| 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 bottle (kl n) A smooth surface that has no inside or outside. It is often 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, which cannot be constructed in ordinary three-dimensional space, would not actually intersect itself. The Klein bottle is named after the German mathematician Felix Klein (1849-1925). Compare Mobius strip. |  |
ThesaurusLegend: Synonyms Related Words Antonyms
| 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 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" |
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