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.
Bill Beath is an Australian photographer specializing in depicting nature, the countryside and architecture. His photographic work combines raditional film processes with the most modern digital techniques. His first contact with fractals was a photograph of a Nautilus shell, which led to the Fibonacci sequence, which led to his discovery of fractals and fractal art. Since then, Bill Beath has been permanently immersed in fractal art, as much as an art form as an integral part of his photographic work. For that reason this image is based on the "Fibonacci Julia" algorithm, developed by Kerry Mitchell. It shows a fascinating shape somewhere between a natural design and an exquisite man-made design. The name of the image, "Ebony and Ivory," refers to the palette used, based on elegant tones of black and white.