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.
"Moore's Parterre," by Lana Holden (Skew Loose, LLC, Terre Haute, IN)
60 x 60 cm, cotton, wool, polyamide, and silk yarn, 2014
The essence of Bruges crochet technique is the making of a crocheted tape that is shaped as it is made into a curve to form dense lace. I became interested in exploring it for creating space-filling curves. I experimented with the classic Hilbert curve for early studies, but chose Moore's variation for the larger work for a couple of reasons. First, the inherent symmetries of Moore curves are aesthetically pleasing. More importantly, in Moore curves, the starting point and endpoint are adjacent points, allowing the piece to be a closed loop. (Can you find the join?) The long color sections of the yarn used display the point clustering properties of Hilbert/Moore curves. --- Lana Holden