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.
"Grey Moon Rising," by Klaus-Peter KubikMany fractal formulas and algorithms produce conventional geometric figures with certain parameters. For example, the Julia set iterated using the origin as its parameter produces a circle. The style of Klaus-Peter Kubik is focused on producing conventional geometric figures using fractal techniques. He likes to explore the combinations of the simple figures of circles and squares with attractive shapes for the viewer. He also exploits the possibilities of fractal geometry to create textures. The rough, grey texture of the circle symbolizes the surface of the moon while the vertical and horizontal lines, similar to those made with a pencil, emphasize the geometric structure of the image. Klaus-Peter Kubik works for the German government in the public health field and has participated in nearly a dozen exhibitions since 1994.