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.
"Tying and untying," by Victor Stipsic (Washington DC), Marko Vujic (Washington DC), Radmila Sazdanovic
Movie Clip, 2009. "Tying and untying" is a short movie addressing one of the principal questions in knot theory-unknotting and distinguishing knots. More precisely, we illustrate John H. Conway’s classification of knots into knot and link families. Mathematical ideas permeate vivid animations and music creating visual-acoustic symphony. --- Victor Stipsic (Washington DC), Marko Vujic (Washington DC), Radmila Sazdanovic http://www.youtube.com/watch?v=Bz_A6nhrZMw