/ grrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br /> * [http://www.typhoon.fr/ Typhoon.fr] Pierre Bouvier's Cube zone. Host cubing videos and tutorials in french.<br /> * [http://www.francocube.com/ Francocube] French speaking website including a forum.<br /> * [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br /> * [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br /> * [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br /> * [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br /> * [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br /> * [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br /> * [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br /> * [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br /> * [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br /> * [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br /> * [http://cube.garron.us/ Lucas Garron]<br /> * [http://jmbaum.110mb.com/ Jason Baum]<br /> * [http://mzrg.com Michael Gottlieb]<br /> * [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix's] site, has some nice OH algorithms<br /> * [http://solvethecube.110mb.com/ Joël van Noort]<br /> * [http://www.zborowski.republika.pl/ Zbigniew Zborowski's] site. Home of the ZB method.<br /> * [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br /> * [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&amp;sl=ja&amp;tl=en&amp;u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br /> * [http://thomasje.webs.com/ ThomasJE's Cubing Site] Has [[4LLL]] and [[3x3x5]] tutorials.<br /> <br /> == See also ==<br /> * [[List of YouTube cubers]]<br /> <br /> [[Category:Resources]]<br /> [[Category:Community]]<br /> [[Category:Lists|cubing websites]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=Petrus_Method&diff=22427 Petrus Method 2013-01-11T16:12:21Z <p>ThomasJE: </p> <hr /> <div>{{Method Infobox<br /> |name=Petrus<br /> |image=Petrus_method.gif<br /> |proposers=[[Lars Petrus]]<br /> |year=1981<br /> |anames<br /> |algs=2 to 493 (for the last layer)<br /> |variants<br /> |steps=7<br /> |moves=45 to 60<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Fewest Moves]]<br /> * [[Speedsolving]]<br /> }}<br /> The '''Petrus Method''', invented by [[Lars Petrus]], is a block-building [[method]] where the [[F2L]] is solved intuitively with no [[algorithm]]s. Petrus was the second most popular speedcubing method behind [[Fridrich]]/[[CFOP]]; however other methods like [[ZZ]] and [[Roux]] are currently more popular.<br /> <br /> == The Steps ==<br /> The following steps describe an approach suited for beginners, more advanced users might combine steps 1 and 2 and/or 5 and 6 ([[COLL]]) or use a [[Fridrich]] type last layer and do [[OLL]] and then [[PLL]]. If the fifth step is skipped the last layer can be solved with a [[2GLL]] algorithm.<br /> <br /> <br /> 1. Build a [[2x2x2 block]] anywhere on the cube.<br /> <br /> 2. Expand the [[2x2x2 block]] to a [[2x2x3 block]], three ways are possible.<br /> <br /> 3. Fix the &quot;bad edges&quot; or orient the remaining seven edges on the cube that have not been solved.<br /> <br /> 4. Finish the First Two Layers (F2L) by only turning 2 sides. The pure Petrus approach is to create a 1x2x2 block and expand it to a 1x2x3 block to finish off the F2L, not to solve the cross piece and two corner/edge pairs, two ways are possible.<br /> <br /> 5. Permute the last layer corners, or put them in their proper places (they do not have to be oriented.)<br /> <br /> 6. Orient the last layer corners, making the whole last layer a solid color.<br /> <br /> 7. Permute the last layer edges, without disturbing the other pieces, to solve the cube.<br /> <br /> == Pros ==<br /> <br /> The Petrus Method uses fewer moves than the [[Fridrich]] method and most other non-block-building methods. It is more intuitive than the Fridrich method, and it requires far less algorithms. If [[COLL]] is used as well, you can orient and permute the corners at the same time. The last layer can even be solved in one look with [[ZBLL]] or [[ZZLL]], however this drastically increases the number of algorithms one must learn.<br /> <br /> == Cons ==<br /> <br /> It can be sometimes hard (especially for a beginner) to optimize block building, and it's difficult to keep consistently turning throughout the solve.<br /> <br /> == Petrus variations ==<br /> <br /> There are several other [[substep]]s that can be used [[EJLS]], [[WV]], [[COLL]], and [[ZBLL]], which completes the entire last layer in a single algorithm.<br /> <br /> == Petrus as a Beginner Method ==<br /> Used as a beginner method, Petrus requires much more intuition, but also involves learning fewer algorithms. For a tutorial, see the external links below.<br /> <br /> == External links ==<br /> <br /> * [http://lar5.com/cube/ Lars Petrus's tutorial]<br /> * [http://petrus-speed.netne.net/ Petrus Speed Website]<br /> * Speedsolving.com [http://www.speedsolving.com/forum/showthread.php?t=14014 YouTube Beginner Petrus Tutorial]<br /> * YouTube: [http://www.youtube.com/watch?v=EQ9OrFVQw0o Petrus Tutorial] by fallofshadows<br /> * YouTube: [http://www.youtube.com/watch?v=WqXdO2H2FTs Petrus Tutorial] by CuberChris<br /> <br /> <br /> [[Category:3x3x3 methods]]<br /> [[Category:3x3x3 beginner methods]]<br /> [[Category:3x3x3 Speedsolving Methods]]<br /> [[Category:Fewest Moves Methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=Tile&diff=22403 Tile 2013-01-04T12:13:00Z <p>ThomasJE: Corrected spelling mistakes</p> <hr /> <div>A '''tile''' may be one of two things:<br /> <br /> * Tiles sitting on the faces of the [[piece]]s, basically the same as [[sticker]]s but thicker and much more durable.<br /> * Tiles are the smallest parts of [[Magic]] and similar [[puzzle]]s.<br /> <br /> <br /> [[Category:Puzzle Parts]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=22396 4x4x4 parity algorithms 2012-12-31T12:29:29Z <p>ThomasJE: /* Adjacent */ Added another alg</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms. Solutions listed which are not as efficient as others in their categories are at least relatively efficient for their specific effect on the cube or for the move set they are confined to.<br /> <br /> '''Introduction'''<br /> *The shortest odd parity fix (PLL Parity algorithms are even parity fixes for wing edges) algorithm which preserves the colors of the centers is simply:<br /> {{Alg|(r U2)4 r/(13,9)|cube=4x4x4&amp;notation=WCA&amp;animtype=Generator}}<br /> For those who are familiar with commutators and conjugates, this quick parity fix can be represented as<br /> [r: [U2, r] [r2 U2: r] ]. In fact, we can do the same 4-cycle of wing edges with just one conjugate [r2 d' r2 Uw2 S': r'].<br /> <br /> The phrase &quot;there is more than one way to solve any given problem&quot; holds true with tackling 4x4x4 parity situations. In fact, there are different categories of parity algorithms, and algorithms can consist of different move patterns (the move set of one algorithm might be entirely different than the algorithm above and/or below it).<br /> <br /> This page not only contains commonly practiced speedsolving algorithms, but it also contains algorithms which illustrate the veracity of the 4x4x4 cube parity algorithm domain.<br /> <br /> <br /> NOTES<br /> *All algorithms lengths are written next to them (slice quarter turn, slice half turn).<br /> *Algorithms with fewer slice half turns (STM) are listed first in each category, and those which have the same STM but have a fewer slice quarter turn moves (SQTM) are listed first.<br /> *Most of these algorithms affect centers on the 4x4x4 supercube: not all algorithms affect the supercube centers in the same manner.<br /> *Algorithms for all distinct cases involving 2 or 4 pieces have been rotated to affect the same 2 or 4 pieces. Corresponding case images for all cases have been made and will be added as soon as the image upload and display problem in the wiki is resolved.<br /> *All algorithms can be applied to the 6x6x6 if instead of turning the outer 2 layers, you turn the outer 3 layers. For slice moves, instead of turning 1 slice layer, you turn 2 slices.<br /> ----<br /> <br /> <br /> <br /> =PLL Parity (WCA Notation)=<br /> ==Dedges==<br /> *Algorithms marked as &quot;Safe&quot; are supercube safe.<br /> <br /> ===Two Dedges (Oriented)===<br /> ====Opposite====<br /> [[Image:Opppllparity.png|110px|]]<br /> {{Alg|r2 U2 r2 Uw2 r2 u2/(12,6)|Alg_1(v1)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r2 Uw2 r2 Uw2 U2/(12,6)|Alg_1(v2)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 U2/(12,6)|Alg_1(v3)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw2 Rw2 U2 r2 U2 Rw2 Uw2/(14,7)|Alg_2(v1)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2/(14,7)|Alg_2(v2)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 B2 U2 r2 U2 B2 Rw2/(14,7)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 B2 l r U2 M' U2 r2 B2 U2/Safe(19,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r U2 r2 U2 r2 U2 r U2 r2 U2/Safe(22,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' F U' R F' U l r U' F R' U F' l'/Safe(14,14)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ====Adjacent====<br /> [[Image:Oadjpllparity.png|110px|]]<br /> {{Alg|(R2 D' x) r2 U2 r2 Uw2 r2 u2 (x' D R2)/(18,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(R2 D' x) Rw2 F2 U2 r2 U2 F2 Rw2 (x' D R2)/(20,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(F2 U Rw2 U2 F2) r2 (F2 U2 Rw2 U' F2)/(20,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' R' F l E F2 E' l' r' E F2 E' r F' R y/Safe(16,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' R' F l E' F2 E l' r' E' F2 E r F' R y/Safe(16,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(R2 D' x) r2 U2 B2 l r U2 M' U2 r2 B2 U2 (x' D R2)/Safe(24,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Rw' U R U Lw' U2 Rw' U2) r2 (U2 Rw U2 Lw U' R' U' Rw)/(22,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(R U R' U') r2 U2 r2 Uw2 r2 u2 (U R U' R')|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Two Dedges (Unoriented)===<br /> ====Opposite====<br /> [[Image:Uopppllparity.png|110px|]]<br /> {{Alg|F2 l E F2 E' l' r' E F2 E' r F2/Safe(16,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|F2 l E' F2 E l' r' E' F2 E r F2/Safe(16,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y R' U F') r2 U2 r2 Uw2 r2 u2 (F U' R y')/(18,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 l D2 l' U2 M U2 r D2 r' U2 l'/Safe(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y' R' F U' Rw2 U2 F2) r2 (F2 U2 Rw2 U F' R y)/(20,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y R' U F' Rw2 F2 U2) r2 (U2 F2 Rw2 F U' R y')/(20,13)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ====Adjacent====<br /> [[Image:Uoadjpllparity.png|110px|]]<br /> {{Alg|(R B) r2 U2 r2 Uw2 r2 u2 (B' R')/(16,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(R B Rw2 F2 U2) r2 (U2 F2 Rw2 B' R')/(18,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|((Lw r') U Rw2 U2 F2) r2 (F2 U2 Rw2 U' (Lw' r))/(18,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|R B U2 r2 U2 B2 l r U2 M' U2 r2 B R'/Safe(21,14)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Four Dedges (Oriented)===<br /> ====Circular 4-cycle of Dedges====<br /> {{Alg|r2 Uw2 r2 b2 U' r2 b2 U b2 Uw2 r2/(20,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|M2 U' r2 U2 F2 r2 F2 U2 l r U2 M' U' M2/(23,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l r (U' y) L R u' L' R' (U y') M2 (U y') L' R' u' L R (U' y) l r/Safe(20,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' r' (U' y) L' R' u L R (U y') M2 (U y') L R u L' R' (U' y) l' r'/Safe(20,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l r (U y') L R u L' R' (U' y) M2 (U' y) L' R' u L R (U y') l r/Safe(20,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' r' U y L' R' u' L R (U' y) M2 (U' y) L R u' L' R' U y l' r'/Safe(20,19)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ====Zigzag 4-cycle of Dedges====<br /> [[Image:Zigzag4cycdedges.png|110px|]]<br /> {{Alg|(r2 U2 r2 Uw2 r2 u2) (F2 U M' U2 M U F2)/(22,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|R2 Uw2 B2 R2 Uw2 B2 R2 U R2 B2 R2 U B2 Uw2/(26,14)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Two Corner Swaps==<br /> ===Adjacent===<br /> {{Alg|R U' R B2 L' D L B2 R2 U r2 F2 r2 Fw2 r2 f2/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' B2 L U L' B2 R D' r2 F2 r2 Fw2 r2 f2 R D R2 y/(25,16)/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z r2 U2 R' U2 R' U2 R x U2 Rw2 U2 B2 L U2 L' U2 Rw2 U2 z' y'/(29,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Rw2 x U2 R' U2 x' U2 R' U2 R U2 L' x U2 Rw2 U2 Rw2 U2 Rw2 x' U2 Rw2 z U/(33,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r2 Uw2 r2 u2 y' R U R' U' R' F R2 U' R' U' R U R' F' y/(27,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' x Rw2 R' U2 Rw' U2 Rw2 U2 Rw2 U2 L Rw' U2 R' U2 R U2 L' R U2 R U2 Rw2 x' z/(35,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' x Rw2 R' U2 Rw U2 Rw2 U2 Rw2 U2 L Rw U2 R' U2 R U2 L' R U2 R U2 Rw2 x' z/(35,22)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Opposite/Diagonal===<br /> [[Image:Diag2cornerswap.png|110px|]]<br /> {{Alg|Rw2 f2 U2 Fw2 U' Rw2 U2 Fw2 U Fw2 R2 U2 F2 Rw2 U/(27,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 F2 U2 y Rw2 U' Rw2 U D Lw2' U' Lw2' y' r2 U2 F2 Rw2 U/(27,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' z (R2' Uw2' R2 U R2') y (R2 U2 R2' U' R2) y' (R2' Uw2' R2 (Dw' u) R2) Uw2 U2 x/(29,16)|reParity|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' r2 F2 R' F2 U2 R2 U2 R' F2 R2 U2 Rw' r' U2 F2 Rw2 U2 y/(30,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' r2 B2 R' U2 Rw2 U2 B2 R' B2 r2 U2 Rw2 B2 U2 R' U2 Rw2 y/(31,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' r2 U2 r2 Uw2 r2 Uw2 L' U R' U2 L U' L' R U R' U2 L U' R U y/(29,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 R U2 R U2 R' U2 Rw U2 Rw2 U2 Rw2 U2 L Rw U2 R' U2 R U2 L' Rw2/(35,22)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> ==Two Corner Swaps (Only 2 X-center Piece Exchange on the Supercube)==<br /> ===Adjacent===<br /> {{Alg|U Rw2 Bw2 Rw F Rw' Bw2 Rw F' L2 r U' b2 U L' F' L U' b2 U L' F M x/(29,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' L2 Uw F' U R U' F r2 F' U R' U' F r2 Fw Uw' L Uw Fw' Uw' L Fw L z/(27,24)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' L2 Uw r2 F' U R U' F r2 F' U R' U' F Fw Uw' L Uw Fw' Uw' L Fw L z/(27,24)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw' U' R U r U' R' U R2 U R' U' r U r' F' Rw U Rw' U' Rw' F Rw2 U' Rw' U' y/(28,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw' U' R U r U' R' U R2 U R' U' r U r' U' Rw' F Rw2 U' Rw' U' Rw U Rw' F' y/(28,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw' U' R U r U' R' U R2 U R' U' r U R U' Lw Uw2 Rw' U' Rw Dw2 Rw' U Rw' F' x y'/(29,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U Rw2 Bw2 Rw F Rw' Bw2 Rw F' D' f' D F2 D' f D F2 Rw L F' L' f' L F L' f/(31,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw U Rw' U' Rw' F Rw2 U' Rw' U' Rw U Rw' R' F' r' F R F' r2 B' R B r' B' R' B y/(29,27)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw U R' U' r' U R U' R2 U' R U r' U' R' Lw U Lw' U' Rw U Lw U' Lw' Rw' U Rw U y/(29,28)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Opposite/Diagonal===<br /> [[Image:Diag2cornerswap.png|110px|]]<br /> {{Alg|F r2 F' U R' U' F r2 Fw Uw' L Uw Fw' Uw' L Fw L Fw' L2 Uw F' U R U'/(27,24)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|F Rw' F Rw2 U' Rw' U' Rw' U' R U r U' R' U R2 U R' U' r U r' F' Rw U Rw' U' F'/(30,28)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Two X-Center Piece Swap Algorithms===<br /> *These algorithms, and other algorithms like them, are used to make two corner swap algorithms which only swap two X-center pieces on the 4x4x4 supercube.<br /> [[Image:2xcentpswp.png|110px|]]<br /> {{Alg|y Rw U' Lw Uw2 Rw' U Rw Uw2 x Rw2 U y'/(13,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Fw' U' Rw Fw Rw' U' Rw Fw' Rw' U2 Fw U'/(13,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U Rw' U' Rw' F Rw2 U' Rw' U' Rw U Rw' F'/(15,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' U' Lw U Lw' U' Rw U Lw U' Lw' Rw' U Rw U/(15,15)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> *Algorithms for almost all PLL Parity cases can be found here http://www.math.leidenuniv.nl/~mfung/speedcubing/algs/4x4x4/<br /> <br /> <br /> =Pure Flips (WCA Notation)=<br /> *OLL parity algorithms in this section preserve more than any other OLL parity algorithm form, escpecially algorithms marked as &quot;Safe&quot;, which are also supercube safe.<br /> *Algorithms in SiGN Notation are labeled.<br /> <br /> ==One Dedge Flip==<br /> [[Image:One_Dedge_Flip.png|110px|]]<br /> {{Alg|x' Rw2 U2 Lw' U2 r U2 Rw U2 x' U r U' F2 U r' U Rw2 x/(23,16)|cmowlaparity|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' Rw2 U2 Lw' U2 r U2 Rw U2 x' U' r U F2 U' r' U' Rw2 x/(23,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw Uw2 x' U D r y Uw2 Rw2 Uw r Uw' Rw2 Dw r' u D' x Uw2 Rw' y/(22,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 F2 D' r' D F2 D' r D Rw F2 r' F2 Rw' U2 Rw'/(23,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 F2 D r' D' F2 D r D' Rw F2 r' F2 Rw' U2 Rw'/(23,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw U2 r' U2 r U2 l' U2 l F2 r' F2 Rw' U2 Rw'/(25,17)|lucasparity|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z Dw' M D Lw' Uw' r' Uw Lw Uw' Lw2' Bw' r' Bw Rw' R' u y' M' Uw x2 z'/(19,18)|Holy_Grail|cube=4x4x4&amp;notation=WCA|vidurl=http://www.youtube.com/watch?v=JOiyd3PbXZg}}<br /> {{Alg|Rw' E Uw2 Fw Uw Rw' r' Fw' r Fw Rw Uw' Fw' Uw r Uw E' Rw/(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' S Bw2 Dw r Dw' Bw Dw r' Dw' r' Bw' r Bw r Bw S' Lw/(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' F' b' Rw' Bw' Rw u Rw' Bw Rw u2 Bw' u Bw u b F Lw/(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 B r' U R' U r U' R U' r B U2 r U2 r' B2 Rw2/(23,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z r f2 3u U y' 2R' u2 y' l2 u' 2R' u l2 u' 2R 3u' u' U' x' u2 r' z/(23,18)(SiGN)|cube=4x4x4}}<br /> {{Alg|Rw2 B2 U' b' U r U2 r' U' b U' Rw' U2 r' U2 Rw B2 Rw2/(25,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw2 U2 x' U r U' F2 U r' U' Lw' U2 r U2 Rw' U2 Rw'/(25,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw2 U2 x' U' r U F2 U' r' U Lw' U2 r U2 Rw' U2 Rw'/(25,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw U2 r' U2 Rw U2 l' U2 r U2 r' U2 (l Rw') Rw' U2 Rw'/(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r2 U2 r U2 r U2 r' U2 B2 U' r' U B2 U' r U'/(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r2 U2 r U2 r U2 r' U2 B2 U r' U' B2 U r U/(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' E Uw b' Uw r Uw r' Uw' b Uw r' Uw' r Uw r Uw E' Rw/(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' E Uw' r' Uw Lw' Uw' Fw Rw' Fw' r' Fw r Rw Fw' Uw Lw E' Rw/(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' D' u' Uw' Rw f Rw' Uw Rw f' Rw' f' Uw' f Uw f u D Rw/(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' E R Uw' Fw' u' Fw Uw2 Bw' Uw Fw' u' Fw U' Bw Uw' R' E' Rw/(20,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Dw' F' z Rw2 B2 x' l' Dw Uw Rw2 Dw' l' Dw Rw2 Dw' l u' U Rw2 D Rw z'/(24,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' E r' f' Dw' f' Dw Fw Lw' f Fw Dw' f' Dw Fw' Lw F' r E' Rw/(20,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Fw' D r' Dw b Dw b' Dw' r Dw b' Dw' b Dw b Dw2 D' Fw Uw'/(21,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Fw' U' l u2 Lw Bw' Lw' u Lw Uw Bw u' Bw' Uw' Bw Lw' u l' U Fw/(21,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U L F' U l' Dw Uw Rw2 Dw' l' Dw Rw2 Dw' l Uw' U' F L' U' Rw'/(23,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Bw' R' u Rw' r' Uw Bw' Uw' r Uw Rw Bw r' Bw' Rw' Bw Uw' Rw u' R Bw/(21,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Bw' R' u Rw' l' Dw Bw' Dw' l Dw Lw Bw l' Bw' Lw' Bw Dw' Rw u' R Bw/(21,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw' U L u l Uw' r' Uw l' u' L' U' Fw r2 Uw' z/(23,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw' f' U L U' f r' f' U L' U' f Fw r2 Uw' z/(23,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw' f' L Fw R' F' r' F R Fw' L' f Fw r2 Uw' z/(23,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 r' U2 r U2 r U r U r U2 r2 U2 r U2 r U r' U' r2 U2/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 r' U2 r U2 r U' r U' r U2 r2 U2 r U2 r U' r' U r2 U2/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U r' U' r U2 r U2 r2 U2 r U' r U' r U2 r U2 r' U2 r U2/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U' r' U r U2 r