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Math Puts a New Twist on Solving a Rubik's Cube with the Fewest Moves

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For this puzzle with over 43 quintillion permutations, author Ian Scheffler explains how players have found the most efficient route to resolving a Rubik’s cube.

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Rubik's Rubik's cube speed solving cubing Ian Scheffler Competitive Rubik's cube Permutations math analytical scientific measurable numerical algebraic division addition calculus geometry algebra figures numbers decrease reduction algorithmic arithmetical computative geometrical math trigonometric calculation multiplication subtraction trigonometry mathematical mathematics Math maths set focus bring place lay stick plant peg plop plunk fix park embed seat nail rest plank rivet refuse detach remove leave take forget move change offer give submit turn vent pose word render prefer couch state utter posit phrase tender air hide fight halt stop make force levy doom let go free broadcast circulate communicate declare disclose display disseminate divulge exhibit expose make known make public proclaim publicize publish put reveal speak tell ventilate voice allocate allot appoint assign associate connect consign designate detail earmark impute invest with name second send ante buy in on chance dice game hazard lay down lay odds play against play for play the ponies pledge pony up put money on risk speculate tempt fortune toss up trust venture wager adumbrate approximate augur forecast foretell guess judge make rough guess portend predict presage prognosticate prophesy reckon regard think vaticinate apply attend be engrossed in bring to bear brood over center consider closely contemplate crack one's brains direct attention establish examine fix attention fixate focus attention get on the beam give attention hammer hammer away at head trip intensify knuckle down meditate muse need occupy thoughts peruse ponder pour it on put mind to rack one's brains ruminate scrutinize settle study sweat think hard weigh formulate frame set forth attach bet call concentrate Put puts late modern unusual current strange unique recent latest modish novel now topical unknown unlike untried unused virgin dewy like usual future worn old normal common past fresh other more another else extra farther further added improved altered changed renewed revived newly anew affixed appended increased new on the side option over-and-above padding perk spare supplementary afresh another time come again de novo from scratch from the beginning in a different way in a new way lately once again once more one more time over over again recently a distinct a further a separate one more some other that beat experimental head hip innovative lead leading-edge liberal new wave pioneering progressive radical state-of-the-art vanguard dubious flaky mostly working pre-release suspect testing unready bare barren clean empty pale plain spotless uncompleted unfilled unmarked untouched vacant vacuous virginal void white additional avant-garde beta blank curve arc bend braid twine roll jerk ply warp coil plug pull turn wind yank helix hank line slant quirk mess bent trait kink foible snarl knot mix-up tangle change order screw swivel spiral wiggle wrench twirl wrap sprain weave squirm zigzag writhe wring rick explain untwist uncurl color alter belie remain keep corner crook crotch cusp decline divergence dogleg edge elbow flare flection flexure fork incline intersection knee nook notch obliquity point turning twist angle bearing direction facet feature gimmick hand outlook perspective phase point of view position prospect regard scene side situation switch view vista air approach belief bias character demeanor disposition frame of mind headset inclination leaning like it is mental state mindset mindtrip mood notion opinion philosophy posture predilection prejudice proclivity reaction routine say so sensibility sentiment set stance stand standing standpoint temper temperament where one is at conceal disguise distort falsify garble give the lie to gloss over hide miscolor mislead misrepresent misstate pervert trump up bending bow curvation curvature deflection deviation hook lean loop round sag shift tack tilt yaw angle away angle off arch buckle camber careen circle contort crimp crinkle crouch curl deflect deform detour double droop flex genuflect incurvate stoop swerve veer verge waver wilt aspect attitude Twist determine fix clear up explain clarify have settle decide work out iron out lick puzzle unlock divine enlighten fathom decode unravel crack construe hit get elucidate break reason unfold decipher interpret expound work untangle find out make out pan out deal with get right hit upon think out unriddle destroy put off obscure tangle mend hide search defer miss neglect confuse lose twist fail agree pose wonder alleviative antidotal antiseptic corrective curative curing health-giving healthful invigorating medicating medicinal purifying recuperative reformative remedying repairing restitutive sanative sanatory