Flatland: a Romance of Many Dimensions

Cover Flatland: a Romance of Many Dimensions
Flatland: a Romance of Many Dimensions
Abbott, Edwin Abbott, 1838-1926
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What reading level is Flatland: a Romance of Many Dimensions book?
To quickly assess the difficulty of the text, read a short excerpt:

A straight Line.
Sphere. And a straight Line has how many extremities?
I. Two.
Sphere. Now conceive the Northward straight Line moving parallel toitself, East and West, so that every point in it leaves behind it thewake of a straight Line. What name will you give to the Figure therebyformed? We will suppose that it moves through a distance equal to theoriginal straight line. --What name, I say?
I. A square.
Sphere. And how many sides has a Square? How many angles?
I. Four sides and four angles.
...
Sphere. Now stretch your imagination a little, and conceive a Squarein Flatland, moving parallel to itself upward.
I. What? Northward?
Sphere. No, not Northward; upward; out of Flatland altogether.
If it moved Northward, the Southern points in the Square would have tomove through the positions previously occupied by the Northern points. But that is not my meaning.
I mean that every Point in you--for you are a Square and will serve thepurpose of my illustration--every Point in you, that is to say in whatyou call your inside, is to pass upwards through Space in such a waythat no Point shall pass through the position previously occupied byany other Point; but each Point shall describe a straight Line of itsown.


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