My evolution has gone from combining mathematics and art to expressing myself mathematically and artistically through my works. I began by learning to create my own l-systems program, starting with 2D and progressing to 3D. Over the past four years, I have delved into polyhedrons, using them to create new shapes.
Circles are a universal symbol in mathematics, nature, culture, and technology (think of the sun and the wheel), while polyhedrons embody mathematical and artistic perfection. By combining circles and polyhedrons, I have created works that merge art, mathematics, and science.
In my work, I explore the union of two mathematical worlds: polyhedrons and circles. This theme is presented in three different ways, including new theorems and constructions. My works also contain a hidden element - a new type of polyhedra made from circular arcs.
I have created four artworks: the first, a large one featuring circles on a sphere, the second, a red piece where circular arcs define a polyhedron, and the other two depict winged dual polyhedra - showcasing the birth of these curved polyhedra made with arcs. Interestingly, all classical polyhedra can be made in the same way. In some cases, constructing the dual defines a new type of dual property, which adds to the richness and complexity of my works.