下载辰思小说免费APP
SPHERE。Andwhatisthenextnumber?
I。Six。
SPHERE。Exactly。Thenyouseeyouhaveansweredyourownquestion。
TheCubewhichyouwillgeneratewillbeboundedbysixsides,thatistosay,sixofyourinsides。Youseeitallnow,eh?
"Monster,"Ishrieked,"bethoujuggler,enchanter,dream,ordevil,nomorewillIendurethymockeries。EitherthouorImustperish。"
AndsayingthesewordsIprecipitatedmyselfuponhim。
Section17。HowtheSphere,havinginvaintriedwords,resortedtodeedsItwasinvain。IbroughtmyhardestrightangleintoviolentcollisionwiththeStranger,pressingonhimwithaforcesufficienttohavedestroyedanyordinaryCircle:butIcouldfeelhimslowlyandunarrestablyslippingfrommycontact;noedgingtotherightnortotheleft,butmovingsomehowoutoftheworld,andvanishingtonothing。Soontherewasablank。ButstillIheardtheIntruder’svoice。
SPHERE。Whywillyourefusetolistentoreason?
Ihadhopedtofindinyou——asbeingamanofsenseandanaccomplishedmathematician——afitapostlefortheGospeloftheThreeDimensions,whichIamallowedtopreachonceonlyinathousandyears:butnowIknownothowtoconvinceyou。
Stay,Ihaveit。Deeds,andnotwords,shallproclaimthetruth。
Listen,myfriend。
IhavetoldyouIcanseefrommypositioninSpacetheinsideofallthingsthatyouconsiderclosed。Forexample,Iseeinyondercupboardnearwhichyouarestanding,severalofwhatyoucallboxes(butlikeeverythingelseinFlatland,theyhavenotopsnorbottoms)fullofmoney;Iseealsotwotabletsofaccounts。Iamabouttodescendintothatcupboardandtobringyouoneofthosetablets。Isawyoulockthecupboardhalfanhourago,andIknowyouhavethekeyinyourpossession。
ButIdescendfromSpace;thedoors,yousee,remainunmoved。
NowIaminthecupboardandamtakingthetablet。NowIhaveit。
NowIascendwithit。
Irushedtotheclosetanddashedthedooropen。Oneofthetabletswasgone。Withamockinglaugh,theStrangerappearedintheothercorneroftheroom,andatthesametimethetabletappeareduponthefloor。Itookitup。Therecouldbenodoubt——
itwasthemissingtablet。
Igroanedwithhorror,doubtingwhetherIwasnotoutofmysenses;
buttheStrangercontinued:"Surelyyoumustnowseethatmyexplanation,andnoother,suitsthephenomena。WhatyoucallSolidthingsarereallysuperficial;whatyoucallSpaceisreallynothingbutagreatPlane。IaminSpace,andlookdownupontheinsidesofthethingsofwhichyouonlyseetheoutsides。
YoucouldleavethisPlaneyourself,ifyoucouldbutsummonupthenecessaryvolition。AslightupwardordownwardmotionwouldenableyoutoseeallthatIcansee。
"ThehigherImount,andthefurtherIgofromyourPlane,themoreIcansee,thoughofcourseIseeitonasmallerscale。
Forexample,Iamascending;nowIcanseeyourneighbourtheHexagonandhisfamilyintheirseveralapartments;nowIseetheinsideoftheTheatre,tendoorsoff,fromwhichtheaudienceisonlyjustdeparting;andontheothersideaCircleinhisstudy,sittingathisbooks。NowIshallcomebacktoyou。
And,asacrowningproof,whatdoyousaytomygivingyouatouch,justtheleasttouch,inyourstomach?Itwillnotseriouslyinjureyou,andtheslightpainyoumaysuffercannotbecomparedwiththementalbenefityouwillreceive。"
BeforeIcouldutterawordofremonstrance,Ifeltashootingpaininmyinside,andademoniacallaughseemedtoissuefromwithinme。
Amomentafterwardsthesharpagonyhadceased,leavingnothingbutadullachebehind,andtheStrangerbegantoreappear,saying,ashegraduallyincreasedinsize,"There,Ihavenothurtyoumuch,haveI?Ifyouarenotconvincednow,Idon’tknowwhatwillconvinceyou。Whatsayyou?"
Myresolutionwastaken。ItseemedintolerablethatIshouldendureexistencesubjecttothearbitraryvisitationsofaMagicianwhocouldthusplaytrickswithone’sverystomach。IfonlyIcouldinanywaymanagetopinhimagainstthewalltillhelpcame!
OncemoreIdashedmyhardestangleagainsthim,atthesametimealarmingthewholehouseholdbymycriesforaid。Ibelieve,atthemomentofmyonset,theStrangerhadsunkbelowourPlane,andreallyfounddifficultyinrising。Inanycaseheremainedmotionless,whileI,hearing,asIthought,thesoundofsomehelpapproaching,pressedagainsthimwithredoubledvigour,andcontinuedtoshoutforassistance。
AconvulsiveshudderranthroughtheSphere。"Thismustnotbe,"
IthoughtIheardhimsay:"eitherhemustlistentoreason,orImusthaverecoursetothelastresourceofcivilization。"
Then,addressingmeinaloudertone,hehurriedlyexclaimed,"Listen:nostrangermustwitnesswhatyouhavewitnessed。
SendyourWifebackatonce,beforesheenterstheapartment。
TheGospelofThreeDimensionsmustnotbethusfrustrated。
Notthusmustthefruitsofonethousandyearsofwaitingbethrownaway。Ihearhercoming。Back!back!Awayfromme,oryoumustgowithme——whitheryouknownot——intotheLandofThreeDimensions!"
"Fool!Madman!Irregular!"Iexclaimed;"neverwillIreleasethee;
thoushaltpaythepenaltyofthineimpostures。"
"Ha!Isitcometothis?"thunderedtheStranger:"thenmeetyourfate:outofyourPlaneyougo。Once,twice,thrice!
’Tisdone!"
