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.
"Gyrangle," by George W. Hart (www.georgehart.com)
The sculpture is constructed from almost 500 laser-cut steel units, bolted together in a novel way that produces a gyroid surface entirely from equilateral triangles. Shapes come together to reveal a variety of different patterns in the "tunnels" of the sculpture. The first presentation
of this interesting geometry was at the USA Science and Engineering Festival in Washington DC, October 2010. The completed 42" sculpture was donated to Towson University. The work is described in detail at www.georgehart.com/DC.