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.
"Tessellation Evolution," by Susan Goldstine (St. Mary's College of Maryland, St. Mary's City)
18" x 15", Glass beads, gold-plated glass beads, onyx beads, gold-plated clasp, thread, 2012
Honorable Mention, 2013 Mathematical Art Exhibition
From one end of this necklace to the other, the design evolves through 16 different tessellations of the cylinder by congruent tiles in four colors. The strips of beads along the top and bottom of the frame, woven out of larger beads for clarity, exhibit the 16 tiles underlying the bead tessellations. The body of the necklace is a bead crochet rope. To construct the design, I manually colored a planar hexagonal grid of beads using the symmetry constraints imposed by crocheting the beads into a spiral. To make the necklace, I strung 4307 beads in the order dictated by the design onto five spools of thread, then crocheted the bead rope using a 1.1 mm hook. The caps at the end of the tube are woven with an additional 210 beads. -- Susan Goldstine