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of all the phenomena in Spaceland�察�and the arguments for the existence of 

Solid   things   derivable   from Analogy。   YetI   take   shame   to   be   forced   to 

confess it my brother has not yet grasped the nature of Three Dimensions�察�

and frankly avows his disbelief in the existence of a Sphere。 



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     Hence I am absolutely destitute of converts�察�and�察�for aught that I can 

see�察   �the   millennial     Revelation      has   been    made     to   me    for   nothing。 

Prometheus up in Spaceland was bound for bringing down fire for mortals�察�

but   Ipoor   Flatland     Prometheuslie   here   in   prison   for   bringing      down 

nothing to my countrymen。 Yet I existing the hope that these memoirs�察�in 

some     manner�察    �I  know    not   how�察   �may    find  their   way   to   the  minds    of 

humanity in Some Dimension�察�and may stir up a race of rebels who shall 

refuse to be confined to limited Dimensionality。 

     That   is   the   hope   of   my   brighter   moments。 Alas�察  �it   is   not   always   so。 

Heavily  weights   on   me   at   times   the   burdensome   reflection that   I   cannot 

honestly  say  I   am   confident   as   to the   exact   shape   of   the   once´seen�察  �oft´ 

regretted     Cube�察    �and   in   my    nightly    visions    the   mysterious      precept�察�

;Upward�察�not Northward�察─�haunts me like a soul´devouring Sphinx。 It is 

part of the martyrdom which I endure for the cause of Truth that there are 

seasons of mental weakness�察�when Cubes and Spheres flit away into the 

background        of   scarce´possible      existences�察   �when     the   Land     of  Three 

Dimensions seems almost as visionary as the Land of One or None�察�nay�察�

when even this hard wall that bars me from my freedom�察�these very tablets 

on which I am writing�察�and all the substantial realities of Flatland itself�察�

appear     no   better   than   the  offspring    of  a  diseased     imagination�察    �or  the 

baseless fabric of a dream。 

       *** 

       PREFACE TO THE SECOND AND REVISED EDITION�察�1884。 BY 

THE EDITOR 

       If   my   poor   Flatland   friend   retained   the   vigour   of   mind   which   he 

enjoyed when he began to compose these Memoirs�察�I should not now need 

to   represent   him  in   this preface�察  �in  which   he desires�察  �fully�察  �to   return   his 

thanks   to   his   readers   and   critics   in   Spaceland�察  �whose   appreciation   has�察�

with unexpected celerity�察�required a second edition of this work�察�secondly�察�

to apologize for certain errors and misprints ��for which�察�however�察�he is not 

entirely   responsible���察  �and�察  �thirdly�察  �to   explain   on   or   two   misconceptions。 

But he is not the Square he once was。 Years of imprisonment�察�and the still 

heavier   burden   of general   incredulity  and   mockery�察 �have   combined   with 



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the   thoughts   and   notions�察  �and   much   also   of   the   terminology�察  �which   he 

acquired during   his short   stay  in spaceland。   He has�察�therefore�察  �requested 

me to reply in his behalf to two special objections�察�one of an intellectual�察�

the other of a moral nature。 

     The first objection is�察�that a Flatlander�察�seeing a Line�察�sees something 

that must be THICK to the eye as well as LONG to the eye ��otherwise it 

would not be visible�察�if it had not some thickness���察�and consequently he 

ought ��it is argued�� to acknowledge that his countrymen are not only long 

and broad�察�but also ��though doubtless to a very slight degree�� THICK or 

HIGH。 This objection is plausible�察�and�察�to Spacelanders�察�almost irresistible�察�

so that�察�I confess�察�when I first heard it�察�I knew not what to reply。 But my 

poor old friend's answer appears to me completely to meet it。 

     ;I admit�察─�said hewhen I mentioned to him this objection ;I admit 

the truth of your critic's facts�察�but I deny his conclusions。 It is true that we 

have   really   in   Flatland   a   Third   unrecognized   Dimension   called   `height��' 

just   as   it  also   is  true  that   you    have   really    in  Spaceland      a  Fourth 

unrecognized Dimension�察�called by no name at present�察�but which I will 

call   `extra´height。'   But   we   can   no   more   take   cognizance   of   our   `height' 

than you can of your `extra´height。' Even Iwho have been in Spaceland�察�

and   have   had   the   privilege   of   understanding   for   twenty´four   hours   the 

meaning of   `height'even   I cannot now  comprehend it�察�nor  realize it by 

the sense of sight or by any process of reason�察�I can but apprehend it by 

faith。 

     ;The      reason    is   obvious。     Dimension       implied     direction�察    �implies 

measurement�察       �implies    the   more    and   the   less。  Now�察   �all  our   lines   are 