U2 r2 U2 r U r U r U2 r U2 r' U2 r U2/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U2 r' U' r U r U r' D' f2 r f2 r' D U2 r' U r U r U r/Safe(27,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U2 r' U2 r' U' l r u2 l' r' U l r u2 x U2 l' U2 r U2 r' U2 Rw2 x'/Safe(33,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' f' Uw Rw' Fw' r' Fw Rw Uw' f r' Uw Rw' Fw' U L U' r' U L' U' Fw Rw Uw' r2 z/(25,24)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw' U' Rw U' Rw U Rw2 U' Rw2 U2 Rw U2 Rw' U2 Rw U2 Rw U' Rw U Rw' U' Rw U2 Rw' U2 y/(34,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Rw' U' Rw U' Rw U' Rw2 U2 Rw2 U' Rw U2 Rw' U2 Rw U2 Rw U Rw U Rw' U' Rw U2 Rw' U2 y/(34,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw U Rw U2 Rw U2 Rw' U2 Rw' U r' U' Rw U2 Rw U2 Rw' U2 Rw' U r2 U2 Rw' U2 Rw'/(37,27)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==One Dedge Flip + PLL Parity (Double Parity)==<br /> {{Alg|r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l y2/(21,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2/(25,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 B2 l F2 r' F2 U2 r' U2 r U2 M' r U2 B2 Rw2/(26,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U2 r' U2 l U2 r' U2 r U2 M' U2 r2 U2 r' U2 r/(26,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 M U2 r' U2 r U2 l' U2 r U2 r U2 r' U2 r/(26,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(F d' S r F Rw2 f2 u' r2 Uw2 S') r (S Uw2 r2 u f2 Rw2 F' r' S' d F')/(31,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(B Lw2 U' L' U r u2 b' r2 Bw2 E) r' (E' Bw2 r2 b u2 r' U' L U Lw2 B')/(31,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U' R' U' r' U R U r U2 r' U' R' U' r2 U R U r U2 r U2 r' U2/(29,24)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==One Dedge Flip + Adjacent PLL Parity (Adjacent Double Parity)==<br /> [[Image:Adj.dblparity.png|110px|]]<br /> {{Alg|(y' r2 F Rw' F') r2 U2 r' U2 r' U2 r' U2 (F Rw F' r2 y)/(23,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y Rw' z' L' U r F) r2 U2 r' U2 r' U2 r' U2 (F' r' U' L z Rw y') /(23,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(x' r2 U' Rw U) M' U2 r' U2 r' U2 r' U2 l r (U' Rw' U r2 x)/(24,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|R B y2 r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l B' R'/(25,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(R B' r2 B2) r B2 r' B2 r B2 U2 r U2 r (B2 r2 B' R')/(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 x U' Rw R U r2 U2 r' U2 r' U2 r' U Rw' R' U x' U2 Rw'/(25,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y Rw2 U x' l U' L' U' l' U L U F2 l' F2 r U2 r' U2 x U' Rw2 y'/(25,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 F' Rw' F' U2 F r F l D2 r' D2 F2 l' U2 F R F r2/(26,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' B L' B l' B' L B' l U l B2 l' F2 l' F2 l B2 U' M'/(24,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y Rw2 U x') l U' L' U' l' U L U M' U2 l' U2 l U2 r' U2 (x U' Rw2 y')/(26,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y Rw2 F L) F U2 l F2 D2 r D2 l' F r' F U2 F' r (L' F' Rw2 y')/(27,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(z' Rw' U' Rw' l' U L') U' r2 U2 r' U2 r' U2 r' U' (L U' l Rw U Rw z)/(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Lw2 B' R B l b2 u' l2 Uw2 S) l' (S' Uw2 l2 u b2 l' B' R' B Lw2)/(29,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y x' Lw2 F' L2 F r f2 u' r2 Uw2 S') r' (S Uw2 r2 u f2 r' F' L2 F Lw2 x y')/(31,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x Uw F U r S' L2 S r S' L2 S r U R' U r U' R U' r U' F' Uw' x'/(25,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x2 r U2 l U2 r' F R F' U l' F2 l U B2 l B2 l' U' F2 U' F R' F' x2/(29,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(y Bw' R U b' R' Bw' Uw2 Rw' u2 l2 S') u (S l2 u2 Rw Uw2 Bw R b U' R' Bw y')/(29,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(r2 z B' Uw R Uw M' Uw2 l' u2 Rw2 S) u (S' Rw2 u2 l Uw2 M Uw' R' Uw' B z' r2)/(31,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Bw' l Bw Uw' Bw' l Uw2 R' Uw' L' B' L B U' L U l U' L' U B' L' B L Uw R Uw2 l2 Bw/(33,30)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Bw' l Bw Uw' Bw' l Uw2 R' Uw' L' U' B' L B L U l U' L' B' L' B U L Uw R Uw2 l2 Bw/(33,30)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> ==Three Flips==<br /> ===OLL Parity (Only)===<br /> {{Alg|l' B2 r D2 r B2 l2 B2 U2 r D2 r' U2 r2 B2/(25,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|M U l' B2 r D2 r B2 l2 B2 U2 r D2 r' U2 r2 B2 U' M'/(29,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U Rw U2 Rw U2 Rw U Rw' U2 r' U2 Rw' U Rw U2 Rw U2 Rw U Rw/(27,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw2 F2 Rw U R' U' Rw' U2 Rw U R U r U2 Rw F2 r' F2 Rw U2 Rw r F2 Uw2/(33,24)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw2 B2 Rw' U' R U Rw U2 Rw' U' R' U' r' U2 Rw' B2 r B2 Rw' U2 Rw' r' B2 Uw2/(33,24)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Rw' U' F' R' F R2 U') r (U R2 F' R F U Rw) (D' F2 D) (r' F2 r F2) (F2 r2 F2 r2 F2 r2 F2) (D' F2 D)/(39,29)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw U2 Rw U R U Rw U2 Rw' U' R' U' Rw' R' U R U Rw U2 Rw' U' R' U' Rw U2 Rw' U2 Rw'/(36,30)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Rw' U' F' R' F R2 U' Lw' E' R2 E) r' (E' R2 E Lw U R2 F' R F U Rw) (r U2 r' U2) (U2 r2 U2 r2 U2 r2 U2) /(41,31)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|(Rw' U' F' R' F R2 U') r (U R2 F' R F U Rw) (D' U' F2 U D) (r' F2 r F2) (F2 r2 F2 r2 F2 r2 F2) (D' U' F2 U D) /(43,33)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ===OLL Parity + PLL Parity (Double Parity)===<br /> {{Alg|Rw' U2 r U2 Rw' x' U2 r' U' R' U' Rw' U2 Rw U R U' Rw R U2 x/(24,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|M U r U2 r2 U2 r' U2 F2 r' F2 r2 U2 l F2 l' F2 r2 U' M'/(31,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(r' U' F' R' F R2 U' Lw2 E L2 E') r' (E L2 E' Lw2 U R2 F' R F U r) (r U2 r' U2)/(35,26)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|(r' U2 M l U) (r' U' F' R' F R2 U') r' (U R2 F' R F U r) r U2 r' U2 (U' M' l' U2 r)/(33,27)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> <br /> =Pure Flips/OLL Parity Algorithms which Don't Preserve the Last Layer=<br /> *The algorithms are linked with SiGN Notation (where lowercase = wide turn). However, if the following group of algorithms is executed using WCA notation (where lowercase = inner layer turns), pure one dedge flips will result.<br /> <br /> ===OLL Parity (Only)===<br /> *Note that all 26 possible (25,15) solutions (excluding mirrors and inverses) of this category are listed.<br /> <br /> {{Alg|r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2/(25,15)|Frédérick_Badie(v1)|cube=4x4x4}}<br /> {{Alg|r' U2 r U2 l' U2 l2 F2 r F2 l' U2 F2 r2 F2/(25,15)|Frédérick_Badie(v2)|cube=4x4x4}}<br /> {{Alg|r B2 r' U2 r U2 r2 F2 r' D2 l D2 B2 r2 F2/(25,15)|Frédérick_Badie(v3)|cube=4x4x4}}<br /> {{Alg|r B2 r' U2 r U2 l2 B2 r' U2 l U2 F2 l2 F2/(25,15)|Frédérick_Badie(v4)|cube=4x4x4}}<br /> {{Alg|r B2 l' B2 l U2 r2 F2 l' F2 r U2 F2 l2 F2/(25,15)|Frédérick_Badie(v5)|cube=4x4x4}}<br /> {{Alg|r B2 r' U2 l B2 l2 B2 U2 l U2 l' U2 l2 B2/(25,15)|Alg.2(v1)|cube=4x4x4}}<br /> {{Alg|r B2 r' U2 r D2 r2 U2 F2 l F2 r' D2 r2 B2/(25,15)|Alg.2(v2)|cube=4x4x4}}<br /> {{Alg|r B2 r' U2 r D2 l2 D2 B2 l B2 r' U2 l2 B2/(25,15)|Alg.2(v3)|cube=4x4x4}}<br /> {{Alg|r B2 l' B2 l D2 l2 D2 B2 r D2 l' D2 r2 B2/(25,15)|Alg.2(v4)|cube=4x4x4}}<br /> {{Alg|r' U2 r U2 l' D2 r2 D2 B2 l' D2 r D2 l2 B2/(25,15)|Alg.2(v5)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2/(25,15)|Alg.3(v1)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 l U2 l' B2 r B2 U2 r U2 r' B2 r2/(25,15)|Alg.3(v2)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 r' D2 r F2 l' F2 D2 l' D2 l F2 r2/(25,15)|Alg.3(v3)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 r' D2 l D2 l' D2 B2 l' B2 r F2 r2/(25,15)|Alg.3(v4)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 r B2 r' B2 l U2 F2 r F2 l' B2 r2/(25,15)|Alg.3(v5)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 l' F2 l F2 r' D2 B2 l' B2 r F2 r2/(25,15)|Alg.3(v6)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 r B2 l' D2 r D2 B2 l U2 r' B2 r2/(25,15)|Alg.3(v7)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 l' F2 r U2 l' U2 F2 r' D2 l F2 r2/(25,15)|Alg.3(v8)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 l' U2 r U2 r' U2 B2 r' B2 l B2 r2/(25,15)|Alg.4(v1)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 l' U2 l F2 r' F2 U2 r' U2 r B2 r2/(25,15)|Alg.4(v2)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 r D2 r' B2 l B2 D2 l D2 l' F2 r2/(25,15)|Alg.4(v3)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 r D2 l' D2 l D2 F2 l F2 r' F2 r2/(25,15)|Alg.4(v4)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 r' F2 r F2 l' U2 B2 r' B2 l B2 r2/(25,15)|Alg.4(v5)|cube=4x4x4}}<br /> {{Alg|r2 B2 U2 r' F2 l D2 r' D2 F2 l' U2 r B2 r2/(25,15)|Alg.4(v6)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 l B2 r' U2 l U2 B2 r D2 l' F2 r2/(25,15)|Alg.4(v7)|cube=4x4x4}}<br /> {{Alg|r2 F2 D2 l B2 l' B2 r D2 F2 l F2 r' F2 r2/(25,15)|Alg.4(v8)|cube=4x4x4}}<br /> {{Alg|x' r2 U2 l' U2 r U2 l F2 U r U' F2 U r' U r2 x/(23,16)|cmowlaparity|cube=4x4x4}}<br /> {{Alg|r U2 F2 D' r' D F2 D' r D r F2 r' F2 r' U2 r'/(23,17)|cube=4x4x4}}<br /> {{Alg|r U2 r U2 r' U2 r U2 l' U2 l F2 r' F2 r' U2 r'/(25,17)|lucasparity|cube=4x4x4}}<br /> {{Alg|r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 l x/(27,17)|cube=4x4x4}}<br /> {{Alg|r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'/(27,18)|cube=4x4x4}}<br /> {{Alg|r2 F2 r' U2 r U2 r' U2 r U2 r' F2 r' U2 l' r' U2 l/(27,18)|cube=4x4x4}}<br /> <br /> ===OLL Parity + PLL Parity (Double Parity)===<br /> {{Alg|r2 B2 r' U2 r' U2 x' U2 r' U2 r U2 r' U2 r2 U2 x/(25,15)|cube=4x4x4}}<br /> {{Alg|x' F2 U2 r2 U2 x U2 r U2 r' U2 x' r U2 r' U2 r' U2 r U2 r' x/(29,18)|cube=4x4x4}}<br /> <br /> <br /> =OLL Parity algorithms Which Don't Preserve the Last Layer (SiGN Notation)=<br /> *Algorithms in WCA notation are labeled.<br /> <br /> ==OLL Parity (Only)==<br /> {{Alg|x' r2 U2 l' U2 r U2 r U2 x' U r U' F2 U r' U r2 x/(23,16)|cmowlaparity|cube=4x4x4}}<br /> {{Alg|r U2 x U2 F' r' F U2 F' r F r U2 r' U2 x' r' U2 r'/(23,17)|cube=4x4x4}}<br /> {{Alg|r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r'/(25,17)|lucasparity||cube=4x4x4}}<br /> {{Alg|r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'/(25,17)|lucasparity||cube=4x4x4}}<br /> {{Alg|r U2 r2 U2 x' U r U' F2 U r' U' l' U2 r U2 r' U2 r'/(25,18)|cube=4x4x4}}<br /> {{Alg|r2 B2 3d' r' 3d r U2 r' 3d' r U' y' r' U2 r' U2 r B2 r2/(25,18)|cube=4x4x4}}<br /> <br /> ==OLL Parity + PLL Parity (Double Parity)==<br /> {{Alg|r' U2 r' U2 l U2 r' U2 r U2 x U2 r2 U2 r' U2 r/(25,16)|Alg_1(v1)|cube=4x4x4}}<br /> {{Alg|l U2 l U2 r' U2 l U2 l' U2 x U2 l2 U2 l U2 l'/(25,16)|Alg_1(v2)|cube=4x4x4}}<br /> {{Alg|r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2/(25,16)|Alg_2(v1)|cube=4x4x4}}<br /> {{Alg|l' U2 l U2 l' U2 l' U2 r U2 l' U2 l U2 x' U2 l2/(25,16)|Alg_2(v2)|cube=4x4x4}}<br /> {{Alg|r2 U2 x' U2 r' U2 r U2 l' U2 r U2 r U2 r' U2 r/(25,16)|Alg_3(v1)|cube=4x4x4}}<br /> {{Alg|l2 U2 x' U2 l U2 l' U2 r U2 l' U2 l' U2 l U2 l'/(25,16)|Alg_3(v2)|cube=4x4x4}}<br /> {{Alg|r U2 r' U2 r2 U2 x U2 r U2 r' U2 l U2 r' U2 r'/(25,16)|Alg_4(v1)|cube=4x4x4}}<br /> {{Alg|l' U2 l U2 l2 U2 x U2 l' U2 l U2 r' U2 l U2 l/(25,16)|Alg_4(v2)|cube=4x4x4}}<br /> {{Alg|Rw U2 Rw U2 Rw U R Rw U2 R2 U Rw U Rw2 R U Rw U' Rw/(23,19)(WCA)|Alg_5(v1)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' U2 Rw' U2 Rw' U' R' Rw' U2 R2 U' Rw' U' Rw2 R' U' Rw' U Rw'/(23,19)(WCA)|Alg_5(v2)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> *For algorithms for OLL + OLL Parity and OLL Parity + F3L, see http://www.math.leidenuniv.nl/~mfung/speedcubing/algs/4x4x4/<br /> <br /> <br /> =OLL Parity Algorithms Which Don't Preserve F3L (WCA Notation)=<br /> <br /> *One advantage to having access to algorithms which don't preserve the first three layers of the 4x4x4 is that the shortest algorithms that this category of algorithms has to offer have fewer moves than algorithms which preserve the first three layers, which might be of interest to certain cubers.<br /> *Unlike algorithms which preserve the first three layers, which are at minimum 14 block half turns (double parity) and 19 block quarter turns (one dedge flip), some algorithms in this section are just 13 block half turns and some are just 15 block quarter turns.<br /> *A few of the algorithms are in SiGN Notation: they are labeled.<br /> <br /> ==Just Corners are Permuted (Most are also Just FR F3L Slot Destroyers)==<br /> <br /> OLL Parity (Only)<br /> {{Alg|r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r'/(21,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|l U2 F' U2 F U2 l U2 l U2 l F' U2 F l/(21,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r' U R U2 R' U' r' U2 r' U2 r' U' R U2 R' U r'/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|l' U' R U2 R' U l' U2 l' U2 l' U R U2 R' U' l'/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r2 S' r U' R U' r U2 r U2 r U' R' U' r S r2/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r2 S r U' R U' r U2 r U2 r U' R' U' r S' r2/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U r U2 r U2 r U R' U2 R U' Rw R2/(22,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U r U2 Rw R U2 r U R U2 R' U' Rw/(22,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R U2 R' U r U2 Rw R U2 r U R' U2 R U' Rw/(22,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw R U' R2 U2 R2 U r U2 Rw U2 r U R U2 R' U' Rw/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U Rw R2 U2 r U2 Rw U R' U2 R U' Rw R2/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U Rw U2 r U2 Rw R2 U R' U2 R U' Rw R2/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U' R U2 r U2 Rw U2 r U R U2 R' U' Rw/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==FR F3L Slot Destroyers==<br /> <br /> OLL Parity (Only)<br /> {{Alg|l U2 l' F U R U' Lw' D2 r D2 r U2 Rw' U2 Lw F/(22,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Lw' U2 l D2 l D2 Rw' U' L U F r' U2 r F/(22,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R' U' Rw2 R U2 Rw2 U Rw U2 Rw' U2 Rw U' Rw2 U2 Rw'/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R' U' Rw2 U2 Rw2 R U Rw U2 Rw' U2 Rw U' Rw2 U2 r'/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 R U R' U2 R U r U2 Rw U2 Rw U R U2 R' U' Rw/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> OLL Parity + PLL Parity (Double Parity)<br /> {{Alg|Rw U2 Rw U2 Rw U Rw U2 R' U Rw U Rw2 R U Rw U' Rw/(21,18)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Petrus (They Destroy 2 Adjacent Faces)==<br /> <br /> OLL Parity (Only)<br /> {{Alg|r B' U2 B r B2 l B2 r B D2 B' r/(17,13)(SiGN)|Alg_1|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'/(17,13)(SiGN)|Alg_1(v2)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'/(17,13)(SiGN)|Alg_1(v3)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x/(17,13)(SiGN)|Alg_1(v4)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|Rw' S' L2 S Rw' U2 Rw' U2 Rw' F U2 F' U' L' U Rw'/(20,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' S R2 S' Rw' U2 Rw' U2 Rw' F' U2 F U R U' Rw'/(20,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw' U2 Rw D2 r D2 l' U L' U' B' l' U2 l x'/(21,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R' U2 R U' Rw' U2 Rw' U2 Rw' U' R U2 R' U Rw'/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U r U2 r U2 r U R' U2 R U' Rw/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U Rw U2 Rw U2 r U R U2 R' U' Rw/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U' L' U2 L U Rw' U2 Rw' U2 Rw' U L' U2 L U' Rw'/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Lw' U2 l D2 l D2 Rw' U' L U F Rw' U2 Rw F/(22,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R2 U2 R2 U r U2 Rw U2 r U R U2 R' U' Rw/(23,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'/(25,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw2 U Rw' U2 Rw U2 Rw' U' Rw2 U2 r2 U R2 U' Rw'/(25,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R2 U2 R2 U r U2 r U2 r U R2 U2 R2 U' Rw/(25,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R U2 R' U' r' U2 Rw' U2 Rw' F' U' R' U' R F Rw'/(21,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R U2 R' U' Rw' U2 Rw' U2 Rw' R' U' R U2 R' U Rw'/(22,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U Rw U2 r U2 Rw R2 U R' U2 R U' Rw/(23,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R U2 R' U Rw U2 r U2 Rw R2 U R U2 R' U' Rw/(23,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R U2 R' U Rw U2 Rw R2 U2 Rw U R' U2 R U' Rw/(23,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R U' Rw2 R U2 Rw2 U' Rw U2 Rw' U2 Rw U Rw2 U2 Rw'/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R U2 R' U' Rw' U2 Rw' U2 Rw' R2 U' R2 U2 R2 U Rw'/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R' U' Rw2 U2 Rw2 R U Rw U2 Rw' U2 Rw U' Rw2 U2 Rw'/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R' U Rw U2 r U2 r U' Rw' U R U R' U2 Rw U' Rw/(22,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R' U r U2 r U2 Rw U' Rw' U R U R' U2 Rw U' Rw/(22,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' Rw U2 R' U R U Rw' U' r U2 Rw U2 Rw U R' U Rw/(22,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U Rw R U2 r U2 Rw R U R' U2 R U' Rw/(23,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' Rw U2 R' U R U Rw' U' Rw U2 r U2 Rw U R2 U Rw/(23,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U' R' U2 r U2 Rw U2 r U R' U2 R U' Rw/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R U2 R' U' R' U2 r U2 Rw U2 r U R U2 R' U' Rw/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U2 R U r U2 Rw U2 Rw U R U2 R' U R' U2 Rw/(24,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}} <br /> {{Alg|Rw U R' U2 R' U2 R U Rw R U2 Rw U2 Rw U R U2 R' U' Rw/(25,20)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> OLL Parity + PLL Parity (Double Parity)<br /> {{Alg|l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'/(20,14)(SiGN)|Alg_1(v2)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'/(20,14)(SiGN)|Alg_1(v3)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'/(20,14)(SiGN)|Alg_2(v2)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'/(20,14)(SiGN)|Alg_2(v3)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r' U R U' r' U2 r U R' U r U2 r F2 Lw' U2 Lw/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U Rw' U' Rw2 R' U' Rw' U' R U2 Rw' U' Rw' U2 Rw' U2 Rw'/(21,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw U2 Rw' U' R' Rw2 U2 r U' R' U' Rw U2 r2 U Rw2/(24,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R U (Rw' U2)3 Rw2 U R' U' Rw2 U' R' U Rw'/(24,19)|Pochmann|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==More than 1 F3L Slot Destroyed (Not Petrus)==<br /> <br /> OLL Parity (Only)<br /> {{Alg|r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r'/(21,15)(SiGN)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|Rw U D' R2 U' R2 D x' U2 Lw U2 Lw U2 Lw F' U2 F Lw/(22,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw F U2 F' Rw U2 Rw U2 Rw R U2 F U2 F' U2 r/(22,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R U2 R' U' Rw' U2 Rw' U2 Rw' F U' B' U' S Dw' z'/(20,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Lw U' L' R U2 L U Lw U2 Lw U2 Lw U' R' U2 R U r x'/(22,18)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Lw U' L' R' U2 L U Lw U2 Lw U2 Lw U' R U2 R' U Lw R/(23,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==Affect M Layer Only==<br /> OLL Parity + PLL Parity (Double Parity)<br /> {{Alg|r U2 r' U2 r' D2 r D2 r' B2 r B2 r'/(19,13)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r U2 r' U2 M' l' U2 r U2 l' U2 r U2 l'/(20,14)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r U2 l' U2 l r2 U2 l U2 r' U2 l U2 l r2/(23,15)|reParity(v2)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==Complete 3x3x3 Scrambles==<br /> <br /> OLL Parity (Only)<br /> {{Alg|Rw B U2 B' r B2 l B2 r B' D2 B Rw/(17,13)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r U F2 U' l F2 2R U2 r U B2 U' r/(17,13)(SiGN)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r U' F2 U l F2 2R U2 r U' B2 U r/(17,13)(SiGN)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|Uw M R D R' Fw f E' l' E Fw b E F Lw/(15,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' S' L2 S Rw' U2 Rw' U2 Rw' F' U2 F U R U' Rw'/(20,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' S R2 S' Rw' U2 Rw' U2 Rw' F U2 F' U' L' U Rw'/(20,16)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r U2 r' U2 r D2 r D2 r' F L' F' U' r' D2 r/(21,16)(SiGN)|cube=4x4x4&amp;animtype=Generator}}<br /> <br /> OLL Parity + PLL Parity (Double Parity)<br /> {{Alg|r F2 U2 l F U' R U' r2 B2 r' B2 r2/(19,13)(SiGN)|Alg_1|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r F2 U2 l F' U L' U r2 B2 r' B2 r2/(19,13)(SiGN)|Alg_2|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r F2 U2 l F U' (L' R) U' r2 B2 r' B2 r2/(19,13)(SiGN)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r F2 U2 l F' U (L' R) U r2 B2 r' B2 r2/(19,13)(SiGN)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|r U2 l' U2 x' (r' U2 l U2)2 l'/(19,13)|reParity|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg|Uw R' b E' d' L' b L u' b2 Uw M' B' Uw/(15,14)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Uw S L B' R u d f' u d L B' R S Uw/(15,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Uw S L' F R' u d f' u d L' F R' S Uw/(15,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U2 r U2 Rw' x' U2 r' U' R' U' Rw' U2 Rw U R U' Rw x/(21,17)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> <br /> *To see more detailed information on how most of the optimal algorithms were found, see http://cubezzz.dyndns.org/drupal/?q=node/view/230<br /> <br /> *To see Stefan Pochmann's explanation of his Petrus Parity Algorithm, see http://games.groups.yahoo.com/group/speedsolvingrubikscube/message/13712<br /> <br /> *To see a large list of (U,Rw,R) solutions that have been found, see http://www.speedsolving.com/forum/showthread.php?30127-New-4x4-parity-algs-using-R-Rw-U&amp;p=806576&amp;viewfull=1#post806576<br /> <br /> <br /> =Non Dedge-Preserving Last Layer 2-Cycle Cases=<br /> *This section contains all of the 2-cycle cases that can occur in the last layer besides the one dedge flip.