Flatland: A Romance of Many DimensionsAbbott, Edwin Abbott
Science
Flatland: A Romance of Many Dimensions
Abbott, Edwin Abbott
Fourth dimension
Thinking that it was time to bring down the Monarch from his raptures
to the level of common sense, I determined to endeavour to open up to
him some glimpses of the truth, that is to say of the nature of things
in Flatland. So I began thus: “How does your Royal Highness distinguish
the shapes and positions of his subjects? I for my part noticed by the
sense of sight, before I entered your Kingdom, that some of your people
are lines and others Points; and that some of the lines are larger—”
“You speak of an impossibility,” interrupted the King; “you must have
seen a vision; for to detect the difference between a Line and a Point
by the sense of sight is, as every one knows, in the nature of things,
impossible; but it can be detected by the sense of hearing, and by the
same means my shape can be exactly ascertained. Behold me—I am a Line,
the longest in Lineland, over six inches of Space—” “Of Length,” I
ventured to suggest. “Fool,” said he, “Space is Length. Interrupt me
again, and I have done.”
I apologized; but he continued scornfully, “Since you are impervious to
argument, you shall hear with your ears how by means of my two voices I
reveal my shape to my Wives, who are at this moment six thousand miles
seventy yards two feet eight inches away, the one to the North, the
other to the South. Listen, I call to them.”
He chirruped, and then complacently continued: “My wives at this moment
receiving the sound of one of my voice, closely followed by the other,
and perceiving that the latter reaches them after an interval in which
sound can traverse 6.457 inches, infer that one of my mouths is 6.457
inches further from them than the other, and accordingly know my shape
to be 6.457 inches. But you will of course understand that my wives do
not make this calculation every time they hear my two voices. They made
it, once for all, before we were married. But they _could_ make it at
any time. And in the same way I can estimate the shape of any of my
Male subjects by the sense of sound.”
“But how,” said I, “if a Man feigns a Woman’s voice with one of his two
voices, or so disguises his Southern voice that it cannot be recognized
as the echo of the Northern? May not such deceptions cause great
inconvenience? And have you no means of checking frauds of this kind by
commanding your neighbouring subjects to feel one another?” This of
course was a very stupid question, for feeling could not have answered
the purpose; but I asked with the view of irritating the Monarch, and I
succeeded perfectly.
Public-domain text, read in full here on John Shaqi.
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