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.
"Klein Bottle," by Jennifer Doyle (Lawrence Berkeley National Laboratory Berkeley, CA)
23 x 23 x 20 cm, galvanized steel wire, 2015
My first experiments with mathematically-themed wire sculpture have been Klein bottles. The concept of producing a sculptural Klein bottle fascinates me, as the two concepts seem to be at odds: a sculpture is, by its nature, 3-dimensional, yet a Klein bottle is not; a sculpture, by its nature, has volume, yet a Klein bottle does not. The "classic" Klein bottle is considerably more "bottle-shaped" than my piece; I decided to shape my piece into a form more resembling two semi-toroids. --- Jennifer Doyle