solving soothing therapeutic tonic treating vulnerary wholesome analysis assertion breakdown call conclusion decision declaration determination dissection elucidation end exposition finding interpretation motion nod outcome pay dirt presentation proposal proposition quick fix recitation recommendation resolve settlement solution sorting out ticket unravelling upshot verdict working out Band-Aid clarification explanation explication key result the ticket unfolding unraveling unravelment accomplish acquire actualize attain bring about bring off bring to pass cap carry out carry through close complete conclude consummate deliver discharge dispatch earn earn wings effect effectuate enact execute finish follow through fulfill gain get done manage negotiate obtain perfect perform procure produce rack up reach realize score seal see through sign solve win wind up acknowledge answer back argue back at you back talk be in touch claim comeback contest counterclaim defend deny disprove dispute echo feedback field the question get back at get back to give a snappy comeback parry plead rebut refute rejoin remark respond retaliate retort return sass say shoot back squelch talk back top calculate compute count estimate figure reckon remedial resolution achieve answer cipher rubik die bar brick cake chunk cube hunk ingot loaf lump oblong piece section segment slab slice solid square axe cleave clip dice divide fell fragment hack hackle hash hew lop mangle mince sever shear slash truncate whack bun dough mass pastry roll twist accumulate add aggrandize aggregate augment boost breed build up compound double enlarge expand extend generate heighten magnify manifold mount populate procreate produce proliferate propagate raise repeat rise spread brickwork cinder block stone California sunshine Owsley's acid black tabs blotter blue Owsley blue acid blue dot candy cubes dot electric Kool Aid green dragon hallucinogen instant Zen magic mushrooms mescalin microdots mushrooms orange sunshine peyote purple haze strawberry fields sugar cubes yellow sunshine block chop multiply acid Cube W.I.T.H. with WITH comic sudden tense affecting breathtaking climactic dramaturgic dramaturgical effective electrifying emotional expressive farcical histrionic impressive melodramatic powerful sensational spectacular startling striking suspenseful the histrionical The petty minority less scanty slight lean middling short minute minor trifling exiguous meager paltry piddling rare scarce scattered seldom skimpy slender slim some sparse sporadic stingy thin uncommon scant not many useful large many much major big fat tall thick atomic bottom entry-level feeblest fewest finical first gutter infinitesimal last lowest meanest microcosmic microscopic minimal minimum minutest molecular most trivial nadir next to nothing niggling poorest second short-end third tiniest trivial unimportant few scattering small number smattering spattering sprinkling exceptional few and far between isolated limited occasional odd semioccasional spasmodic stray unusual casual desultory especial exclusive incidental infrequent intermittent not habitual off and on particular random special specific unfrequent attenuate attenuated deficient extraordinary flimsy inconceivable light out of the ordinary rarefied recherché singular strange subtile subtle tenuous unheard of unimaginable unique unlikely unthinkable unwonted at a premium failing in short supply seldom met with shortened shy truncated wanting least handful shift ploy motion step act action change turn stroke stir repose rest walk jump ship blow run fly flow push quit leap exit roll cease wait dally calm delay slow pause hold keep stay face stop come halt enter order fix propel lead bring drive carry start prompt touch impel incite submit sway urge excite strike induce affect rouse cause shove budge tug at lull quiet lose dull accomplishment achievement deed doing execution exploit feat move operation performance thing undertaking accomplish achieve begin carry on carry out consummate cook create develop do a number do one's thing enforce execute function get in there go about go for broke go for it go in for go that route go to town intrude knock off labor make progress maneuver officiate operate percolate perk perpetrate persevere persist practice preside pursue respond serve take effect take part take steps take up transort undertake work out commission dealings effort enterprise exercise exertion handiwork manipulation procedure thrust transaction actify actuate arouse call up energize mobilize motivate set in motion stimulate switch on take out of mothballs trigger turn on activate animate egg on fire up influence inspire instigate key up put up to quicken spur work into lather work up approach overture proposal proposition suggestion advance(s) Moves MOVES m.o.v.e cubes cube Cube speed solving agility pace lick clip headway snap hustle gait hurry rush rustle breeze haste steam urgency apathy delay rest fly advance promote run help ride zoom further hasten boost quicken urge assist bomb gallop tear spring flash impel career race whiz sail aid barrel belt