July 4, 2018

# When art and math collide

If \(cos(6πk/2000)-i cos(12πk/2000))e^(3πi/4)\ means nothing to you, then you’re probably like the rest of us. Normal. The last time “cos” resonated with you, was during high school math– when it meant “cosine,” a trigonometric function…of some sort. But to 25-year-old Iranian student Hamid Naderi Yeganeh, using cosines are a part of daily life — what you would expect of a mathematics major and award-winning mathlete.

That might be surprising however, is that Yeganeh’s formula, (cos(6πk/2000)-i cos(12πk/2000))e^(3πi/4), acts like his pen and ink. He uses formulas like these, combined with computer software programs to create fantastical and intricate mathematical artworks.

When different numerical values are assigned to the equation above, the end results can pictorially represent at bird in flight.

“The images (I make) are defined by basic mathematical concepts. At first, I use multiple formulas to create many different images. Then, I choose the best results,” Yeganeh explains.

Yeganeh began studying mathematics at the University of Qom in Iran in 2012. At the same time, he developed a love for art.

“At first I was interested in beautiful, symmetrical shapes. So, I started to create mathematical figures using trigonometric functions to define the endpoints of line segments. After a while, I understood I could find interesting shapes that looked like real life things, such as animals.”

Math and art have long been linked. Artists in Ancient Greece used concepts such as ratio and symmetry, to sculpt the human form.