<br /> *Algorithms marked as &quot;Safe&quot; are supercube safe.<br /> <br /> ==In Opposite Dedges==<br /> ===Adjacent 2-Swap===<br /> {{Alg|r U2 r U2 x U2 r U2 l' x' U2 l U2 r2/(19,12)|Alg_1(v1)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' B2 r' B2 D2 r' D2 r D2 l' D2 l2/(19,12)|Alg_1(v2)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 r U2 M' U2 r U2 r' U2 l U2 r2/(20,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' U2 r' U2 (Rw' l) U2 r' U2 r U2 l' U2 Rw2/(20,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z Rw' U l' Uw' Rw Uw l' Fw' l' Fw l2 Uw' Rw' u Rw z'/(16,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l F2 r F2 l D f' D r D2 r' D' f D l2/(19,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|b u Bw' Rw' f' Rw Bw Rw' f2 Uw' f' Uw f' Rw u' b'/(17,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U2 r U2 Rw U2 Rw2 F r F' Rw2 U2 Rw2 F r' F'/(23,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' B2 l D2 r' D2 l' B2 l' D2 r' D2 l2 D2 r D2/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' B2 l D r' D' l' B2 l D l r F2 r' F2 l' D'/(21,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U2 r D r' D' r' U2 l' B2 r' B2 l r D r D'/(21,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U2 l D2 l' U2 l D2 l' U2 r' U2 r' U2 r' U2 r'/(25,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Dw' Fw l' Fw' Uw Fw l' Uw' u' R u l' u' R' Uw u l2 Fw' y'/(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw2 L f L F r' F' L' f' L' Fw2 r2 Uw' z/(23,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l U l U' l' U' l U l U l' D' b2 l b2 l' U2 D l' U/Safe(23,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U2 l' U2 r U2 r' U2 x' U2 r' U2 r' U' l r u2 l' r' U l r u2 x/Safe(29,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U' R U r' U R' U' r U R U2 R' U' r' U2 r' U2 r' U2 r'/(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' l Uw' Rw' Uw l2 Fw2 Rw Fw' U L' U' l U L U' Fw Rw' Fw2 l Uw' Rw Uw x/(25,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U' R U Rw U2 Rw' U' R' U' r U R U Rw U2 Rw' U' R' U' r2 U2 Rw'/(27,23)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Opposite/diagonal 2-Swap===<br /> [[Image:Diag.opp.png|110px|]]<br /> {{Alg|l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r z2/(21,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2/(25,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 B2 U2 r U2 r2 B2 r' U2 r2 U2 B2 r' B2/(25,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Lw' Uw' l' Uw Lw2 Dw' Lw Uw' l' Uw L' Dw Lw' Uw'/(16,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Lw' Uw' l' Uw Lw Fw' Lw2 Uw' l' Uw Lw' L' Fw Uw'/(16,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Lw' Bw' r' Bw Lw2 Bw' Rw Fw' r' Fw R' Bw Lw' Uw'/(16,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Fw' L2 Uw b' Uw' Lw2 Uw L' Uw b' Uw' Lw Uw' l2 Fw/(18,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Fw' Uw B2 Rw' u Rw Bw2 Lw2 d Lw d' Lw b2 Uw' Fw/(19,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Rw' F2 Rw' f Rw Bw2 Lw2 u Lw u' Rw u2 Rw Uw' y2/(19,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 F2 U2 r U2 x U2 Rw2 U2 r' U2 l r U2 l' U2 x'/(25,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Fw' L U' f Uw2 Lw2 Dw r Dw' Lw2 Uw f' Uw U L' Fw/(19,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' F2 D2 r' D2 F' l2 U2 l2 F' l F l2 U2 l2 F'/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' U2 l U2 l U2 r' U2 l U2 l' U2 M' U2 l2 U2 Lw/(26,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Rw Fw' L Fw d Fw' L' Fw Rw2 Fw2 Lw u Lw' Fw2 Rw b' Uw'/(21,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' l' Uw Rw' Uw' l Uw Fw Uw B' l2 B r' B' l2 B Uw' Fw' Rw Uw' x/(21,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' U2 r' U' r U r U r' D' f2 r f2 r' D U2 r' U r U r U x/Safe(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z Fw Uw' l Uw Fw' Uw' l Fw2 R' Fw' F' L2 F l F' L2 Fw F R Fw2 l2 Uw z'/(27,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x l U2 l' U2 l U2 l2 U' l' U l U2 l U2 l2 U2 l U l U l U2 x'/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x l U2 l' U2 l U2 l2 U l' U' l U2 l U2 l2 U2 l U' l U' l U2 x'/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U2 r' U R U r U2 r' U' R' U' r2 U R U r U2 r' U' R' U Rw2/(29,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' U2 l U2 l U l' r' u2 l r U' l' r' u2 x U2 r U2 l' U2 l U2 Lw x'/Safe(31,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' U' Rw U2 Rw U2 Rw' U2 Rw' U' r U Rw U2 Rw U2 Rw' U2 Rw' U' r2 U2 Rw/(31,23)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U Rw' U' Rw U2 Rw' U2 Rw' U' Rw U' Rw U Rw2 U' Rw2 U2 Rw U2 Rw' U2 Rw U2 Rw U'/(34,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw U Rw' U' Rw U2 Rw' U2 Rw' U' Rw U' Rw U' Rw2 U2 Rw2 U' Rw U2 Rw' U2 Rw U2 Rw U/(34,26)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==In Adjacent Dedges==<br /> ===Case 1 (Close Adjacent Unoriented)===<br /> [[Image:Adj.case1.png|110px|]]<br /> {{Alg|l2 U Lw U2 r' U2 Rw' U2 F' r' F U2 F' M' l' x/(20,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' l2 F U2 l U2 r' U2 r U2 F2 r F2 l' F' l2 x/(23,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 r U2 F' L F' r F L' F l' U2 l U2 r2/(21,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' l2 F U2 l U2 r' U2 r U2 (l' Rw) U2 r U2 Rw' F' l2 x/(24,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z F' Rw2 b' Uw Lw' Uw' b Uw b Lw b' Lw' b' Lw Uw' Rw2 F z'/(19,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z F' Lw2 Uw Bw' l Bw Uw' Bw' Lw Uw l Uw' Lw' l' Bw Lw2 F z'/(19,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z F' Rw2 z' Rw Bw' l Bw Rw' Bw' Lw Dw l Dw' Lw' l' Fw Rw2 F z'/(19,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' b Uw2 Lw Uw f' Uw' Lw' Uw f' Lw f' Lw' f2 Uw b' Lw/(19,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 l U2 r' U2 r U2 F' L F' r F L' F l' r2/(23,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l2 U M U2 l U2 r' U2 r U2 M' U2 r U2 l' U' l2/(25,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l U l U l' U' l' U' l D f2 l' f2 l U2 D' l U' l' U' l2/Safe(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' l' Rw' U2 Rw U' L' U' r' U L U Rw' U2 Rw U' L' U' r2 U L U l x/(25,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw2 L Fw U' R2 U r' U' R2 U Fw' L' Fw2 r2 Uw' z/(27,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' F2 l F2 U' Rw U2 l U2 Rw' B' M U' Lw2 F2 r2 F2 Lw2 U M' B U/(31,22)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Case 2 (Far Adjacent Unoriented)===<br /> {{Alg|l2 U' Lw U2 r' U2 Rw' U2 F r' F' U2 F M' l' x/(20,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x Rw2 F' U2 l U2 r' U2 r U2 F2 r F2 l' F Rw2 x'/(23,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 r U2 F R' F r F' R F' l' U2 l U2 r2/(21,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x Rw2 F' U2 l U2 r' U2 r U2 (l' Rw) U2 r U2 Rw' F Rw2 x'/(24,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw r z l Fw' Uw Fw l' Fw' l' Uw' l Uw l Uw' Fw z' Rw' r'/(17,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw r y Rw' Dw l' Dw' Rw Dw Lw' Bw' l' Bw Lw l Uw' Rw' r'/(17,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw r Uw' Fw l' Fw' Uw Fw Lw' Uw' l' Uw Lw l Fw' Lw' r'/(17,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' l' x' U2 l U2 r' U2 r U2 x U R U r U' R' U' Rw/(21,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 l U2 r' U2 r U2 F R' F r F' R F' l' r2/(23,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw2 U' M U2 l U2 r' U2 r U2 M' U2 r U2 l' U Lw2/(25,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y z Dw' (M R') D Lw' Uw' r' Uw Lw Uw' Lw2' Bw' r' Bw Rw' R' u y' (M' R) Uw y x/(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' U2 l' U2 l U2 r' U2 r B2 r' F D2 F' l' F D2 F' r B2 x/(27,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw2 U L U' Fw r' Fw' U L' U' Fw2 r2 Uw' z/(23,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw' U R U r2 U' R' U' Rw' U2 Rw U R U r U' R' U' Rw' U2 Rw2/(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l U' l U' l' U l' U l D' b2 l' b2 l U2 D l U l' U l2/Safe(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' Fw' Uw r' Uw' Fw Uw r' Fw2 L Fw U' R U r' U' R' U Fw' L' Fw2 r2 Uw' z/(25,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw r U' R' U r' U' R U2 R' U r U2 r U2 r U2 r2 U R U' Rw'/(27,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 R U2 Rw U r U' Rw' U2 Rw' U2 Rw U2 Rw U r2 U' Rw' U2 Rw' U2 Rw' R'/(30,23)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Case 3 (Oriented Case)===<br /> {{Alg|y' Fw2 l Uw' Bw Uw l' Uw' l' Bw' l Bw l Bw' Uw Fw2 y/(17,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 Uw' Bw r' Bw' Uw Bw Rw' Uw' r' Uw Rw r Bw' Rw2/(17,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' z' Fw2 Rw' Dw l' Dw' Rw Dw Lw' Bw' l' Bw Lw l Dw' Fw2 z y/(17,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 f Uw' Bw Dw r' Dw' r' Bw' r Bw r Bw' Uw Rw2/(17,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' z' Fw' l' Uw' Bw2 Uw' r Uw Bw2 Uw2 r Uw r' Uw2 l Fw z y/(19,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Uw Rw' Uw' r' Uw Rw Bw' Rw' r' Uw' r' Uw R r' Bw Uw'/(16,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Bw' R Dw r' Dw' Rw' Bw Rw' R' Dw r' Dw' Rw2 Fw' u Fw y/(17,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Uw' Fw l' Fw' Uw Fw l' Uw2 R Uw l' Uw' R' Uw2 l2 Fw' y/(19,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' Uw Lw Uw' r2 Fw2 Lw' Fw r' Fw' Lw Fw2 r' Uw Lw' Uw'/(19,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z x2 Rw' Uw l' Uw' Rw Uw l' Fw2 R Fw l' Fw' R' Fw2 l2 Uw' x2 z'/(19,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' Bw' Uw2 r' Dw l' Dw' r Uw' Lw2 Uw' r' Uw Lw2 Uw' r Bw y/(19,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' l' r' U Rw U2 l' U2 Lw' U2 x' U' l' U F2 U' M' l' y/(20,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z Uw' Rw Uw2 l' Uw r' Uw' l Uw2 R' Uw Bw2 Uw' r' Uw Bw2 z'/(20,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x l' U L U l' U' L' U' F2 l' F2 r U2 r' U2 l2 x'/(21,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|L' B' l' U2 l' U2 x U2 l' U2 x' r U2 r' U2 l2 B L/(23,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x l' U L U l' U' L' U' x U2 l' U2 l U2 r' U2 l r x2/(21,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x l' U L U l' U' L' U' M' U2 l' U2 l U2 r' U2 l2 x'/(22,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' f' Uw Rw' Fw' r' Fw Rw Uw' f r' Uw Rw' Fw' r' Fw Rw Uw' r2 x/(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' l U F2 U' l U F2 l F L F l F' L' F' l' U' l2 y/(21,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z' r' Uw Bw Uw' Bw L Bw r Bw' L' Bw' Uw Bw' Lw Uw' r Uw Lw' Uw' z/(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r Uw' Lw Uw r' Uw' Fw' Uw' B Rw2 B' l B Rw2 B' Uw Fw Lw' Uw/(21,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y' x Lw' U' R' U' l2 U R U Lw' U2 Lw U' R' U' l U R U Lw' U2 Lw2 x' y/(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U' r U' r' D b2 r b2 r' U2 D' r' U' r U' r U r' U r2/Safe(25,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x l2 U2 Lw U l U' Lw' U2 Lw' U2 Lw U2 Lw U l2 U' Lw' U2 Lw' U2 Lw' L2 x'/(30,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U Rw' U Rw' U Rw U2 Rw U2 Rw' U Rw U' Rw' U' Rw' U2 Rw' U2 Rw U2 Rw' U Rw2 U2/(34,26)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y Rw' U2 r' Rw2 U2 Rw U2 Rw U r U' Rw' U2 Rw' U2 Rw U2 Rw U r2 U' Rw' U2 Rw r U2 Rw y'/(37,27)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> =Non Dedge-Preserving Last Layer 4-Cycle Cases in Two Dedges=<br /> *These are all of the other 4-cycles that can occur in two dedges in the last layer besides double parity and adjacent double parity.<br /> <br /> ==In Opposite Dedges==<br /> ===Checkerboard===<br /> [[Image:Chkbrd.png|110px|]]<br /> {{Alg|(f2 u' r2 Uw2 S') r (S Uw2 r2 u f2)/(17,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r S2 r S2 r' U2 l2 f2 M2 f2/(21,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r S' L2 S r U2 r U2 r S' L2 S r/(17,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r S R2 S' r U2 r U2 r S R2 S' r/(17,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 S r' U2 r' U2 r' U2 r' U2 r' S' Rw2/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 S' r' U2 r' U2 r' U2 r' U2 r' S Rw2/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r'/(21,13)|Alg_(v1)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' U2 l2 U2 l U2 l' U2 l U2 l2 U2 l'/(21,13)|Alg_(v2)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Bowtie/Hourglass===<br /> {{Alg|r2 U2 l' U2 l F2 U2 r2 U2 r F2 r' F2 r' F2/(25,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U2 r U2 l' U2 r U2 l F2 r' F2 r F2 r2 F2/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(B' R Uw' u' r' f2 Rw2 E) f' (E' Rw2 f2 r u Uw R' B)/(21,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 M' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'/(26,17)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==In Adjacent Dedges==<br /> ===Checkboard===<br /> [[Image:Adjchkbd.png|110px|]]<br /> {{Alg|(R2 Uw' u' r' f2 Rw2 E) f (E' Rw2 f2 r u Uw R2)/(21,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Rw' F2 M2 F) U2 l U2 l2 U2 l U2 l (F' M2 F2 Rw)/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Lw' U2 M2 U) M U2 l U2 l2 U2 l U2 r (U' M2 U2 Lw)/(26,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|R B r U2 M' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r' B' R'/(30,21)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Bowtie/Hourglass===<br /> {{Alg|(R Fw f r u2 Rw2 S) u' (S' Rw2 u2 r' Fw' f' R')/(19,15)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Lw' U2 M2 U' x) r' U2 r' U2 r2 U2 r' U2 (x' U M2 U2 Lw)/(25,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|R B r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r B' R'/(25,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(r U2 M2 U') M' U2 l' U2 l2 U2 l' U2 r' (U M2 U2 r')/(26,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|y2 Fw' r2 Uw2 L' Uw' U' R U F' R' F r' F' R F U' R' Uw U L Uw2 r' Fw Uw Fw' r' Fw Uw' y2/(31,28)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> =Summary of Last Layer 2-cycles and 4-cycles (in two dedges) Movecounts=<br /> *Since there is disagreement among cubers about whether lowest slice quarter turn moves (SQTM) or lowest slice half turn moves (STM) defines the &quot;optimal algorithm&quot;, the table below categorizes all 2-cycle and 4-cycle cases (in two dedges) on the 4x4x4 by the average of the two.<br /> *Algorithms optimal in STM need not be the algorithm with the lowest average of SQTM and STM, and algorithms optimal in SQTM turns need not be the algorithm with the lowest average of SQTM and STM. Therefore the average for a given case might be from an algorithm optimal in SQTM moves, optimal in STM moves or optimal in both.<br /> *Of course this ranking is based off of required moves. It is not based off of the amount of time it takes to solve a case.<br /> *These results will change in the future if shorter algorithms are found for any of these cases.<br /> *The table shows that the &quot;worst case&quot; is '''Adjacent Double Parity''', and that the &quot;easiest case&quot; is the '''Checkerboard Pattern''' (in two opposite edges).<br /> <br /> {|class=&quot;mw_metadata&quot;<br /> |+Arranged by Rank (Worst Last Layer Cases Are First)<br /> |-<br /> ! Last Layer Case !! Minimum SQTM !! Minimum STM !! Optimal Average !! Rank<br /> |-<br /> ! Adjacent Double Parity !! 23 !! 16 !! 19.5 !! 1<br /> |-<br /> ! Bowtie/Hourglass !! 21 !! 15 !! 19 !! 2<br /> |-<br /> ! One Dedge Flip !! 19 !! 15 !! 18.5 !! 3<br /> |-<br /> ! Adjacent Checkerboard !! 21 !! 15 !! 18 !! 4<br /> |-<br /> ! Adjacent 2-Cycle Case 1 (Close &quot;Unoriented&quot; Case)!! 19 !! 15 !! 18 !! 4<br /> |-<br /> ! Double Parity !! 21 !! 14 !! 17.5 !! 5<br /> |-<br /> ! Adjacent Bowtie/Hourglass !! 19 !! 15 !! 17 !! 6<br /> |-<br /> ! Adjacent 2-Cycle Case 2 (Far Adjacent &quot;Unoriented&quot; Case)!! 17 !! 15 !! 17 !! 6<br /> |-<br /> ! Adjacent 2-Cycle Case 3 (“Oriented&quot; Case)!! 16 !! 15 !! 16 !! 7<br /> |-<br /> ! Opposite/diagonal 2-swap !! 16 !! 14 !! 15.5 !! 8<br /> |-<br /> ! Adjacent 2-swap !! 16 !! 12 !! 15.5 !! 8<br /> |-<br /> ! Checkerboard Pattern !! 17 !! 11 !! 14 !! 9<br /> |}<br /> <br /> <br /> =Algorithms Which Don't Preserve the Centers (WCA Notation)=<br /> *These algorithms are for fixing the wing edges, but they do not preserve the centers. Many of these algorithms can be used in solving methods such as the Cage Method.<br /> <br /> ==One Dedge Flip==<br /> {{Alg|Rw2 U r' U' B2 U r U r' U2 B2 Rw2/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U' r' U B2 U' r U' r' U2 B2 Rw2/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 (Dw u') l U' R2 U l' U y r U2 F2 Rw2/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw2 (Dw' u) r' U L2 U' r D' r' U D L2 y' Lw2/(17,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U' r' U B2 U' r U B2 D2 l D2 Rw2/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 (Dw u') l U' R2 U l' U' D2 y l D2 F2 Rw2/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U2 r U2 l' U2 l U2 r' F2 r F2 Rw2/(21,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U2 r U2 l' U2 l U2 r' B2 l B2 Rw2/(21,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l U2 l' U2 Lw2 F2 r' F2 Rw2 U2 l' U2 r x2/(21,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 Uw Bw' Uw' r Uw Rw Bw r' Bw' Rw' Bw Uw' r/(15,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r' U2 r U2 l' U2 r U2 r' U2 l r/(21,14)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r2 U2 r U2 l' U2 l U2 l' U2 r U2 l r/(21,14)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|x r R' U' Rw U' r U Rw' r' U R U' r U r' x'/(15,15)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==One Dedge Flip + PLL Parity (Double Parity)==<br /> *Most of these algorithms are exactly the same as the one dedge flip ones except that the extra quarter turn is inverted.