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.
"Asundriana," by Janet ParkeJanet Parke, born in Memphis (USA), has passed the major part of her life as a ballet dancer, choreographer, and dance professor. In 1999 she began to exhibit and sell her fractal art, characterized by an extraordinary sensitivity and coloring style unknown until then. Janet Parke replaces the characteristic loud and bright colors of the first generations of fractal art with smooth, rich tones and delicate shades. Her style will be imitated by a new generation of fractal artists. "Asundriana" is based on a variant of the Julia set ( z -> z-squared + c ) such that the parameters c and z are manipulated to produce distortions in the typical spiral structures of this set. The name of the image comes from the word asunder, since the structure of the image seems to fold into and separate from itself.