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.
"SA Labyrinth #5223," by Gary Greenfield (professor emeritus, University of Richmond, VA)
Digital Print, 2014
A point, realized as an autonomous drawbot, traces a curve parametrized by arc length by constantly adjusting its tangent angle and curvature. The drawing method was first introduced by Chappell. When it encounters itself, it strives to match its current curvature with its previous curvature. In non-degenerate cases this behavior yields labyrinths. Feathering the curve using a normal vector helps accentuate the drawbot's directional and curvature changes. --- Gary Greenfield