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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 .
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.
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.
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.
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]
But the illegal strip search in 2020 of two women, one age 65 and the other 75, were emblematic of the department’s shortcomings, said the report, which was released Thursday.
Cardenas underwent two strip searches, a cavity search where a male doctor allegedly violated her, X-ray and CT scans, and a drug and pregnancy test -- and was still not allowed to see her husband.
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.