第4章
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  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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  \\My\\/

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  W————E\\MyWife/Apartment/

  ——————-/\\——-\\WOMEN’SDOOR

  MEN’SDOOR\\MyDaughter/\\——==\\/TheScullionS\\MyGrandsons\\-==#\\/TheFootman\\________/\\-=#/TheButler\\THECELLAR\\/

  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

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