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Klein bottle

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Klein bottle

type of non-orientable surface

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About Klein bottle

In mathematics, the Klein bottle is an example of a surface with no distinct inside or outside. In other words, it is a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down. More formally, it is an example of a non-orientable surface, a two-dimensional manifold on which one cannot define a consistent direction perpendicular to the surface that varies continuously over the whole shape.

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Facts from Wikidata (CC0). Image via Wikimedia Commons (CC BY-SA 3.0).

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