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.
"Orb," by George Hart (Stony Brook University, NY)
Laser-cut wood, 2014
As a sculptor of constructive geometric forms, my work deals with patterns and relationships derived from classical ideals of balance and symmetry. Mathematical yet organic, these abstract forms invite the viewer to partake of the geometric aesthetic. Sixty identical laser-cut and laser-etched wood components assemble easily with small cable ties, illustrating chiral icosahedral symmetry. Designed to be repeatedly reconstructed and disassembled in public workshops at MoSAIC math/art festivals, the separate parts travel conveniently in a small package. Orb has been assembled and disassembled multiple times by many groups of people. --- George Hart (http://georgehart.com)