第4章

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