Klein bottle, illustration

Bildnummer 12587990
Klein bottle, illustration
Three visual representations of a Klein bottle. A Klein bottle is a two dimensional manifold which can only exist in four dimensions. The 19th century German mathematician Felix Klein conceived of a bottle formed by connecting two Mobius loops together to form a single side without boundaries – there is no inside or outside - and this can only be realized in four dimensions. The manifold can be described with a set of parametric equations.
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Credit: Science Photo Library / Brook, Robert
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