Boat (drawing)

An example of Boat

Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.

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

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

and

$\left(\sin\left(\frac{4\pi k}{2000}+\frac{\pi}{8}\right)+i\sin\left(\frac{2\pi k}{2000}+\frac{\pi}{3}\right)\right)e^{\frac{3\pi i}{4}}$.