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.
"Möbius Hanging Gardens," by Tatiana Bonch-Osmolovskaya (Sydney, Australia)
1276 x 1800 pixels, computer graphics, 2011
I use 2D and 3D computer graphics as well as photographs made by myself or my friends, to show the beauty of these objects, thus uniting the intellectual wonder of perceiving a mathematical concept with the aesthetical pleasure of viewing a beautiful image. Hanging gardens of Babylon were built in the desert as a wonder of land amelioration and engineering. In our era humanity continues to perform such wonders, e.g. in desert Australia. While the flowers on my picture, which have grown on the Möbius strip over the Australian plain, were placed there by computer graphics, it is the hard work of those who make the Red Continent green that invokes our admiration. Photographs of Australian views and the Florida festival in Canberra were used in this image. --- Tatiana Bonch-Osmolovskaya (Sydney, Australia, http://antipodes.org.au)