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.
"Calm," by Reza Sarhangi (Towson University, Towson, MD)
Digital print, 16" x 20", 2008
"Calm" is an artwork based on the “Modularity” concept presented in an article “Modules and Modularity in Mosaic Patterns” (Reza Sarhangi, Journal of the Symmetrion, Volume 19, Numbers 2-3, 2008/. Another article in this regard is “Modularity in Medieval Persian Mosaics: Textual, Empirical, Analytical, and Theoretical Considerations” (Sarhangi, R., S. Jablan, and R. Sazdanovic, Bridges Conference Proceedings, 2004). The set of modules with extra cuts used to create this artwork is presented in this figure: http://gallery.bridgesmathart.org/sites/gallery.bridgesmathart.org/files/Reza/Calm_figure.jpg. --- Reza Sarhangi (http://pages.towson.edu/gsarhang/)