Klein bottle
English
![](../I/m/Klein_bottle.svg.png)
A Klein bottle immersed in three-dimensional space.
Etymology
Named after German mathematician Felix Klein (1849-1925) who first described such a surface in 1882. Bottle seems to have come from a misreading or mistranslation of German Fläche (“surface”) as Flasche (“bottle”).
Noun
Klein bottle (plural Klein bottles)
- (mathematics) The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.
Translations
closed surface
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