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BlindfoldCubingTutorial

Contents

IntroTipsDescriptionofdifferentmethodsStefanPochmann'sMethodTheedges

1.ShootingapiecetoUL2.ShootingapiecetoRF3.ShootingapiecetoLU4.Solvingacycle5.Breakingintoanewcycle6.Howtoflipedges7.Fastersetupmoves8.Howtomemorisetheedges

StefanPochmann'sMethodTheCornersExamplesolveIdeasforspeedingup

Intro

ThistutorialwillexplainamethodforsolvingRubik'sCubeblindfolded.Themethoddescribedinthispageisnotinventedbyme,itwasinventedbyStefanPochmann.EventhoughStefanhashisownpagethatexplainshis(old)blindfoldmethod(youcanfindithere),Ihadalotofpeopleaskingmequestionsaboutthismethod,andrequeststowritemyowntutorialforit.So,hereitis!Ihopethatthismakessense.Ifyouwanttousethistutorial,youhavealotofreadingtodo.ButIcanasureyouthatonceyoucansolvetheCubewithyoureyesclosed,youwillknowthatiswaswellworhit).

Themethoddescribedinthispageisdesignedtobeusedforwhenthetimeofmemorisation/inspection/planning+solvingcounts.Itcanbeusedforothertypesofblindfoldcubing,whereonlythesolvingtimecounts,butmostpeoplewoulduseadifferentapproachinthatcase.

Ifyouwanttousethistutorial,youshouldbeaprettyadvancedcuber,I'dsay.Youareexpectedtoknowthebasiccubinglingo,andyouareexpectedtobeabletoperformsomealgorithms(especiallyTandJpermutations)withreasonablespeedandfluency...andwithoutlooking,ofcourse!Ialsohiglyrecommendsomeknowlegdeaboutcommutators.Thismethodisnotdirectlybasedoncommutators,butsomeknowlegdeaboutcyclescouldcomeinhandyhere.

Itriedtomakethispageappletfree.Formostalgorithms,thereisalinkthatwillshowyoutheapplet.

Tips

Practiceallthealgorithmsyouwilluseblindfoldedwithyoueyescloseduntilyoucandothemwithoutthinkingexecutingthealgorithmsfluentlywithoutlookingshouldnotbeaproblem.Breakupthesolvesintostepsatfirstmemorizeafewpieces,closeyoureyesandsolvethem.Thenmoveontothenextfewpieces.Solveawholecube(oronlythecornersoredges)blindfoldedbyusingapieceofpapertowritedownthepiecesyouaregoingtosolveifyouwanttodoaseriousblindfoldsolve,usingapencilandpaperischeating.Ifyouwanttolearnblindfoldcubing,it'sausefultooltohelpyou.Doingthiswillallowyoutopracticeusingthecorrectsetupmoves.Readthistutorialwithacubeinyourhands.Trytodoalltheexamplesyourself,andlookwhatishappeningtothepieces.Thiswillslowlymakeyouunderstandhowthemethodworks.

Descriptionofdifferentmethods

Forcompleteness,Iwanttoshowyouthedifferentapproachespeopleuseforblindfoldmethods.Ingeneral,blindfoldmethodsusealgorithmsthateffectonlyfewpiecesatatime.Thiswayyoudon'thavetokeeptrackofallthepieceswhenyouexecuteanalgorithm.Therearedifferentsystemstodothisthough,andIthinkyoushouldknowaboutthem.Herearelinkstothepagesthatdescribethedifferentmethods:

RichardCarr'sBlindfoldCubingDocumentStiffHandsblindfoldcubingpageMacky'sblindfoldcubingpageStefan'sblindfoldcubingpage

Firstofall,Ishouldpointoutthatthereisadifferencebetweenmethodsformemorisingthecubestate,andmethodsforactuallysolvingthecubeblindfolded.solvingmethod.IwillalsotellyouhowImemorisethecubestate,whichiscloselyrelatedtohowIsolveit.Iwillnobrieflydescribehowotherblindfoldmethodswork.Likeinnormalcubing,therearedifferentapproaches.Innormalcubing,somepeoplestartwithacross,andsomepeopledont.Inblindfoldcubing,somepeoplestartbyorientingallthepieces,andsomepeopledon't.

