View source for A Bird in Flight

{{short description|Bird-like geometric patterns introduced by mathematical artist Hamid Naderi Yeganeh}}
[[Image:A Bird in Flight by Hamid Naderi Yeganeh.jpg|thumb|upright=1.5|''A Bird in Flight (2015)'' by Hamid Naderi Yeganeh<ref>{{cite web |url= http://www.ams.org/mathimagery/displayimage.php?album=40&pid=616#top_display_media|title="A Bird in Flight (2015)," by Hamid Naderi Yeganeh|publisher=American Mathematical Society |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=Science Friday}}</ref>]]

[[Image:A Bird in Flight by Hamid Naderi Yeganeh 2016.jpg|thumb|upright=1.5|''A Bird in Flight (2016)'' by Hamid Naderi Yeganeh<ref>{{cite web |url= http://www.ams.org/mathimagery/displayimage.php?album=40&pid=684#top_display_media|title="A Bird in Flight (2016)," by Hamid Naderi Yeganeh|publisher=American Mathematical Society |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|website=Maddmaths!|publisher=SIMAI Società Italiana di Matematica Applicata e Industriale|access-date=2019-02-04}}</ref><ref>{{cite web |title=“A Bird in Flight” |url=https://www.futilitycloset.com/2018/04/22/a-bird-in-flight/ |website=Futility Closet |accessdate=25 March 2020 |archiveurl=https://web.archive.org/web/20180423021644/https://www.futilitycloset.com/2018/04/22/a-bird-in-flight/ |archivedate=April 23, 2018 |date=April 22, 2018 |url-status=live}}</ref>]]

'''A Bird in Flight''' are bird-like geometric patterns that were introduced by mathematical artist Hamid Naderi Yeganeh.<ref>{{cite web |url= http://www.ams.org/mathimagery/thumbnails.php?album=40|title=Mathematical Concepts Illustrated by Hamid Naderi Yeganeh|publisher=American Mathematical Society |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=[[Organization:Gustavus Adolphus College|Gustavus Adolphus College]] |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=[[Plus Magazine]] |date= January 8, 2015|accessdate=September 19, 2015}}</ref><ref>{{cite web |last1=Gustlin |first1=Deborah |title=15.4: Digital Art |url=https://human.libretexts.org/Courses/ASCCC/A_World_Perspective_of_Art_Appreciation_(Gustlin_and_Gustlin)/15%3A_The_New_Millennium_(2000_-_2020)/15.04%3A_Digital_Art |website=LibreTexts |accessdate=19 March 2020}}</ref><ref>{{cite web |title=Mathematics Portal - IMKT |url=https://imkt.org/math-portal/ |publisher=International Mathematical Knowledge Trust |accessdate=24 February 2020}}</ref> Yeganeh has created these figures by combing through tens of thousands of computer-generated images. They are defined by [[Trigonometric functions|trigonometric functions]].<ref>{{cite news |last1=Antonick |first1=Gary |title=Round Robin |url=https://wordplay.blogs.nytimes.com/2016/01/25/moriconi-round-robin/ |accessdate=27 February 2020 |work={{wipe|The New York Times}} |date=January 25, 2016}}</ref><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=CNN}}</ref> An example of such patterns is a set of 500 line segments 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=Huffington Post (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=Scientific American (blog)}}</ref>

==See also==
* [[Boat (drawing)]]

==References==
{{Reflist}}

{{DEFAULTSORT:Bird in Flight}}
[[Category:Geometric shapes]]


{{Mathematical art}}


{{Sourceattribution|A Bird in Flight|1}}