He　then　introduced　me　to　the　Cube；　and　I　found　that　this　marvellous　Being　was　indeed　no　Plane；　but　a　Solid；　and　that　he　was　endowed　with　six　plane　sides　and　eight　terminal　points　called　solid　angles；　and　I　remembered　the　saying　of　the　Sphere　that　just　such　a　Creature　as　this　would　be　formed　by　a　Square　moving；　in　Space；　parallel　to　himself：　　and　I　rejoiced　to　think　that　so　insignificant　a　Creature　as　I　could　in　some　sense　be　called　the　Progenitor　of　so　illustrious　an　offspring。
  But　still　I　could　not　fully　understand　the　meaning　of　what　my　Teacher　had　told　me　concerning　〃light〃　and　〃shade〃　and　〃perspective〃；　and　I　did　not　hesitate　to　put　my　difficulties　before　him。
  Were　I　to　give　the　Sphere's　explanation　of　these　matters；　succinct　and　clear　though　it　was；　it　would　be　tedious　to　an　inhabitant　of　Space；　who　knows　these　things　already。　　Suffice　it；　that　by　his　lucid　statements；　and　by　changing　the　position　of　objects　and　lights；　and　by　allowing　me　to　feel　the　several　objects　and　even　his　own　sacred　Person；　he　at　last　made　all　things　clear　to　me；　so　that　I　could　now　readily　distinguish　between　a　Circle　and　a　Sphere；　a　Plane　Figure　and　a　Solid。
  This　was　the　Climax；　the　Paradise；　of　my　strange　eventful　History。　Henceforth　I　have　to　relate　the　story　of　my　miserable　Fall：　　most　miserable；　yet　surely　most　undeserved！　　For　why　should　the　thirst　for　knowledge　be　aroused；　only　to　be　disappointed　and　punished？　My　volition　shrinks　from　the　painful　task　of　recalling　my　humiliation；　yet；　like　a　second　Prometheus；　I　will　endure　this　and　worse；　if　by　any　means　I　may　arouse　in　the　interiors　of　Plane　and　Solid　Humanity　a　spirit　of　rebellion　against　the　Conceit　which　would　limit　our　Dimensions　to　Two　or　Three　or　any　number　short　of　Infinity。　Away　then　with　all　personal　considerations！　　Let　me　continue　to　the　end；　as　I　began；　without　further　digressions　or　anticipations；　pursuing　the　plain　path　of　dispassionate　History。　　The　exact　facts；　the　exact　words；　　and　they　are　burnt　in　upon　my　brain；　　shall　be　set　down　without　alteration　of　an　iota；　and　let　my　Readers　judge　between　me　and　Destiny。
  The　Sphere　would　willingly　have　continued　his　lessons　by　indoctrinating　me　in　the　conformation　of　all　regular　Solids；　Cylinders；　Cones；　Pyramids；　Pentahedrons；　Hexahedrons；　Dodecahedrons；　and　Spheres：　　but　I　ventured　to　interrupt　him。　　Not　that　I　was　wearied　of　knowledge。　　On　the　contrary；　I　thirsted　for　yet　deeper　and　fuller　draughts　than　he　was　offering　to　me。
  〃Pardon　me；〃　said　I；　〃O　Thou　Whom　I　must　no　longer　address　as　the　Perfection　of　all　Beauty；　but　let　me　beg　thee　to　vouchsafe　thy　servant　a　sight　of　thine　interior。〃
  SPHERE。　　My　what？
  I。　　Thine　interior：　　thy　stomach；　thy　intestines。
  SPHERE。　　Whence　this　ill…timed　impertinent　request？　　And　what　mean　you　by　saying　that　I　am　no　longer　the　Perfection　of　all　Beauty？