IstartedblindfoldcubingusingRichardCarr'sBlindfoldcubingdocument.Richardfirstorientsallthepieces,andthenhepermutesthem.Thereisawaytodefineorientationofbothcornersandedges,evenifthepiecesarenotintheircorrectpositions(Iwillnotexplainthishere).Byfirstsolvingtheorientation,youcanforgetaboutitduringthepermutationphaseyouonlyhavetoobeysome'rules'thatwillpreservetheorientation.RichardCarrhadasomewhatcomplexwayofdealingwithpermutation:Allofthepieceswhereassignedanumber.Forexample:1=UFR,2=UFL,3=UBL,4=UBR,etc.Onascrambledcube,hewouldlookatposition1,andrememberwherethatpiecesneedstogo.Then,he'dlookatposition2,andrememberwherethatpieceneedstogo.Forthecorners,youwouldendupwith8digits,like81256734.Thepermutationofthecornersis'coded'inthose8digits.Memorisingthepermutationthiswayis,inmyopinion,notvery

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practical,becausesolvingthepermutationrequiresquitesomethinking,andmentallyupdatingwherethepiecesare.

Afterawhileofusingthismethod,Ifoundabetterwaytodealwiththepermutation.Usuallypeoplewillcallthisthe'cycle'method.Alotofcubersusethis.First,youorientallthepieces.Then,thepermutationsarememorizedinadifferentway.Youcanlookatposition1,andrememberwherethatpieceneedstogo.Let'ssaythispiecehastogotoposition5.Now,youposition2,butyouhavetolookatposition5,andseewherethatpiecehastogo.Youwillhavetorepeatthisuntilyoucomebacktoposition1.Now,youfoundastringofnumbers,forexample(1578),whichmeans:

Thepieceinposition1,hastomovetoposition5Thepieceinposition5,hastomovetoposition7Thepieceinposition7,hastomovetoposition8Thepieceinposition8,hastomovetoposition1

Afterfindingthis4cycle,thereareprobablyotherpiecesoutofplace.Youwillhavetomemorisetheminthesameway,probablystartingwith2(Unlessthatpieceissolvedalready).Noticethatwhenyoumemorizethisway,youdon'treallymemorizewhichpieceiswhere.Youarenotreallyinteresedinwhichpieceisinposition1,youonlycareaboutwherethatpieceneedstogo!Usingthiswayofmemorising,itismucheasiertosolvethepermutation.

Afterabout2yearswithoutblindfoldcubingverymuch(basicallyIonlydiditatcompetitions,andIwasveryslow),Ifoundacompletelydifferentmethod.It'saveryclevermethod.Itmightnotbethefastestmethod,butitisverysimpleandeffective...Idon'tthinkthismethodinit's'pureform'willbethefastestblindfoldmethod,butIthinkthebasicideathismethodisusingisverypromising.Ithereforethinkit'saverygoodmethodtostartwithforabeginnerinblindfoldcubing.

StefanPochmann'sMethodTheedges

Withthismethod,youwillsolveindividualstickers,ratherthanpieces!Thisistheessentialdifferencebetweenthe'traditional'methodsIdescribed,andthismethod.

Important:Inthistutorial,IwilloftentalkaboutRFandFRstickers(orother)positions,ratherthantheRFpiece.Ifthisconfusesyou:theRFstickeristhestickerontheTheFRstickeristheFstickeronthesameRFpiece.Thisiskeyforexplaininghowthemethodworks!

Thissectionscontains8subsectionsthatwillshowyouhowtosolvetheedgesblindfolded.Inblindfoldcubing,mostpeopleholdthecubeinthesameorientationeverytime.IuseyellowasUfacecolour,andorangeasaFfacecolour.Theappletswillhavethesameorientation.

