Klein bottle

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English[edit]

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A Klein bottle immersed in three-dimensional space.

Etymology[edit]

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[edit]

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[edit]