Klein bottle

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A Klein bottle, in 3D only

The Klein bottle is a strange surface. It does not have inside or outside, because it has only one surface. The original idea of a Klein bottle is located in a 4-dimensional space, and does not touch itself. The bottle is named after the German mathematician Felix Klein. He described it in 1882, and named it Klein'sche Fläche (Klein surface).

The 2-dimensional version of a Klein bottle is a Möbius strip.

[change] Making a Klein bottle from a rectangle

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Wikimedia Commons has images, video, and/or sound related to:

Surfaces

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