If you've ever tried to imagine a "fourth" (or even higher) dimension, this little gem is for you. Square is an inhabitant of an infinite flat plane (hence the title of the book) whose inhabitants, flat shapes, are totally unaware of the existence of a third "upward" dimension completely different from their north-south and east-west ones. Sphere, from our world, views Flatlanders as ignorant, and tries to show Square the delights of higher dimensions, as well as showing him the "squalor" of his lower dimensional "lineland" and "pointland" cousins... There is a delightful class system which ranks flatlanders according to how many sides they have (circles are regarded as the highest class of clergymen) but all women are straight lines, indicating the somewhat Victorian outlook of the author. Also interesting is Sphere's hypocritical reluctance to accept a fourth dimension, as Square refused to accept a third. Charming and simple, this book really makes you think about the nature of space itself (not an easy task!)
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