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.
"The Life Cycle of a Bubble Cluster: Insight from Mathematics, Algorithms, and Supercomputers," by Robert I. Saye and James A. Sethian, UC Berkeley and Lawrence Berkeley National Laboratory
Honorable Mention, Posters & Graphics - 2013 Visualization "Vizzies" Challenge (National Science Foundation). Soap bubbles are often perceived as majestic, but the physics of popping bubbles in a foam are far from simplistic. Delving into the multi-scale phenomena underpinning bubble dynamics, one finds that there is host of challenges that need to be solved if one is to model and simulate foam behavior with computers. This poster tells part of this story, from the picturesque behavior of soap bubbles, to multi-scale physics and mathematical modeling, to simulation with powerful supercomputers. See 2013 Vizzie Winners, including a link to a video of the foam simulation.