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.
"Xolis," by Jaroslaw Wierny"Xolis" is an abstract word for an abstract picture. Each person can give to it the significance they want, as the author does not pretend to predispose the viewer. The image was generated with Ultra Fractal and consists of 10 layers containing the two most famous fractal sets, the Julia set and the Mandelbrot set. Six different coloring algorithms are applied to these. Jaroslaw Wierny is a Polish graphic designer profoundly interested in the Buddhist philosophy, which he relates to the fractal structure of the world.