Möbius strip

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Möbius strip.
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Named after August Ferdinand Möbius (1790–1868), one of two German mathematicians—the other being Johann Benedict Listing (1808–1882)—who independently discovered the strip at the same time (1858).


  • (UK) IPA(key): /ˈməʊ.biː.əs stɹɪp/


Möbius strip (plural Möbius strips)

  1. (topology) A one-sided surface formed by identifying two opposite edges of a square in opposite senses;
    a narrow strip given a half twist and joined at the ends, forming a three-dimensional embedding of said surface.
    • 1991, Theoni Pappas, More Joy of Mathematics, Wide World Publishing, page 117,
      B. F. Goodrich Co. has a patent for a Möbius strip conveyor belt. It lasts longer since the wear and tear is spread uniformly over the entire surface.
    • 1992, Speculations in Science and Technology, Volume 15, Elsevier Sequoia, page 221,
      A geometrical model of electron (positron) structure is presented based upon an object of two linked loops obtained by cutting a Möbius strip asymmetrically.
    • 2013 November 16, Patrick McGuinness, “Who's afraid of Marcel Proust?”, in The Daily Telegraph (Review)[1], page R20:
      Proust's novel grew and deepened into over 3,000 pages of everything and nothing: a Möbius strip of profundity twisting into mundanity, mundanity twisting into profundity.


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