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.
"Julia's Loops," by Jennifer Ziebarth (California College of the Arts, Oakland, CA)
Digital print, 16" x 13", 2009. This fractal image is based on a Julia set, visible in dark blue along the intersections of the loops. The loops, which all begin and end on the Julia set, also exhibit self-similarity, and hint at the existence of more small loops hidden behind the larger loops. "I have always been fascinated with repetition, abstraction, and the search for pattern, and this is what drew me to mathematics. As a mathematical artist, this love of repetition and detail has lead me to fractal art. As a mathematician teaching at an art college, some of my work is pedagogical in the sense of illustrating mathematical concepts in aesthetically pleasing ways; some of it is purely visual play." --- Jennifer Ziebarth (California College of the Arts, Oakland, CA)