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.
"Beaded Fullerene of Schwarz's D Surface," by Chern Chuang (MIT, Cambridge, MA), Bih-Yaw Jin (National Taiwan University), Wei-Chi Wei (The Beaded Molecules)
23cm x 21cm x 18cm, Faceted plastic beads and fish thread, 2008
Geometry is an essential ingredient of chemistry. The functionality of molecules depends heavily on their geometries. Here is the conjugate surface of the P surface. We chose to construct this surface in a tetrahedral form to avoid unconnected component. In contrast to the P surface, one can find this surface comprising helicoid units of two opposite chiralities, lining up along C2 axes. Octagonal rings are represented by green beads. --- Chern Chuang, (MIT, Cambridge, MA)