Hamid created this piece to showcase the intersection of art and geography. By using mathematical concepts, he aimed to highlight the underlying patterns and harmony found in nature and design. [5]

The map of Africa inspired him. He began by representing Africa as a polygon, specifically modifying an octagon to resemble the continent by adjusting the coordinates of its eight points. [5]

After forming this Africa-like octagon and its lateral inversion. Hamid used the Fibonacci sequence to guide the arrangement of the fractal pattern [2], similar to the structure of the rabbit family tree introduced by the Italian mathematician Leonardo Fibonacci (1170–1250). He also applied the golden ratio to determine the height of each octagon in the sequence, creating a balanced and harmonious look in the overall composition. [5]

The following equations are the ones Hamid calculated, necessary for the octagon to form the fractal pattern.

Additionally, as the fractal pattern grew, it began forming isosceles triangles which also follow the fibonacci sequence as they grow.

One of Hamid’s most well-known works is a creation made purely from a collection of line segments, simple yet visually striking.

In this piece, he focused entirely on the concept of trigonometric function. It’s built using 500 line segments, where for each i = 1, 2, 3, …, 500, the endpoints of the i-th segment were determined through a specific mathematical equation: [5]

But before Hamid concluded the final image, he input different numerical values into the same formula, resulting in different movements of the bird in flight, and then chose what he thought was the best. [3]

What makes this work even more interesting is how, through the repetition of these calculated lines, Hamid was able to form a visual of a bird in flight. It gives off the impression of an optical illusion, considering it’s composed only of line segments, yet it still manages to capture movement and form in such a graceful way.

Hamid Naderi Yeganeh redefines what it means to be both an artist and a mathematician. He shows how creativity and innovation can thrive at the intersection of art and mathematics. 

With his exceptional mathematical skills, Yeganeh demonstrates that art doesn’t have to come from traditional methods like hand drawing; it can also emerge through the exploration of patterns, numbers, and equations. Through his works, we can realize that abstract concepts can be transformed into visually striking forms that reveal the beauty of math. 

Overall, Yeganeh’s art reminds us that creativity is not bound by the tools we use but by how we bring our ideas to life. Art is ultimately about expression; people simply need to discover how they can best express themselves