Definitions for klein bottleklaɪn
Random House Webster's College Dictionary
a one-sided figure consisting of a tapered tube whose narrow end is bent back, run through the side of the tube, and flared to join the wide end.
Origin of Klein bottle:
1940–45; after Felix Klein (1849–1925), German mathematician
a closed surface with only one side; formed by passing one end of a tube through the side of the tube and joining it with the other end
The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.
Origin: Named after German mathematician (1849-1925) who first described such a surface in 1882. bottle seems to have come from a misreading or mistranslation of Fläche as .
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