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.
"Lorenz Attractor in Flow, " by Marc Chamberland and Chris French (Grinnell College, Grinnell, IA)
12cm x 12cm x 12cm, 3D printer, 2013
"Most people view mathematics as a collection of tools and procedures and get mired in the mechanics. Mathematical art communicates the essential beauty found in mathematics. "
The Lorenz attractor is the limiting set of a three-dimensional system of differential equations modeling atmospheric convection. Discovered by Ed Lorenz in 1962, this set has become an attractive symbol for chaotic dynamics. The art work was created by modifying Mathematica code developed by Knill and Slavkovsky. An important new component was to have the curve which generates the shape continuously change color. This allows the observer to see the flow of motion as the attractor is generated. --- Marc Chamberland and Chris French