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In mathematics, a Möbius strip, Möbius band, or Möbius loop [a] 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 .
As with a Möbius strip, once the two distinct connections have been made, we can no longer identify which connection is "normal" and which is "reversed" – the lack of a global definition for charge becomes a feature of the global geometry. This behaviour is analogous to the way that a small piece of a Möbius strip allows a local distinction ...
If you perform any odd number of half-twists to a strip before gluing it back to itself, you get a Möbius strip, with a different embedding for each different number of half-twists (see the second paragraph of the lead). The umbilic torus has a boundary that, if you cut along the ridges, is a Möbius strip.
Johann Benedict Listing (25 July 1808 – 24 December 1882) was a German mathematician.. J. B. Listing was born in Frankfurt and died in Göttingen.He finished his studies at the University of Göttingen in 1834, and in 1839 he succeeded Wilhelm Weber as professor of physics.
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He is best known for his discovery of the Möbius strip, a non-orientable two-dimensional surface with only one side when embedded in three-dimensional Euclidean space. It was independently discovered by Johann Benedict Listing a few months earlier. [3] The Möbius configuration, formed by two mutually inscribed tetrahedra, is also named after him.
2005 saw the release of the Chinese movie Thru the Moebius Strip, based on a story by Giraud who also served as the production designer and the co-producer, and which reunited him with Arnie Wong, whereas his stint as concept designer on the 2012 animated science fiction movie Strange Frame, has become Giraud's final recorded motion picture ...
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