1.ShootingapiecetoUL

Imagecube,clicktoseeapplet

[shoottoUL]RUR'U'R'FR2U'R'U'RUR'F'

Lookatthealgorithmintheapplet.ThepieceinURpositionhastomovetoUL.Hopefully,yourecognisethispatternasthefamousTPermutation.ItswapstheURFandURBcorners,anditswapstheULandURedges.Inthiscontextthough,I'dliketodescribethisalgorithmsas'shootingapiecetoUL'.ThismeansthestickeratURismovedtoULandthestickeratRUismovedtoLU.Thealgorithmsalsoswapstwocorners,butsincewearedealingwiththeedgeshere,wewillignorethecornersfornow.ThepieceatULwillendupinUR.yellowblueedge,wecallthe'buffer'piece.TheURpositioniscalledthe'bufferposition'.Weusethispositionto'shoot'fromeverytimewesolveanedge.Iknowthissoundscryptical,butjustkeeponreading,you'llgettheidea.)

2.ShootingapiecetoRF


Hereisanotherapplet.Thepieceintthebufferpositionisblueorange.Wewantto'shoot'thispiecetoRFRFisthe'target'.InthissituationtheURFandURBcornersneedtobeswappedalso.SincethispatternhastheexactsamecycletypeastheTPermutation(itinvolvesswappingtwocornersandtwoedges),wecanusetheTPermutationdosolvethis.Thethingis,wehavetofindsomesetupmovestobringtheinvolvedpiecesinthecorrectpositions.Inordertodothat,wehavetomovethepiececurrentlyintheRFpositiontoUL(theotherpiecesarealreadyinplace)inotherwords,wehavetosetupthetargetatUL.

Now,noticethattherearetwowaystobringtheRFedgepiecetoUL.Wecandoeitherd'L'ord2L.However,whenwedod2L,ourtargetwillendupatLU.Sothecorrectwaytostartisd'L',sincethiswillbringthetargettoUL.Thealgorithmthusbecomes:d'L'RUR'U'R'FR2U'R'U'RUR'F'Ld.Thelasttwomovesundothesetupmoves.

Anotherwayofthinkingaboutthisis:NoticethattheURstickerisblue(whereastheRUstickerisorange).ThisblueURstickerhastoendupatRF,wherewecurrentlyseeayellowsticker.Therefore,wehavetobringthecurrentRFstickertoUL,sowecanswapitwiththeRUsticker.

Noticewhatwouldhavehappenedifwestartedwithd2L:


d2LRUR'U'R'FR2U'R'U'RUR'F'Ld2.

Yousee?!TheURstickerandtheFRstickerareswapped,makingthebluestickerendupintheorangeface!Thepieceendsupinthecorrectposition,butinthewrongorientation.



3.ShootingapiecetoLU

Lookattheappletbelow:


Whatdoweneed todohere?Wewant to shoot theURsticker toLU.Again, as in theprevious example, this pattern involves swapping twocorners and twoedges, sowecanuse theTPermutationagain.ThecurrectURstickerisgreen,andwewanttoswapitwiththecurrentLUsticker.LUisthe'target'.TosolvethisusingtheTPermutation,wehavetofindsetupmoves,tobringthetargettoUL.That'sfairlyeasy:Ld'L.SotoshoottoLU,thealgorithmis:

[shoottoLU]Ld'LRUR'U'R'FR2U'R'U'RUR'F'L'dL'.

ComparethiswithshootingtoULinthefirstexample.Ihopeitslowlybecomesclearhowthismethoddealswith 'orientation'issues.Basically,inthisexample,weswappedtheURandLUstickers,whereasinthefirstexample,weswappedURwithUL.

4.Solvingacycle

Sofar,Ionlyexplainedhowtosolveindivudualstickers/pieces,withoutinvolvinganymemorization.Now,let'slookatamoredifficultexample.Takeasolvedcube,anddoRUB'D2.Yourcubeshouldlooklikethisnow:


Theideaaboutsolvingacycleisthatweshootthepieceinthebufferpositiontoit'scorrectpositioneverytime.Thiswillthenbringanewpieceinthebufferposition.Thenwesolvethenewpiecebyshootingittoit'scorrectposition.Repeatingthisprocesswilleventuallysolvethecycleofpieces.

Inthisexample,5edgepiecesneedtobecycled.Imaginewewanttosolvethis5cycleofpiecesblindfolded.Wearegoingtomemorizethecyclehere,justlikeonewoulddowiththe'traditional'cyclemethods,butherewememorisethecycleofstickers.