Section18。HowIcametoSpaceland,andwhatIsawthereAnunspeakablehorrorseizedme。Therewasadarkness;
thenadizzy,sickeningsensationofsightthatwasnotlikeseeing;
IsawaLinethatwasnoLine;SpacethatwasnotSpace:
Iwasmyself,andnotmyself。WhenIcouldfindvoice,Ishriekedaloudinagony,"EitherthisismadnessoritisHell。"
"Itisneither,"calmlyrepliedthevoiceoftheSphere,"itisKnowledge;itisThreeDimensions:openyoureyeonceagainandtrytolooksteadily。"
Ilooked,and,behold,anewworld!Therestoodbeforeme,visiblyincorporate,allthatIhadbeforeinferred,conjectured,dreamed,ofperfectCircularbeauty。WhatseemedthecentreoftheStranger’sformlayopentomyview:yetIcouldseenoheart,norlungs,norarteries,onlyabeautifulharmoniousSomething——
forwhichIhadnowords;butyou,myReadersinSpaceland,wouldcallitthesurfaceoftheSphere。
ProstratingmyselfmentallybeforemyGuide,Icried,"Howisit,OdivineidealofconsummatelovelinessandwisdomthatIseethyinside,andyetcannotdiscernthyheart,thylungs,thyarteries,thyliver?""Whatyouthinkyousee,youseenot,"hereplied;
"itisnotgiventoyou,nortoanyotherBeingtobeholdmyinternalparts。IamofadifferentorderofBeingsfromthoseinFlatland。WereIaCircle,youcoulddiscernmyintestines,butIamaBeing,composedasItoldyoubefore,ofmanyCircles,theManyintheOne,calledinthiscountryaSphere。And,justastheoutsideofaCubeisaSquare,sotheoutsideofaSpherepresentstheappearanceofaCircle。"
BewilderedthoughIwasbymyTeacher’senigmaticutterance,Inolongerchafedagainstit,butworshippedhiminsilentadoration。
Hecontinued,withmoremildnessinhisvoice。"DistressnotyourselfifyoucannotatfirstunderstandthedeepermysteriesofSpaceland。
Bydegreestheywilldawnuponyou。Letusbeginbycastingbackaglanceattheregionwhenceyoucame。ReturnwithmeawhiletotheplainsofFlatland,andIwillshewyouthatwhichyouhaveoftenreasonedandthoughtabout,butneverseenwiththesenseofsight——avisibleangle。""Impossible!"Icried;
but,theSphereleadingtheway,Ifollowedasifinadream,tilloncemorehisvoicearrestedme:"Lookyonder,andbeholdyourownPentagonalhouse,andallitsinmates。"
Ilookedbelow,andsawwithmyphysicaleyeallthatdomesticindividualitywhichIhadhithertomerelyinferredwiththeunderstanding。AndhowpoorandshadowywastheinferredconjectureincomparisonwiththerealitywhichInowbeheld!
MyfourSonscalmlyasleepintheNorth-Westernrooms,mytwoorphanGrandsonstotheSouth;theServants,theButler,myDaughter,allintheirseveralapartments。OnlymyaffectionateWife,alarmedbymycontinuedabsence,hadquittedherroomandwasrovingupanddownintheHall,anxiouslyawaitingmyreturn。AlsothePage,arousedbymycries,hadlefthisroom,andunderpretextofascertainingwhetherIhadfallensomewhereinafaint,waspryingintothecabinetinmystudy。
AllthisIcouldnowSEE,notmerelyinfer;andaswecamenearerandnearer,Icoulddiscerneventhecontentsofmycabinet,andthetwochestsofgold,andthetabletsofwhichtheSpherehadmademention。
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PolicemanPolicemanTouchedbymyWife’sdistress,Iwouldhavesprungdownwardtoreassureher,butIfoundmyselfincapableofmotion。
"TroublenotyourselfaboutyourWife,"saidmyGuide:
"shewillnotbelongleftinanxiety;meantime,letustakeasurveyofFlatland。"
OncemoreIfeltmyselfrisingthroughspace。ItwasevenastheSpherehadsaid。Thefurtherwerecededfromtheobjectwebeheld,thelargerbecamethefieldofvision。Mynativecity,withtheinteriorofeveryhouseandeverycreaturetherein,layopentomyviewinminiature。Wemountedhigher,andlo,thesecretsoftheearth,thedepthsofminesandinmostcavernsofthehills,werebaredbeforeme。
Awestruckatthesightofthemysteriesoftheearth,thusunveiledbeforemyunworthyeye,IsaidtomyCompanion,"Behold,IambecomeasaGod。Forthewisemeninourcountrysaythattoseeallthings,orastheyexpressit,OMNIVIDENCE,istheattributeofGodalone。"TherewassomethingofscorninthevoiceofmyTeacherashemadeanswer:"Isitsoindeed?
Thentheverypick-pocketsandcut-throatsofmycountryaretobeworshippedbyyourwisemenasbeingGods:
forthereisnotoneofthemthatdoesnotseeasmuchasyouseenow。
Buttrustme,yourwisemenarewrong。"
I。ThenisomnividencetheattributeofothersbesidesGods?
SPHERE。Idonotknow。But,ifapick-pocketoracut-throatofourcountrycanseeeverythingthatisinyourcountry,surelythatisnoreasonwhythepick-pocketorcut-throatshouldbeacceptedbyyouasaGod。Thisomnividence,asyoucallit——
itisnotacommonwordinSpaceland——doesitmakeyoumorejust,moremerciful,lessselfish,moreloving?Notintheleast。
Thenhowdoesitmakeyoumoredivine?
I。"Moremerciful,moreloving!"Butthesearethequalitiesofwomen!AndweknowthataCircleisahigherBeingthanaStraightLine,insofarasknowledgeandwisdomaremoretobeesteemedthanmereaffection。
SPHERE。Itisnotformetoclassifyhumanfacultiesaccordingtomerit。YetmanyofthebestandwisestinSpacelandthinkmoreoftheaffectionsthanoftheunderstanding,moreofyourdespisedStraightLinesthanofyourbelaudedCircles。Butenoughofthis。
Lookyonder。Doyouknowthatbuilding?
