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.
"How origami is inspiring scientific creativity," (still from video) by Larry Howell, Julie Walker, Robert Lang, Spencer Magleby, and Brian Wilcox
People’s Choice for the video category, and People’s Choice, Best Overall - 2015 Visualization "Vizzies" Challenge (National Science Foundation). Engineers use origami principles to design spacecraft solar panels and other devices that flex or unfurl, as in this video by a lab at Brigham Young University. Larry Howell, the team leader, says the work is just plain fun. "There's so much potential for applications. These things can really make a difference." [url= http://www.nsf.gov/news/special_reports/scivis/popup/2014/origami_video.jsp]View the video[/url].