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.
"Fingers Holding Secrets," by Joe ZazulakJoe Zazulak retired at the age of 55 from the United States Department of Veterans Affairs in order to dedicate himself from then on to fractal art, to which he is a certified addict. This picture is called "Fingers Holding Secrets," and the name came to his mind while the image appeared slowly on his computer. From then he only worked in providing the delicate and smooth pearlescent texture that characterizes the image. Joe Zazulak never plans his images in advance, nor intuits what they will be after the creative process. He begins his works with a very simple structure, with hardly any color, and adds variations to the shape parameters intuitively until he obtains a pleasing result.