  I。　　My　Lord；　your　own　wisdom　has　taught　me　to　aspire　to　One　even　more　great；　more　beautiful；　and　more　closely　approximate　to　Perfection　than　yourself。　　As　you　yourself；　superior　to　all　Flatland　forms；　combine　many　Circles　in　One；　so　doubtless　there　is　One　above　you　who　combines　many　Spheres　in　One　Supreme　Existence；　surpassing　even　the　Solids　of　Spaceland。　　And　even　as　we；　who　are　now　in　Space；　look　down　on　Flatland　and　see　the　insides　of　all　things；　so　of　a　certainty　there　is　yet　above　us　some　higher；　purer　region；　whither　thou　dost　surely　purpose　to　lead　me　　O　Thou　Whom　I　shall　always　call；　everywhere　and　in　all　Dimensions；　my　Priest；　Philosopher；　and　Friend　　some　yet　more　spacious　Space；　some　more　dimensionable　Dimensionality；　from　the　vantage…ground　of　which　we　shall　look　down　together　upon　the　revealed　insides　of　Solid　things；　and　where　thine　own　intestines；　and　those　of　thy　kindred　Spheres；　will　lie　exposed　to　the　view　of　the　poor　wandering　exile　from　Flatland；　to　whom　so　much　has　already　been　vouchsafed。
  SPHERE。　　Pooh！　　Stuff！　　Enough　of　this　trifling！　　The　time　is　short；　and　much　remains　to　be　done　before　you　are　fit　to　proclaim　the　Gospel　of　Three　Dimensions　to　your　blind　benighted　countrymen　in　Flatland。
  I。　　Nay；　gracious　Teacher；　deny　me　not　what　I　know　it　is　in　thy　power　to　perform。　　Grant　me　but　one　glimpse　of　thine　interior；　and　I　am　satisfied　for　ever；　remaining　henceforth　thy　docile　pupil；　thy　unemancipable　slave；　ready　to　receive　all　thy　teachings　and　to　feed　upon　the　words　that　fall　from　thy　lips。
  SPHERE。　　Well；　then；　to　content　and　silence　you；　let　me　say　at　once；　I　would　shew　you　what　you　wish　if　I　could；　but　I　cannot。　Would　you　have　me　turn　my　stomach　inside　out　to　oblige　you？
  I。　　But　my　Lord　has　shewn　me　the　intestines　of　all　my　countrymen　in　the　Land　of　Two　Dimensions　by　taking　me　with　him　into　the　Land　of　Three。　　What　therefore　more　easy　than　now　to　take　his　servant　on　a　second　journey　into　the　blessed　region　of　the　Fourth　Dimension；　where　I　shall　look　down　with　him　once　more　upon　this　land　of　Three　Dimensions；　and　see　the　inside　of　every　three…dimensioned　house；　the　secrets　of　the　solid　earth；　the　treasures　of　the　mines　in　Spaceland；　and　the　intestines　of　every　solid　living　creature；　even　of　the　noble　and　adorable　Spheres。
  SPHERE。　　But　where　is　this　land　of　Four　Dimensions？
  I。　　I　know　not：　　but　doubtless　my　Teacher　knows。
  SPHERE。　　Not　I。　　There　is　no　such　land。　　The　very　idea　of　it　is　utterly　inconceivable。
  I。　　Not　inconceivable；　my　Lord；　to　me；　and　therefore　still　less　inconceivable　to　my　Master。　　Nay；　I　despair　not　that；　even　here；　in　this　region　of　Three　Dimensions；　your　Lordship's　art　may　make　the　Fourth　Dimension　visible　to　me；　just　as　in　the　Land　of　Two　Dimensions　my　Teacher's　skill　would　fain　have　opened　the　eyes　of　his　blind　servant　to　the　invisible　presence　of　a　Third　Dimension；　though　I　saw　it　not。
  Let　me　recall　the　past。　　Was　I　not　taught　below　that　when　I　saw　a　Line　and　inferred　a　Plane；　I　in　reality　saw　a　Third　unrecognized　Dimension；　not　the　same　as　brightness；　called　〃height〃？　　And　does　it　not　now　follow　that；　in　this　region；　when　I　see　a　Plane　and　infer　a　Solid；　I　really　see　a　Fourth　unrecognized　Dimension；　not　the　same　as　colour；　but　existent；　though　infinitesimal　and　incapable　of　measurement？