<br /> <br /> {{Alg|Rw' F' u F' D2 F u' F' l D2 F2 Rw/(15,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U r' U' B2 U r U r U2 B2 Rw2/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U' r' U B2 U' r U' r U2 B2 Rw2/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 (Dw u') l U' R2 U l' U y r' U2 F2 Rw2/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw2 (Dw' u) r' U L2 U' r D' r U D L2 y' Lw2/(17,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 U' r' U B2 U' r U B2 D2 l' D2 Rw2/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 (Dw u') l U' R2 U l' U' D2 y l' D2 F2 Rw2/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' Rw2 F2 r F2 r U2 l' U2 l U2 r' U2 Rw2 x/(21,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' y' Uw2 Rw2 Uw' l' Uw Rw2 Uw' l u' U y l U2 l'/(18,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Rw2 b2 D' f' D B2 D' f U' f U D Bw2 Rw2/(19,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l r U2 l U2 r' U2 r U2 r' U2 l' U2 l2/(21,14)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r U2 r' U2 Bw' r Fw r' Bw Rw2 Fw' r Fw Rw2 Fw'/(19,15)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==One Dedge Flip + Adjacent PLL Parity (Adjacent Double Parity)==<br /> {{Alg|(r2 U' Rw U' R' U') r' (U R U Rw' U r2)/(15,13)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|(r2 U F2 U' r' F2) r (F2 r U F2 U' r2)/(19,13)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U Rw U F2 U' r' U F2 r' U' R' U' Rw/(16,14)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|x' r2 U' Rw U' l' U2 l' U2 l' U2 l2 U' Rw' U r2 x/(21,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==Three Flips==<br /> ===OLL Parity (Only)===<br /> {{Alg|(r2 F2 U) r U2 r' U2 r U2 r' U2 r (U' F2 r2)/(23,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|(r2 U2 F' M' U) r U2 r' U2 r U2 r' U2 r (U' M F U2 r2)/(27,19)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ===OLL Parity + PLL Parity (Double Parity)===<br /> {{Alg|(r' U' F' R' F R2 U') r' (U R2 F' R F U r) (r U2 r' U2)/(23,18)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==2-Cycles In Two Adjacent Edges (in the M ring)==<br /> ===Adjacent 2-Swap===<br /> {{Alg|l U' l' U' F2 U l U' F2 U2/(13,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l U l' U F2 U' l U F2 U2/(13,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|z2 y' U2 R2 U l U' R2 U l' U y r z2/(13,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l F2 r' U2 l U2 l' U2 r U2 F2/(17,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|l' U Lw' U L U' l' U L' U' Lw l U'/(13,13)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Opposite/Diagonal 2-Swap===<br /> *Some of these are nearly the same as the one dedge flip algorithms.<br /> <br /> {{Alg|Lw' U' l U B2 U' l' U' l U2 B2 Lw/(15,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' U l U' B2 U l' U l U2 B2 Lw/(15,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' (Dw' u) r' U L2 U' r U' y' l' U2 F2 Lw/(17,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' U Rw' U r' U' Rw r U' R' U r' U' R x/(13,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' R U Rw' U r' U' Rw r U' R' U r' U' x/(13,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' r' Uw Bw' Uw' r Uw Rw Bw r' Bw' Rw' Bw Uw' x/(13,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' (Dw' u) r' U L2 U' r D' r' U D L2 y' Lw/(15,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' U l U' B2 U l' U' B2 D2 r' D2 Lw/(17,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' (Dw' u) r' U L2 U' r U D2 y' r' D2 F2 Lw/(17,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(x') r' U2 r U2 l' U2 l U2 l' U2 r U2 l (x)/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' U2 l' U2 r U2 r' U2 l F2 l' F2 Lw/(19,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|Lw' U2 l' U2 r U2 r' U2 l B2 r' B2 Lw/(21,13)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|M' l' U2 l' U2 l U2 r' U2 l U2 l' U2 l/(20,14)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==2-Cycles In Two Opposite Edges (in the M Ring)==<br /> ===Adjacent 2-Swap===<br /> {{Alg|y Lw' Uw' r Fw r Fw' r2 Uw Lw Uw' r Dw/(13,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U' Rw' U r' U' Rw r U' R' U r' U' R U2/(15,14)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Opposite/Diagonal 2-Swap===<br /> *These are the same as the one dedge flips but without first and last moves.<br /> {{Alg|U r' U' B2 U r U r' U2 B2/(13,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U' r' U B2 U' r U' r' U2 B2/(13,10)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Dw u') l U' R2 U l' D l U' D' R2 y/(13,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U' r' U B2 U' r U B2 D2 l D2/(15,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|(Dw u') l U' R2 U l' U' D2 y l D2 F2/(15,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|x' U2 l U2 r' U2 r U2 l' F2 r F2 x/(17,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U2 r U2 l' U2 l U2 r' F2 r F2/(17,11)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|U2 r U2 l' U2 l U2 r' B2 l B2/(17,11)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==4-Cycles in Adjacent Edges (in the M ring)==<br /> ===Checkboard===<br /> {{Alg|Rw2 U2 r U2 Rw2/(9,5)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Bowtie/Hourglass===<br /> {{Alg|r U2 r' U2 x' U2 r U2 r2 U2 r' U2 r' x/(19,12)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r2 U2 r U2 x' D2 r' U2 r D2 r' U2 r' x/(19,12)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> =Parity Algorithms Which Don't Preserve F3L or the Colors of the Centers (WCA Notation)=<br /> *These algorithms are least practical when it comes to use of parity algorithms, and therefore they are mentioned here for theoretical purposes only. They have fewer moves than any other OLL Parity algorithm forms.<br /> <br /> ==OLL Parity (Only)==<br /> {{Alg|Rw2 U r' U' B2 U r U r' B2 Rw2/(15,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw2 U' r' U B2 U' r U' r' B2 Rw2/(15,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw2 U f U' B2 U f' U l B2 Rw2/(15,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|r' U' R U' r U2 r U2 r U' R' U' r'/(15,13)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==OLL Parity + PLL Parity (Double Parity)==<br /> {{Alg|Uw L U B U' d Fw2 u' Fw2 L' Uw2 y/(14,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Uw L U B d Fw2 u' Fw2 U' L' Uw2 y/(14,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw2 U r' U' B2 U r U r B2 Rw2/(15,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw2 U' r' U B2 U' r U' r B2 Rw2/(15,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw2 U f U' B2 U f' U l' B2 Rw2/(15,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U2 Rw U2 Rw U2 Rw2 U' R U Rw2 U R U' Rw2/(21,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}} <br /> {{Alg|Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U' Rw2 U' R2 U' Rw'/(21,15)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}} <br /> <br /> ==Either OLL Parity (Only) or Double Parity==<br /> *The following list of algorithms can be considered either OLL Parity (Only) or Double Parity. Just exchange the last move Rw' with Lw', Rw with Lw, etc.<br /> <br /> {{Alg|Rw' U' R' U' Rw F' R' F' Rw'/(9,9)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U' R U' Rw F' R F' Rw'/(9,9)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R U' r' D' R D' Rw/(9,9)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R' U Rw U F2 U Rw'/(10,9)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R U' Rw' D' R2 D' Lw/(10,9)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U' F2 U' r B' R B' Lw'/(10,9)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' L U' F2 Lw U' R U' Rw'/(11,10)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' L' U' F2 l U L U Rw'/(11,10)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U' L' U' Rw F2 U L U Rw/(11,10)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U' L' U' B2 Rw' B R B Rw/(11,10)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U R2 U Rw F2 U L' U Rw/(12,10)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U F' U l U2 F' U2 F Rw'/(12,10)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U' R' U' Rw' D' L D L' D' Lw/(11,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Uw F R B' U f' E U M' U Fw/(11,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw U R' U R r' U2 B' L' B' Rw'/(12,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|l' B' u B' D2 B u' B' l D2 l'/(13,11)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw F U' R U Rw' F U R F' U Rw/(12,12)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U F' L F Rw F R B' E y B Rw'/(12,12)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Uw S B D B' R f' R M E R Fw/(12,12)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg|Rw' U' F R' F' Rw F' U' F2 R U Rw'/(13,12)|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> ==2-Cycles==<br /> *Although the following list of algorithms is not &quot;OLL Parity&quot;, where dedge preservation is important, they are the briefest 2-cycle algorithms yet to be found. They do not preserve F3L or the centers. <br /> *These algorithms are nothing more than 2-cycle algorithms which don't preserve centers with beginning and ending outer layer turns omitted.<br /> <br /> {{Alg|r' U' B2 U r U r'/(8,7)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U B2 U' r U' r'/(8,7)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U L2 U' r D' r'/(8,7)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg|r' U' R2 U r D r'/(8,7)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> =External Links=<br /> ==OLL Parity Algorithms==<br /> *http://www.speedsolving.com/forum/showthread.php?11311-4x4x4-OP-DP-algorithms-%28more-finger-friendly%29<br /> *http://www.speedsolving.com/forum/showthread.php?15614-Odd-parity-Algorithms-%28specifically-single-edge-quot-flip-quot-%29<br /> *http://www.speedsolving.com/forum/showthread.php?2727-4x4-Orientation-parity<br /> *http://www.speedsolving.com/forum/showthread.php?12487-4x4-Parity-Algorithms<br /> *http://www.speedsolving.com/forum/showthread.php?30127-New-4x4-parity-algs-using-R-Rw-U<br /> *http://www.twistypuzzles.com/forum/viewtopic.php?f=8&amp;t=8829<br /> *http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixOrientationParity<br /> *http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixBothParities<br /> *http://www.mementoslangues.fr/CubeDesign/4xCubes/DoubleMidgeFlip.pdf<br /> *http://www.speedsolving.com/forum/showthread.php?11409-4x4-Optimal-Solver-v2<br /> *http://apelgam.se/Rubik/4x4parity/<br /> <br /> ==OLL Parity Algorithms which don't preserve F3L==<br /> *http://www.speedsolving.com/forum/showthread.php?37962-Fixing-4x4x4-orientation-parity-earlier-than-usual<br /> *http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners<br /> *http://www.speedsolving.com/forum/showthread.php?17839-WANTED-New-Dedge-Flip-Algorithm!<br /> *http://twistypuzzles.com/forum/viewtopic.php?f=8&amp;t=9502<br /> <br /> ==PLL Parity Algorithms==<br /> *http://frederickbadie.free.fr/444PLLparity.html<br /> *http://www.speedsolving.com/forum/showthread.php?21725-New-Two-Corner-Swap-Algorithm-Technique-for-Big-Even-Cubes-%28PLL-Parity%29<br /> <br /> ==SuperCube Parity Algorithms==<br /> *http://www.speedsolving.com/forum/showthread.php?4659-4x4-algorithm<br /> *http://www.speedsolving.com/forum/showthread.php?37308-Is-a-SuperCube-Safe-Single-Dedge-Flip-Algorithm-Possible-in-lt-U-Rw-gt<br /> *http://www.speedsolving.com/forum/showthread.php?26622-God-s-algorithm-discovered-for-OLL-parity-edge-flip-%28theory%29<br /> <br /> ==Miscellaneous==<br /> *http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes<br /> *http://www.speedsolving.com/forum/showthread.php?26477-Contructing-Algorithms-%28not-a-how-to-sorry%29<br /> *http://www.mementoslangues.fr/(Go to &quot;Cube Design&quot;)</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_Cube&diff=22390 4x4x4 Cube 2012-12-29T17:16:03Z <p>ThomasJE: </p> <hr /> <div>[[Image:Revenge.JPG|thumb|A Rubik's Revenge.]]<br /> [[Image:Howtodismantle4x4.JPG|thumb|How to dismantle a Rubik's Revenge.]]<br /> [[Image:Mechanismrevenge.JPG|thumb|Mechanism]]<br /> The '''Rubik's Revenge''' (also known as the '''4x4x4 cube''', and normally referred to as the '''4x4x4''' or '''4x4''') is a twistable [[puzzle]] in the shape of a cube that is cut three times along each of three axes. The two main speedcubing brands are the [[Shengshou]] and the [[Dayan]] and [[MF8]] cubes. There original brands for this puzzle, all of which were popular for [[speedcubing]]; but have been trumped by the new brands are the [[Rubik's]], patented by [[Peter Sebesteny]] in 1983, the [[East Sheen]], patented by [[Chen Sen Li]] in 1999, and the [[Mefferts]], which is a copy of the old [[Rubik's]] mechanism. <br /> <br /> The [[Rubik's]] brand puzzle has no fixed centers, but a total of 24 [[center]] pieces, a total of 24 [[edge]] pieces, and 8 [[corner]]s. It has 7.4 x 10^45 positions.<br /> <br /> ==See Also==<br /> * [[4x4x4 methods]]<br /> * [[Bigcubes|4x4x4 Cubes]] (brands)<br /> * [[Big Cube methods]]<br /> * [http://en.wikipedia.org/wiki/Rubik's_Revenge The Wikipedia article]<br /> <br /> {{Cubics}}<br /> <br /> [[Category:Twisty puzzles]]<br /> [[Category:Twisty puzzles used in WCA-official events]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=StackMat&diff=21968 StackMat 2012-10-12T14:56:35Z <p>ThomasJE: </p> <hr /> <div>'''Stackmat''' (officially stylized '''StackMat''') is the official timer of Speedstacks and the standard timer used in [[WCA]] competitions. There are two brands of stackmats, the QJ and the Speedstacks, but only the Speedstacks one is used at competition. At least the Generation 2 timer must be used. QJ timers are much cheaper than Speedstacks timers, and one of ttheir timers (3rd gen) has a data port, although none of the QJ models have a data storage feature. QJ has 3 models, but the 1st gen timer is not produced anymore.<br /> <br /> == Pre-WCA use and official adoption ==<br /> Gen-1 (Generation 1) Stackmat timers were first used in [[World Championship 2003]] [who decided this?] and since in every official competition. [[Tyson Mao]] used them in the first Caltech competitions in early 2004. When the [[World Cube Association]] was founded later in 2004, Stackmat timers were adopted as the official timer. The major rival was a timer developed by the official Rubik's brand around 2003. This timer used a light sensor, which is stopped by when the solved cube is placed on top. Among the reasons for the adoption of Stackmat was the real possibility of accidentally dropping the cube, especially during a one-handed solve. Stackmats, which required two hands to stop and so signal the solvers' intention that the solve is complete, was deemed a better solution.<br /> <br /> == Issues ==<br /> * In the large tournament display, the times are shown delayed. As a result, after stopping the timer, the display often seems to &quot;jump&quot; as much as 0.3 second. In most cases, the timer itself times accurate timing. However, there are known cases of verified mistiming, such as this [http://www.youtube.com/watch?v=AKk00RhdhO4 Master Magic solve by Bob Burton] in 2005.<br /> <br /> === Accuracy (timer frequency distribution) issue ===<br /> Gen-2 Stackmat timers, or at least earlier versions of them, do not show all times uniformly; see for example the following links:<br /> * [http://www.stefan-pochmann.info/misc/stackmat/qj_accuracy.png This chart of distributions (Stackmat vs. QJ)]<br /> * [http://www.speedsolving.com/forum/showthread.php?26914-Stackmat-Timer-Accuracy-Resolution Thread about the distribution]<br /> * [http://www.speedsolving.com/forum/showthread.php?15147-SpeedStacks-WCA-Timer/page1 Thread by Tyson Mao about the next generation of Stackmats]<br /> * [http://www.speedsolving.com/forum/showthread.php?20889-Stackmat-test-please-help&amp;p=372945&amp;viewfull=1#post372945 Post about distributions by Stefan Pochmann]<br /> * [http://www.worldcubeassociation.org/results/events.php?eventId=magic&amp;regionId=&amp;years=&amp;show=100%2BResults&amp;single=Single The top-ranked magic results]<br /> <br /> == Criticisms ==<br /> * The large tournament displays cost $100 each and are connected by small cables that can easily break or go missing, rendering the whole display unusable.<br /> * Gen-2 timers have the reset button between the hand plates. When stopping the timer, the solver may accidentally hit reset with the thumb, making the time [[DNF]]. Although this was seen as a major problem at the release of Gen-2 timers, especially for blindfold solvers, there have since been no high-profile (e.g. world record nullified) case of this issue. This was one of the reasons some cubers saw the Gen-2 timer as a step backwards from Gen-1.<br /> <br /> == Gen-3 Stackmat timers ==<br /> Gen-3 Stackmat timers were announced in 2011. They time to thousandths of a second. The WCA decided truncate the results; results will be recorded on the scorecards to thousandths, but only hundredths will be entered into the database. Although this solves the time distribution problem of Gen-2 timers, Gen-3 timers introduced some new issues, most notably some timers failing to stop or resetting when stopped.[http://www.speedsolving.com/forum/showthread.php?25907-US-Nationals-2012-(Las-Vegas)&amp;p=768711&amp;viewfull=1#post768711]<br /> As of US Nationals 2012, Speedstacks is no longer producing Gen-2 timers. <br /> <br /> == Place to buy ==<br /> * Lightake.com QJ Black [http://www.lightake.com/detail.do/sku.36998~C.12332011TXFCIVEFR!]<br /> * Lightake.com QJ White [http://www.lightake.com/detail.do/sku.36999~C.12332011TXFCIVEFR!]<br /> <br /> * Speedstacks official Shop [http://www.speedstacks.com/store/retail/]<br /> <br /> An iPhone port called TapStack© provided by ©ompactGames.<br /> * http://www.compactgames.eu<br /> <br /> <br /> <br /> [[Category:Puzzle hardware]]<br /> [[Category:Competitive Cubing]]<br /> <br /> <br /> {{Stub}}</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=5x5x5_Cube&diff=21871 5x5x5 Cube 2012-09-09T17:14:20Z <p>ThomasJE: </p> <hr /> <div>[[Image:Wiki 5x5x5 solved.jpg|160px|thumb|A Professor Cube in its solved position.]]<br /> The '''Professor's Cube''' (also known as the '''5x5x5 cube''', and normally referred to as the '''5x5x5''' or '''5x5''') is a twistable [[puzzle]] in the shape of a cube that is cut four times along each of three axes. The main brands for this puzzle are the [[Rubik's]], [[East Sheen]], [[V-cube]], and the [[Shengshou]] cubes, which were patented by [[Udo Krell]] in 1986, [[Chen Sen Li]] in 2000, and [[Panagiotis Verdes]].<br /> <br /> This puzzle has 6 fixed [[center]]s, a total of 48 other [[center]] pieces, a total of 36 [[edge]] pieces, and 8 [[corner]]s, and 2.8 x 10^74 positions.<br /> <br /> [[Image:5x5dismantled.JPG|thumb|A Professor cube, partially dismantled.]]<br /> <br /> == See Also ==<br /> * [[:Category:5x5x5 methods]]<br /> * [[:Category:Big Cube methods]]<br /> <br /> == External Links ==<br /> * [http://en.wikipedia.org/wiki/Professor's_Cube The Wikipedia article]<br /> <br /> {{Cubics}}<br /> <br /> [[Category:Twisty puzzles]]<br /> [[Category:Twisty puzzles used in WCA-official events]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=21838 List of cubing websites 2012-09-04T08:10:19Z <p>ThomasJE: </p> <hr /> <div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br /> * [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br /> * [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br /> * [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br /> * [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br /> * [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich's] cubing site. One of the original homes of the Fridrich/CFOP method.<br /> * [http://lar5.com/cube/ Lars Petrus's] cubing site. Home of the Petrus method.<br /> * [http://grrroux.free.fr/ grrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br /> * [http://www.typhoon.fr/ Typhoon.fr] Pierre Bouvier's Cube zone. Host cubing videos and tutorials in french.<br /> * [http://www.francocube.com/ Francocube] French speaking website including a forum.<br /> * [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br /> * [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br /> * [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br /> * [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br /> * [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br /> * [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br /> * [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br /> * [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br /> * [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br /> * [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br /> * [http://cube.garron.us/ Lucas Garron]<br /> * [http://jmbaum.110mb.com/ Jason Baum]<br /> * [http://mzrg.com Michael Gottlieb]<br /> * [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix's] site, has some nice OH algorithms<br /> * [http://solvethecube.110mb.com/ Joël van Noort]<br /> * [http://www.zborowski.republika.pl/ Zbigniew Zborowski's] site. Home of the ZB method.<br /> * [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br /> * [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&amp;sl=ja&amp;tl=en&amp;u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br /> * [http://thomasje.webs.com/ ThomasJE]<br /> <br /> == See also ==<br /> * [[List of YouTube cubers]]<br /> <br /> [[Category:Resources]]<br /> [[Category:Community]]<br /> [[Category:Lists|cubing websites]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=21837 List of cubing websites 2012-09-04T08:08:10Z <p>ThomasJE: Added my website</p> <hr /> <div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br /> * [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br /> * [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br /> * [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br /> * [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br /> * [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich's] cubing site. One of the original homes of the Fridrich/CFOP method.