What is Möbius strip?
[[File:Möbius strip.jpg|thumb|A Möbius strip]] [[Image:MöbiusWeddingBand.JPG|right|thumb|A [[wedding ring]] designed as a Möbius strip.]] The '''Möbius strip''' or '''Möbius band''', sometimes called a Mobius strip is a looped [[surface]] with only one side and only one edge. It can be made using a strip of paper by gluing the two ends together with a half-twist. The twisting is possible in two directions; so there are two different (mirror-image) Möbius strips. The Mobius strip is known for its unusual properties. A bug crawling along the center line of the loop would go around twice before coming back to its starting point.<ref>Rainer Herges: ''Möbius, Escher, Bach – Das unendliche Band in Kunst und Wissenschaft.'' In: ''Naturwissenschaftliche Rundschau'' Wissenschaftliche Verlagsgesellschaft, p. 306, ISSN 0028-1050</ref> Cutting along the center line of the loop creates one longer band, not two. Cutting one third of the way in from the edge (and parallel to it) produces two Möbius strips, looped together. The Möbius strip was discovered independently by the [[Germany|German]] [[mathematician]]s [[August Ferdinand Möbius]] and [[Johann Benedict Listing]] in 1858.<ref>{{cite book |author = [[Clifford A. Pickover]] |date= March 2006 |title = The Möbius Strip : Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology |url = https://archive.org/details/mbiusstripdrau00pick |publisher = Thunder's Mouth Press |isbn = 1560258268 }}</ref><ref>{{cite book|title=Naturwissenschaftliche Rundschau|author=Rainer Herges|date=2005-06-28|journal=Naturwissenschaftliche Rundschau : Nr|pages=301–310|chapter=Möbius, Escher, Bach – Das unendliche Band in Kunst und Wissenschaft|issn=0028-1050}}</ref><ref>{{cite book |editor= Chris Rodley |title= Lynch on Lynch |place=London, Boston |year=1997 |page=231 }}</ref> == Mathematical description == [[File:Moebius Surface 1 Display Small.png|thumb|right|A parametric plot of a Möbius strip]] [[File:MöbiusStripAsSquare.svg|thumb|rig