Klein bottle

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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.

[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]
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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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.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 end
surface - 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"
References in periodicals archive ?
This report concentrates on the automorphism group of a map, which is related to the automorphism groups of a Klein surface and a Smarandache manifold, also applied to the enumeration of unrooted maps on orientable and non-orientable surfaces.
Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces; proceedings
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