<br /> * [http://lar5.com/cube/ Lars Petrus's] cubing site. Home of the Petrus method.<br /> * [http://grrroux.free.fr/ grrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br /> * [http://www.typhoon.fr/ Typhoon.fr] Pierre Bouvier's Cube zone. Host cubing videos and tutorials in french.<br /> * [http://www.francocube.com/ Francocube] French speaking website including a forum.<br /> * [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br /> * [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br /> * [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br /> * [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br /> * [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br /> * [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br /> * [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br /> * [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br /> * [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br /> * [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br /> * [http://cube.garron.us/ Lucas Garron]<br /> * [http://jmbaum.110mb.com/ Jason Baum]<br /> * [http://mzrg.com Michael Gottlieb]<br /> * [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix's] site, has some nice OH algorithms<br /> * [http://solvethecube.110mb.com/ Joël van Noort]<br /> * [http://www.zborowski.republika.pl/ Zbigniew Zborowski's] site. Home of the ZB method.<br /> * [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br /> * [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&amp;sl=ja&amp;tl=en&amp;u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br /> * [http://cube.garron.us/ ThomasJE]<br /> <br /> == See also ==<br /> * [[List of YouTube cubers]]<br /> <br /> [[Category:Resources]]<br /> [[Category:Community]]<br /> [[Category:Lists|cubing websites]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=Marcell_Endrey&diff=21744 Marcell Endrey 2012-08-21T18:19:21Z <p>ThomasJE: Added his 4BLD WR (can&#039;t remember the exact time)</p> <hr /> <div>{{Infobox<br /> |NAME=Marcell Endrey<br /> |IMAGE=Marcell Endrey.jpg<br /> |IMAGEYEAR=2012<br /> |ALIASES=<br /> |COUNTRY=Hungary<br /> |BIRTHDATE=22 July 1991<br /> |AGE=20<br /> |JOBS=Student<br /> |YEARSACTIVE=2006-present<br /> |ID=2007ENDR01<br /> |FAMOUSFOR=Multi-BLD ERs, 2011 Multi-BLD World Champion, [[List of World Records/3BLD|3BLD WR]]<br /> }}<br /> <br /> '''Marcell Endrey''' (Hungarian pronunciation: ['mɒrtsɛl 'ɛndrɛi]) is a [[Hungary|Hungarian]] speedcuber specializing in the four blindfold cubing events: 3BLD, 4BLD, 5BLD, and [[Multi-BLD]]. Marcell has been among the top European blindfold cubers for 3x3, 4x4, and multi since 2010 and set the 3BLD and 4BLD ERs in 2011. He set the former [[List of World Records/Multi-BLD|world record of 19/19]] for Multi-BLD to win [[World Championship 2011]]. Marcell currently holds the [[List of World Records/3BLD|3BLD WR]] at 27.65 seconds, set at Zune Open 2012. He also holds the [[List of World Records/5BLD|5BLD WR]] at 6:44.77, set at the same event, and the [[List of World Records/4BLD|4BLD WR]]. He is only the 2nd person to have held all four BLD records at some point.<br /> <br /> == Progression ==<br /> Marcell started cubing in the summer of 2006 and soon found the Hungarian cubing community through its website and forum. He focused on blindfold cubing after winning 3BLD at Hungarian Open 2008, his first official competition for the event. After his first NR with 7/7 MBLD at Hungarian Open 2009, Marcell's next national-level achievement was at [[Euro 2010]] in Budapest, where he came in third in 4BLD with an NR and second in 3BLD. The subsequent practice led to his first world-level successes: at Czech Open 2011, recovering his MBLD NR with 11/12 and setting his first 3BLD NR and 4BLD ER, then improving 3BLD to ER at Hungarian Open 2011. The 19/19 MBLD win at [[World Championship 2011]] was his first WR. In early 2012 Marcell set the 3BLD WR of 28.80, and then improved on it a few months later with a time of 27.65 at the Zune Open 2012. At the same event, he set the 5BLD WR of 6:44.77.<br /> <br /> == Trivia ==<br /> * Marcell's first competition was [[WC2007]], held in Budapest.<br /> <br /> == Notable Results on Video ==<br /> * [http://www.youtube.com/watch?v=mCyYPimImyM 3BLD WR 28.80]<br /> * [http://www.speedsolving.com/forum/showthread.php?36667-Marcell-Endrey-3BLD-27.65-WR-and-29.63-mo3 3BLD 27.65 WR and 29.63 mo3]<br /> <br /> == Achievements ==<br /> === Milestones ===<br /> Marcell was the first cuber to officially achieve the following milestone:<br /> * 3x3 blindfolded: sub-30 (28.80)<br /> * 4x4 blindfolded: sub-3 (2.4x.yz)<br /> <br /> === Titles ===<br /> {{S-start}}<br /> <br /> {{S-ach| ach=World Titles}}<br /> <br /> {{S-title-bef| before=[[Tim Habermaas]] | year=2009 }}<br /> {{S-title| title=3x3 Multi-BLD World Champion | year=2011 }}<br /> {{S-inc}}<br /> <br /> {{S-end}}<br /> <br /> == See also ==<br /> * [[List of World Records/Multi-BLD]]<br /> * [[List of World Records/3BLD]]<br /> * [[List of World Records/5BLD]]<br /> <br /> == External links ==<br /> * Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33045-MBLD-19-19-WR-and-3BLD-32.59-by-Marcell-Endrey MBLD 19/19 WR and 3BLD 32.59 by Marcell Endrey]<br /> * Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35132-Interview-with-Marcell-Endrey Interview with Marcell Endrey]<br /> * Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35647-Marcell-Endrey-Rubik-s-Cube-blindfolded-World-Record-28.80s Marcell Endrey Rubik's Cube blindfolded World Record 28.80s]<br /> <br /> [[Category:World record holders|Endrey, Marcell]]<br /> [[Category:World champions|Endrey, Marcell]]<br /> [[Category:MultiBLD solvers|Endrey, Marcell]]<br /> [[Category:Blindfold cubers|Endrey, Marcell]]<br /> [[Category:Speedcubers|Endrey, Marcell]]<br /> [[Category:Cubers|Endrey, Marcell]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=Yu_Nakajima&diff=21743 Yu Nakajima 2012-08-21T17:58:52Z <p>ThomasJE: </p> <hr /> <div>{{Infobox<br /> |NAME=Yu Nakajima<br /> |IMAGE=YuNakajima.jpg<br /> |IMAGEYEAR=<br /> |ALIASES=Nakaji<br /> |COUNTRY=Japan<br /> |BIRTHDATE=February 15, 1991<br /> |AGE=20<br /> |JOBS=<br /> |YEARSACTIVE=2006-2008, 2010-present<br /> |ID=2007NAKA03<br /> |FAMOUSFOR=3x3 and 5x5 WRs<br /> }}<br /> <br /> '''Yu Nakajima''' (中島悠) (commonly known as '''Nakaji''', or more often '''Nakajima''' in the west) is a [[Japan]]ese speedcuber. He won [[3x3]] Speedsolve at [[World Championship 2007]] in Budapest, Hungary. He held the world record for 3x3 single and average in 2008.<br /> <br /> He uses his left hand for [[OH]].<br /> <br /> Nakaji currently works for the Japanese puzzle company [[tribox]], owned by [[Takafumi Haseda]].<br /> <br /> == Fandom ==<br /> Although Yu Nakajima likes to be called Nakaji by the Japanese cubers, the English-speaking community usually calls him Nakajima. Nakajima's meteoric rise attracted a large number of fans. Since he went on a hiatus from cubing at his peak, many cubers wanted to see his return. Numerous posts on the [[Speedsolving Forums]] discussed his possible return, as inferred from the occasional videos he posted on YouTube.<br /> <br /> == Achievements ==<br /> <br /> {{S-start}}<br /> <br /> {{S-ach| ach=World Titles}}<br /> <br /> {{S-title-bef| before=[[Jean Pons]] | year=2005 }}<br /> {{S-title| title=3x3 Speedsolve World Champion | year=2007}}<br /> {{S-title-aft| after=[[Breandan Vallance]] | year=2009 }}<br /> <br /> {{S-ach| ach=World Records}}<br /> <br /> {{S-rec-bef| before=[[Edouard Chambon]] | result=11.48 | dates=February 23, 2008 }}<br /> {{S-rec| category=3x3 Speedsolve Average | result=11.33; 11.33 | dates=May 5, 2008; May 29, 2008 }}<br /> {{S-rec-aft| after=[[Erik Akkersdijk]] | result=11.11 | dates=February 21, 2009 }}<br /> <br /> {{S-end}}<br /> <br /> == See also ==<br /> * [[List of World Records/3x3x3]]<br /> * [[List of World Records/3OH]]<br /> * [[List of World Records/5x5x5]]<br /> * [[List of World Records/7x7x7]]<br /> <br /> == External links ==<br /> * [http://www.youtube.com/user/nakaji1084 Nakajima's YouTube channel]<br /> * [http://www.youtube.com/watch?v=QOSc-1zF6k8 Yu Nakajima Interview (by Shotaro &quot;Macky&quot; Makisumi)]<br /> * [http://www.speedsolving.com/forum/showthread.php?37790-Rubik-s-cube-showdown-Yu-Nakajima-vs-Yumu-Tabuchi Rubik's cube showdown: Yu Nakajima vs Yumu Tabuchi]<br /> <br /> === World Record videos (incomplete) ===<br /> * [http://www.youtube.com/watch?v=h6GnxKGicyg 3x3 speedsolve 8.72 single Kashiwa Open 2008]<br /> * [http://www.youtube.com/watch?v=dPjLF_ururc 3OH 14.56 single Tokyo Open 2008]<br /> * [http://www.speedsolving.com/forum/showthread.php?36303 [video] 5x5 World Record 54.86; AsR 1:07.88, 58.33 (Yu Nakajima)]<br /> <br /> [[Category:World record holders|Nakajima, Yu]]<br /> [[Category:Former world champions|Nakajima, Yu]]<br /> [[Category:OH cubers|Nakajima, Yu]]<br /> [[Category:Speedcubers|Nakajima, Yu]]<br /> [[Category:Cubers|Nakajima, Yu]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=Malaysia&diff=21742 Malaysia 2012-08-21T16:44:37Z <p>ThomasJE: </p> <hr /> <div>'''Malaysia''' is a country in [[Asia]]. Malaysian cubers have held [[WCA]] world records in 2 events: [[5x5 BLD]] ([[Chester Lian]], 14:42, 2010) and [[Multi-BLD]] ([[Chester Lian]], 17/17 in 53:09, 2011).<br /> <br /> == Notable cubers ==<br /> Notable cubers from Malaysia include<br /> * [[Azlysha Azmi]]<br /> * [[Chester Lian]]<br /> <br /> [[Category:Countries]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=List_of_Unofficial_World_Records&diff=21655 List of Unofficial World Records 2012-08-05T07:49:59Z <p>ThomasJE: /* Official NxNxN events */ Updated 3x3 Ao100 record (congrats 5BLD!)</p> <hr /> <div>List of unofficial word records. Note that these are decided by general consensus, and are not in any way officially sanctioned. An older and less up-to-date unofficial world record list can be found at speedcubing.com.<br /> <br /> For official records, see [[List of World Records]].<br /> <br /> == Official NxNxN events ==<br /> {| class=&quot;wikitable&quot;<br /> |-<br /> ! Event<br /> ! Format<br /> ! Result<br /> ! Name<br /> ! Country<br /> ! Result Details<br /> ! Videos<br /> ! Discussion<br /> ! Reconstruction<br /> |-<br /> | rowspan=&quot;3&quot; | 2x2x2<br /> | avg5<br /> | ???<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 1.70<br /> | [[Christopher Olson]]<br /> | USA<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> |2.04<br /> | [[Christopher Olson]]<br /> | USA<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 3x3x3<br /> | avg5<br /> | 6.62<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | [http://www.youtube.com/watch?feature=player_embedded&amp;v=tLZHt7mo6aQ]<br /> |<br /> | <br /> |-<br /> | avg12<br /> | 6.94<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | 7.77<br /> | [[Alexander Lau]]<br /> | UK<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 3x3x3 One-handed<br /> | avg5<br /> | 11.44<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 12.36<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | 13.80<br /> | [[Michał Pleskowicz]]<br /> | Poland<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 4x4x4<br /> | avg5<br /> | 29.07<br /> | [[Sebastian Weyer]]<br /> | Germany<br /> | 29.95 (28.48) 28.56 (39.22) 28.71 [http://forum.speedcubers.de/showthread.php?tid=4229&amp;pid=158130#pid158130]<br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 34.xx<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | ???<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 5x5x5<br /> | single<br /> | 48.23<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg5<br /> | 57.94<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | Official WR<br /> | [http://www.youtube.com/watch?v=-s2Rc-OCcgo]<br /> | <br /> | <br /> |-<br /> | avg12<br /> | 1:01.xx<br /> | [[Feliks Zemdegs]]<br /> | Australia<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 6x6x6<br /> | single<br /> | 1:43.40<br /> | [[Kevin Hays]]<br /> | USA<br /> | <br /> | [http://www.youtube.com/watch?v=2wGYkrFn4f0]<br /> | <br /> | <br /> |-<br /> | avg5<br /> | 1:55.37<br /> | [[Kevin Hays]]<br /> | USA<br /> | <br /> | [http://www.youtube.com/watch?v=2wGYkrFn4f0]<br /> | <br /> | <br /> |-<br /> | avg12<br /> | 1:59.38<br /> | [[Kevin Hays]]<br /> | USA<br /> | <br /> | [http://www.youtube.com/watch?v=2wGYkrFn4f0]<br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 7x7x7<br /> | single<br /> | 2:45.44<br /> | [[Lin Chen]]<br /> | China<br /> | <br /> | [http://a5.sphotos.ak.fbcdn.net/hphotos-ak-ash4/268198_451007788266963_1395242076_n.jpg]<br /> | <br /> | <br /> |-<br /> | avg5<br /> | 3:11.53<br /> | [[Michał Halczuk]]<br /> | Poland<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 3:13.93<br /> | [[Michał Halczuk]]<br /> | Poland<br /> | <br /> | <br /> | <br /> | <br /> |}<br /> <br /> == Official BLD events ==<br /> {| class=&quot;wikitable&quot;<br /> |-<br /> ! Event<br /> ! Format<br /> ! Result<br /> ! Name<br /> ! Country<br /> ! Result Details<br /> ! Videos<br /> ! Discussion<br /> ! Reconstruction<br /> |-<br /> | rowspan=&quot;2&quot; | 3x3x3 BLD<br /> | single<br /> | 19.69<br /> | [[Haiyan Zhuang]]<br /> | China<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg5<br /> | 28.25<br /> | [[Marcell Endrey]]<br /> | Hungary<br /> | <br /> | [http://www.youtube.com/watch?v=Oxp0jrLq4_E]<br /> | <br /> | <br /> |-<br /> | rowspan=&quot;2&quot; | 4x4x4 BLD<br /> | single<br /> | 2:27.50<br /> | [[Ville Seppänen]]<br /> | Finland<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg5<br /> | 3:10.67<br /> | [[Bill Wang]]<br /> | Canada<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;2&quot; | 5x5x5 BLD<br /> | single<br /> | 6:00.49<br /> | [[Marcell Endrey]]<br /> | Hungary<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg5<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | Multi BLD<br /> | single<br /> | 27/27 (47:51)<br /> | [[Marcin Kowalczyk]]<br /> | Poland<br /> | <br /> | [http://www.youtube.com/watch?feature=player_embedded&amp;v=vtqjtxJf4F4]<br /> | <br /> | <br /> |}<br /> <br /> == Official other twisty events ==<br /> {| class=&quot;wikitable&quot;<br /> |-<br /> ! Event<br /> ! Format<br /> ! Result<br /> ! Name<br /> ! Country<br /> ! Result Details<br /> ! Videos<br /> ! Discussion<br /> ! Reconstruction<br /> |-<br /> | rowspan=&quot;3&quot; | Pyraminx<br /> | avg5<br /> | 2.07<br /> | [[Oscar Roth Andersen]]<br /> | Denmark<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 2.49<br /> | [[Oscar Roth Andersen]]<br /> | Denmark<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | 3.00<br /> | [[Oscar Roth Andersen]]<br /> | Denmark<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | Megaminx<br /> | single<br /> | 37.19<br /> | [[Simon Westlund]]<br /> | Sweden<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg5<br /> | 45.51<br /> | [[Simon Westlund]]<br /> | Sweden<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 46.26<br /> | [[Simon Westlund]]<br /> | Sweden<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | Square-1<br /> | avg5<br /> |8.52<br /> | [[Simon Crawford]]<br /> | United Kingdom<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 10.19<br /> | [[Simon Crawford]]<br /> | United Kingdom<br /> | <br /> | <br /> | [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&amp;p=751754#post751754]<br /> | <br /> |-<br /> | avg100<br /> | 11.76<br /> | [[Simon Crawford]]<br /> | United Kingdom<br /> | <br /> | <br /> | <br /> | <br /> |}<br /> <br /> == Official non-twisty events ==<br /> {| class=&quot;wikitable&quot;<br /> |-<br /> ! Event<br /> ! Format<br /> ! Result<br /> ! Name<br /> ! Country<br /> ! Result Details<br /> ! Videos<br /> ! Discussion<br /> ! Reconstruction<br /> |-<br /> | rowspan=&quot;3&quot; | Magic<br /> | avg5<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | Master Magic<br /> | avg5<br /> | 1.64<br /> | [[Ernie Pulchny]]<br /> | USA<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 1.80<br /> | [[Ernie Pulchny]]<br /> | USA<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | Clock<br /> | avg5<br /> | 5.31<br /> | [[Pierre Bouvier]]<br /> | France<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 5.72<br /> | [[Pierre Bouvier]]<br /> | France<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | 6.45<br /> | [[Pierre Bouvier]]<br /> | France<br /> | <br /> | <br /> | <br /> | <br /> |}<br /> <br /> == Unofficial events ==<br /> {| class=&quot;wikitable&quot;<br /> |-<br /> ! Event<br /> ! Format<br /> ! Result<br /> ! Name<br /> ! Country<br /> ! Result Details<br /> ! Videos<br /> ! Discussion<br /> ! Reconstruction<br /> |-<br /> | rowspan=&quot;3&quot; | Skewb<br /> | avg5<br /> | 4.30<br /> | Kristopher de Asis<br /> | Canada<br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg12<br /> | 5.62<br /> | [[Oscar Roth Andersen]]<br /> | Denmark<br /> | someone, please get some super easy scrambles and beat this, thanks! :D<br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | 6.95<br /> | Brandon Harnish<br /> | USA<br /> | Meep and/or Sarah have probably beaten this. Just putting the update here.<br /> | <br /> | <br /> | <br /> |-<br /> | 3x3 SpeedBLD<br /> | single<br /> | 9.18<br /> | [[Alexander Lau]]<br /> | United Kingdom<br /> | I'll create a page for myself, then the link will work :P<br /> | [http://www.youtube.com/watch?v=huyHb4BaHWw]<br /> | <br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 3x3 Team BLD<br /> | single<br /> | 11.96 <br /> | Julian David &amp; Bill Wang<br /> | Canada<br /> | <br /> | <br /> | [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&amp;p=667882#post667882]<br /> | [http://alg.garron.us/?alg=z_y2_U_L2_D-_R-_U2%0A(R_U_R-_U-)3%0AL-_U-_L%0AU_y_R-_U_R%0AU_R_U_R-_U-_R_U_R-%0AU_f_R_U_R-_U-_f-%0AU-_R_U_R-_U-_R-_F_R2_U-_R-_U-_R_U_R-_F-_U2&amp;ini=F_B-_L2_U-_F2_R_U-_R2_D_R_L-_D_U-_F_U_B-_D-_F-_L2_F-_B-_D2_F-_U_F2]<br /> |-<br /> | avg5<br /> | 14.37<br /> | Julian David &amp; Bill Wang<br /> | Canada<br /> | <br /> | <br /> | [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&amp;p=668545#post668545]<br /> | <br /> |-<br /> | avg12<br /> | 15.33<br /> | Julian David &amp; Bill Wang<br /> | Canada<br /> | <br /> | <br /> | [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&amp;p=668545#post668545]<br /> | <br /> |-<br /> | rowspan=&quot;3&quot; | 3x3x2<br /> | avg5<br /> | 10.24<br /> | [[Erik Akkersdijk]]<br /> | Netherlands<br /> | <br /> | [http://www.youtube.com/watch?v=42Nynw1LL_M]<br /> | [http://www.speedsolving.com/forum/showthread.php?19788-Erik-3x3x2-avg-5-10.24-with-review-and-small-tut]<br /> | <br /> |-<br /> | avg12<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | avg100<br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> | <br /> |-<br /> | rowspan=&quot;1&quot; | 2x2 + 3x3 + 3x3 + 4x4 SpeedBLD relay<br /> | Single <br /> | 3:29.78<br /> | Bryan Rusinque<br /> | Uruguay<br /> | <br /> | [http://www.youtube.com/watch?v=UhABt4Qd-sA]<br /> | [http://www.speedsolving.com/forum/showthread.php?34233-2x2-4x4-SpeedBLD-Relay-(UWR-)&amp;p=687834#post687834]<br /> |<br /> |-<br /> | rowspan=&quot;2&quot; | Gigaminx<br /> | Single<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |-<br /> | Mo3/Ao5<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |-<br /> |-<br /> | rowspan=&quot;2&quot; | Starminx I (Face turning)<br /> | Single<br /> | 20:24.35<br /> | [[Chris Wall]]<br /> | United Kingdom<br /> |<br /> |<br /> |<br /> |<br /> |-<br /> | Mo3/Ao5<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |<br /> |-<br /> | rowspan=&quot;1&quot; | 6x6x6 BLD<br /> | Single <br /> | 22:23.73<br /> | Jakob Kogler<br /> | Austria<br /> | Memorization: 9:58<br /> | [http://www.youtube.com/watch?v=VKDTUw9gzyI]<br /> | [http://www.speedsolving.com/forum/showthread.php?35479-6x6x6-Blindfolded-UWR-%28-%29-by-Jakob-Kogler]<br /> |<br /> |-<br /> | rowspan=&quot;1&quot; | 7x7x7 BLD<br /> | Single <br /> | 37:21.70<br /> | Mike Hughey<br /> | USA<br /> | Memorization: 20:21<br /> | <br /> | [http://www.speedsolving.com/forum/showthread.php?3582-Blindfold-Accomplishment-Thread!