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.
"Drosted Philadelphia," by Francesco De Comité (University of Sciences and Technology of Lille, France)
Digital picture, 30x30 cm, 2009
Drosting, a hyperbolic tiling. Manipulation of digital images and use of ray-tracing software can help you to concretize mathematical concepts, either for giving you an idea of how a real object will look, or to represent imaginary landscapes. --- Francesco De Comité