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

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

See also

• A Bird in Flight