What is Euclidean geometry, non euclidean geometry and any other types of geometry?
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Have you been reading H.P. Lovecraft by any chance? That’s where I heard of non-Euclidean geometry. The other commenters are right in their definitions. But Lovecraft mostly used it as a shorthand for “the place you are in doesn’t follow the same rules as us.” Some of the drawings of M.C. Escher would also qualify, like [Waterfall](https://m.media-amazon.com/images/I/51vLQyrzsQL._AC_.jpg). Even though it is easy to draw, this is an impossible way for the world to behave. If you read about non-Euclidean geometry in fiction, that’s the kind of weirdness they’re trying to convey
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