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.
"Symmetric Koch Curve II," by Vincent J. Matsko (University of San Francisco, CA)
25 x 25 cm, digital print, 2016
The algorithm used to create this image is the same as that used to recursively define the Koch curve. In this case, the circle is divided into 336 parts (rather than 360 degrees), and the angles used in the algorithm are 283 and 179 of these parts (rather than 60 and 240 degrees). In this case, the curve is bounded, consists of 10,752 segments, and possesses 42-fold symmetry. More information. --- Vincent J. Matsko