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.
"Creamy Blocks," by Anne Burns (Long Island University, Brookville, NY)
12 " X 16", Digital print, 2011
I began life as an art major. Much later I became interested in mathematics. When I bought my first computer I found that I could combine my love of art with my love of mathematics. The possibilities are endless. Here, attached to each point in a sequence of points along the lines y = ±x is a vector whose length and direction are determined by a complex function h(x+iy). The color and transparency of the vector are functions of arctan(Im(h)/Re(h)). --- Anne Burns (Long Island University, Brookville, NY http://www.anneburns.net/)