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.
"Arrangement (2)," by Adrian Dumitrescu (University of Wisconsin-Milwaukee)
Digital print, 5" x 7", 2009. This arrangement was inspired by the following result from the theory of binary space partitions in computational geometry: There exists a set S of n disjoint axis-parallel line segments with the property that any axis-parallel binary space partition of S has size at least 2n-O(n^2/3). The construction is based on a shifted double grid made of disjoint segments. "Art could come from anywhere. One just wants to be careful and not overlook it." --- Adrian Dumitrescu (University of Wisconsin-Milwaukee) http://www.cs.uwm.edu/faculty/ad/