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.
"Longest Crease J, " by Sharol Nau (Northfield, MN)
10" x 10" x 10", book sculpture, 2013
"A classical calculus problem, the so-called Paper Creasing Problem, deals with extremizing the length of the crease formed when a rectangular sheet of paper is altered by folding one corner, say the lower right-hand corner, to the opposite edge. The length of the crease depends on the distance the active corner is from the upper left-hand corner."
This sculpture formed by folding individual pages is an example of the variety of the three-dimensional forms which can be obtained by incremental changes in the length of the crease from page to page and by extending the points that can be used. --- Sharol Nau (http://www.sharolnau.com)