Westartourmemorisationatthebufferposition,theURsticker.It'syellow,soourfirsttargetissomewhereontheUface.WecanspecifywherethetargetisbylookingatthesecondcoloroftheURpiece,theRUsticker.It'sgreen,whichcorrespondstotheLface.SoourourfirsttargetisUL.

Nowwewanttofigureoutwhatoursecondtargetwillbe,withoutactuallysolvingthefirsttarget(wewanttomemorisethewholecyclebeforesolvingitblindfolded).AfterswappingULwithUR,wecanseethatthenewstickeratURwillbegreen.Therefore,oursecondtargetwillbesomewhereontheLface.WecanalsoseethatthenewstickeratRUwillbered,whichcorrespondstotheBface.SoouroursecondtargetisLB.

Thislookslikeyouhavetodoquitesomethinkingduringmemorization,butreally,it'snotthathard.ThewayIdescribefindingthenexttargethereisprettylong.Inreality,whenImemorise,thethaughtprocesslooksalotmorelikethis:

TheURstickerhastogotoULTheULstickerhastogotoLBTheLBstickerhastogotoDFTheDFstickerhastogotoFRTheFRstickeristhebufferpiece,ithastogotoUR,butwecan'ignore'it.

Wecanevenwritethisdownshorter:ULLBDFFR.ThismeansthatwewanttoshoottoUL,LB,DFanFRinthatorder.(Youdon'twanttomemorizethisliterlyasbetterwaystomemorize.I'lltellyoumoreaboutthislater).Tosolve,westartbyshootingtheURpiecetoUL.Thiswillbringanewpieceinthebufferposition.ThenewpiecehastogotoLB.Tosolve,weshootthenewpiecetoLB.Thiswillbringanewpieceinthebufferposition.ThenewpiecehastogotoDF...Ifwegoonlikethis,oursolutionwilllooklikethis:


[shoottoUL] RUR'U'R'FR2U'R'U'RUR'F'


[shoottoLB] dL'RUR'U'R'FR2U'R'U'RUR'F'Ld'


[shoottoDF] D'L2RUR'U'R'FR2U'R'U'RUR'F'L2D


[shoottoFR] d2LRUR'U'R'FR2U'R'U'RUR'F'L'd2

Thisappletshowsthewholesolution

Ihopethisexampleillustrateshowyoucansolveacycleofpieces.Ithinkit'sverysimilartothecyclemethodswhereyouorientthepiecesfirst,onlywiththismethod,youmemorizeandsolvethecyclesofstickers.OncetheULstickerissolved,theLUstickerisautomaticallysolvedtoo,andsoistheorientationoftheULpiece.



5.Breakingintoanewcycle

Ifyouunderstandthepreviousexample,youwillalsounderstandhowthisworkswhenyouhaveatwelvecycleofedgepieces.However,sometimes,youhavemorethan1cycletosolve.Insuchacase,youwillsolvethefirstcycle,andendupwiththebufferpieceinthebufferposition.Foranexample,doR2URD'UF'U'F'DU'R'onasolvedcube.Yourcubeshouldlooklike


TheURstickerhastogotoUB.Then..What?AftershootingtoUB,thebufferisinpositionagain!(it'sflipped,butwe'ignore'thatnow)Whatwedonowis:Shootthebuffertoanystickerthatisnotsolvedyet.Inthiscase,wehave4options.WecanproceedwithLF,FL,DRorRD.IwouldproceedbyshootingatFL,becauseweonlyneedonesetupmoveforit.So,wetemporarely'store'thebufferinFL,byshootingtoFL.Afterthat,wecanseethattheFLstickerhastomovetoRD.Then,theRDstickerhastomovetoLF.Ourmemorizationcouldlooklikethis:UBLFRDFL.Thesolvingprocesswouldbe:


