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 life was under a cloud. All pleasures palled upon me; all
sights tantalized and tempted me to outspoken treason, because I could
not but 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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