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.
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