Ilooked,andafaroffIsawanimmensePolygonalstructure,inwhichIrecognizedtheGeneralAssemblyHalloftheStatesofFlatland,surroundedbydenselinesofPentagonalbuildingsatrightanglestoeachother,whichIknewtobestreets;andIperceivedthatIwasapproachingthegreatMetropolis。
"Herewedescend,"saidmyGuide。Itwasnowmorning,thefirsthourofthefirstdayofthetwothousandthyearofourera。
Acting,aswastheirwont,instrictaccordancewithprecedent,thehighestCirclesoftherealmweremeetinginsolemnconclave,astheyhadmetonthefirsthourofthefirstdayoftheyear1000,andalsoonthefirsthourofthefirstdayoftheyear0。
TheminutesofthepreviousmeetingswerenowreadbyonewhomI
atoncerecognizedasmybrother,aperfectlySymmetricalSquare,andtheChiefClerkoftheHighCouncil。Itwasfoundrecordedoneachoccasionthat:"WhereastheStateshadbeentroubledbydiversill-intentionedpersonspretendingtohavereceivedrevelationsfromanotherWorld,andprofessingtoproducedemonstrationswherebytheyhadinstigatedtofrenzyboththemselvesandothers,ithadbeenforthiscauseunanimouslyresolvedbytheGrandCouncilthatonthefirstdayofeachmillenary,specialinjunctionsbesenttothePrefectsintheseveraldistrictsofFlatland,tomakestrictsearchforsuchmisguidedpersons,andwithoutformalityofmathematicalexamination,todestroyallsuchaswereIsoscelesofanydegree,toscourgeandimprisonanyregularTriangle,tocauseanySquareorPentagontobesenttothedistrictAsylum,andtoarrestanyoneofhigherrank,sendinghimstraightwaytotheCapitaltobeexaminedandjudgedbytheCouncil。"
"Youhearyourfate,"saidtheSpheretome,whiletheCouncilwaspassingforthethirdtimetheformalresolution。
"DeathorimprisonmentawaitstheApostleoftheGospelofThreeDimensions。""Notso,"repliedI,"thematterisnowsocleartome,thenatureofrealspacesopalpable,thatmethinksIcouldmakeachildunderstandit。Permitmebuttodescendatthismomentandenlightenthem。""Notyet,"saidmyGuide,"thetimewillcomeforthat。MeantimeImustperformmymission。
Staythouthereinthyplace。"Sayingthesewords,heleapedwithgreatdexterityintothesea(ifImaysocallit)
ofFlatland,rightinthemidstoftheringofCounsellors。"Icome,"
criedhe,"toproclaimthatthereisalandofThreeDimensions。"
IcouldseemanyoftheyoungerCounsellorsstartbackinmanifesthorror,astheSphere’scircularsectionwidenedbeforethem。ButonasignfromthepresidingCircle——whoshewednottheslightestalarmorsurprise——sixIsoscelesofalowtypefromsixdifferentquartersrushedupontheSphere。
"Wehavehim,"theycried;"No;yes;wehavehimstill!he’sgoing!
he’sgone!"
"MyLords,"saidthePresidenttotheJuniorCirclesoftheCouncil,"thereisnottheslightestneedforsurprise;thesecretarchives,towhichIalonehaveaccess,tellmethatasimilaroccurrencehappenedonthelasttwomillennialcommencements。Youwill,ofcourse,saynothingofthesetriflesoutsidetheCabinet。"
Raisinghisvoice,henowsummonedtheguards。"Arrestthepolicemen;
gagthem。Youknowyourduty。"Afterhehadconsignedtotheirfatethewretchedpolicemen——ill-fatedandunwillingwitnessesofaState-secretwhichtheywerenottobepermittedtoreveal——
heagainaddressedtheCounsellors。"MyLords,thebusinessoftheCouncilbeingconcluded,IhaveonlytowishyouahappyNewYear。"Beforedeparting,heexpressed,atsomelength,totheClerk,myexcellentbutmostunfortunatebrother,hissincereregretthat,inaccordancewithprecedentandforthesakeofsecrecy,hemustcondemnhimtoperpetualimprisonment,butaddedhissatisfactionthat,unlesssomementionweremadebyhimofthatday’sincident,hislifewouldbespared。
Section19。How,thoughtheSphereshewedmeothermysteriesofSpaceland,Istilldesiredmore;andwhatcameofitWhenIsawmypoorbrotherledawaytoimprisonment,IattemptedtoleapdownintotheCouncilChamber,desiringtointercedeonhisbehalf,oratleastbidhimfarewell。ButIfoundthatIhadnomotionofmyown。IabsolutelydependedonthevolitionofmyGuide,whosaidingloomytones,"Heednotthybrother;
haplythoushalthaveampletimehereaftertocondolewithhim。
Followme。"
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Oncemoreweascendedintospace。"Hitherto,"saidtheSphere,"IhaveshewnyounaughtsavePlaneFiguresandtheirinteriors。
NowImustintroduceyoutoSolids,andrevealtoyoutheplanuponwhichtheyareconstructed。Beholdthismultitudeofmoveablesquarecards。See,Iputoneonanother,not,asyousupposed,Northwardoftheother,butONtheother。
Nowasecond,nowathird。See,IambuildingupaSolidbyamultitudeofSquaresparalleltooneanother。NowtheSolidiscomplete,beingashighasitislongandbroad,andwecallitaCube。"
"Pardonme,myLord,"repliedI;"buttomyeyetheappearanceisasofanIrregularFigurewhoseinsideislaidopentotheview;
inotherwords,methinksIseenoSolid,butaPlanesuchasweinferinFlatland;onlyofanIrregularitywhichbetokenssomemonstrouscriminal,sothattheverysightofitispainfultomyeyes。"
"True,"saidtheSphere,"itappearstoyouaPlane,becauseyouarenotaccustomedtolightandshadeandperspective;
justasinFlatlandaHexagonwouldappearaStraightLinetoonewhohasnottheArtofSightRecognition。ButinrealityitisaSolid,asyoushalllearnbythesenseofFeeling。"
HethenintroducedmetotheCube,andIfoundthatthismarvellousBeingwasindeednoPlane,butaSolid;andthathewasendowedwithsixplanesidesandeightterminalpointscalledsolidangles;andIrememberedthesayingoftheSpherethatjustsuchaCreatureasthiswouldbeformedbyaSquaremoving,inSpace,paralleltohimself:andIrejoicedtothinkthatsoinsignificantaCreatureasIcouldinsomesensebecalledtheProgenitorofsoillustriousanoffspring。
ButstillIcouldnotfullyunderstandthemeaningofwhatmyTeacherhadtoldmeconcerning"light"and"shade"and"perspective";
andIdidnothesitatetoputmydifficultiesbeforehim。
WereItogivetheSphere’sexplanationofthesematters,succinctandclearthoughitwas,itwouldbetedioustoaninhabitantofSpace,whoknowsthesethingsalready。Sufficeit,thatbyhislucidstatements,andbychangingthepositionofobjectsandlights,andbyallowingmetofeeltheseveralobjectsandevenhisownsacredPerson,heatlastmadeallthingscleartome,sothatIcouldnowreadilydistinguishbetweenaCircleandaSphere,aPlaneFigureandaSolid。
ThiswastheClimax,theParadise,ofmystrangeeventfulHistory。
HenceforthIhavetorelatethestoryofmymiserableFall:——
mostmiserable,yetsurelymostundeserved!Forwhyshouldthethirstforknowledgebearoused,onlytobedisappointedandpunished?
