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\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) | \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 journal |title=Von Formeln und Vögeln |journal=Spektrum der Wissenschaft |date=February 4, 2021 |volume=05/2021 |page=47 |url=https://www.spektrum.de/ |
</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 journal |title=Von Formeln und Vögeln |journal=Spektrum der Wissenschaft |date=February 4, 2021 |volume=05/2021 |page=47 |url=https://www.spektrum.de/kolumne/freistetters-formelwelt-von-formeln-und-voegeln/1826563 |access-date=7 February 2021 |language=German |issn=0170-2971}}</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== | ==See also== |
Revision as of 18:41, 7 February 2021
Bird-like geometric patterns introduced by mathematical artist Hamid Naderi YeganehA Bird in Flight are bird-like geometric patterns that were introduced by mathematical artist Hamid Naderi Yeganeh. Yeganeh has created these figures by combing through tens of thousands of computer-generated images. They are defined by trigonometric functions. An example of such patterns is a set of 500 line segments where for each the endpoints of the -th line segment are:
and
- .
See also
References
- ""A Bird in Flight (2015)," by Hamid Naderi Yeganeh". American Mathematical Society. September 16, 2015. Retrieved September 19, 2015.
- Young, Lauren (January 19, 2016). "Math Is Beautiful". Science Friday.
- ""A Bird in Flight (2016)," by Hamid Naderi Yeganeh". American Mathematical Society. March 23, 2016. Retrieved March 29, 2017.
- Passaro, Davide. "Matematica e arti visive: percorsi interdisciplinari fra matematica, arte e coding". Maddmaths!. SIMAI Società Italiana di Matematica Applicata e Industriale. Retrieved 2019-02-04.
- ""A Bird in Flight"". Futility Closet. April 22, 2018. Archived from the original on April 23, 2018. Retrieved 25 March 2020.
- "수학적 아름다움, 프랙털 아트의 세계" [Mathematical beauty, the world of fractal art]. Sciencetimes (in Korean). 8 December 2020. Archived from the original on 8 December 2020. Retrieved 8 December 2020.
- "Mathematical Concepts Illustrated by Hamid Naderi Yeganeh". American Mathematical Society. November 2014. Retrieved September 19, 2015.
- "Mathematical Works of Art". Gustavus Adolphus College. September 18, 2014. Retrieved September 19, 2015.
- "This is not a bird (or a moustache)". Plus Magazine. January 8, 2015. Retrieved September 19, 2015.
- Gustlin, Deborah. "15.4: Digital Art". LibreTexts. Retrieved 19 March 2020.
- "Mathematics Portal - IMKT". International Mathematical Knowledge Trust. Retrieved 24 February 2020.
- Antonick, Gary (January 25, 2016). "Round Robin". The New York Times. Retrieved 27 February 2020.
- Chung, Stephy (September 18, 2015). "Next da Vinci? Math genius using formulas to create fantastical works of art". CNN.
- Baugher, Janée J. (2020). The Ekphrastic Writer: Creating Art-Influenced Poetry, Fiction and Nonfiction. McFarland and Company, Inc., Publishers. p. 56. ISBN 9781476639611.
- Naderi Yeganeh, Hamid (September 11, 2015). "Importing Things From the Real World Into the Territory of Mathematics!". Huffington Post (blog).
- "Von Formeln und Vögeln". Spektrum der Wissenschaft (in German). 05/2021: 47. February 4, 2021. ISSN 0170-2971. Retrieved 7 February 2021.
- Mellow, Glendon (August 6, 2015). "Mathematically Precise Crosshatching". Scientific American (blog).
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