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.
"Seasonal Chaos," by Mike Field (University of Houston)
"Seasonal Chaos," a Hexagonal Quilt, is a repeating pattern of type p3m1 created using methods based on deterministic dynamical systems. The image was created in 1999 and used as the motive for a 'seasonal card.' Hexagonal Quilts are constructed using either a deterministic symmetric dynamical system or a random symmetric dynamical system. In either case, the images shown can be thought of as colored realizations of chaotic symmetric attractors. --- Mike Field