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.
"Overlapping Circles #25," by Anne Burns (Long Island University, Brookville, NY)
Digital print, 19" X 13", 2009. The subgroup of Möbius Transformations that maps the unit circle onto itself is composed with Möbius Transformations that map the unit circle into itself to produce overlapping circles. The program was written in Actionscript. I am fascinated by art, mathematics and nature and try to combine all three in my work. --- Anne Burns (Long Island University, Brookville, NY) http://myweb.cwpost.liu.edu/aburns/