here. Pooh! Stuff! Enough of this trifling! The time is short,
and much remains to be done before you are fit to proclaim the Gospel
of Three Dimensions to your blind benighted countrymen in Flatland.
I. Nay, gracious Teacher, deny me not what I know it is in thy power
to reform. Grant me but one glimpse of thine interior, and I am
satisfied for ever, remaining henceforth thy docile pupil, thy
unemancipable slave, ready to receive all thy teachings and to feed upon
the words that fall from thy lips.
Sphere. Well, then, to content and silence you, let me say at once, I
would shew you what you wish if I could; but I cannot. Would you have
me turn my stomach inside out to oblige you?
I. But my Lord has shewn me the intestines of all my countrymen in the
Land of Two Dimensions by taking me with him into the Land of Three.
What therefore more easy than now to take his servant on a second
journey into the blessed region of the Fourth Dimension, where I shall
look down with him once more upon this land of Three Dimensions, and
see the inside of every three-dimensioned house, the secrets of the
solid earth, the treasures of the mines of Spaceland, and the
intestines of every solid living creature, even the noble and adorable
Spheres.
Sphere. But where is this land of Four Dimensions?
I. I know not: but doubtless my Teacher knows.
Sphere. Not I. There is no such land. The very idea of it is utterly
inconceivable.
I. Not inconceivable, my Lord, to me, and therefore still less
inconceivable to my Master. Nay, I despair not that, even here, in
this region of Three Dimensions, your Lordship's art may make the
Fourth Dimension visible to me; just as in the Land of Two Dimensions
my Teacher's skill would fain have opened the eyes of his blind servant
to the invisible presence of a Third Dimension, though I saw it not.
Let me recall the past. Was I not taught below that when I saw a Line
and inferred a Plane, I in reality saw a Third unrecognized Dimension,
not the same as brightness, called "height"? And does it not now
follow that, in this region, when I see a Plane and infer a Solid, I
really see a Fourth unrecognized Dimension, not the same as colour, but
existent, though infinitesimal and incapable of measurement?
And besides this, there is the Argument from Analogy of Figures.
Sphere. Analogy! Nonsense: what analogy?
I. Your Lordship tempts his servant to see whether he remembers the
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