# A Bird in Flight

A Bird in Flight (2015) by Hamid Naderi Yeganeh[1][2]
A Bird in Flight (2016) by Hamid Naderi Yeganeh[3][4]

A Bird in Flight are bird-like geometric patterns that were introduced by mathematical artist Hamid Naderi Yeganeh.[5][6][7] Yeganeh has created these figures by combing through tens of thousands of computer-generated images. They are defined by trigonometric functions.[8] An example of such patterns is a set of 500 line segments where for each ${\displaystyle i=1,2,3,\ldots ,500}$ the endpoints of the ${\displaystyle i}$-th line segment are:

${\displaystyle \left({\frac {3}{2}}\left(\sin \left({\frac {2\pi i}{500}}+{\frac {\pi }{3}}\right)\right)^{7},\,{\frac {1}{4}}\left(\cos \left({\frac {6\pi i}{500}}\right)\right)^{2}\right)}$

and

${\displaystyle \left({\frac {1}{5}}\sin \left({\frac {6\pi i}{500}}+{\frac {\pi }{5}}\right),\,{\frac {-2}{3}}\left(\sin \left({\frac {2\pi i}{500}}-{\frac {\pi }{3}}\right)\right)^{2}\right)}$.[9][10]