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.
"Fire, Water, Soil and Air," by Mehrdad Garousi (Artist and photographer, Hamadan, Iran)
Digital art print, 21" x 24", 2009. This complex 3D object consists of four identical but differently colored separated tape-like shapes that have been interwoven with each other. The result of this arrangement is a six-pointed shape with some kind of unusual symmetry. Each of four separated constitutive parts and also the shapes at all six arms of the final complete form are exactly the same, but their different arrangement is the reason for the final unusual symmetry. It’s a long time that I have worked with traditional hands-on art, and I feel much interest in the probabilities and capacities of the new generation of computer aided or generated arts. However, the main field in which I am being drowned is fractal art. Recently, I have been attracted strongly by mathematical sculpting, especially by means of wonderful software such as Topmod. These kinds of software considerably ease the imagination of complex mathematical shapes, and playing with them can be done without any limitation other than the mind. Initially, I create my basic shapes in software like Topmod and do arrangements, adjustments, texturings, and final renders as final realistic sculptures in render engines like Modo. I hope to have the luck to make some of them in the real world in large scale." --- Mehrdad Garousi (Artist and photographer, Hamadan, Iran) http://mehrdadart.deviantart.com