Klein Bottle

Klein Bottle

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The Klein bottle, a non-orientable two-dimensional manifold, is a surface where left and right notions cannot be consistently defined. This mathematical concept was first described by German mathematician Felix Klein in 1882. It is related to other non-orientable objects like the Möbius strip and the real projective plane. Unlike the Möbius strip, which has a boundary, the Klein bottle is boundaryless (comparable to an orientable sphere with no boundary). The initial naming of "Kleinsche Fläche" was later misinterpreted as "Kleinsche Flasche," leading to the current German term for it. [From Wikipedia]

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