2023 Bridges Conference Art Exhibition
Manuel Diaz Regueiro
Artists
Manuel Diaz Regueiro
Artist
Math Teacher, Retired
Lugo, Galiza, Spain
Statement
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.
Artworks

Polyhedra with circles
20.0 x 50.0 x 50.0 cm
White natural (and red) versatile plastic
2022
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.