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| ] |date=September 16, 2015 |accessdate=September 19, 2015}}</ref><ref>{{cite news |title=Math Is Beautiful |url= http://www.sciencefriday.com/articles/math-is-beautiful/ |date=January 19, 2016 |first=Lauren |last=Young |work=]}}</ref>]] | |||
| {{R with history}} | |||
| ] |date=March 23, 2016 |accessdate=March 29, 2017}}</ref><ref>{{Cite web|url=http://maddmaths.simai.eu/archimede/matematica-e-arti-visive/|title=Matematica e arti visive: percorsi interdisciplinari fra matematica, arte e coding|last=Passaro|first=Davide|date=|website=Maddmaths!|publisher=SIMAI Società Italiana di Matematica Applicata e Industriale|archive-url=|archive-date=|dead-url=|access-date=2019-02-04}}</ref>]] | |||
| '''A Bird in Flight''' are bird-like ] that were introduced by mathematical artist ].<ref>{{cite web |url= http://www.ams.org/mathimagery/thumbnails.php?album=40|title=Mathematical Concepts Illustrated by Hamid Naderi Yeganeh|publisher=] |date=November 2014 |accessdate=September 19, 2015}}</ref><ref>{{cite web |url= https://mcs.blog.gustavus.edu/2015/09/18/mathematical-works-of-art/|title=Mathematical Works of Art|publisher=] |date=September 18, 2014 |accessdate=September 19, 2015}}</ref><ref>{{cite web |url=https://plus.maths.org/content/not-bird|title=This is not a bird (or a moustache) |publisher=] |date= January 8, 2015|accessdate=September 19, 2015}}</ref> Yeganeh has created these figures by combing through tens of thousands of ]. They are defined by ].<ref>{{cite news |title=Next da Vinci? Math genius using formulas to create fantastical works of art |url= http://edition.cnn.com/2015/09/17/arts/math-art/ |date=September 18, 2015 |first=Stephy |last=Chung |work=]}}</ref> An example of such patterns is a set of 500 ] where for each <math>i=1, 2, 3, \ldots , 500</math> the endpoints of the <math>i</math>-th line segment are: | |||
| :<math> | |||
| \left(\frac{3}{2}\left(\sin\left(\frac{2\pi i}{500}+\frac{\pi}{3}\right)\right)^{7},\,\frac{1}{4}\left(\cos\left(\frac{6\pi i}{500}\right)\right)^{2}\right) | |||
| </math> | |||
| and | |||
| :<math> | |||
| \left(\frac{1}{5}\sin\left(\frac{6\pi i}{500}+\frac{\pi}{5}\right),\,\frac{-2}{3}\left(\sin\left(\frac{2\pi i}{500}-\frac{\pi}{3}\right)\right)^{2}\right) | |||
| </math>.<ref>{{cite news |title=Importing Things From the Real World Into the Territory of Mathematics! |url=http://www.huffingtonpost.com/hamid-naderi-yeganeh/importing-things-from-the_b_8111912.html |date=September 11, 2015 |first=Hamid |last=Naderi Yeganeh |work=] (blog)}}</ref><ref>{{cite news |title=Mathematically Precise Crosshatching |url= http://blogs.scientificamerican.com/symbiartic/mathematically-precise-crosshatching/ |date=August 6, 2015 |first=Glendon |last=Mellow |work=] (blog)}}</ref> | |||
| ==See also== | |||
| * ] | |||
| ==References== | |||
| {{Reflist}} | |||
| {{DEFAULTSORT:Bird in Flight}} | |||
| ] | |||
| ] | |||
| ] | |||
| {{Mathematical art}} | |||
| {{geometry-stub}} | |||
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