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.
"Blue Sun," by Mojgan Lisar (Enschede, The Netherlands) and Reza Sarhangi (Towson University, MD)
16" x 16", combination of hand painting and computer work, 2012
The Blue Sun is a collage of two different Persian works of art, both with deep mathematical roots: Tiling and Tazhib. The mosaic design on the back is a two-level self-similar tiling that has been made based on the decagram. This structure possesses a 10-fold rotational symmetry. This symmetry can be expanded in all directions using the five Sâzeh motifs introduced in "Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons" by Reza Sarhangi, the 2012 Bridges Proceedings. The tiling at the center presents the tiling of a decagram that follows the same rules as the larger tiling in the back. The front image is a decagram Tazhip. In a traditional Persian Tazhib, one can find mathematical ideas and concepts, such as symmetries, spirals, polygons and star polygons. -- Mojgan Lisar and Reza Sarhangi