Myvolitionshrinksfromthepainfultaskofrecallingmyhumiliation;
yet,likeasecondPrometheus,Iwillendurethisandworse,ifbyanymeansImayarouseintheinteriorsofPlaneandSolidHumanityaspiritofrebellionagainsttheConceitwhichwouldlimitourDimensionstoTwoorThreeoranynumbershortofInfinity。
Awaythenwithallpersonalconsiderations!Letmecontinuetotheend,asIbegan,withoutfurtherdigressionsoranticipations,pursuingtheplainpathofdispassionateHistory。Theexactfacts,theexactwords,——andtheyareburntinuponmybrain,——
shallbesetdownwithoutalterationofaniota;andletmyReadersjudgebetweenmeandDestiny。
TheSpherewouldwillinglyhavecontinuedhislessonsbyindoctrinatingmeintheconformationofallregularSolids,Cylinders,Cones,Pyramids,Pentahedrons,Hexahedrons,Dodecahedrons,andSpheres:butIventuredtointerrupthim。NotthatIwasweariedofknowledge。Onthecontrary,Ithirstedforyetdeeperandfullerdraughtsthanhewasofferingtome。
"Pardonme,"saidI,"OThouWhomImustnolongeraddressasthePerfectionofallBeauty;butletmebegtheetovouchsafethyservantasightofthineinterior。"
SPHERE。Mywhat?
I。Thineinterior:thystomach,thyintestines。
SPHERE。Whencethisill-timedimpertinentrequest?AndwhatmeanyoubysayingthatIamnolongerthePerfectionofallBeauty?
I。MyLord,yourownwisdomhastaughtmetoaspiretoOneevenmoregreat,morebeautiful,andmorecloselyapproximatetoPerfectionthanyourself。Asyouyourself,superiortoallFlatlandforms,combinemanyCirclesinOne,sodoubtlessthereisOneaboveyouwhocombinesmanySpheresinOneSupremeExistence,surpassingeventheSolidsofSpaceland。Andevenaswe,whoarenowinSpace,lookdownonFlatlandandseetheinsidesofallthings,soofacertaintythereisyetaboveussomehigher,purerregion,whitherthoudostsurelypurposetoleadme——
OThouWhomIshallalwayscall,everywhereandinallDimensions,myPriest,Philosopher,andFriend——someyetmorespaciousSpace,somemoredimensionableDimensionality,fromthevantage-groundofwhichweshalllookdowntogetherupontherevealedinsidesofSolidthings,andwherethineownintestines,andthoseofthykindredSpheres,willlieexposedtotheviewofthepoorwanderingexilefromFlatland,towhomsomuchhasalreadybeenvouchsafed。
SPHERE。Pooh!Stuff!Enoughofthistrifling!Thetimeisshort,andmuchremainstobedonebeforeyouarefittoproclaimtheGospelofThreeDimensionstoyourblindbenightedcountrymeninFlatland。
I。Nay,graciousTeacher,denymenotwhatIknowitisinthypowertoperform。Grantmebutoneglimpseofthineinterior,andIamsatisfiedforever,remaininghenceforththydocilepupil,thyunemancipableslave,readytoreceiveallthyteachingsandtofeeduponthewordsthatfallfromthylips。
SPHERE。Well,then,tocontentandsilenceyou,letmesayatonce,IwouldshewyouwhatyouwishifIcould;butIcannot。
Wouldyouhavemeturnmystomachinsideouttoobligeyou?
I。ButmyLordhasshewnmetheintestinesofallmycountrymenintheLandofTwoDimensionsbytakingmewithhimintotheLandofThree。WhatthereforemoreeasythannowtotakehisservantonasecondjourneyintotheblessedregionoftheFourthDimension,whereIshalllookdownwithhimoncemoreuponthislandofThreeDimensions,andseetheinsideofeverythree-dimensionedhouse,thesecretsofthesolidearth,thetreasuresoftheminesinSpaceland,andtheintestinesofeverysolidlivingcreature,evenofthenobleandadorableSpheres。
SPHERE。ButwhereisthislandofFourDimensions?
I。Iknownot:butdoubtlessmyTeacherknows。
SPHERE。NotI。Thereisnosuchland。Theveryideaofitisutterlyinconceivable。
I。Notinconceivable,myLord,tome,andthereforestilllessinconceivabletomyMaster。Nay,Idespairnotthat,evenhere,inthisregionofThreeDimensions,yourLordship’sartmaymaketheFourthDimensionvisibletome;justasintheLandofTwoDimensionsmyTeacher’sskillwouldfainhaveopenedtheeyesofhisblindservanttotheinvisiblepresenceofaThirdDimension,thoughIsawitnot。
Letmerecallthepast。WasInottaughtbelowthatwhenIsawaLineandinferredaPlane,IinrealitysawaThirdunrecognizedDimension,notthesameasbrightness,called"height"?Anddoesitnotnowfollowthat,inthisregion,whenIseeaPlaneandinferaSolid,IreallyseeaFourthunrecognizedDimension,notthesameascolour,butexistent,thoughinfinitesimalandincapableofmeasurement?
Andbesidesthis,thereistheArgumentfromAnalogyofFigures。
SPHERE。Analogy!Nonsense:whatanalogy?
I。YourLordshiptemptshisservanttoseewhetherherememberstherevelationsimpartedtohim。Triflenotwithme,myLord;
Icrave,Ithirst,formoreknowledge。DoubtlesswecannotSEE
thatotherhigherSpacelandnow,becausewewehavenoeyeinourstomachs。But,justasthereWAStherealmofFlatland,thoughthatpoorpunyLinelandMonarchcouldneitherturntoleftnorrighttodiscernit,andjustasthereWAScloseathand,andtouchingmyframe,thelandofThreeDimensions,thoughI,blindsenselesswretch,hadnopowertotouchit,noeyeinmyinteriortodiscernit,soofasuretythereisaFourthDimension,whichmyLordperceiveswiththeinnereyeofthought。AndthatitmustexistmyLordhimselfhastaughtme。
Orcanhehaveforgottenwhathehimselfimpartedtohisservant?
InOneDimension,didnotamovingPointproduceaLinewithTWOterminalpoints?
InTwoDimensions,didnotamovingLineproduceaSquarewithFOURterminalpoints?
InThreeDimensions,didnotamovingSquareproduce——
didnotthiseyeofminebeholdit——thatblessedBeing,aCube,withEIGHTterminalpoints?
AndinFourDimensionsshallnotamovingCube——alas,forAnalogy,andalasfortheProgressofTruth,ifitbenotso——shallnot,Isay,themotionofadivineCuberesultinastillmoredivineOrganizationwithSIXTEENterminalpoints?
BeholdtheinfallibleconfirmationoftheSeries,2,4,8,16:
isnotthisaGeometricalProgression?Isnotthis——ifImightquotemyLord’sownwords——"strictlyaccordingtoAnalogy"?