gear up go fast walk retard slow cease block hinder prevent halt stop hurt check accelerate achieve bring forward come forward conquer continue ahead continue on dispatch drive elevate forge ahead gain ground get ahead get green light get there get with it go ahead go forth go forward go great guns go places go to town launch make headway make the scene march move on move onward move up press on proceed progress propel push ahead push on send forward skyrocket speed step forward storm alertness avidity briskness cheerfulness eagerness enthusiasm expedition fervor gaiety hilarity joyousness promptitude quickness readiness sprightliness willingness zeal STP analeptic benny crank crystal dexy pep pill stimulant tab upper alacrity expeditiousness fleetness legerity promptness rapidity speediness swiftness velocity vivacity bird-dog charge chivy course drive away expel follow go after hound hunt run down seek shag take off after track track down trail chase dart dash gush pursue scamper scoot scurry stream surge tumble amphetamine celerity Speed meth drugs addict junky pizza adderall fuck movies bus dennis hopper methamphetamine vyvanse high tweaked determine fix clear up explain clarify have settle decide work out iron out lick puzzle unlock divine enlighten fathom decode unravel crack construe hit get elucidate break reason unfold decipher interpret expound work untangle find out make out pan out deal with get right hit upon think out unriddle destroy put off obscure tangle mend hide search defer miss neglect confuse lose twist fail agree pose wonder alleviative antidotal antiseptic corrective curative curing health-giving healthful invigorating medicating medicinal purifying recuperative reformative remedying repairing restitutive sanative sanatory solving soothing therapeutic tonic treating vulnerary wholesome analysis assertion breakdown call conclusion decision declaration determination dissection elucidation end exposition finding interpretation motion nod outcome pay dirt presentation proposal proposition quick fix recitation recommendation resolve settlement solution sorting out ticket unravelling upshot verdict working out Band-Aid clarification explanation explication key result the ticket unfolding unraveling unravelment accomplish acquire actualize attain bring about bring off bring to pass cap carry out carry through close complete conclude consummate deliver discharge dispatch earn earn wings effect effectuate enact execute finish follow through fulfill gain get done manage negotiate obtain perfect perform procure produce rack up reach realize score seal see through sign solve win wind up acknowledge answer back argue back at you back talk be in touch claim comeback contest counterclaim defend deny disprove dispute echo feedback field the question get back at get back to give a snappy comeback parry plead rebut refute rejoin remark respond retaliate retort return sass say shoot back squelch talk back top calculate compute count estimate figure reckon remedial resolution achieve answer cipher cube hack hew hash clip lop fell dice axe unite join breed boost raise mount rise add hide slump lower drop fall cleave divide fragment hackle mangle mince sever shear slash truncate whack accumulate aggrandize aggregate augment build up compound double enlarge expand extend generate heighten magnify manifold populate procreate produce proliferate propagate repeat spread square chop multiply cubing Cubing Ian ian Scheffler competitive shift stagnation about-face addition adjustment advance break compression contraction conversion correction development difference distortion diversification diversity innovation metamorphosis modification modulation mutation novelty permutation reconstruction refinement remodeling reversal revision revolution surrogate switch tempering transformation transition transmutation turn turnover variance variation variety vicissitude alteration born again change of heart changeover exchange flip-flop flux growth metanoia metasis passage passing progress proselytization qualification reclamation reformation regeneration remodelling reorganization resolution resolving see the light transfiguration translation transmogrification turning turning around contraption cutting edge departure deviation introduction last word latest thing leading edge modernism modernization newness notion wrinkle anomaly change deviant evolution mutant crazy creation dernier cri freshness modernity newfangled contraption oddball oddity original origination recentness sport strangeness surprise unfamiliarity uniqueness weird bend deflection displacement double fault move rearrangement removal shifting substitution tack transfer transference transit translocation veering yaw permutations analytical scientific measurable numerical algebraic division addition calculus geometry algebra figures numbers decrease reduction algorithmic arithmetical computative geometrical math trigonometric calculation multiplication subtraction trigonometry mathematical mathematics Math easy hard time wasting rape die
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