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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 .
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 ...
The logo is usually displayed with the arrows circulating clockwise, but the underlying Möbius strip exists in two topologically distinct mirror-image forms of opposite handedness. The American Paper Institute originally promoted four different variants of the recycling symbol for different purposes.
A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.
Ernest created both reliefs and free standing constructions. Several of his works are held at Tate Britain , including the Moebius Strip sculpture. [ 3 ] He designed both a tower and a large wall relief at the International Union of Architects congress, South Bank, London, in 1961.
The arrows were planar, suggesting strips of paper, but they curved and bent back upon themselves as though captured in the midst of an industrial manufacturing process, [12] and the three arrows taken together as a continuous band formed the topological figure known as a Möbius strip. [2]
Actually this was the first time Blueberry was published under Giraud's pseudonym, Moebius. As Randy and Jean-Marc Lofficier, the translator couple for all these editions, related: "This is quite ironic because Giraud first coined the 'Moebius' pseudonym precisely because he wanted to keep his two bodies of work separate.