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.
"Pointed Planes and Bézier Beaks," by Harry Rubin-Falcone (Oberlin College, Oberlin, OH)
15.5" x 20", Digital Print, 2012
Each figure is created with a series of Bézier curves. Because there is space between each curve, you can see some parts of the curves behind the others, which gives each figure a translucent and three dimensional look. The curves can be thought of as lying on a plane, which means each figure is a representation of a folded-over plane that comes to a point. -- Harry Rubin-Falcone