Klein bottle

English
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)

  1. (mathematics) The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.

Translations
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