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.
"Seven Sided Seven Color Torus," by Faye E. Goldman (Ardmore, PA)
Strips of polypropylene ribbon, 2014
This toroid shape is made from over 3200 strips of ribbon. I love the fact that there needs to be as many heptagons making the negative curvature in the center as there are pentagons around the outside. It is the fourth torus I've made and the most interesting. When I decided to create a seven sided torus, it was obvious that it needed to have seven colors to show the seven color map problem on a torus. --- Faye E. Goldman (http://www.FayeGoldman.com)