[shoottoUB] R2U'R2RUR'U'R'FR2U'R'U'RUR'F'R2UR2


[shoottoFL] L'RUR'U'R'FR2U'R'U'RUR'F'L


[shoottoRD] D'FL'F'RUR'U'R'FR2U'R'U'RUR'F'FLF'D


[shoottoLF] d'LRUR'U'R'FR2U'R'U'RUR'F'L'd

Thisappletshowsthewholesolution

ShootingtoFLwillmakethebufferpieceendupinthebufferpositionagain.NoticehowthecyclewebrokeintostartsatFLandendsatLF.Breakingintosuchacycleandsolvingitwillflipthebufferpiece,aswasdesiredin thiscase.If thecyclewouldhavestartedandendedatFL,breaking into thecycleandsolving itwouldnot flip thebufferpiece.Also,examplerequired4setupmoves.Thisispainfulindeed,butasolutionforthisisprovidedlaterinthedocument.

6.Howtoflipedges

Sometimes,whenyousolvedallthecycles,youwillendupwith2flipped(oranevennumberofedges).Lookattheexampleinthebelow:


Ifyouhavemadeitthisfar,Iassumeyoualreadyknowagoodwayofusingsetupmovesandanalgorithmtofliptwoedges.However,youcanalsouseStefanPochmann's'puremethod',andlookatthisproblemasa2cycleofstickers.ThecyclestartsatUL.TheULstickerhastomovetoLU.Thus,solvingthiswouldbe:

[shoottoUL]RUR'U'R'FR2U'R'U'RUR'F'[shoottoLU]Ld'LRUR'U'R'FR2U'R'U'RUR'F'L'dL'.

Therearemoreefficientwaystoflipanedge,butthisdemonstratesthatyoucanseethisasa'2cycleofstickers'ratherthana'flippededge'.Inordertofliptwoedges,onecanalsouseM'UM'U2M'UM'UM'UM',incombinationwithsomesetupmoves.Youcanalsousedifferentalgorithms,possiblyacommutator.

7.Fastersetupmoves

Sofar,weonlyusedtheTPermutationtosolveedges.ToshoottoUB,Iusedthreesetupmoves,aTPermutation,andthreemoremovestoundothesetupmoves.However,wecanalsousedifferentalgorithms.Plus,wecanusetheseotheralgorithmsincombinationwithsetupmoves.Thiswillmakethesetupmovesaloteasier:Alltargetscanbesolvedwith2setupmovesatmost!ThealgorithmsthatIusearelistedbelow.Youdon'thavetomemorizethetablewiththesetupmoves!Ifyouunderstandhowitworks,youcanmakeupthesetupmovesonthefly.

Name Shootsto AlgorithmT1 [shoottoUL] RUR'U'R'FR2U'R'U'RUR'F'T2 [shoottoLU] x'R2U'R'UxR'F'U'FRUR'U'J1 [shoottoUF] RUR'F'RUR'U'R'FR2U'R'U'J2 [shoottoUB] R'U2RUR'U2LU'RUL'

Hereisatable,thatshowsyouhowtoshoottoeveryposition:

Shootto Setupmoves Algorithm Undosetupmoves



[shoottoUF] J1 [shoottoUL] T1 [shoottoUB] J2 [shoottoFU] l' J2 l[shoottoLU] T2 [shoottoBU] l J1 l'[shoottoFR] d2L T1 L'd2[shoottoFL] L' T1 L[shoottoLF] L' T2 L[shoottoLB] L T2 L'[shoottoBL] L T1 L'[shoottoBR] d2L' T1 Ld2[shoottoRB] dL T1 L'd'[shoottoRF] d'L' T1 Ld[shoottoFD] l' J1 l[shoottoLD] L2 T2 L2[shoottoBD] l J2 l'[shoottoRD] D'l' J1 lD[shoottoDF] l2 J2 l2[shoottoDL] L2 T1 L2[shoottoDB] l2 J1 l2[shoottoDR] S' T1 S

8.Howtomemorisetheedges

Itoldyouthispagereallydescribesthesolvingproces,buttogiveyouanideahowtomemorisetheedges,I'lltellyouwhatIdo.Whenmemorising,youbasicallymakealistof'targets'toshootto,inaveryspecificorder.Thereare22possibletargets.Iassociateeverytargetwithauniqueletter.WhenIstartmemorising,IlookattheURposition,andIautomaticallyconvertitintoaletter.IntheexamplewhereIsolvedacycle,thelistoftargetswas:ULLBDFFR.IfIwouldhavethatinarealblindfoldsolve,Iwouldconvertthis,usingmyownsystem,toUROE.Inordertorememberthis,Iwouldtrytomakewordsoftheseletters,orsimplyrepeatthelettersandlistentohowthatsounds.

