"I had reached
the stage, you see, when I could imagine in a new dimension. I was able
to conceive the shape of that new figure which is intrinsically
different to all we know--the shape of the tessaract. I could perceive
in four dimensions. When, therefore, I looked at a cube I could see all
its sides at once. Its top was not foreshortened, nor its farther side
and base invisible. I saw the whole thing out flat, so to speak. And
this tessaract was bounded by cubes! Moreover, I also saw its
content--its insides."
"You were not yourself able to enter this new world," interrupted Dr.
Silence.
"Not then. I was only able to conceive intuitively what it was like and
how exactly it must look. Later, when I slipped in there and saw objects
in their entirety, unlimited by the paucity of our poor three
measurements, I very nearly lost my life. For, you see, space does not
stop at a single new dimension, a fourth. It extends in all possible new
ones, and we must conceive it as containing any number of new
dimensions.
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