/page759&amp;p=732357#post732357]<br /> |<br /> |-<br /> | rowspan=&quot;1&quot; | 8x8x8 BLD<br /> | Single <br /> | 1:17:38.25<br /> | Mike Hughey<br /> | USA<br /> | Memorization: 40:10<br /> | [http://www.youtube.com/watch?v=ZD3W8hqRnuc]<br /> | [http://www.speedsolving.com/forum/showthread.php?36755-Mike-Hughey-solves-8x8x8-BLD]<br /> |<br /> |-<br /> |}<br /> <br /> [[Category:Lists|UWR]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21584 4x4x4 parity algorithms 2012-07-28T11:47:58Z <p>ThomasJE: Added the note about the 6x6</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> Algorithms with a lower btm (block half turn) move count are listed first in each category.<br /> <br /> NOTE: These algorithms can be applied to the 6x6 if instead of turning the outer 2 layers, you turn the outer 3 layers. For slice moves, instead of turning 1 slice layer, you turn 2 slices.<br /> ----<br /> ==PLL Parity (WCA Notation)==<br /> <br /> PLL Parity in Two Opposite Edges (&quot;Oriented&quot;)<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 /(12,6)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 /(12,6)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 /(12,6)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 /(14,7)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 /(14,7)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 /(14,7)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> PLL Parity in Two Adjacent Edges (&quot;Oriented&quot;)<br /> {{Alg| R2 D' x r2 U2 r2 Uw2 r2 u2 x' D R2 /(18,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| R2 D' x Rw2 F2 U2 r2 U2 F2 Rw2 x' D R2 /(20,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| F2 U Rw2 U2 F2 r2 F2 U2 Rw2 U' F2 /(20,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y' R' F l E F2 E' l' r' E F2 E' r F' R y /(16,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y' R' F l E' F2 E l' r' E' F2 E r F' R y /(16,14) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> PLL Parity in Two Opposite Edges (&quot;Unoriented&quot;)<br /> {{Alg| F2 l E F2 E' l' r' E F2 E' r F2 /(16,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| F2 l E' F2 E l' r' E' F2 E r F2 /(16,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y R' U F' r2 U2 r2 Uw2 r2 u2 F U' R y' /(18,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 l D2 l' U2 M U2 r D2 r' U2 l' /(19,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y' R' F U' Rw2 U2 F2 r2 F2 U2 Rw2 U F' R y /(20,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y R' U F' Rw2 F2 U2 r2 U2 F2 Rw2 F U' R y' /(20,13) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> PLL Parity in Two Adjacent Edges (&quot;Unoriented&quot;)<br /> {{Alg| R B r2 U2 r2 Uw2 r2 u2 B' R' /(16,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (R B Rw2 F2 U2) r2 (U2 F2 Rw2 B' R') /(18,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (R B Rw2 F2 U2) r2 (U2 F2 Rw2 B' R') /(18,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| ((Lw r') U Rw2 U2 F2) r2 (F2 U2 Rw2 U' (Lw' r)) /(18,11) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Adjacent Two Corner Swap<br /> {{Alg| R U' R B2 L' D L B2 R2 U r2 F2 r2 Fw2 r2 f2 /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z r2 U2 R' U2 R' U2 R x U2 Rw2 U2 B2 L U2 L' U2 Rw2 U2 z' y' /(29,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Rw2 x U2 R' U2 x' U2 R' U2 R U2 L' x U2 Rw2 U2 Rw2 U2 Rw2 x' U2 Rw2 z U /(33,19) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 y' R U R' U' R' F R2 U' R' U' R U R' F' y /(27,20) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' x Rw2 R' U2 Rw' U2 Rw2 U2 Rw2 U2 L Rw' U2 R' U2 R U2 L' R U2 R U2 Rw2 x' z /(35,22) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' x Rw2 R' U2 Rw U2 Rw2 U2 Rw2 U2 L Rw U2 R' U2 R U2 L' R U2 R U2 Rw2 x' z /(35,22) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Diagonal Two Corner Swap<br /> {{Alg| Rw2 f2 U2 Fw2 U' Rw2 U2 Fw2 U Fw2 R2 U2 F2 Rw2 U /(27,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 F2 U2 y Rw2 U' Rw2 U D Lw2' U' Lw2' y' r2 U2 F2 Rw2 U /(27,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z (R2' Uw2' R2 U R2') y (R2 U2 R2' U' R2) y' (R2' Uw2' R2 (Dw' u) R2) Uw2 U2 y' z' /(29,16) |reParity|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 F2 R' F2 U2 R2 U2 R' F2 R2 U2 Rw' r' U2 F2 Rw2 U2 /(30,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 B2 R' U2 Rw2 U2 B2 R' B2 r2 U2 Rw2 B2 U2 R' U2 Rw2 /(31,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 L' U R' U2 L U' L' R U R' U2 L U' R U /(29,21) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 R U2 R U2 R' U2 Rw U2 Rw2 U2 Rw2 U2 L Rw U2 R' U2 R U2 L' Rw2 /(35,22) |cube=4x4x4&amp;notation=WCA}}<br /> *Algorithms for almost all PLL Parity cases can be found here http://www.math.leidenuniv.nl/~mfung/speedcubing/algs/4x4x4/<br /> <br /> <br /> ==Impure Dedge Flips (OLL Parity)(Turn the inner and outer layers simultaneously)==<br /> <br /> *Unless mentioned otherwise, the algorithms in this section are written in SiGN notation in which lowercase letters mean to move the inner and outer layer at the same time (wide turns). <br /> <br /> *Purpose of the notation. Besides its great application to larger cube sizes, it allows us to write wide turn algorithms more simply and compactly.<br /> <br /> ===OLL Parity===<br /> {{Alg| x' r2 U2 l' U2 r U2 r U2 x' U r U' F2 U r' U r2 x /(23,16)|cmowlaparity|cube=4x4x4}}<br /> {{Alg| r U2 x U2 F' r' F U2 F' r F r U2 r' U2 x' r' U2 r' /(23,17) |cube=4x4x4}}<br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' /(25,17)|lucasparity| |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' /(25,17)|lucasparity| |cube=4x4x4}}<br /> {{Alg| r U2 r2 U2 x' U r U' F2 U r' U' l' U2 r U2 r' U2 r' /(25,18) |cube=4x4x4}}<br /> {{Alg| r2 B2 3d' r' 3d r U2 r' 3d' r U' y' r' U2 r' U2 r B2 r2 /(25,18) |cube=4x4x4}}<br /> <br /> ===OLL Parity + PLL Parity (Double Parity)===<br /> {{Alg| r' U2 r' U2 l U2 r' U2 r U2 x U2 r2 U2 r' U2 r /(25,16)|cube=4x4x4}}<br /> {{Alg| l' U2 l U2 l' U2 l' U2 r U2 l' U2 l U2 x' U2 l2 /(25,16)|cube=4x4x4}}<br /> {{Alg| Rw U2 Rw U2 Rw U R Rw U2 R2 U Rw U Rw2 R U Rw U' Rw /(23,19)(WCA)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' U2 Rw' U2 Rw' U' R' Rw' U2 R2 U' Rw' U' R' Rw2 U' Rw' U Rw' /(23,19)(WCA)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Impure Dedge Flips with Wide Turns/Pure Flips with Inner Layer Turns (SiGN Notation)==<br /> <br /> ===OLL Parity===<br /> *If the following group of algorithms is executed using WCA notation (where lowercase = inner layer turns), pure one dedge flips will result.<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 /(25,15)|Frédérick_Badie(v1)|cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 /(25,15)|Frédérick_Badie(v2)|cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 /(25,15) |cube=4x4x4}}<br /> {{Alg| x' r2 U2 l' U2 r U2 l F2 U r U' F2 U r' U r2 x /(23,16)|cmowlaparity|cube=4x4x4}}<br /> {{Alg| r U2 F2 D' r' D F2 D' r D r F2 r' F2 r' U2 r' /(23,17)|cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 l F2 r' F2 r' U2 r' /(25,17)|lucasparity|cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 l x /(27,17) |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' /(27,18) |cube=4x4x4}}<br /> {{Alg| r2 F2 r' U2 r U2 r' U2 r U2 r' F2 r' U2 l' r' U2 l /(27,18) |cube=4x4x4}}<br /> <br /> ===OLL Parity + PLL Parity (Double Parity) (SiGN Notation)===<br /> *If the following group of algorithms is executed using WCA notation (where lowercase = inner layer turns), pure one dedge flips + PLL Parity will result.<br /> {{Alg| r2 B2 r' U2 r' U2 x' U2 r' U2 r U2 r' U2 r2 U2 x /(25,15)|cube=4x4x4}}<br /> <br /> ==Pure Flips (In WCA Notation Unless Mentioned Otherwise.)==<br /> <br /> ===OLL Parity: One Dedge Flip===<br /> {{Alg| x' Rw2 U2 Lw' U2 r U2 Rw U2 x' U r U' F2 U r' U Rw2 x /(23,16)|cmowlaparity|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' Rw2 U2 Lw' U2 r U2 Rw U2 x' U' r U F2 U' r' U' Rw2 x /(23,16)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw Uw2 x' U D r y Uw2 Rw2 Uw r Uw' Rw2 Dw r' u D' x Uw2 Rw' /(22,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 F2 D' r' D F2 D' r D Rw F2 r' F2 Rw' U2 Rw' /(23,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 F2 D r' D' F2 D r D' Rw F2 r' F2 Rw' U2 Rw' /(23,17)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 r' U2 r U2 l' U2 l F2 r' F2 Rw' U2 Rw'/ (25,17)|lucasparity|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z Dw' M D Lw' Uw' r' Uw Lw Uw' Lw2' Bw' r' Bw Rw' R' u y' M' Uw x2 z' /(19,18)|Holy_Grail|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' E Uw2 Fw Uw Rw' r' Fw' r Fw Rw Uw' Fw' Uw r Uw E' Rw /(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' S Bw2 Dw r Dw' Bw Dw r' Dw' r' Bw' r Bw r Bw S' Lw /(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' F' b' Rw' Bw' Rw u Rw' Bw Rw u2 Bw' u Bw u b F Lw /(19,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 F' r U' R U' r' U R' U r' F' U2 r' U2 r F2 Rw2 /(23,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z r f2 3u U y' 2R' u2 y' l2 u' 2R' u l2 u' 2R 3u' u' U' x' u2 r' z /(23,18)(SiGN) |cube=4x4x4}}<br /> {{Alg| Rw2 B2 U' b' U r U2 r' U' b U' Rw' U2 r' U2 Rw B2 Rw2 /(25,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw2 U2 x' U r U' F2 U r' U' Lw' U2 r U2 Rw' U2 Rw' /(25,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw2 U2 x' U' r U F2 U' r' U Lw' U2 r U2 Rw' U2 Rw' /(25,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 r' U2 Rw U2 l' U2 r U2 r' U2 (Rw' l) Rw' U2 Rw' /(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 U2 r U2 r U2 r' U2 B2 U' r' U B2 U' r U' /(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 U2 r U2 r U2 r' U2 B2 U r' U' B2 U r U /(27,18)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' E Uw b' Uw r Uw r' Uw' b Uw r' Uw' r Uw r Uw E' Rw /(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' E Uw' r' Uw Lw' Uw' Fw Rw' Fw' r' Fw r Rw Fw' Uw Lw E' Rw /(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' D' u' Uw' Rw f Rw' Uw Rw f' Rw' f' Uw' f Uw f u D Rw /(19,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' E R Uw' Fw' u' Fw Uw2 Bw' Uw Fw' u' Fw U' Bw Uw' R' E' Rw /(20,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Dw' F' z Rw2 B2 x' l' Dw Uw Rw2 Dw' l' Dw Rw2 Dw' l u' U Rw2 D Rw z' /(24,19)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' E r' f' Dw' f' Dw Fw Lw' f Fw Dw' f' Dw Fw' Lw F' r E' Rw /(20,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw Fw' D r' Dw b Dw b' Dw' r Dw b' Dw' b Dw b Dw2 D' Fw Uw' /(21,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Fw' U' l u2 Lw Bw' Lw' u Lw Uw Bw u' Bw' Uw' Bw Lw' u l' U Fw /(21,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U L F' U l' Dw Uw Rw2 Dw' l' Dw Rw2 Dw' l Uw' U' F L' U' Rw' /(23,20)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Bw' R' u Rw' r' Uw Bw' Uw' r Uw Rw Bw r' Bw' Rw' Bw Uw' Rw u' R Bw /(21,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Bw' R' u Rw' l' Dw Bw' Dw' l Dw Lw Bw l' Bw' Lw' Bw Dw' Rw u' R Bw /(21,21)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Fw' Uw r' Uw' Fw Uw r' Fw' U L u l Uw' r' Uw l' u' L' U' Fw r2 Uw' z /(23,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Fw' Uw r' Uw' Fw Uw r' Fw' f' U L U' f r' f' U L' U' f Fw r2 Uw' z /(23,22)|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Fw' Uw r' Uw' Fw Uw r' Fw' f' L Fw R' F' r' F R Fw' L' f Fw r2 Uw' z /(23,22)|cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===One Dedge Flip + PLL Parity (Double Parity)===<br /> {{Alg| r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l y2 /(21,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2 /(25,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2 /(25,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 r' U2 l U2 r' U2 r U2 M' U2 r2 U2 r' U2 r /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 r U2 r' U2 r' U2 l U2 r' U2 r U2 M' U2 r2 /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===One Dedge Flip + Adjacent PLL Parity (Adjacent Double Parity)===<br /> {{Alg| r2 F Rw' F' U2 r U2 r U2 r U2 r2 F Rw F' r2 /(23,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' z' L' U r F U2 r U2 r U2 r U2 r2 F' r' U' L z Rw /(23,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' r2 U' Rw U M' U2 r' U2 r' U2 r' U2 l r U' Rw' U r2 x /(24,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| R B r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l y2 B' R' /(25,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| R B r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B R' /(27,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U x' U2 r U2 r' F2 l F2 U' L' U' l U L U l' x U' Rw2 /(25,19) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> *For algorithms for OLL + OLL Parity and OLL Parity + F3L, see http://www.math.leidenuniv.nl/~mfung/speedcubing/algs/4x4x4/<br /> <br /> <br /> ==Other ELL Cases (WCA Notation)==<br /> <br /> ===4-Cycles in Two Opposite Edges===<br /> Checkerboard pattern (Adj. 2-swap 2-Swap + Two Flip)<br /> {{Alg| (f2 u' r2 Uw2 S') r (S Uw2 r2 u f2) /(17,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| f2 M2 f2 l2 U2 r S2 r' S2 r' U2 r2 /(21,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Bowtie/Hourglass (Adj. 2-swap + Pll Parity)<br /> {{Alg| r2 U2 l' U2 l F2 U2 r2 U2 r F2 r' F2 r' F2 /(25,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (B' R Uw' u' r' f2 Rw2 E) f (E' Rw2 f2 r u Uw R' B) /(21,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 M U2 r' /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 M' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r' /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===4-Cycles in Two Adjacent Edges===<br /> <br /> Checkboard Pattern<br /> {{Alg| (R2 Uw' u' r' f2 Rw2 E) f (E' Rw2 f2 r u Uw R2) /(21,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' F2 M2 F l' U2 l' U2 l2 U2 l' U2 F' M2 F2 Rw /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 M2 U' M U2 r' U2 r2 U2 r' U2 l' U M2 U2 Rw' /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Bowtie/Hourglass<br /> {{Alg| L' Fw' f' l' u2 Lw2 S' u S Lw2 u2 l f Fw L /(19,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 M2 U' x r' U2 r' U2 r2 U2 r' U2 x' U M2 U2 Lw /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| R B r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' B' R' /(25,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l' U2 M2 U M' U2 r U2 r2 U2 r U2 l U' M2 U2 l /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> ===2-Cycles in Two Opposite Edges===<br /> <br /> Adjacent 2-swap<br /> {{Alg| r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' /(19,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r U2 x U2 r U2 l' x' U2 l U2 r2 /(19,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2 /(19,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U2 l U2 r' U2 r U2 (Rw l') U2 r U2 Rw /(20,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' U2 r' U2 (Rw' l) U2 r' U2 r U2 l' U2 Rw2 /(20,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l' U2 l' U2 M' U2 l' U2 l U2 r' U2 l2 /(20,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r U2 M' U2 r U2 r' U2 l U2 r2 /(20,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Lw U' r Uw Lw' Uw' r Fw r Fw' r2 Uw Lw u' Lw' z /(16,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l2 D' f' D r D2 r' D' f D' l' F2 r' F2 l' /(19,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| b u Bw' Rw' f' Rw Bw Rw' f2 Uw' f' Uw f' Rw u' b' /(17,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 r U2 Rw U2 Rw2 F r F' Rw2 U2 Rw2 F r' F' /(23,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Fw' Uw r' Uw' Fw Uw r' Fw' f' L f r' f' L' f Fw r2 Uw' /(19,18) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Opposite/diagonal 2-swap<br /> {{Alg| l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r z2 /(21,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l' z2 /(21,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2 /(25,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 B2 U2 r U2 r2 B2 r' U2 r2 U2 B2 r' B2 /(25,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw Lw' Uw' l' Uw Lw2 Dw' Lw Uw' l' Uw L' Dw Lw' Uw' /(16,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw Lw' Uw' l' Uw Lw Fw' Lw2 Uw' l' Uw Lw' L' Fw Uw' /(16,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw Lw' Bw' r' Bw Lw2 Bw' Rw Fw' r' Fw R' Bw Lw' Uw' /(16,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Fw' L2 Uw b' Uw' Rw2 Uw B' Uw b' Uw' Bw Uw' l2 Fw z y2 /(18,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Fw Uw' B2 Lw u' Lw' Bw2 Rw2 d' Rw' d Rw' b2 Uw Fw' /(19,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw Rw' F2 Rw' f Rw Bw2 Lw2 u Lw u' Rw u2 Rw Uw' y2 /(19,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 F2 U2 r U2 x U2 Rw2 U2 r' U2 l r U2 l' U2 x' /(25,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y' Rw' F U' r Uw2 y Lw2 Dw r Dw' Lw2 Dw r' Uw U F' Rw y /(19,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l' /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r F2 D2 l D2 F r2 U2 r2 F r' F' r2 U2 r2 F /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r' U2 r' U2 l U2 r' U2 r U2 M' U2 r2 U2 r' /(26,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw' Lw' Fw R' Fw' d' Fw R Fw' Lw2 Fw2 Rw' u' Rw Fw2 Lw' b Uw /(21,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' l' Uw Rw' Uw' l Uw Fw Uw B' l2 B r' B' l2 B Uw' Fw' Rw Uw' x /(21,19) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===2-Cycles in Two Adjacent Edges===<br /> <br /> Case 1 (Close Adjacent &quot;unoriented&quot;)<br /> <br /> {{Alg| l2 r' U B2 U' r U B2 Lw U2 r U2 Lw' U' l2 /(21,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' l2 F U2 l U2 r' U2 r U2 F2 r F2 l' F' l2 x /(23,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r U2 F' L F' r F L' F l' U2 l U2 r2 /(21,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' l2 F U2 l U2 r' U2 r U2 (l' Rw) U2 r U2 Rw' F' l2 x /(24,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' F Lw2 b Uw' Rw Uw b' Uw' b' Rw' b Rw b Rw' Uw Lw2 F' z /(19,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' F Rw2 Uw' Bw r' Bw' Uw Bw Rw' Uw' r' Uw Rw r Bw' Rw2 F' z /(19,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' F Lw2 z Lw' Bw r' Bw' Lw Bw Rw' Dw' r' Dw Rw r Fw' Lw2 F' z /(19,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw b' Uw2 Rw' Uw' f Uw Rw Uw' f Rw' f Rw f2 Uw' b Rw' /(19,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 l U2 r' U2 r U2 F' L F' r F L' F l' r2 /(23,17) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Case 2 (Far Adjacent &quot;unoriented&quot;)<br /> {{Alg| l2 r' U' B2 U r U' B2 Lw U2 r U2 Lw' U l2 /(21,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x Rw2 F' U2 l U2 r' U2 r U2 F2 r F2 l' F Rw2 x' /(23,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r U2 F R' F r F' R F' l' U2 l U2 r2 /(21,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x Rw2 F' U2 l U2 r' U2 r U2 (l' Rw) U2 r U2 Rw' F Rw2 x' /(25,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw l b Uw' Rw Uw b' Uw' b' Rw' b Rw b Rw' Uw Lw' l' /(17,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw l z Lw' Bw r' Bw' Lw Bw Rw' Dw' r' Dw Rw r Fw' Lw' l' /(17,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw l Uw' Bw r' Bw' Uw Bw Rw' Uw' r' Uw Rw r Bw' l' Rw' /(17,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' l' x' U2 l U2 r' U2 r U2 x U R U r U' R' U' Rw /(21,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 l U2 r' U2 r U2 F R' F r F' R F' l' r2 /(23,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z Dw' (M R') D Lw' Uw' r' Uw Lw Uw' Lw2' Bw' r' Bw Rw' R' u y' (M' R) Uw x2 z'/(19,18) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Case 3 (&quot;Oriented&quot; Case)<br /> {{Alg| Lw2 b Uw' Rw Uw b' Uw' b' Rw' b Rw b Rw' Uw Lw2 /(17,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 Uw' Bw r' Bw' Uw Bw Rw' Uw' r' Uw Rw r Bw' Rw2 /(17,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw2 z Lw' Bw r' Bw' Lw Bw Rw' Dw' r' Dw Rw r Fw' Lw2 /(17,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 f Uw' Bw Dw r' Dw' r' Bw' r Bw r Bw' Uw Rw2 /(17,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Fw' l' Uw' Bw2 Uw' r Uw Bw2 Uw2 r Uw r' Uw2 l Fw z /(19,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' Fw Rw' Fw' r' Fw Rw Uw' Rw' r' Fw' r' Fw R r' Uw Fw' x /(16,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Fw z' L' Dw' l Dw Lw Bw' Lw L Dw' l Dw Lw2 Fw u' Fw' /(17,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw' Fw l' Fw' Uw Fw l' Uw2 R Uw l' Uw' R' Uw2 l2 Fw' /(19,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' Uw Lw Uw' r2 Fw2 Lw' Fw r' Fw' Lw Fw2 r' Uw Lw' Uw' /(19,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Lw Uw' r Uw Lw' Uw' r Fw2 L' Fw' r Fw L Fw2 r2 Uw z /(19,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Bw' Uw2 r' Dw l' Dw' r Uw' Lw2 Uw' r' Uw Lw2 Uw' r Bw /(19,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' Uw Lw' Uw2 r Uw' l Uw r' Uw2 L Uw' Bw2 Uw l Uw' Bw2 z /(20,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x l2 U2 r U2 r' F2 l F2 U L U l U' L' U' l x' /(21,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l2 r' U F2 U' l U F2 Rw U2 l U2 Rw' U' l r /(21,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Lw r') l U F2 U' l U F2 Rw U2 l U2 Rw' U' l2 (Lw' r) /(21,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| R B r U2 r U2 x U2 r U2 l' x' U2 l U2 r2 B' R' /(23,16) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x l' U L U l' U' L' U' x U2 l' U2 l U2 r' U2 l r x2 /(21,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x r U' R' U' r U R U M' U2 r U2 r' U2 l U2 r2 x' /(22,17) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' f' Uw Rw' Fw' r' Fw Rw Uw' f r' Uw Rw' Fw' r' Fw Rw Uw' r2 x /(19,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U' F2 U r' U' F2 r' F' R' F' r' F R F r U r2 /(21,18) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z' r' Uw Bw Uw' Bw L Bw r Bw' L' Bw' Uw Bw' Lw Uw' r Uw Lw' Uw' z /(19,19) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l' Uw Rw' Uw' l Uw Fw Uw B' Rw2 F r' F' Rw2 B Uw' Fw' Rw Uw' /(21,19) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> *More ELL cases for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ==Summary of 2-Cycle and 4-Cycle ELL Case Movecounts==<br /> *Since there is disagreement among cubers about whether lowest q moves or lowest btm moves defines the &quot;optimal algorithm&quot;, the table below categorizes all 2-cycle and 4-cycle ELL cases on the 4x4x4 by the average of q moves and btm.