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.
"Paths and Points," by James Mai (Illinois State University, Normal)
Digital print, 15”x7.5", 2007.
All permutations (minus symmetrical redundancies) of alternating upward & downward semi-circular paths around & between 3 points. "I employ mathematically ordered shape relationships and carefully balanced color relationships in my compositions. These call for both objective logic and subjective perception in the decoding of each composition's organizing principles. My studio work is accomplished in both traditional painting media and digital prints." --- James Mai (Illinois State University, Normal)