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.
Poster (scan of hand ink drawing on paper), 32” x 24” (original 45” x 42”), 1985
There were no computers used in the creation of this drawing. It was completely hand drawn using a pen and ruler and consists of straight, unbroken, parallel lines that extend to the outermost perimeter. If the perimeter expanded and the lines repeated and extended, the symmetrical pattern would continue infinitely. The use and placement of straight lines are not a random guess but must conform to a mathematical framework for their representation. Each group of lines is analogous to a group of integers, and it is the exact arrangement of the lines arising from balanced proportions that create the intricate patterns. The lines can flow in a successive order, or, with varied intricate combinations. The singularity of straight lines unites a complex system of multiple interrelated sections creating the illusion of curvature. The various parts relate to the whole and the patterns grasped and visualized as a whole. --- Frank Mingrone (http://www.supersymmetryart.com/)