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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 .
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In another order of ideas, constructing 3-manifolds, it is known that a solid Klein bottle is homeomorphic to the Cartesian product of a Möbius strip and a closed interval. The solid Klein bottle is the non-orientable version of the solid torus , equivalent to D 2 × S 1 . {\displaystyle D^{2}\times S^{1}.}
The following other wikis use this file: Usage on be.wikipedia.org Стужка Мёбіуса; Usage on de.wikipedia.org Mannigfaltigkeit; Faserbündel
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English: A Möbius strip constructed by joining the top and bottom sides of a square together so that the directions of the arrows match. Español: Para transformar un cuadrado en una banda de Möbius, unir las aristas etiquetadas con A de manera tal que las direcciones en que las flechas apuntan sea la misma.
Mobius band used as a logo on a van in Bristol, England. The company named Integral deals in building construction and maintenance. The band seems to have no connection with what they do, it is just a logo. Date: Taken May 2015. Source: My own photograph, taken with a Panasonic FZ200. Author: Myself (Adrian Pingstone). Permission (Reusing this ...
You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.