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.
45 x 45 x 45 cm, wood & aluminum frame, silvered mylar strings, 2016
My sculptures are Lissajous figures in 3D. This sculpture is in two parts: an outer frame of laminated hardwood and aluminum, and an inner web of strings. The frame is defined by three, simultaneous, parametric equations, time as parameter. The strings are silvered, package-wrap string, space-defined by a commercial graphing calculator program. The web of strings guides the eye to see imaginary lines and surfaces. --- Fielding Brown