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] |date=September 16, 2015 |accessdate=September 19, 2015}}</ref>]] | ] |date=September 16, 2015 |accessdate=September 19, 2015}}</ref>]] | ||
'''A Bird in Flight''' |
'''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 composed 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> | :<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) | \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) |
Revision as of 21:47, 25 October 2015
A 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 composed of 500 line segments where for each the endpoints of the -th line segment are:
and
- .
References
- ""A Bird in Flight (2015)," by Hamid Naderi Yeganeh". American Mathematical Society. September 16, 2015. Retrieved September 19, 2015.
- "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.
- Chung, Stephy (September 18, 2015). "Next da Vinci? Math genius using formulas to create fantastical works of art". CNN.
- Naderi Yeganeh, Hamid (September 11, 2015). "Importing Things From the Real World Into the Territory of Mathematics!". Huffington Post (blog).
- Mellow, Glendon (August 6, 2015). "Mathematically Precise Crosshatching". Scientific American (blog).