Flatland: A Romance of Many DimensionsAbbott, Edwin Abbott
Science
Flatland: A Romance of Many Dimensions
Abbott, Edwin Abbott
Fourth dimension
So I devoted several months in privacy to the composition of a treatise
on the mysteries of Three Dimensions. Only, with the view of evading
the Law, if possible, I spoke not of a physical Dimension, but of a
Thoughtland whence, in theory, a Figure could look down upon Flatland
and see simultaneously the insides of all things, and where it was
possible that there might be supposed to exist a Figure environed, as
it were, with six Squares, and containing eight terminal Points. But in
writing this book I found myself sadly hampered by the impossibility of
drawing such diagrams as were necessary for my purpose: for of course,
in our country of Flatland, there are no tablets but Lines, and no
diagrams but Lines, all in one straight Line and only distinguishable
by difference of size and brightness; so that, when I had finished my
treatise (which I entitled, “Through Flatland to Thoughtland”) I could
not feel certain that many would understand my meaning.
Meanwhile my wife was under a cloud. All pleasures palled upon me; all
sights tantalized and tempted me to outspoken treason, because I could
not compare what I saw in Two Dimensions with what it really was if
seen in Three, and could hardly refrain from making my comparisons
aloud. I neglected my clients and my own business to give myself to the
contemplation of the mysteries which I had once beheld, yet which I
could impart to no one, and found daily more difficult to reproduce
even before my own mental vision. One day, about eleven months after my
return from Spaceland, I tried to see a Cube with my eye closed, but
failed; and though I succeeded afterwards, I was not then quite certain
(nor have I been ever afterwards) that I had exactly realized the
original. This made me more melancholy than before, and determined me
to take some step; yet what, I knew not. I felt that I would have been
willing to sacrifice my life for the Cause, if thereby I could have
produced conviction. But if I could not convince my Grandson, how could
I convince the highest and most developed Circles in the land?
Public-domain text, read in full here on John Shaqi.
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