<br /> *Algorithms optimal in btm need not be the algorithm with the lowest average of q and btm, and algorithms optimal in q turns need not be the algorithm with the lowest average of q and btm. Therefore, the average for a given case might be from an algorithm optimal in q moves, optimal in btm moves, or optimal in both.<br /> *Of course, this ranking is based off of required moves. It is not based off of the amount of time it takes to solve a case.<br /> *These results will change in the future if shorter algorithms are found for any of these cases.<br /> *The table shows that the &quot;worst case&quot; is '''Adjacent Double Parity''', and that the &quot;easiest case&quot; is the '''Checkerboard Pattern''' (in two opposite edges).<br /> <br /> <br /> {| class=&quot;mw_metadata&quot;<br /> |+Arranged by Rank (Worst Last Layer Cases Are First)<br /> |-<br /> ! Last Layer Case !! Minimum q Turns !! Minimum btm !! Optimal Average !! Rank<br /> |-<br /> ! Adjacent Double Parity !! 23 !! 16 !! 19.5 !! 1<br /> |-<br /> ! Bowtie/Hourglass !! 21 !! 15 !! 19 !! 2<br /> |-<br /> ! Single Dedge Flip !! 19 !! 15 !! 18.5 !! 3<br /> |-<br /> ! Adjacent Checkerboard !! 21 !! 15 !! 18 !! 4<br /> |-<br /> ! Adjacent 2-Cycle Case 1 (Close &quot;Unoriented&quot; Case) !! 19 !! 15 !! 18 !! 4<br /> |-<br /> ! Double Parity !! 21 !! 14 !! 17.5 !! 5<br /> |-<br /> ! Adjacent Bowtie/Hourglass !! 19 !! 15 !! 17 !! 6<br /> |-<br /> ! Adjacent 2-Cycle Case 2 (Far Adjacent &quot;Unoriented&quot; Case) !! 17 !! 15 !! 17 !! 6<br /> |-<br /> ! Adjacent 2-Cycle Case 3 (“Oriented&quot; Case) !! 16 !! 15 !! 16 !! 7<br /> |-<br /> ! Opposite/diagonal 2-swap !! 16 !! 14 !! 15.5 !! 8<br /> |-<br /> ! Adjacent 2-swap !! 16 !! 12 !! 15.5 !! 8<br /> |-<br /> ! Checkerboard Pattern !! 17 !! 11 !! 14 !! 9<br /> |}<br /> <br /> <br /> <br /> ==Algorithms Which Don't Preserve F3L==<br /> <br /> *All of the 13 btm algorithms in this section have many variations, but yet all variations are the same as the few algorithms listed below. The following &quot;translations&quot; of the 13 btm algorithms work on all cube sizes.<br /> *For a list of more variations of the 13 btm algorithms (but definitely not all possible variations), see<br /> http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> <br /> *All algorithms are in SiGN Notation unless mentioned otherwise, and you may perform the following algorithms without wide turns (except for the (15,15) solutions and the (U, Rw, R) solutions), but they won't preserve as much.<br /> <br /> ===OLL Parity===<br /> {{Alg| Rw B U2 B' r B2 l B2 r B' D2 B Rw /(17,13) |Alg_1|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r B' U2 B r B2 l B2 r B D2 B' r /(17,13)|Alg_2|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| x' r' U F2 U' l' U2 r' U2 r' F' U2 F r' /(17,13)|Alg_2(v2)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x' /(17,13)|Alg_2(v3)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x /(17,13)|Alg_2(v4)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r U F2 U' l F2 2R U2 r U B2 U' r /(17,13)|Alg_3|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r U' F2 U l F2 2R U2 r U' B2 U r /(17,13)|Alg_4|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| Uw M R D R' Fw f E' l' E Fw b E F Lw /(15,15)(WCA) |cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg| r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' /(21,15) |cube=4x4x4}}<br /> {{Alg| r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' /(21,15)(WCA) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw' /(25,17)(WCA) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> <br /> ===OLL Parity + PLL Parity (Double Parity)===<br /> {{Alg| r F2 U2 l F U' R U' r2 B2 r' B2 r2 /(19,13) |Alg_1|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x' /(20,14) |Alg_1(v2)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x' /(20,14) |Alg_1(v3)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r F2 U2 l F' U L' U r2 B2 r' B2 r2 /(19,13) |Alg_2|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x' /(20,14) |Alg_2(v2)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x' /(20,14) |Alg_2(v3)|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r F2 U2 l F U' (L' R) U' r2 B2 r' B2 r2 /(19,13) |Alg_3|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r F2 U2 l F' U (L' R) U r2 B2 r' B2 r2 /(19,13) |Alg_4|cube=4x4x4&amp;animtype=Generator}}<br /> {{Alg| r U2 r' U2 r' D2 r D2 r' B2 r B2 r' /(19,13)(WCA)|Affects_M-Layer_Only|cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw R' b E' d' L' b L u' b2 Uw M' B' Uw /(15,15)(WCA) |cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg| Uw S L B' R u d f' u d L B' R S Uw /(15,15)(WCA) |cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg| Uw S L' F R' u d f' u d L' F R' S Uw /(15,15)(WCA) |cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> {{Alg| Rw' U2 r U2 Rw' x' U2 r' U' R' U' Rw' U2 Rw U R U' Rw x /(21,17)(WCA) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw U Rw U2 R' U Rw U R Rw2 U Rw U' Rw /(21,18)(WCA) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' U R U (Rw' U2)3 Rw2 U R' U' Rw2 U' R' U Rw' /(24,19)(WCA) |Pochmann_PetrusParity|cube=4x4x4&amp;animtype=Generator&amp;notation=WCA}}<br /> <br /> <br /> *To see more detailed information on how most of the brief algorithms were found, see http://cubezzz.dyndns.org/drupal/?q=node/view/230<br /> <br /> <br /> <br /> ==Cage Method/Sandwich Method Algorithms (WCA Notation)==<br /> *These algorithms are for fixing the wing edges, but they do not preserve the centers.<br /> <br /> ===Single Dedge Flip===<br /> {{Alg| Rw2 U r' U' B2 U r U r' U2 B2 Rw2 /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U' r' U B2 U' r U' r' U2 B2 Rw2 /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 (Dw u') l U' R2 U l' U y r U2 F2 Rw2 /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw2 (Dw' u) r' U L2 U' r D' r' U D L2 y' Lw2 /(17,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U' r' U B2 U' r U B2 D2 l D2 Rw2 /(19,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 (Dw u') l U' R2 U l' U' D2 y l D2 F2 Rw2 /(19,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U2 r U2 l' U2 l U2 r' F2 r F2 Rw2 /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U2 r U2 l' U2 l U2 r' B2 l B2 Rw2 /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| l U2 l' U2 Lw2 F2 r' F2 Rw2 U2 l' U2 r x2 /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 Uw Bw' Uw' r Uw Rw Bw r' Bw' Rw' Bw Uw' r /(15,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x r R' U' Rw U' r U Rw' r' U R U' r U r' x' /(15,15) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===OLL Parity + PLL Parity (Double Parity)===<br /> *Most of these algorithms are exactly the same as the single dedge flip ones except that the extra quarter turn is inverted.<br /> {{Alg| Rw' F' u F' D2 F u' F' l D2 F2 Rw /(15,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U r' U' B2 U r U r U2 B2 Rw2 /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U' r' U B2 U' r U' r U2 B2 Rw2 /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 (Dw u') l U' R2 U l' U y r' U2 F2 Rw2 /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw2 (Dw' u) r' U L2 U' r D' r U D L2 y' Lw2 /(17,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U' r' U B2 U' r U B2 D2 l' D2 Rw2 /(19,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 (Dw u') l U' R2 U l' U' D2 y l' D2 F2 Rw2 /(19,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U2 r U2 l' U2 l U2 r' F2 r' F2 Rw2 /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===In Two Adjacent Edges (in the M ring)===<br /> Adjacent 2-Swap<br /> {{Alg| r' U r U F2 U' r' U F2 U2 /(13,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U' r U' F2 U r' U' F2 U2 /(13,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| y' U2 R2 U l U' R2 U l' U y r /(13,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| F2 U2 l U2 r' U2 r U2 l' F2 r /(17,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U' Rw U' R' U r U' R U r' Rw' U /(13,13) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Opposite/Diagonal 2-Swap (The majority are nearly the same as the one dedge flip algorithms.)<br /> {{Alg| Rw U r' U' B2 U r U r' U2 B2 Rw' /(15,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U' r' U B2 U' r U' r' U2 B2 Rw' /(15,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw (Dw u') l U' R2 U l' U y r U2 F2 Rw' /(17,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' U Rw' U r' U' Rw r U' R' U r' U' R x /(13,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| x' R U Rw' U r' U' Rw r U' R' U r' U' x /(13,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' Uw Bw' Uw' r Uw Rw Bw r' Bw' Rw' Bw Uw' /(13,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' (Dw' u) r' U L2 U' r D' r' U D L2 y' Lw /(15,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U' r' U B2 U' r U B2 D2 l D2 Rw' /(17,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw (Dw u') l U' R2 U l' U' D2 y l D2 F2 Rw' /(17,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 r U2 l' U2 l U2 r' F2 r F2 Rw' /(19,13) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 r U2 l' U2 l U2 r' B2 l B2 Rw' /(21,13) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===In Two Opposite Edges (in the M Ring)===<br /> Adjacent 2-Swap<br /> {{Alg| y Lw' Uw' r Fw r Fw' r2 Uw Lw Uw' r Dw /(13,12) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Opposite/Diagonal 2-Swap (These are the same as the single dedge flips but without first and last moves.)<br /> {{Alg| U r' U' B2 U r U r' U2 B2 /(13,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| U 'r' U B2 U' r U' r' U2 B2 /(13,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Dw' u) r' U L2 U' r D' r' U D L2 y' /(13,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| U' r' U B2 U' r U B2 D2 l D2 /(15,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Dw u') l U' R2 U l' U' D2 y l D2 F2 /(15,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| U2 l U2 r' U2 r U2 l' F2 r F2 /(17,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| U2 r U2 l' U2 l U2 r' F2 r F2 /(17,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| U2 r U2 l' U2 l U2 r' B2 l B2 /(17,11) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===4-Cycles in Adjacent Edges (in the M ring)===<br /> <br /> Checkboard Pattern 4-cycle (Adj. 2-swap 2-Swap + Two Flip)<br /> {{Alg| Rw2 U2 r U2 Rw2 /(9,5) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Bowtie/Hourglass (Adj. 2-swap + Pll Parity)<br /> {{Alg| r U2 r' U2 x' U2 r U2 r2 U2 r' U2 r' x /(19,12) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Supercube/Blindfold Solving Algorithms (WCA Notation)==<br /> <br /> ===Supercube Safe PLL Parity===<br /> In Two Opposite Edges (&quot;Oriented)<br /> {{Alg| r2 U2 B2 l r U2 M' U2 r2 B2 U2 /(19,11) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r U2 r2 U2 r2 U2 r U2 r2 U2 /(22,12) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' F U' R F' U l r U' F R' U F' l' /(14,14) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> In Two Adjacent Edges (&quot;Oriented&quot;)<br /> {{Alg| R' F l E F2 E' l' r' E F2 E' r F' R /(16,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| R' F l E' F2 E l' r' E' F2 E r F' R /(16,14) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Supercube Safe OLL Parity===<br /> Single Dedge Flip<br /> {{Alg| r' U2 r' U' r U r U r' D' f2 r f2 r' D U2 r' U r U r U r /(27,23) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 U2 r' U2 r' U' l r u2 l' r' U l r u2 x U2 l' U2 r U2 r' U2 Rw2 x' /(33,23) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> '''2-Cycles in Two Opposite Edges'''<br /> <br /> Adjacent 2-swap<br /> {{Alg| r' U' r' U r U r' U' r' U' r D b2 r' b2 r U2 D' r U' /(23,20) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| U2 l' U2 r U2 r' U2 x' U2 r' U2 r' U' l r u2 l' r' U l r u2 x /(29,21) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Opposite/diagonal 2-swap<br /> {{Alg| x' U2 r' U' r U r U r' D' f2 r f2 r' D U2 r' U r U r U x /(25,21) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 r' U2 r' U' l r u2 l' r' U l r u2 x U2 l' U2 r U2 r' U2 Rw' x' /(31,23) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> '''2-Cycles in Two Adjacent Edges'''<br /> <br /> Case 1 (Close &quot;Unoriented&quot; Case)<br /> {{Alg| r' U' r' U' r U r U r' D' f2 r f2 r' D U2 r' U r U r2 /(25,21) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Case 2 (Far Adjacent &quot;Unoriented&quot; Case)<br /> {{Alg| r' U r' U r U' r U' r' D b2 r b2 r' D' U2 r' U' r U' r2 /(25,21) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> Case 3 (&quot;Oriented&quot; Case)<br /> {{Alg| r' U' r U' r' D b2 r b2 r' D' U2 r' U' r U' r U r' U r2 /(25,21) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ===Two X-Center Piece Swap Algorithms===<br /> {{Alg| Rw U' Lw Uw2 Rw' U Rw Uw2 x Rw2 U /(13,10) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U Rw' U' Rw' F Rw2 U' Rw' U' Rw U Rw' F' /(15,14) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U Lw' U' Lw U Rw' U' Lw' U Lw Rw U' Rw' U' /(15,15) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' U' Lw U Lw' U' Rw U Lw U' Lw' Rw' U Rw U /(15,15) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==2-Gen Algorithms (WCA Notation)==<br /> *These algorithms are longer than optimal solutions, but they touch a smaller portion of the cube during execution.<br /> *The solutions listed are believed to be optimal for this intense move restriction.<br /> <br /> ===One Dedge Flip===<br /> <br /> (U,r)<br /> {{Alg| r U2 r' U2 r U2 r U r U r U2 r2 U2 r U2 r U r' U' r2 U2 /(31,22) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r U2 r' U2 r U2 r U' r U' r U2 r2 U2 r U2 r U' r' U r2 U2 /(31,22) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U r' U' r U2 r U2 r2 U2 r U' r U' r U2 r U2 r' U2 r U2 /(31,22) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U' r' U r U2 r U2 r2 U2 r U r U r U2 r U2 r' U2 r U2 /(31,22) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> (U, Rw)<br /> {{Alg| Rw U Rw' U Rw' U' Rw2 U Rw2 U2 Rw' U2 Rw U2 Rw' U2 Rw' U Rw' U' Rw U Rw' U2 Rw U2 /(34,26) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' U' Rw U' Rw U Rw2 U' Rw2 U2 Rw U2 Rw' U2 Rw U2 Rw U' Rw U Rw' U' Rw U2 Rw' U2 /(34,26) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw' U' Rw U' Rw U' Rw2 U2 Rw2 U' Rw U2 Rw' U2 Rw U2 Rw U Rw U Rw' U' Rw U2 Rw' U2 /(34,26) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U Rw' U Rw' U Rw2 U2 Rw2 U Rw' U2 Rw U2 Rw' U2 Rw' U' Rw' U' Rw U Rw' U2 Rw U2 /(34,26) |cube=4x4x4&amp;notation=WCA}}<br /> <br /> (U, Rw, r)<br /> *Although the following algorithm is not 2-gen and is one move longer than the optimal (U, Rw) solutions, it can be applied to larger cube sizes by<br /> 1) Letting Rw be the right half of the even cube and the right half + the central slice on odd cubes.<br /> <br /> 2) Applying the r' and r2 only on this slices which are to be affected.<br /> {{Alg| Rw U2 Rw U Rw U2 Rw U2 Rw' U2 Rw' U r' U' Rw U2 Rw U2 Rw' U2 Rw' U r2 U2 Rw' U2 Rw' /(37,27) |cube=4x4x4&amp;notation=WCA}}<br /> (Similar to other algorithms in this page, the (U, Rw) solutions cannot be applied to the 4x4x4, but the above algorithm can be applied to all big cubes.)<br /> <br /> <br /> <br /> *Algorithms in (U,Rw) which affect just the last layer or two intersecting layers can be found at http://apelgam.se/Rubik/4x4parity/<br /> <br /> <br /> ==Links==<br /> *For more on this topic, see http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21273 VOP method 2012-06-08T19:23:53Z <p>ThomasJE: /* PLFC Algorithms */ Added PLFC to the header</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> PLFC, the 3rd step, can be recognised by the FLU, FUR, RFU and RUB stickers. All you need to make sure of is that on the D face, the odd colour is on the DFR sticker, and on the U face, the odd sticker is at the ULB position.<br /> <br /> [[File:PLFC cases.jpg]]<br /> <br /> ==PLFC Algorithms==<br /> <br /> ===OA:===<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> ===AO:===<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> ===AS:===<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> ===SA:===<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> ===OO:===<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> ===SS:===<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> Many of the algorithms were generated [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here].<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21272 VOP method 2012-06-08T19:23:04Z <p>ThomasJE: /* The six cases of PLFC */</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> PLFC, the 3rd step, can be recognised by the FLU, FUR, RFU and RUB stickers. All you need to make sure of is that on the D face, the odd colour is on the DFR sticker, and on the U face, the odd sticker is at the ULB position.<br /> <br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> ===OA:===<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> ===AO:===<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> ===AS:===<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> ===SA:===<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> ===OO:===<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> ===SS:===<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> Many of the algorithms were generated [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here].<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21271 VOP method 2012-06-08T19:22:35Z <p>ThomasJE: /* The six cases of PLFC */</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> PLFC, the 3rd step, can be recognised by the FLU, FUR, RFU and RUB stickers. All you need to make sure of is that on the D face, the odd colour is on the DFR sticker, and on the U face, the odd sticker is at the ULB position.<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> ===OA:===<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> ===AO:===<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> ===AS:===<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> ===SA:===<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> ===OO:===<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> ===SS:===<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> Many of the algorithms were generated [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here].<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21270 VOP method 2012-06-08T19:18:47Z <p>ThomasJE: /* Algorithms */</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> ===OA:===<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> ===AO:===<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> ===AS:===<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> ===SA:===<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> ===OO:===<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> ===SS:===<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> Many of the algorithms were generated [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here].