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.
"Hexahedron 2," by Dorothy McGuinness (Everett, WA)
Watercolor paper, acrylic paint, polyester thread, 38 x 38 x 38 cm, 2014
I create forms art of diagonal twill and structures not normally found in the basketry world. My medium for this unique work is watercolor paper, which I've painted and cut into very narrow uniform strips to achieve the precision I seek. I am very much interested in the math and geometric constraints of the work. Using hundreds of strips of paper at a time, I explore new structural forms. An interpretation of a hexahedron using diagonal twill to form a woven sculptural basket. --- Dorothy McGuinness