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.
"Poincare berries," by Radmila Sazdanovic (Mathematical Sciences Research Institute, Berkeley, CA)
Digital print, 20”x20”, 2009. The pattern consisting of triangles and circles introduced into the fundamental domain emphasizes four and six fold rotational symmetry of the (4,4,4,6) tessellation. The interplay of the white weave and the pattern reinforces the underlying structure. "My inspiration stems from the rich geometric structures found in tessellations of the hyperbolic plane and my area of research- knot theory. Mathematical objects can be manipulated in many ways (superimposing, dualizing, breaking symmetry) to create aesthetically pleasing computer graphics brought to life by the unusual combination of colors." --- Radmila Sazdanovic (Mathematical Sciences Research Institute, Berkeley, CA) http://home.gwu.edu/~radmila/