Again,wasInottaughtbymyLordthatasinaLinethereareTWOboundingPoints,andinaSquarethereareFOUR
boundingLines,soinaCubetheremustbeSIXboundingSquares?
BeholdoncemoretheconfirmingSeries,2,4,6:isnotthisanArithmeticalProgression?AndconsequentlydoesitnotofnecessityfollowthatthemoredivineoffspringofthedivineCubeintheLandofFourDimensions,musthave8boundingCubes:
andisnotthisalso,asmyLordhastaughtmetobelieve,"strictlyaccordingtoAnalogy"?
O,myLord,myLord,behold,Icastmyselfinfaithuponconjecture,notknowingthefacts;andIappealtoyourLordshiptoconfirmordenymylogicalanticipations。IfIamwrong,Iyield,andwillnolongerdemandafourthDimension;but,ifIamright,myLordwilllistentoreason。
Iasktherefore,isit,orisitnot,thefact,thaterenowyourcountrymenalsohavewitnessedthedescentofBeingsofahigherorderthantheirown,enteringclosedrooms,evenasyourLordshipenteredmine,withouttheopeningofdoorsorwindows,andappearingandvanishingatwill?OnthereplytothisquestionIamreadytostakeeverything。Denyit,andIamhenceforthsilent。Onlyvouchsafeananswer。
SPHERE。(AFTERAPAUSE)。Itisreportedso。Butmenaredividedinopinionastothefacts。Andevengrantingthefacts,theyexplainthemindifferentways。Andinanycase,howevergreatmaybethenumberofdifferentexplanations,noonehasadoptedorsuggestedthetheoryofaFourthDimension。
Therefore,prayhavedonewiththistrifling,andletusreturntobusiness。
I。Iwascertainofit。Iwascertainthatmyanticipationswouldbefulfilled。Andnowhavepatiencewithmeandanswermeyetonemorequestion,bestofTeachers!Thosewhohavethusappeared——
nooneknowswhence——andhavereturned——nooneknowswhither——
havetheyalsocontractedtheirsectionsandvanishedsomehowintothatmoreSpaciousSpace,whitherInowentreatyoutoconductme?
SPHERE(MOODILY)。Theyhavevanished,certainly——
iftheyeverappeared。Butmostpeoplesaythatthesevisionsarosefromthethought——youwillnotunderstandme——fromthebrain;
fromtheperturbedangularityoftheSeer。
I。Saytheyso?Oh,believethemnot。Orifitindeedbeso,thatthisotherSpaceisreallyThoughtland,thentakemetothatblessedRegionwhereIinThoughtshallseetheinsidesofallsolidthings。There,beforemyravishedeye,aCube,movinginsomealtogethernewdirection,butstrictlyaccordingtoAnalogy,soastomakeeveryparticleofhisinteriorpassthroughanewkindofSpace,withawakeofitsown——shallcreateastillmoreperfectperfectionthanhimself,withsixteenterminalExtra-solidangles,andEightsolidCubesforhisPerimeter。
Andoncethere,shallwestayourupwardcourse?InthatblessedregionofFourDimensions,shallwelingeronthethresholdoftheFifth,andnotentertherein?Ah,no!Letusratherresolvethatourambitionshallsoarwithourcorporalascent。Then,yieldingtoourintellectualonset,thegatesoftheSixthDimensionshallflyopen;afterthataSeventh,andthenanEighth——
HowlongIshouldhavecontinuedIknownot。InvaindidtheSphere,inhisvoiceofthunder,reiteratehiscommandofsilence,andthreatenmewiththedirestpenaltiesifIpersisted。
Nothingcouldstemthefloodofmyecstaticaspirations。
PerhapsIwastoblame;butindeedIwasintoxicatedwiththerecentdraughtsofTruthtowhichhehimselfhadintroducedme。
However,theendwasnotlongincoming。Mywordswerecutshortbyacrashoutside,andasimultaneouscrashinsideme,whichimpelledmethroughspacewithavelocitythatprecludedspeech。
Down!down!down!Iwasrapidlydescending;andIknewthatreturntoFlatlandwasmydoom。Oneglimpse,onelastandnever-to-be-forgottenglimpseIhadofthatdulllevelwilderness——whichwasnowtobecomemyUniverseagain——
spreadoutbeforemyeye。Thenadarkness。Thenafinal,all-consummatingthunder-peal;and,whenIcametomyself,IwasoncemoreacommoncreepingSquare,inmyStudyathome,listeningtothePeace-CryofmyapproachingWife。
Section20。HowtheSphereencouragedmeinaVisionAlthoughIhadlessthanaminuteforreflection,Ifelt,byakindofinstinct,thatImustconcealmyexperiencesfrommyWife。
NotthatIapprehended,atthemoment,anydangerfromherdivulgingmysecret,butIknewthattoanyWomaninFlatlandthenarrativeofmyadventuresmustneedsbeunintelligible。
SoIendeavouredtoreassureherbysomestory,inventedfortheoccasion,thatIhadaccidentallyfallenthroughthetrap-doorofthecellar,andhadtherelainstunned。
TheSouthwardattractioninourcountryissoslightthateventoaWomanmytalenecessarilyappearedextraordinaryandwell-nighincredible;butmyWife,whosegoodsensefarexceedsthatoftheaverageofherSex,andwhoperceivedthatIwasunusuallyexcited,didnotarguewithmeonthesubject,butinsistedthatIwasillandrequiredrepose。Iwasgladofanexcuseforretiringtomychambertothinkquietlyoverwhathadhappened。WhenIwasatlastbymyself,adrowsysensationfellonme;butbeforemyeyesclosedIendeavouredtoreproducetheThirdDimension,andespeciallytheprocessbywhichaCubeisconstructedthroughthemotionofaSquare。ItwasnotsoclearasIcouldhavewished;butIrememberedthatitmustbe"Upward,andyetnotNorthward",andIdeterminedsteadfastlytoretainthesewordsasthecluewhich,iffirmlygrasped,couldnotfailtoguidemetothesolution。Somechanicallyrepeating,likeacharm,thewords,"Upward,yetnotNorthward",Ifellintoasoundrefreshingsleep。
DuringmyslumberIhadadream。IthoughtIwasoncemorebythesideoftheSphere,whoselustroushuebetokenedthathehadexchangedhiswrathagainstmeforperfectplacability。WeweremovingtogethertowardsabrightbutinfinitesimallysmallPoint,towhichmyMasterdirectedmyattention。Asweapproached,methoughtthereissuedfromitaslighthummingnoiseasfromoneofyourSpacelandbluebottles,onlylessresonantbyfar,soslightindeedthatevenintheperfectstillnessoftheVacuumthroughwhichwesoared,thesoundreachednotourearstillwecheckedourflightatadistancefromitofsomethingundertwentyhumandiagonals。
"Lookyonder,"saidmyGuide,"inFlatlandthouhastlived;
ofLinelandthouhastreceivedavision;thouhastsoaredwithmetotheheightsofSpaceland;now,inordertocompletetherangeofthyexperience,Iconducttheedownwardtothelowestdepthofexistence,eventotherealmofPointland,theAbyssofNodimensions。
"Beholdyonmiserablecreature。ThatPointisaBeinglikeourselves,butconfinedtothenon-dimensionalGulf。HeishimselfhisownWorld,hisownUniverse;ofanyotherthanhimselfhecanformnoconception;heknowsnotLength,norBreadth,norHeight,forhehashadnoexperienceofthem;hehasnocognizanceevenofthenumberTwo;norhasheathoughtofPlurality;
forheishimselfhisOneandAll,beingreallyNothing。
Yetmarkhisperfectself-contentment,andhencelearnthislesson,thattobeself-contentedistobevileandignorant,andthattoaspireisbetterthantobeblindlyandimpotentlyhappy。
Nowlisten。"
Heceased;andtherearosefromthelittlebuzzingcreatureatiny,low,monotonous,butdistincttinkling,asfromoneofyourSpacelandphonographs,fromwhichIcaughtthesewords,"Infinitebeatitudeofexistence!Itis;andthereisnoneelsebesideIt。"
"What,"saidI,"doesthepunycreaturemeanby’it’?"
