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.
"Butterfly Effect," by Nathan Selikoff (www.nathanselikoff.com), 2007
The "Butterfly Effect", or more technically the "sensitive dependence on initial conditions", is the essence of chaos. Besides the fact that this attractor looks like an abstract butterfly, the title of the piece is an homage to Edward Lorenz, a pioneer of chaos theory. It’s a quick jump from this popular understanding of chaos theory to playing with the Lorenz Attractor and learning a bit more about the math and science behind it. Read more at
http://nathanselikoff.com/236/strange-attractors/butterfly-effect. --- Nathan Selikoff