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.
"Experiment in Shading," by Norton Starr (Amherst College, Amherst, MA)
(Pressurized) ball point pen on paper, 14.25” wide by 15.25” high, 1973. This was drawn by computer-controlled pen on a CalComp Drum plotter at the University of Waterloo. It consists of several hundred concentric star images, with their “radius” varied sinusoidally so as to create the shadow effects of darker and lighter regions. The end result is like an unrealistically precise charcoal drawing. "As I grew up, my freehand drawing often involved families of parallel lines and curves suggesting shading effects. In 1972 I recognized that with the aid of a computer driven plotter I could obtain pictures essentially impossible by other means. Although I produced a number of drawings of different kinds, I spent a fair amount of time and effort trying to achieve shading effects by drawing lines and curves variably spaced from one another. The computer afforded a degree of control that made possible my use math functions to provide desired transitions between dark and light regions. 'Experiment in Shading' is one consequence of that initiative." --- Norton Starr (Amherst College, Amherst, MA) http://www3.amherst.edu/~nstarr/