"Hemeanshimself,"saidtheSphere:"haveyounotnoticedbeforenow,thatbabiesandbabyishpeoplewhocannotdistinguishthemselvesfromtheworld,speakofthemselvesintheThirdPerson?
Buthush!"
"ItfillsallSpace,"continuedthelittlesoliloquizingCreature,"andwhatItfills,Itis。WhatItthinks,thatItutters;
andwhatItutters,thatIthears;andItitselfisThinker,Utterer,Hearer,Thought,Word,Audition;itistheOne,andyettheAllinAll。Ah,thehappinessah,thehappinessofBeing!"
"Canyounotstartlethelittlethingoutofitscomplacency?"saidI。
"Tellitwhatitreallyis,asyoutoldme;revealtoitthenarrowlimitationsofPointland,andleadituptosomethinghigher。""Thatisnoeasytask,"saidmyMaster;"tryyou。"
Hereon,raisingmyvoicetotheuttermost,IaddressedthePointasfollows:
"Silence,silence,contemptibleCreature。YoucallyourselftheAllinAll,butyouaretheNothing:yourso-calledUniverseisamerespeckinaLine,andaLineisamereshadowascomparedwith——""Hush,hush,youhavesaidenough,"
interruptedtheSphere,"nowlisten,andmarktheeffectofyourharangueontheKingofPointland。"
ThelustreoftheMonarch,whobeamedmorebrightlythaneveruponhearingmywords,shewedclearlythatheretainedhiscomplacency;
andIhadhardlyceasedwhenhetookuphisstrainagain。
"Ah,thejoy,ah,thejoyofThought!WhatcanItnotachievebythinking!ItsownThoughtcomingtoItself,suggestiveofItsdisparagement,therebytoenhanceItshappiness!Sweetrebellionstirreduptoresultintriumph!Ah,thedivinecreativepoweroftheAllinOne!Ah,thejoy,thejoyofBeing!"
"Yousee,"saidmyTeacher,"howlittleyourwordshavedone。SofarastheMonarchunderstandsthematall,heacceptsthemashisown——
forhecannotconceiveofanyotherexcepthimself——
andplumeshimselfuponthevarietyof’ItsThought’asaninstanceofcreativePower。LetusleavethisGodofPointlandtotheignorantfruitionofhisomnipresenceandomniscience:nothingthatyouorI
candocanrescuehimfromhisself-satisfaction。"
Afterthis,aswefloatedgentlybacktoFlatland,IcouldhearthemildvoiceofmyCompanionpointingthemoralofmyvision,andstimulatingmetoaspire,andtoteachotherstoaspire。
Hehadbeenangeredatfirst——heconfessed——bymyambitiontosoartoDimensionsabovetheThird;but,sincethen,hehadreceivedfreshinsight,andhewasnottooproudtoacknowledgehiserrortoaPupil。ThenheproceededtoinitiatemeintomysteriesyethigherthanthoseIhadwitnessed,shewingmehowtoconstructExtra-SolidsbythemotionofSolids,andDoubleExtra-SolidsbythemotionofExtra-Solids,andall"strictlyaccordingtoAnalogy",allbymethodssosimple,soeasy,astobepatenteventotheFemaleSex。
Section21。HowItriedtoteachtheTheoryofThreeDimensionstomyGrandson,andwithwhatsuccessIawokerejoicing,andbegantoreflectonthegloriouscareerbeforeme。Iwouldgoforth,methought,atonce,andevangelizethewholeofFlatland。EventoWomenandSoldiersshouldtheGospelofThreeDimensionsbeproclaimed。IwouldbeginwithmyWife。
JustasIhaddecidedontheplanofmyoperations,Iheardthesoundofmanyvoicesinthestreetcommandingsilence。
Thenfollowedaloudervoice。Itwasaherald’sproclamation。
Listeningattentively,IrecognizedthewordsoftheResolutionoftheCouncil,enjoiningthearrest,imprisonment,orexecutionofanyonewhoshouldpervertthemindsofthepeoplebydelusions,andbyprofessingtohavereceivedrevelationsfromanotherWorld。
Ireflected。Thisdangerwasnottobetrifledwith。ItwouldbebettertoavoiditbyomittingallmentionofmyRevelation,andbyproceedingonthepathofDemonstration——whichafterall,seemedsosimpleandsoconclusivethatnothingwouldbelostbydiscardingtheformermeans。"Upward,notNorthward"——
wasthecluetothewholeproof。IthadseemedtomefairlyclearbeforeIfellasleep;andwhenIfirstawoke,freshfrommydream,ithadappearedaspatentasArithmetic;butsomehowitdidnotseemtomequitesoobviousnow。ThoughmyWifeenteredtheroomopportunelyjustatthatmoment,Idecided,afterwehadexchangedafewwordsofcommonplaceconversation,nottobeginwithher。
MyPentagonalSonsweremenofcharacterandstanding,andphysiciansofnomeanreputation,butnotgreatinmathematics,and,inthatrespect,unfitformypurpose。ButitoccurredtomethatayounganddocileHexagon,withamathematicalturn,wouldbeamostsuitablepupil。WhythereforenotmakemyfirstexperimentwithmylittleprecociousGrandson,whosecasualremarksonthemeaningof3^3hadmetwiththeapprovaloftheSphere?Discussingthematterwithhim,amereboy,Ishouldbeinperfectsafety;forhewouldknownothingoftheProclamationoftheCouncil;whereasIcouldnotfeelsurethatmySons——sogreatlydidtheirpatriotismandreverencefortheCirclespredominateovermereblindaffection——
mightnotfeelcompelledtohandmeovertothePrefect,iftheyfoundmeseriouslymaintainingtheseditiousheresyoftheThirdDimension。
