A Bird in Flight

An example of A Bird in Flight

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 $i=1, 2, 3, \ldots , 500$ the endpoints of the $i$-th line segment are:

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

and

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