Möbius strip

Möbius strip
a continuous, one-sided surface formed by twisting one end of a rectangular strip through 180° about the longitudinal axis of the strip and attaching this end to the other. Also called Möbius band.
[1900-05; named after A. F. MÖBIUS]

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      a one-sided surface that can be constructed by affixing the ends of a rectangular strip after first having given one of the ends a one-half twist. This space exhibits interesting properties, such as having only one side and remaining in one piece when split down the middle. The properties of the strip were discovered independently and almost simultaneously by two German mathematicians, August Ferdinand Möbius and Johann Benedict Listing, in 1858. See also Klein bottle.

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Universalium. 2010.

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Look at other dictionaries:

  • Möbius strip — [mā′bē əs, mō′bē əs] n. [after A. F. Möbius (1790 1868), Ger mathematician] a one edged geometric surface with only one continuous side, formed by giving a 180° twist to a narrow, rectangular strip of paper and then connecting the two ends… …   English World dictionary

  • Mobius strip — one sided object, 1904, see MOBIUS (Cf. Mobius) …   Etymology dictionary

  • Möbius strip — ► NOUN ▪ a surface with one continuous side formed by joining the ends of a rectangle after twisting one end through 180°. ORIGIN named after the German mathematician August F. Möbius …   English terms dictionary

  • Mobius strip — M[ o] bi*us strip , n. [From August F. M[ o]bius, German mathematician.] A mathematical object, or a physical representation of it, which is a two dimensional sheet with only one surface. It is constructed or visualized as a rectangle, one end of …   The Collaborative International Dictionary of English

  • Möbius strip — This article is about the mathematical object. For musical group, see Mobius Band (band). A Möbius strip made with a piece of paper and tape. If an ant were to crawl along the length of this strip, it would return to its starting point having… …   Wikipedia

  • Mobius Strip —    Named after its inventor August Mobius, a German mathematician. This is a piece of paper with only one side. To make one, cut a strip of paper about six inches long and one half inch wide. Lay it flat on a table top and hold one end down.… …   The writer's dictionary of science fiction, fantasy, horror and mythology

  • möbius strip — /ˈmɜbiəs strɪp/ (say merbeeuhs strip), /ˈmoʊbiəs/ (say mohbeeuhs) noun a continuous one sided surface, as formed by half twisting a strip, as of paper or cloth, and joining the ends. Also, moebius strip, mobius strip. {named after August… …  

  • Möbius strip — noun /ˈməʊ.biː.əs stɹɪp/ a) A one sided surface formed by identifying two opposite edges of a square in opposite senses. b) A narrow strip given a half twist and joined at the ends, forming a three dimensional embedding of the above. Syn: Möbius… …   Wiktionary

  • Möbius strip — noun Etymology: August F. Möbius died 1868 German mathematician Date: 1904 a one sided surface that is constructed from a rectangle by holding one end fixed, rotating the opposite end through 180 degrees, and joining it to the first end …   New Collegiate Dictionary

  • Möbius strip —  (or band). A piece of paper or other material twisted in such a way as to form a continuous surface; named after its discoverer, German mathematician August Möbius (1790–1868) …   Bryson’s dictionary for writers and editors

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