Klein bottle

Klein bottle

Klein bottle

n. 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.

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[After Felix Klein (1849-1925), German mathematician.]

Klein bottle

(klaɪn) n (Mathematics) maths a surface formed by inserting the smaller end of an open tapered tube through the surface of the tube and making this end contiguous with the other end[named after Felix Klein (1849–1925), German mathematician]

Klein′ bot`tle

(klaɪn)
n. 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. [1940–45; after Felix Klein (1849–1925), German mathematician]

Klein bottle

Klein bottle

(klīn) A theoretical surface in topology that has no inside or outside. It can be pictured in ordinary space as a tube that bends back upon itself, entering through the side and joining with the open end. A true Klein bottle would not actually intersect itself. Compare Möbius strip.

Thesaurus

Noun

1.

Klein bottle - 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 endsurface - the outer boundary of an artifact or a material layer constituting or resembling such a boundary; "there is a special cleaner for these surfaces"; "the cloth had a pattern of red dots on a white surface"