The connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.
Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.
"The Fish," by Umut Isik (University of California, Irvine, CA)
28 x 43 cm, print, 2016
I have built a software infrastructure for producing artworks from simple mathematical functions. This creates a new medium for artistic and mathematical expression; one where it more natural to work with simple mathematical descriptions rather than imperative/iterative processes. In this work these algebraic curves divide the plane into many regions. I colored these regions using a probability distribution that produces a mixture of strong and light colors. --- Umut Isik