Therearealotofwaystoassociateandmemorisethislistoftargets,though.Somepeopleassociatethetargetswithnumbers,othersassociatewithobjectstomakestories.Lookontheinternetfordifferentwaysofmemorising.Ifyouneedmoreinspiration,I'llgiveyoutheselinksforfree:link,link.

StefanPochmann'sMethodTheCorners

Ifyouunderstandhowtosolvetheedges,explaningtoyouhowthecornersaresolvedisapieceofcake.ThepositionIshootfromistheLBUposition.IshootittoDFR,withonealgorithm.Ithasonesideeffect,itswapsULandUBedges.SomeofyouwillrecognisethisasaYPermutationwithouttheFandF'atthebeginningandtheend:


[shootingtoDFR]RU'R'U'RUR'F'RUR'U'R'FR

Usingthisalgorithm,wecanshoottootherpositions.Thetablebelowwillshowyouhowtodothat.Ofcourse,betweenthe'setupmoves'and'undosetupmoves',dothealgorithmlistedabove).Thesameideasthatyoulearnedaboutsolvingtheedgesapply.LookatLBU,andseewherethatstickerittogo.Goonlikethat,andcreatealistoftargets(usuallyabout7,8or9ofthem).Sometimes,whenthebufferpiececomesintheLBUposition,youmighthavetobreakintoanewcycle,justlikeIshowedyouwhenIexplanedsolvingtheedges.

Whenyouendupwith2ormorecornersinposition,buttwisted,youcanuseStefan'spuremethodtosolvethat.(Forexample,tryshootingtoURFandthenshootingtoRFU).But,therearealsomoreefficientwaystotwistcorners,forexample:

R'U'RU'R'U2RzURU'RUR2U'z'RUR'URU2(RU2'R'U'RU'R')U2R'U2Or,youcanuseacommutatortwattwistscorners.

Shootto Setupmoves Undosetupmoves[shoottoURF] R2D' DR2[shoottoRFU] F F'[shoottoFUR] R' R[shoottoUFL] F2 F2[shoottoFLU] FR' RF'[shoottoLUF] F'D D'F[shoottoUBR] R2 R2[shoottoBRU] RD' DR'



[shoottoRUB] R'F F'R[shoottoDFR] [shoottoFRD] F'R' RF[shoottoRDF] RF F'R'[shoottoDLF] D D'[shoottoLFD] F' F[shoottoFDL] F2R' RF2[shoottoDBL] D2 D2[shoottoBLD] DF' FD'[shoottoLDB] D'R R'D[shoottoDRB] D' D[shoottoRBD] R2F F'R2[shoottoBDR] R R'

Examplesolve

Ithinkyouarereadytowatchafullexamplesolve.Thisexamplewillshowyouwhattodoincaseofparity.Thesocalled'parityproblem'occorswhenyouneedtoshoottoanoddamountoftargetstosolvethecorners.Iwillnotexplainthememorizationprocesinfulldetail.Iwillonlyshowyouthelistoftargets.Idon'tstartthislistwiththebufferpiece,sincethisisnotatarget.Thissolvealsodemonstratesbreakingintoanewcyclethreetimes.Foranyonestillhavingdifficulties,Irecommendfollowingthisexamplestepbystep,withacubeinhand.Dothescramble,andfollowallong.IreplacedtheactualalgorithmsbyT1,T2,J1,J2and'Corneralgorithm',becausewritingdownallthemoveslooksuglyhere.


