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.
"Starry Pines," by Charles Redmond (Mercyhurst University, Erie, PA)
16" X 16", Generated by code written in the Context Free Art language, no photo-editing software used, 2011
Every program written in the Context Free Art language may be considered to be a context free grammar for creating images. Thus, when one programs in this language, one is "inventing" grammars. Any image produced with such a grammar may be considered to be a legal sentence in the grammar. If randomness is introduced into the program, then there are many different legal sentences or images, and one is producing generative art. When I created Starry Pines, I was studying tree creation with Context Free Art while at the same time experimenting with a technique of mine for creating star clusters and galaxies. I put them together for this work, along with a recursive icy swirl added to the rules for the trees. -- Charles Redmond