  And　besides　this；　there　is　the　Argument　from　Analogy　of　Figures。
  SPHERE。　　Analogy！　　Nonsense：　　what　analogy？
  I。　　Your　Lordship　tempts　his　servant　to　see　whether　he　remembers　the　revelations　imparted　to　him。　　Trifle　not　with　me；　my　Lord；　I　crave；　I　thirst；　for　more　knowledge。　　Doubtless　we　cannot　SEE　that　other　higher　Spaceland　now；　because　we　we　have　no　eye　in　our　stomachs。　　But；　just　as　there　WAS　the　realm　of　Flatland；　though　that　poor　puny　Lineland　Monarch　could　neither　turn　to　left　nor　right　to　discern　it；　and　just　as　there　WAS　close　at　hand；　and　touching　my　frame；　the　land　of　Three　Dimensions；　though　I；　blind　senseless　wretch；　had　no　power　to　touch　it；　no　eye　in　my　interior　to　discern　it；　so　of　a　surety　there　is　a　Fourth　Dimension；　which　my　Lord　perceives　with　the　inner　eye　of　thought。　　And　that　it　must　exist　my　Lord　himself　has　taught　me。　Or　can　he　have　forgotten　what　he　himself　imparted　to　his　servant？
  In　One　Dimension；　did　not　a　moving　Point　produce　a　Line　with　TWO　terminal　points？
  In　Two　Dimensions；　did　not　a　moving　Line　produce　a　Square　with　FOUR　terminal　points？
  In　Three　Dimensions；　did　not　a　moving　Square　produce　　did　not　this　eye　of　mine　behold　it　　that　blessed　Being；　a　Cube；　with　EIGHT　terminal　points？
  And　in　Four　Dimensions　shall　not　a　moving　Cube　　alas；　for　Analogy；　and　alas　for　the　Progress　of　Truth；　if　it　be　not　so　　shall　not；　I　say；　the　motion　of　a　divine　Cube　result　in　a　still　more　divine　Organization　with　SIXTEEN　terminal　points？
  Behold　the　infallible　confirmation　of　the　Series；　2；　4；　8；　16：　is　not　this　a　Geometrical　Progression？　　Is　not　this　　if　I　might　quote　my　Lord's　own　words　　〃strictly　according　to　Analogy〃？
  Again；　was　I　not　taught　by　my　Lord　that　as　in　a　Line　there　are　TWO　bounding　Points；　and　in　a　Square　there　are　FOUR　bounding　Lines；　so　in　a　Cube　there　must　be　SIX　bounding　Squares？　Behold　once　more　the　confirming　Series；　2；　4；　6：　　is　not　this　an　Arithmetical　Progression？　　And　consequently　does　it　not　of　necessity　follow　that　the　more　divine　offspring　of　the　divine　Cube　in　the　Land　of　Four　Dimensions；　must　have　8　bounding　Cubes：　and　is　not　this　also；　as　my　Lord　has　taught　me　to　believe；　〃strictly　according　to　Analogy〃？
  O；　my　Lord；　my　Lord；　behold；　I　cast　myself　in　faith　upon　conjecture；　not　knowing　the　facts；　and　I　appeal　to　your　Lordship　to　confirm　or　deny　my　logical　anticipations。　　If　I　am　wrong；　I　yield；　and　will　no　longer　demand　a　fourth　Dimension；　but；　if　I　am　right；　my　Lord　will　listen　to　reason。
  I　ask　therefore；　is　it；　or　is　it　not；　the　fact；　that　ere　now　your　countrymen　also　have　witnessed　the　descent　of　Beings　of　a　higher　order　than　their　own；　entering　closed　rooms；　even　as　your　Lordship　entered　mine；　without　the　opening　of　doors　or　windows；　and　appearing　and　vanishing　at　will？　　On　the　reply　to　this　question　I　am　ready　to　stake　everything。　　Deny　it；　and　I　am　henceforth　silent。　　Only　vouchsafe　an　answer。
  SPHERE。　　（AFTER　A　PAUSE）。　　It　is　reported　so。　　But　men　are　divided　in　opinion　as　to　the　facts。　　And　even　granting　the　facts；　they　explain　them　in　different　ways。　　And　in　any　case；　however　great　may　be　the　n