ButthefirstthingtobedonewastosatisfyinsomewaythecuriosityofmyWife,whonaturallywishedtoknowsomethingofthereasonsforwhichtheCirclehaddesiredthatmysteriousinterview,andofthemeansbywhichhehadenteredthehouse。WithoutenteringintothedetailsoftheelaborateaccountIgaveher,——anaccount,Ifear,notquitesoconsistentwithtruthasmyReadersinSpacelandmightdesire,——ImustbecontentwithsayingthatIsucceededatlastinpersuadinghertoreturnquietlytoherhouseholddutieswithoutelicitingfrommeanyreferencetotheWorldofThreeDimensions。Thisdone,IimmediatelysentformyGrandson;
for,toconfessthetruth,IfeltthatallthatIhadseenandheardwasinsomestrangewayslippingawayfromme,liketheimageofahalf-grasped,tantalizingdream,andIlongedtoessaymyskillinmakingafirstdisciple。
WhenmyGrandsonenteredtheroomIcarefullysecuredthedoor。
Then,sittingdownbyhissideandtakingourmathematicaltablets,——or,asyouwouldcallthem,Lines——Itoldhimwewouldresumethelessonofyesterday。ItaughthimoncemorehowaPointbymotioninOneDimensionproducesaLine,andhowastraightLineinTwoDimensionsproducesaSquare。Afterthis,forcingalaugh,Isaid,"Andnow,youscamp,youwantedtomakemebelievethataSquaremayinthesamewaybymotion’Upward,notNorthward’
produceanotherfigure,asortofextraSquareinThreeDimensions。
Saythatagain,youyoungrascal。"
Atthismomentweheardoncemoretheherald’s"Oyes!Oyes!"
outsideinthestreetproclaimingtheResolutionoftheCouncil。
Youngthoughhewas,myGrandson——whowasunusuallyintelligentforhisage,andbredupinperfectreverencefortheauthorityoftheCircles——tookinthesituationwithanacutenessforwhichIwasquiteunprepared。HeremainedsilenttillthelastwordsoftheProclamationhaddiedaway,andthen,burstingintotears,"DearGrandpapa,"hesaid,"thatwasonlymyfun,andofcourseImeantnothingatallbyit;andwedidnotknowanythingthenaboutthenewLaw;andIdon’tthinkIsaidanythingabouttheThirdDimension;andIamsureIdidnotsayonewordabout’Upward,notNorthward’,forthatwouldbesuchnonsense,youknow。HowcouldathingmoveUpward,andnotNorthward?
UpwardandnotNorthward!EvenifIwereababy,Icouldnotbesoabsurdasthat。Howsillyitis!Ha!ha!ha!"
"Notatallsilly,"saidI,losingmytemper;"hereforexample,ItakethisSquare,"and,attheword,IgraspedamoveableSquare,whichwaslyingathand——"andImoveit,yousee,notNorthwardbut——yes,ImoveitUpward——thatistosay,notNorthward,butImoveitsomewhere——notexactlylikethis,butsomehow——"
HereIbroughtmysentencetoaninaneconclusion,shakingtheSquareaboutinapurposelessmanner,muchtotheamusementofmyGrandson,whoburstoutlaughinglouderthanever,anddeclaredthatIwasnotteachinghim,butjokingwithhim;andsosayingheunlockedthedoorandranoutoftheroom。ThusendedmyfirstattempttoconvertapupiltotheGospelofThreeDimensions。
Section22。HowIthentriedtodiffusetheTheoryofThreeDimensionsbyothermeans,andoftheresultMyfailurewithmyGrandsondidnotencouragemetocommunicatemysecrettoothersofmyhousehold;yetneitherwasIledbyittodespairofsuccess。OnlyIsawthatImustnotwhollyrelyonthecatch-phrase,"Upward,notNorthward",butmustratherendeavourtoseekademonstrationbysettingbeforethepublicaclearviewofthewholesubject;andforthispurposeitseemednecessarytoresorttowriting。
SoIdevotedseveralmonthsinprivacytothecompositionofatreatiseonthemysteriesofThreeDimensions。Only,withtheviewofevadingtheLaw,ifpossible,IspokenotofaphysicalDimension,butofaThoughtlandwhence,intheory,aFigurecouldlookdownuponFlatlandandseesimultaneouslytheinsidesofallthings,andwhereitwaspossiblethattheremightbesupposedtoexistaFigureenvironed,asitwere,withsixSquares,andcontainingeightterminalPoints。ButinwritingthisbookIfoundmyselfsadlyhamperedbytheimpossibilityofdrawingsuchdiagramsaswerenecessaryformypurpose;forofcourse,inourcountryofFlatland,therearenotabletsbutLines,andnodiagramsbutLines,allinonestraightLineandonlydistinguishablebydifferenceofsizeandbrightness;
sothat,whenIhadfinishedmytreatise(whichIentitled,"ThroughFlatlandtoThoughtland")Icouldnotfeelcertainthatmanywouldunderstandmymeaning。
Meanwhilemylifewasunderacloud。Allpleasurespalleduponme;
allsightstantalizedandtemptedmetooutspokentreason,becauseIcouldnotbutcomparewhatIsawinTwoDimensionswithwhatitreallywasifseeninThree,andcouldhardlyrefrainfrommakingmycomparisonsaloud。IneglectedmyclientsandmyownbusinesstogivemyselftothecontemplationofthemysterieswhichIhadoncebeheld,yetwhichIcouldimparttonoone,andfounddailymoredifficulttoreproduceevenbeforemyownmentalvision。
Oneday,aboutelevenmonthsaftermyreturnfromSpaceland,ItriedtoseeaCubewithmyeyeclosed,butfailed;
andthoughIsucceededafterwards,Iwasnotthenquitecertain(norhaveIbeeneverafterwards)thatIhadexactlyrealizedtheoriginal。Thismadememoremelancholythanbefore,anddeterminedmetotakesomestep;yetwhat,Iknewnot。
IfeltthatIwouldhavebeenwillingtosacrificemylifefortheCause,iftherebyIcouldhaveproducedconviction。
ButifIcouldnotconvincemyGrandson,howcouldIconvincethehighestandmostdevelopedCirclesintheland?
