Klein Bottle Definition

klīn

noun

A one-sided topological surface having no inside or outside. It is depicted in ordinary space by inserting the small open end of a tapered tube through the side of the tube and making it contiguous with the larger open end, although a true Klein bottle would not intersect itself.

American Heritage

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

Wiktionary

Other Word Forms of Klein Bottle

Noun

Singular:

Klein bottle

Plural:

klein-bottles

Origin of Klein Bottle

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").

From Wiktionary
After Felix Klein (1849–1925), German mathematician

From American Heritage Dictionary of the English Language, 5th Edition