Flatland: A Romance of Many DimensionsAbbott, Edwin Abbott
Science
Flatland: A Romance of Many Dimensions
Abbott, Edwin Abbott
Fourth dimension
Raising his voice, he now summoned the guard. “Arrest the policemen; gag
them. You know your duty.” After he had consigned to their fate the
wretched policemen—ill-fated and unwilling witnesses of a State-secret
which they were not to be permitted to reveal—he again addressed the
Counsellors. “My Lords, the business of the Council being concluded, I
have only to wish you a happy New Year.” Before departing, he expressed,
at some length, to the Clerk, my excellent but most unfortunate brother,
his sincere regret that, in accordance with precedent and for the sake of
secrecy, he must condemn him to perpetual imprisonment, but added his
satisfaction that, unless some mention were made by him of that day’s
incident, his life would be spared.
§ 19.—_How, though the Sphere showed me other mysteries of Spaceland, I
still desired more; and what came of it._
When I saw my poor brother led away to imprisonment, I attempted to leap
down into the Council Chamber, desiring to intercede on his behalf, or at
least bid him farewell. But I found that I had no motion of my own. I
absolutely depended on the volition of my Guide, who said in gloomy
tones, “Heed not thy brother; haply thou shalt have ample time hereafter
to condole with him. Follow me.”
[Illustration: ]
Once more we ascended into space. “Hitherto,” said the Sphere, “I have
shown you naught save Plane Figures and their interiors. Now I must
introduce you to Solids, and reveal to you the plan upon which they are
constructed. Behold this multitude of moveable square cards. See, I put
one on another, not, as you supposed, Northward of the other, but _on_
the other. Now a second, now a third. See, I am building up a Solid by a
multitude of Squares parallel to one another. Now the Solid is complete,
being as high as it is long and broad, and we call it a Cube.”
“Pardon me, my Lord,” replied I; “but to my eye the appearance is as of
an Irregular Figure whose inside is laid open to the view; in other
words, methinks I see no Solid, but a Plane such as we infer in Flatland;
only of an Irregularity which betokens some monstrous criminal, so that
the very sight of it is painful to my eyes.”
“True,” said the Sphere; “it appears to you a Plane, because you are not
accustomed to light and shade and perspective; just as in Flatland a
Hexagon would appear a Straight Line to one who has not the Art of Sight
Recognition. But in reality it is a Solid, as you shall learn by the
sense of Feeling.”
He then introduced me to the Cube, and I found that this marvellous Being
was indeed no Plane, but a Solid; and that he was endowed with six plane
sides and eight terminal points called solid angles; and I remembered the
saying of the Sphere that just such a Creature as this would be formed by
a Square moving, in Space, parallel to himself: and I rejoiced to think
that so insignificant a Creature as I could in some sense be called the
Progenitor of so illustrious an offspring.
Public-domain text, read in full here on John Shaqi.
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