Posts Tagged ‘Hamid Naderi Yeganeh’

Mathematical images by Yeganeh

January 11, 2015
Yeganeh bird in flight

Yeganeh bird in flight

Hamid Naderi Yeganeh, “A Bird in Flight” (November 2014)

This image is like a bird in flight. It shows 2000 line segments. For each i=1, 2, 3, … , 2000 the endpoints of the i-th line segment are:
(3(sin(2πi/2000)^3), -cos(8πi/2000))
and
((3/2)(sin(2πi/2000)^3), (-1/2)cos(6πi/2000)).

See his gallery of images here.

Hamid Naderi Yeganeh is a Bachelor student of mathematics at the University of Qom. He won gold medal at the 38th Iranian Mathematical Society’s Competition (2014).

A Generalization of Wallis Product by Mahdi Ahmadinia and Hamid Naderi Yeganeh

PlusMaths writes:

…but it’s actually a collection of points in the plane given by a mathematical formula. To be precise, it’s a subset of the complex plane consisting of points of the form

  \[ \lambda A(t)+(1-\lambda )B(t), \]    

where

  \[ A(t)= 3(\sin (t))^{3}- \frac{3i}{4}\cos (4t) \]    

and

  \[ B(t)= \frac{3}{2}(\sin (t))^{5} - \frac{i}{2}\cos (3t) \]    

for $0\leq t \leq 2\pi $ and $0\leq \lambda \leq 1.$

The image was created by Hamid Naderi Yeganeh.