Flatland: A Romance of Many DimensionsAbbott, Edwin Abbott
Science
Flatland: A Romance of Many Dimensions
Abbott, Edwin Abbott
Fourth dimension
_Stranger._ Not so. Your roof, as you know very well, has been recently
repaired, and has no aperture by which even a Woman could penetrate. I
tell you I come from Space. Are you not convinced by what I have told you
of your children and household.
_I._ Your Lordship must be aware that such facts touching the belongings
of his humble servant might be easily ascertained by any one in the
neighbourhood possessing your Lordship’s ample means of obtaining
information.
_Stranger._ How shall I convince him? Surely a plain statement of facts
followed by ocular demonstration ought to suffice.—Now, Sir; listen to
me.
You are living on a Plane. What you style Flatland is the vast level
surface of what I may call a fluid, on, or in, the top of which you and
your countrymen move about, without rising above it or falling below it.
I am not a plane Figure, but a Solid. You call me a Circle; but in
reality I am not a Circle, but an infinite number of Circles, of size
varying from a Point to a Circle of thirteen inches in diameter, one
placed on the top of the other. When I cut through your plane as I am now
doing, I make in your plane a section which you, very rightly, call a
Circle. For even a Sphere—which is my proper name in my own country—if he
manifest himself at all to an inhabitant of Flatland—must needs manifest
himself as a Circle.
Do you not remember—for I, who see all things, discerned last night the
phantasmal vision of Lineland written upon your brain—do you not
remember, I say, how, when you entered the realm of Lineland, you were
compelled to manifest yourself to the King not as a Square, but as a
Line, because that Linear Realm had not Dimensions enough to represent
the whole of you, but only a slice or section of you? In precisely the
same way, your country of Two Dimensions is not spacious enough to
represent me, a being of Three, but can only exhibit a slice or section
of me, which is what you call a Circle.
The diminished brightness of your eye indicates incredulity. But now
prepare to receive proof positive of the truth of my assertions. You
cannot indeed see more than one of my sections, or Circles, at a time;
for you have no power to raise your eye out of the plane of Flatland; but
you can at least see that, as I rise in Space, so my section becomes
smaller. See now, I will rise; and the effect upon your eye will be that
my Circle will become smaller and smaller till it dwindles to a point and
finally vanishes.
[Illustration: ]
There was no “rising” that I could see; but he diminished and finally
vanished. I winked once or twice to make sure that I was not dreaming.
But it was no dream. For from the depths of nowhere came forth a hollow
voice—close to my heart it seemed—“Am I quite gone? Are you convinced
now? Well, now I will gradually return to Flatland, and you shall see my
section become larger and larger.”
Public-domain text, read in full here on John Shaqi.
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