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.
Stained Glass. From the Grammar of Ornament series.
The Escher-esque quality of the shields appealed to me, especially as they leave a negative-space dodecagon in the center. I kept the colors in symphony with each other to add to the complexity of the basic design. --- Erica Rollings Glass Works (www.ericarollings.net)