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In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by Johann Benedict Listing and August Ferdinand Möbius in 1858, but it had already appeared in Roman mosaics from the third century CE .
August Ferdinand Möbius (UK: / ˈ m ɜː b i ə s /, US: / ˈ m eɪ-, ˈ m oʊ-/; German: [ˈmøːbi̯ʊs]; 17 November 1790 – 26 September 1868) was a German mathematician and theoretical astronomer.
May 18, 2024 · Möbius strip, 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 Editors of Encyclopaedia Britannica
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Sep 25, 2018 · Learn how the discovery of the Möbius strip in 1858 by August Möbius sparked a new field of mathematics called topology. Explore the properties and implications of one-sided and nonorientable objects, such as the Möbius strip and enantiomers.
August Ferdinand Möbius (born November 17, 1790, Schulpforta, Saxony [Germany]—died September 26, 1868, Leipzig) was a German mathematician and theoretical astronomer who is best known for his work in analytic geometry and in topology.
5 days ago · The Möbius strip, also called the twisted cylinder (Henle 1994, p. 110), is a one-sided nonorientable surface obtained by cutting a closed band into a single strip, giving one of the two ends thus produced a half twist, and then reattaching the two ends (right figure; Gray 1997, pp. 322-323).