Boat (drawing)

Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.[2][3][4][5][6]

An example of Boat[1]

The work is defined by trigonometric functions. One instance is composed of 2000 line segments where for each ${\displaystyle k=1,2,3,\ldots ,2000}$ the endpoints of the k-th line segment are:

${\displaystyle \left(\cos \left({\frac {6\pi k}{2000}}\right)-i\cos \left({\frac {12\pi k}{2000}}\right)\right)e^{\frac {3\pi i}{4}}}$

and

${\displaystyle \left(\sin \left({\frac {4\pi k}{2000}}+{\frac {\pi }{8}}\right)+i\sin \left({\frac {2\pi k}{2000}}+{\frac {\pi }{3}}\right)\right)e^{\frac {3\pi i}{4}}}$.[7][8][9][10]