EQUALLY and INFINITESIMALLY thick ��or high�察�whichever you like���察�

consequently�察�there is nothing in them to lead our minds to the conception 

of   that   Dimension。   No   `delicate   micrometer'as   has   been   suggested   by 

one too hasty Spaceland criticwould in the least avail us�察�for we should 

not know WHAT TO MEASURE�察�NOR IN WHAT DIRECTION。 When 

we     see    a   Line�察   �we    see    something      that   is   long    and    BRIGHT�察�

BRIGHTNESS�察�as well as length�察�is necessary to the existence of a Line�察�

if the brightness vanishes�察�the Line is extinguished。 Hence�察�all my Flatland 



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friendswhen I talk to them about the unrecognized Dimension which is 

somehow visible in a Linesay�察 �Ah�察�you mean BRIGHTNESS'�此�and when 

I reply�察 �No�察�I mean a real Dimension��' they at once retort�察 �Then measure 

it�察�or tell us in what direction it extends'�察�and this silences me�察�for I can do 

neither。 Only yesterday�察�when the Chief Circle ��in other words our High 

Priest��   came   to   inspect   the   State   Prison   and   paid   me   his   seventh   annual 

visit�察�and when for the seventh time he put me the question�察 �Was I any 

better��' I tried to prove to him that he was `high��' as well as long and broad�察�

although he did not know it。 But what was his reply�拭 �You say I am ;high;�察�

measure my  ;high´ness; and   I will believe you。' What could   I do�拭  �How 

could     I  meet    his   challenge�拭    �I  was    crushed�察    �and   he   left  the   room 

triumphant。 

     ;Does   this   still   seem   strange   to   you�拭  �Then   put   yourself   in   asimilar 

position。   Suppose   a   person   of   the   Fourth   Dimension�察  �condescending   to 

visit   you�察  �were   to   say�察   �Whenever   you   open   your   eyes�察  �you   see   a   Plane 

��which is of Two Dimensions�� and you INFER a Solid ��which is of Three���察�

but    in  reality   you   also   see   ��though    you   do   not   recognize��     a  Fourth 

Dimension�察�which is not colour nor brightness nor anything of the kind�察�

but a true Dimension�察�although I cannot point out to you its direction�察�nor 

can you possibly measure it。' What would you say to such a visitor�拭�Would 

not you have him locked up�拭�Well�察�that is my fate�此�and it is as natural for 

us Flatlanders to lock up a Square for preaching the Third Dimension�察�as it 

is for you Spacelanders to lock up a Cube for preaching the Fourth。 Alas�察�

how strong a family likeness runs through blind and persecuting humanity 

in all Dimensions� �Points�察�Lines�察�Squares�察�Cubes�察�Extra´Cubes we are all 

liable    to   the   same    errors�察   �all  alike   the   Slavers     of   our   respective 

Dimensional prejudices�察�as one of our Spaceland poets has said 

       `One touch of Nature makes all worlds akin。'; ��footnote 1�� 

       On    this   point   the   defence     of  the   Square     seems     to  me    to   be 

impregnable。 I wish I could say that his answer to the second ��or moral�� 

objection was equally clear and cogent。 It has been objected that he is a 

woman´hater�察�and as   this objection   has been vehemently  urged by  those 

whom   Nature's   decree   has   constituted   the   somewhat   larger   half   of   the 



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Spaceland race�察�I should like to remove it�察�so far as I can honestly do so。 

But the Square is so unaccustomed to the use of the moral terminology of 

Spaceland   that   I   should   be   doing   him   an   injustice   if   I   were   literally   to 

transcribe      his  defence     against     this  charge。     Acting�察   �therefore�察   �as   his 

interpreter and summarizer�察�I gather that in the course of an imprisonment 

of seven years he has himself modified his own personal views�察�both as 

regards Women and as regards the Isosceles or Lower Class

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