Möbius strip

plural Möbius strips · alternative Mobius strip · alternative Moebius strip

1. mathematicsA one-sided surface formed by identifying two opposite edges of a square in opposite senses;

   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.

   3 more examples

   Like a mind moving on a Möbius strip of events, one's consciousness goes over the same territory again and again without ever becoming aware of the nature of awareness.

   1981, William Irwin Thompson, The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture, page 8

   A geometrical model of electron (positron) structure is presented based upon an object of two linked loops obtained by cutting a Möbius strip asymmetrically.

   1992, Speculations in Science and Technology, Volume 15, Elsevier Sequoia, page 221

   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.

   2013 November 16, Patrick McGuinness, “Who's afraid of Marcel Proust?”, in The Daily Telegraph (Review), page R20

2. 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.
   1. mathematicsa narrow strip given a half twist and joined at the ends, forming a three-dimensional embedding of said surface.

      Synonyms: Möbius band, Möbius loop, twisted cylinder