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.
A curve which is defined through a fractal subdivision process, and then smoothed out, is drawn from the top of the canvas to the bottom. This curve then sweeps from the left of the canvas to the right, as it morphs into other similarly defined fractal curves, and intermittently changes from red to white. Some mathematical tricks are used to create the most turbulence in the middle of the picture, while maintaining fixed straight edges along the sides of the rectangle. --- Daniel Gries (Hopkins School, New Haven, CT)