Andyetattimesmyspiritwastoostrongforme,andIgaveventtodangerousutterances。AlreadyIwasconsideredheterodoxifnottreasonable,andIwaskeenlyalivetothedangerofmyposition;neverthelessIcouldnotattimesrefrainfromburstingoutintosuspiciousorhalf-seditiousutterances,evenamongthehighestPolygonalandCircularsociety。When,forexample,thequestionaroseaboutthetreatmentofthoselunaticswhosaidthattheyhadreceivedthepowerofseeingtheinsidesofthings,IwouldquotethesayingofanancientCircle,whodeclaredthatprophetsandinspiredpeoplearealwaysconsideredbythemajoritytobemad;andIcouldnothelpoccasionallydroppingsuchexpressionsas"theeyethatdiscernstheinteriorsofthings",and"theall-seeingland";onceortwiceIevenletfalltheforbiddenterms"theThirdandFourthDimensions"。Atlast,tocompleteaseriesofminorindiscretions,atameetingofourLocalSpeculativeSocietyheldatthepalaceofthePrefecthimself,——someextremelysillypersonhavingreadanelaboratepaperexhibitingtheprecisereasonswhyProvidencehaslimitedthenumberofDimensionstoTwo,andwhytheattributeofomnividenceisassignedtotheSupremealone——IsofarforgotmyselfastogiveanexactaccountofthewholeofmyvoyagewiththeSphereintoSpace,andtotheAssemblyHallinourMetropolis,andthentoSpaceagain,andofmyreturnhome,andofeverythingthatIhadseenandheardinfactorvision。Atfirst,indeed,IpretendedthatIwasdescribingtheimaginaryexperiencesofafictitiousperson;
butmyenthusiasmsoonforcedmetothrowoffalldisguise,andfinally,inaferventperoration,IexhortedallmyhearerstodivestthemselvesofprejudiceandtobecomebelieversintheThirdDimension。
NeedIsaythatIwasatoncearrestedandtakenbeforetheCouncil?
Nextmorning,standingintheveryplacewherebutaveryfewmonthsagotheSpherehadstoodinmycompany,Iwasallowedtobeginandtocontinuemynarrationunquestionedanduninterrupted。
ButfromthefirstIforesawmyfate;forthePresident,notingthataguardofthebettersortofPolicemenwasinattendance,ofangularitylittle,ifatall,under55degrees,orderedthemtoberelievedbeforeIbeganmydefence,byaninferiorclassof2or3degrees。Iknewonlytoowellwhatthatmeant。
Iwastobeexecutedorimprisoned,andmystorywastobekeptsecretfromtheworldbythesimultaneousdestructionoftheofficialswhohadheardit;and,thisbeingthecase,thePresidentdesiredtosubstitutethecheaperforthemoreexpensivevictims。
AfterIhadconcludedmydefence,thePresident,perhapsperceivingthatsomeofthejuniorCircleshadbeenmovedbymyevidentearnestness,askedmetwoquestions:——
1。WhetherIcouldindicatethedirectionwhichImeantwhenIusedthewords"Upward,notNorthward"?
2。WhetherIcouldbyanydiagramsordescriptions(otherthantheenumerationofimaginarysidesandangles)indicatetheFigureIwaspleasedtocallaCube?
IdeclaredthatIcouldsaynothingmore,andthatImustcommitmyselftotheTruth,whosecausewouldsurelyprevailintheend。
ThePresidentrepliedthathequiteconcurredinmysentiment,andthatIcouldnotdobetter。Imustbesentencedtoperpetualimprisonment;butiftheTruthintendedthatIshouldemergefromprisonandevangelizetheworld,theTruthmightbetrustedtobringthatresulttopass。MeanwhileIshouldbesubjectedtonodiscomfortthatwasnotnecessarytoprecludeescape,and,unlessIforfeitedtheprivilegebymisconduct,Ishouldbeoccasionallypermittedtoseemybrotherwhohadprecededmetomyprison。
SevenyearshaveelapsedandIamstillaprisoner,and——ifIexcepttheoccasionalvisitsofmybrother——
debarredfromallcompanionshipsavethatofmyjailers。
MybrotherisoneofthebestofSquares,just,sensible,cheerful,andnotwithoutfraternalaffection;yetIconfessthatmyweeklyinterviews,atleastinonerespect,causemethebitterestpain。HewaspresentwhentheSpheremanifestedhimselfintheCouncilChamber;hesawtheSphere’schangingsections;
heheardtheexplanationofthephenomenathengiventotheCircles。
Sincethattime,scarcelyaweekhaspassedduringsevenwholeyears,withouthishearingfrommearepetitionofthepartIplayedinthatmanifestation,togetherwithampledescriptionsofallthephenomenainSpaceland,andtheargumentsfortheexistenceofSolidthingsderivablefromAnalogy。Yet——Itakeshametobeforcedtoconfessit——mybrotherhasnotyetgraspedthenatureoftheThirdDimension,andfranklyavowshisdisbeliefintheexistenceofaSphere。
HenceIamabsolutelydestituteofconverts,and,foraughtthatIcansee,themillennialRevelationhasbeenmadetomefornothing。
PrometheusupinSpacelandwasboundforbringingdownfireformortals,butI——poorFlatlandPrometheus——liehereinprisonforbringingdownnothingtomycountrymen。YetIexistinthehopethatthesememoirs,insomemanner,Iknownothow,mayfindtheirwaytothemindsofhumanityinSomeDimension,andmaystiruparaceofrebelswhoshallrefusetobeconfinedtolimitedDimensionality。
Thatisthehopeofmybrightermoments。Alas,itisnotalwaysso。
HeavilyweighsonmeattimestheburdensomereflectionthatIcannothonestlysayIamconfidentastotheexactshapeoftheonce-seen,oft-regrettedCube;andinmynightlyvisionsthemysteriousprecept,"Upward,notNorthward",hauntsmelikeasoul-devouringSphinx。
ItispartofthemartyrdomwhichIendureforthecauseoftheTruththatthereareseasonsofmentalweakness,whenCubesandSpheresflitawayintothebackgroundofscarce-possibleexistences;
whentheLandofThreeDimensionsseemsalmostasvisionaryastheLandofOneorNone;nay,wheneventhishardwallthatbarsmefrommyfreedom,theseverytabletsonwhichIamwriting,andallthesubstantialrealitiesofFlatlanditself,appearnobetterthantheoffspringofadiseasedimagination,orthebaselessfabricofadream。
THEENDofFLATLAND