No-one in Flatland has any notion of a third dimension everything is
"Infinitely-sided" circles form the highest cast consisting of priests, and straight lines the lowest, consisting of - who else? - women. In Flatland, the more sides you've got, the higher up the social scale you are. It still is one of the best introductions to a mathematical world of higher dimensions, and it's an amazingly imaginative social satire, too.įlatland is set in a flat land: the two-dimensional plane inhabited by straight lines, polygons and circles. Abbott wrote this beautiful tale over a hundred years ago under the pseudonym A Square. Flatland: a romance of many dimensions by Edwin Abbott Abbott
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