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.
This is from my Facebook album titled Reinterpretations. This means the photos have been modified using the well-known program by Adobe. In general I shrink the horizontal dimension, darken the highlights a little, increase the contrast, shift the blue/red balance towards the blue, and increase the colour saturation. The grid of hexagons was surveyed working outwards from the centre, then the fractal exterior was added. --- Simon Beck (http://www.facebook.com/snowart8848)