<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21269 VOP method 2012-06-08T19:17:29Z <p>ThomasJE: /* Algorithms */</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> ===OA:===<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> ===AO:===<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> ===AS:===<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> ===SA:===<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> ===OO:===<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> ===SS:===<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> <br /> Many algs generated from [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here].<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21268 VOP method 2012-06-08T19:16:10Z <p>ThomasJE: Cleaned up the page</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> '''OA:'''&lt;br /&gt;<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> '''AO:''' &lt;br /&gt;<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> '''AS:''' &lt;br /&gt;<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> '''SA:''' &lt;br /&gt;<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> '''OO:''' &lt;br /&gt;<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> '''SS:''' &lt;br /&gt;<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> <br /> Many algs generated from [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here].<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21267 VOP method 2012-06-08T19:06:18Z <p>ThomasJE: /* Algorithms */</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> '''OA:'''&lt;br /&gt;<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> '''AO:''' &lt;br /&gt;<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> '''AS:''' &lt;br /&gt;<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> '''SA:''' &lt;br /&gt;<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> '''OO:''' &lt;br /&gt;<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> '''SS:''' &lt;br /&gt;<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> <br /> New algs (generated from [http://speedcubing.com/CubeSolver/MiniCubeSolver.html here]):<br /> '''OA:'''<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> <br /> '''AO:'''<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> <br /> '''AS:'''<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> <br /> '''SA:'''<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> <br /> '''OO:'''<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> <br /> '''SS:'''<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21266 VOP method 2012-06-08T19:03:20Z <p>ThomasJE: /* Algorithms */ Added a load more algs. Will clean up soon</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> '''OA:'''&lt;br /&gt;<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> '''AO:''' &lt;br /&gt;<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> '''AS:''' &lt;br /&gt;<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> '''SA:''' &lt;br /&gt;<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> '''OO:''' &lt;br /&gt;<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> '''SS:''' &lt;br /&gt;<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> <br /> New algs (generated from [here]http://speedcubing.com/CubeSolver/MiniCubeSolver.html]):<br /> '''OA:'''<br /> {{Alg| U F2 U R2 F2 U2 |cube=2x2x2}}<br /> {{Alg| U F2 U' F2 U2 R2 F2 |cube=2x2x2}}<br /> {{Alg| U F2 U' R2 F2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U R2 U2 R2 |cube=2x2x2}}<br /> {{Alg| U R2 F2 U' R2 U2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U' R2 U' R2 |cube=2x2x2}}<br /> <br /> '''AO:'''<br /> {{Alg| U' F2 R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| U' F2 R2 U' F2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U F2 R2 U2 F2 |cube=2x2x2}}<br /> {{Alg| U' R2 U R2 U2 F2 R2 |cube=2x2x2}}<br /> {{Alg| U' R2 U' F2 R2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' R2 U2 R2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| y' U2 R2 U' R2 U R2 |cube=2x2x2}}<br /> <br /> '''AS:'''<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' F2 U' R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 U F2 U' R2 F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 U R2 F2 U R2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R' U' R F2 R' U R |cube=2x2x2}}<br /> {{Alg| U2 F2 U' F2 U R2 F2 U' |cube=2x2x2}}<br /> {{Alg| U2 F2 U' R2 F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| U2 R2 F2 U R2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 F2 U' R2 U R2 U R2 |cube=2x2x2}}<br /> <br /> '''SA:'''<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U F2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U' F2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 R2 U F2 U |cube=2x2x2}}<br /> {{Alg| U2 R2 U R2 U' F2 R2 U |cube=2x2x2}}<br /> {{Alg| R2 F U F' R2 F U' F' |cube=2x2x2}}<br /> {{Alg| R2 U' F2 R2 U' F2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U F2 R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' R2 U R2 U F2 R2 |cube=2x2x2}}<br /> <br /> '''OO:'''<br /> {{Alg| F R F' U R2 U' F R' F' |cube=2x2x2}}<br /> {{Alg| F R2 U F' R2 F U' R2 F' |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R' F2 U' R F2 R' U F2 R |cube=2x2x2}}<br /> {{Alg| F2 U R2 U R2 U' R2 U' F2 |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U' F2 U F2 U R2 |cube=2x2x2}}<br /> <br /> '''SS:'''<br /> {{Alg| F2 U' F2 U R2 U F2 U2 |cube=2x2x2}}<br /> {{Alg| F2 U2 F2 U' R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 R' U F U2 F' R' F |cube=2x2x2}}<br /> {{Alg| U2 F2 U R2 U' R2 U |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U F2 R2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 F2 R2 U R2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U F2 U2 F2 U' F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| U2 R2 U' R2 F2 U' F2 R2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' F2 U' R2 U' |cube=2x2x2}}<br /> {{Alg| R2 U2 R2 U F2 U F2 |cube=2x2x2}}<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21265 VOP method 2012-06-08T18:44:29Z <p>ThomasJE: /* Algorithms */ Fixed the alg.garron template</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> '''OA:'''&lt;br /&gt;<br /> {{Alg| U2 R2 U R2 U' R2 |cube=2x2x2}}<br /> '''AO:''' &lt;br /&gt;<br /> {{Alg| U2 F2 U' F2 U F2 |cube=2x2x2}}<br /> '''AS:''' &lt;br /&gt;<br /> {{Alg| U R2 U' F2 U R2 U' F2 |cube=2x2x2}}<br /> '''SA:''' &lt;br /&gt;<br /> {{Alg| U' F2 U R2 U' F2 U R2 |cube=2x2x2}}<br /> '''OO:''' &lt;br /&gt;<br /> {{Alg| R2 D L2 U L2 U' L2 D' R2 |cube=2x2x2}}<br /> {{Alg| R' F' R U' F2 U R' F R |cube=2x2x2}}<br /> {{Alg| R2 U' F2 U2 R2 U' R2 U' F2 |cube=2x2x2}}<br /> '''SS:''' &lt;br /&gt;<br /> {{Alg| U2 R2 U' F2 U F2 |cube=2x2x2}}<br /> {{Alg| R2 U R2 U' R2 D R2 U' R2 U R2 |cube=2x2x2}}<br /> {{Alg| R U R' F2 R F' R U R2 F2 |cube=2x2x2}}<br /> {{Alg| F2 R2 U' R' F R' F2 R U' R' |cube=2x2x2}}<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21263 VOP method 2012-06-08T16:52:00Z <p>ThomasJE: /* Algorithms */</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> '''OA:'''&lt;br /&gt;<br /> {{Alg | U2 R2 U R2 U' R2 }}<br /> '''AO:''' &lt;br /&gt;<br /> {{Alg | U2 F2 U' F2 U F2 }}<br /> '''AS:''' &lt;br /&gt;<br /> {{Alg | U R2 U' F2 U R2 U' F2 }}<br /> '''SA:''' &lt;br /&gt;<br /> {{Alg | U' F2 U R2 U' F2 U R2 }}<br /> '''OO:''' &lt;br /&gt;<br /> {{Alg | R2 D L2 U L2 U' L2 D' R2 }}<br /> {{Alg | R' F' R U' F2 U R' F R }}<br /> {{Alg | R2 U' F2 U2 R2 U' R2 U' F2 }}<br /> '''SS:''' &lt;br /&gt;<br /> {{Alg | U2 R2 U' F2 U F2 }}<br /> {{Alg | R2 U R2 U' R2 D R2 U' R2 U R2 }}<br /> {{Alg | R U R' F2 R F' R U R2 F2 }}<br /> {{Alg | F2 R2 U' R' F R' F2 R U' R' }}<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=VOP_method&diff=21262 VOP method 2012-06-08T16:35:11Z <p>ThomasJE: Fixed the alg.garron template</p> <hr /> <div>{{Method Infobox<br /> |name=VOP<br /> |image=Ss_method.gif<br /> |proposers=[[Kenneth Gustavsson]]<br /> |year=2010<br /> |anames=LFC<br /> |variants=[[Guimond Method]]<br /> |steps=3<br /> |algs=24<br /> |moves= ~18<br /> |purpose=&lt;sup&gt;&lt;/sup&gt;<br /> * [[Speedsolving]]<br /> }}<br /> '''VOP''' is a experimental three step method for the [[2x2x2 cube]]:<br /> <br /> :'''V''': Make a fully solved V in the first layer of three pieces (intuitive)<br /> :'''O''': OLFC, orient last five corners (Guimond orientation, 16 cases)<br /> :'''P''': PLFC, permute last five corners (separation and permutation, 6+2 cases)<br /> <br /> The +2 cases for PLFC are the two permutations of the last layer (J and N) that occure if the last corner of FL skips to place.<br /> <br /> In comparsion to already exisisting methods like the [[Guimond Method]] and the [[Ortega Method]] VOP has no direct advantages (or disadvantages) as a stand alone method, it is one who already uses Guimond and is looking for a good add on to use when the right scramble comes up who has the greatest benefit of learning VOP (then you only need the six cases for PLFC, the rest is already in Guimond, maybe that you have to change a couple of OLL's that else destroys the V).<br /> <br /> <br /> ==The six cases of PLFC==<br /> [[File:PLFC cases.jpg]]<br /> <br /> ==Algorithms==<br /> <br /> '''OA:'''&lt;br /&gt;<br /> {{Alg | U2 R2 U R2 U' R2 }}<br /> '''AO:''' &lt;br /&gt;<br /> {{Alg | U2 F2 U' F2 U F2 }}<br /> '''AS:''' &lt;br /&gt;<br /> {{Alg | U R2 U' F2 U R2 U' F2 }}<br /> '''SA:''' &lt;br /&gt;<br /> {{Alg | U' F2 U R2 U' F2 U R2 }}<br /> '''OO:''' &lt;br /&gt;<br /> {{Alg | R2 D L2 U L2 U' L2 D' R2 }}<br /> {{Alg | R' F' R U' F2 U R' F R }}<br /> {{Alg | R2 U' F2 U2 R2 U' R2 U' F2 }}<br /> '''SS:''' &lt;br /&gt;<br /> {{Alg | R2 U R2 U' R2 D R2 U' R2 U R2 }}<br /> {{Alg | R U R' F2 R F' R U R2 F2 }}<br /> {{Alg | F2 R2 U' R' F R' F2 R U' R' }}<br /> <br /> ==OVP==<br /> Another way to do this is to do the orientation first and then solve the V, this is probably even more effective. If you are advanced you can look for how to force the V to one of the sides during orientetion already in inspection with great success many times, then add the permutation and you have a nice 2-look...<br /> <br /> <br /> [[Category:2x2x2 methods]]<br /> [[Category:Experimental methods]]</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21238 4x4x4 parity algorithms 2012-06-05T11:32:44Z <p>ThomasJE: /* Impure Edge Flips (SiGN notation) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Impure Edge Flips (SiGN notation)===<br /> * If you used WCA notation, these impure edge flips will become pure edge flips.<br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> <br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 (x) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21237 4x4x4 parity algorithms 2012-06-05T11:30:11Z <p>ThomasJE: /* Impure Edge Flips (For Reduction) (SiGN) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Impure Edge Flips (SiGN notation)===<br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> <br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 (x) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21236 4x4x4 parity algorithms 2012-06-05T11:18:08Z <p>ThomasJE: /* OLL Parity (WCA notation) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Impure Edge Flips (For Reduction) (SiGN)===<br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 (x) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21235 4x4x4 parity algorithms 2012-06-05T11:17:18Z <p>ThomasJE: /* Impure Edge Flips (For Reduction) (SiGN) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 (x) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r' |cube=4x4x4}}<br /> {{Alg| r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2 |cube=4x4x4}}<br /> {{Alg| r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |cube=4x4x4}}<br /> {{Alg| l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2 |cube=4x4x4}}<br /> {{Alg| r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r |cube=4x4x4}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4}}<br /> {{Alg| r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r' |cube=4x4x4}}<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21234 4x4x4 parity algorithms 2012-06-05T11:05:11Z <p>ThomasJE: /* OLL Parity (WCA notation) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 (x) |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21233 4x4x4 parity algorithms 2012-06-05T10:59:49Z <p>ThomasJE: /* OLL Parity (WCA notation) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' (x) |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21232 4x4x4 parity algorithms 2012-06-05T10:56:13Z <p>ThomasJE: </p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ===Pure edge flips:===<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ===Algorithms that solve OLL and PLL parity simultaneously:===<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21231 4x4x4 parity algorithms 2012-06-05T10:52:04Z <p>ThomasJE: /* PLL Parity */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ''Pure edge flips:''<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ''Algorithms that solve OLL and PLL parity simultaneously:''<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity (WCA Notation)==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21228 4x4x4 parity algorithms 2012-06-05T07:15:06Z <p>ThomasJE: /* OLL Parity (WCA notation) */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ''Pure edge flips:''<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4}}<br /> ''Algorithms that solve OLL and PLL parity simultaneously:''<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21227 4x4x4 parity algorithms 2012-06-05T07:13:57Z <p>ThomasJE: /* OLL Parity */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity (WCA notation)==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ''Pure edge flips:''<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' // (SiGN) |cube=4x4x4&amp;notation=WCA}}<br /> ''Algorithms that solve OLL and PLL parity simultaneously:''<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==PLL Parity==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE https://www.speedsolving.com/wiki/index.php?title=4x4x4_parity_algorithms&diff=21226 4x4x4 parity algorithms 2012-06-05T06:57:33Z <p>ThomasJE: /* OLL Parity */</p> <hr /> <div>'''Parity''' (also known as '''Orientation Parity''' and '''Permutation Parity''') on the [[4x4x4]] is a common situation (occurring in 3/4 of all solves) where two or four [[edge piece]]s need to be cycled. This is considered difficult because in most methods the centers are solved before the edges, and there is no efficient or intuitive way to swap those edges (and no others) without affecting the centers. Because of how common and difficult this case is, many algorithms have been developed. This page attempts to list all efficient algorithms.<br /> <br /> NOTE: Alg template (and alg.garron itself) are completely useless for 4x4x4 so I'll just paste algs here.<br /> <br /> ALSO: This really needs editing! I just dumped a lot of algorithms here but this could look pretty nice once someone goes over it.<br /> <br /> MORE ALSO: Once the lists are made prettier, feel free to give them HTM/BTM counts and names/authors (e.g. lucasparity, cmowlaparity, etc).<br /> <br /> A more comprehensive list of ELL algs for the 4x4x4 cube can be found here: [http://snk.digibase.ca/k4/7.htm Kirjava's K4 ELL page]<br /> <br /> ----<br /> <br /> ==OLL Parity==<br /> {{Alg| Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' |cube=4x4x4&amp;notation=WCA}}<br /> ''Pure edge flips:''<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> ''Algorithms that solve OLL and PLL parity simultaneously:''<br /> {{Alg| Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' |cube=4x4x4}}<br /> <br /> ==PLL Parity==<br /> {{Alg| Uw2 Rw2 U2 (Rw2 R2') U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Uw2 Rw2 U2 r2 U2 Rw2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 u2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| r2 U2 r2 Uw2 r2 Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| (Rw2 R2') U2 (Rw2 R2') Uw2 (Rw2 R2') Uw2 |cube=4x4x4&amp;notation=WCA}}<br /> {{Alg| Rw2 B2 U2 r2 U2 B2 Rw2 |cube=4x4x4&amp;notation=WCA}}<br /> <br /> ==Pure Edge Flips==<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * z d' m D l' u' 2R' u l u' l'2 b' 2R' b r' R' 2U y' m' u x2 z' (SiGN)<br /> <br /> ==Other ELL Cases==<br /> <br /> double parity<br /> * r U2 r' E2 F2 l F2 l' F2 r F2 r' D2 l <br /> * r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 B2<br /> * l2 F2 l' U2 l' U2 F2 l' F2 l F2 l' F2 l2 F2<br /> <br /> 4-cycles (Checkerboard pattern_<br /> * r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' <br /> * r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r<br /> * l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l<br /> <br /> adjacent 2-swap<br /> * r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' <br /> * l' U2 l' U2 (l' r) U2 l' U2 l U2 r' U2 l2<br /> * r U2 r U2 (r l') U2 r U2 r' U2 l U2 r2<br /> * r U2 r U2 x U2 r U2 l' x' U2 l U2 r2<br /> * l' U2 l' U2 x U2 l' U2 r x' U2 r' U2 l2<br /> <br /> opposite/diagonal 2-swap<br /> * l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r<br /> * r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l'<br /> * l' U2 l U2 l U2 r' U2 l U2 l' U2 F2 l2 F2 r<br /> * l2 B2 U2 l U2 l2 B2 l U2 l2 U2 B2 l B2<br /> * r2 B2 U2 r' U2 r2 B2 r' U2 r2 U2 B2 r' B2<br /> * r U2 r' U2 r' U2 l U2 r' U2 r U2 F2 r2 F2 l'<br /> <br /> bowtie (adj. 2-swap + Pll Parity)<br /> * F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' <br /> * F2 r2 F2 r' F2 r F2 l' U2 r' U2 l U2 r' U2 r<br /> * r U2 l' U2 r U2 r U2 r' U2 r U2 r2 U2 l r' U2 r'<br /> * r U2 r l' U2 r2 U2 r' U2 r U2 r' U2 r' U2 l U2 r'<br /> <br /> ==Impure Edge Flips (For Reduction) (SiGN)==<br /> <br /> {{Alg| r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' |cube=4x4x4}}<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 x' r' U2 r'<br /> * r U2 r' U2 r U2 r U2 l' U2 r U2 r' U2 x' U2 r2<br /> * r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2<br /> * l2 B2 l U2 l U2 x' U2 l U2 l' U2 l U2 l2 U2 x U2<br /> * r' U2 r U2 r' F2 r2 U2 r U2 r' U2 x U2 r2 U2<br /> * r' U2 r U2 r U2 r2 F2 r' U2 r' U2 F2 r2 F2<br /> * r2 U2 l' U2 r U2 r' U2 r U2 r' x' U2 r' U2 r2 F2 r<br /> * F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'<br /> * r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2<br /> * r' U2 x l U2 l' U2 x' r2 U2 r U2 r' U2 F2 r2 F2<br /> * r U2 r U2 r' U2 r U2 l' U2 r U2 r' U2 l r2 U2 r'<br /> <br /> algs that don't preserve F2L<br /> * u B' L2 B u B2 u R2 u R F2 R' u<br /> * r2 B2 r' U2 r2 B R' B U' r B2 U2 r<br /> * r B' U2 B r B2 l B2 r B D2 B' r<br /> <br /> dump of more parity algs<br /> * long list at http://www.speedsolving.com/forum/showthread.php?26564-4x4x4-edge-parity-is-there-a-shorter-alg-that-doesn-t-preserve-corners&amp;p=531938&amp;viewfull=1#post531938<br /> * Fw (lr') R B R' Uw d (lr') b' (l'r) Uw u (fb') D Lw (x' y') (WCA notation)<br /> * Rw B' u (l'r) l' F' u F r' u2 Rw (f'b) U' Rw (z' y) (WCA notation)<br /> * { Uw, u, d } (lr') R D R' Fw f (ud') l' (u'd) Fw b (u'd) F { Lw, l, r } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } R' b (ud') d' L' b L u' b2 Uw (l'r) B' { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L B' R u d f' u d L B' R (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * { Uw, u, d } (fb') L' F R' u d f' u d L' F R' (fb') { Uw, u, d } (WCA notation, choose any one from the brackets)<br /> * r B' U2 B r B2 l B2 r B D2 B' r (WCA notation)<br /> * r' U2 F U2 F' U2 r' U2 r' U2 r' F U2 F' r' (WCA notation)<br /> * r' U2 F' U2 F U2 r' U2 r' U2 r' F' U2 F r' (WCA notation)<br /> * u B L2 B' u B2 d B2 u B' R2 B u (WCA notation)<br /> * u B' L2 B u B2 d B2 u B R2 B' u (WCA notation)<br /> * u B L2 B' u B2 u R2 d B R2 B' u (WCA notation)<br /> * u B' L2 B u B2 u R2 d B' R2 B u (WCA notation)<br /> * u F2 L2 d F L' U L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L D' L u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F L' (U D') L' u2 B2 u' B2 u2 (WCA notation)<br /> * u F2 L2 d F' L (U D') L u2 B2 u' B2 u2 (WCA notation)<br /> * x' r' U F2 U' l' U2 r' U2 r' F' U2 F r'<br /> * x' r' U F2 U' l' U2 r' U2 l' U' B2 U r' x'<br /> * x' r' U F2 U' l' U2 r' 3d2 r' U' F2 U l' x<br /> * r U F2 U' l F2 2r U2 r U B2 U' r<br /> * r U' F2 U l F2 2r U2 r U' B2 U r <br /> * l' U2 F2 l' U' F R' F l2 U2 r U2 l2 U' x'<br /> * l' U2 F2 l' U' F 3l' U l2 x' U2 r U2 l2 U' x'<br /> * r U2 F2 r U' F R' F r2 U2 l' U2 r2 U' x'<br /> * r U2 F2 r U' F 3l' U r2 x' U2 l' U2 r2 U' x'<br /> * x' r2 U2 l' U2 r U2 l x U2 x' U r U' F2 U r' U r2 x<br /> * more in this topic? http://www.speedsolving.com/forum/showthread.php?22969-Methods-for-Forming-2-Cycle-Odd-Parity-Algorithms-for-Big-Cubes</div> ThomasJE