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.
"Twelve Pi," by Sarah Berube (Diametric Arts, Shutesbury, MA)
5 x 5 x 5 cm, 3D printed steel, 2016
My work currently revolves around the polyhedral symmetry groups. I pursue this form of art because I am strongly drawn to symmetry and the satisfying sense of beauty and perfection it evokes. My design process is an exploration of the properties of polyhedra. The design for this sculpture is comprised of twelve pi symbols arranged with tetrahedral symmetry. At four different locations, the right legs of three pi symbols spiral into each other, forming vortices in lieu of vertices. --- Sarah Berube