Scramble:LBU'R2F'R'L2B2L2D'U2F'BL'D'L'R'FUB'DU2B2U2FTargetlistcorners:BDRDFRDBLURFFDLRUBRDFUFLLUFTargetlistedges:BLULUFUBLDUBFLRFDFRDRBBDLF

Shootto Algorithm Comments[shoottoBDR] RCorneralgorithmR' Thisbringsbufferinposition![shoottoDFR] Corneralgorithm Webreakintoanewcyclehere.IchoseDFR,becausethatdoesnotrequireextrasetupmoves.[shoottoDBL] D2CorneralgorithmD2 [shoottoURF] R2D'CorneralgorithmDR2 [shoottoFDL] F2R'CorneralgorithmRF2 [shoottoRUB] R'FCorneralgorithmF'R [shoottoRDF] RFCorneralgorithmF'R' [shoottoUFL] F2CorneralgorithmF2 UsingStefan'spuremethodtotwisttheUFLcornercounterclockwise:Step1/2[shoottoLUF] F'DCorneralgorithmD'F UsingStefan'spuremethodtotwisttheUFLcornercounterclockwise:Step2/2[fixparity] U2x'R'U'F'UR'U'x

UR'U'R'URBR2U2WeswappedtheUBandULedgesandoddnumberoftimesinordertosolvethecorners.Theedgesarenotinthepositionswememorised.Tobringthemback,weswapUBandULwiththeURFandUBRcorners.

[shoottoBL] LT1L' [shoottoUL] T1 [shoottoUF] J1 Thisbringsbufferinposition![shoottoUB] J2 Webreakintoanewcyclehere.ChoosingforUBisratherarbitrary.[shoottoLD] L2T2L2 [shoottoUB] J2 Thisbringsbufferinposition![shoottoFL] L'T1L Webreakintoanewcyclehere.ChoosingforFLisratherarbitrary.[shoottoRF] d'L'T1Ld [shoottoDF] l2J2l2 [shoottoRD] D'l'J1lD [shoottoRB] dLT1L'd' [shoottoBD] lJ2l' [shoottoFL] L'T1L BecauseweswappedtheURFandUBRcornersanoddnumberoftimestosolvetheedges,these

cornersareautomaticallysolvednow.

Ideasforspeedingup

Isavedthebestpartforlast.Ifyoureadtheexamplesolve,youprobablynoticedthatthismethodusesquitealotofmoves.Therearewaystospeedupthismethod,cuttingdownthenumberofmoves.Intheexamplesolve,Iencounteredasituationthatwassimilartothis(seeappletA):



Imagecube,clicktoseeapplet Imagecube,clicktoseeapplet Imagecube,clicktoseeappletA B

Intheexample,thiswasdonewithaTPermutationtoshoottoUL,andaJPemutationtoshoottoUF.Mostofyouwillseethatthisisratherstupid.WemightaswelluseU'R2instead(seeAppletB).Thissolvestwotargets,ULandUF,inonealgorithm.Now,supposewewantto[ShoottoUL][ShoottoRD].Wecanusethesametrickhere,weonlyneedtosetupthesecondtargetatUF,bydoingD'M'(seeappletC).

Infact,shootingtoarandomcombinationoftwotargets(nottargetsonthesamepiece)alwaysresultsinsome3cycleofedges.Ifyoulearnafew'basic'algorithmsforeasythreecycles,youcanoftenusethesealgorithmsincombinationwithsetupmoves,tosolvetwotargetsatonce!Inthetablebelow,youwillfindafewofthese3cyclesIfindveryusefullforthis.It'snotnessecarrybringthepiecesinvolvedinthethreecyclesinthesamelayer.Thislistisnotcomplete...Itgoesonandon.Youcanreallyuseanythreecycleofedgesthatyoulike.Goodluckwithfindingthem).

(setup)firsttargetat (setup)secondtargetat AlgorithmUL UF RU'RURURU'R'U'R2UL BU M'UMU2M'UMFD LD M'UMDM'U'MD'DR DF yM'U2MDM'U2MD'y'FL BR L'U2LE2L'U2LE2FR UB R'U'R'U'R'URURU

So..Whatdoyouthink?

Itwasprettyhardtowriteatutorialaboutthismethodandtoexplainitclearly.Soifyouusedthistutorial,pleaseleaveamessage,totellmewhatyouthinkaboutit.Commentsusuallyleadtoadjustments.Pleasehelpmetoimprovethequalityofthesetutorials!

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