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.
This is formed using twelve 9" paper plates all folded to the same equilateral triangular grid and reconfigured to the same design with slight variation between the four units that make the center tetrahedron pattern and the eight circles that form the outer cubic arrangement. This is one of many explorations using fifty-four creases rather than the twenty-four creases I usually work with. The higher frequency triangular grid allows greater complexity in a single circle which when combined in multiples forms designs that would not be possible otherwise. --- Bradford Hansen-Smith (http://www.wholemovement.com)