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.
"White hyperbolic disk," by Gabriele Meyer (University of Wisconsin, Madison)
20" x 17" x 17", Polyester yarn and shaped line, 2012
This started out as a white disk crocheted in a spiral fashion. By making more than the necessary stitches, it takes on this characteristic wavy form. The hyperbolic disk is the most basic form of a hyperbolic surface, other possible shapes include blossoms and algae. I particularly like the play of light and shadow on this hyperbolic surface. That's the reason why I made this one just pure white. The holes created by double and triple stitches allow further light and shadow play. -- Gabriele Meyer