attraction - interaction between mass and the geometry of spacetime,  generated fractal, alu dipond print, 100 x 100cm, print run 3+2ap

Arnold Schmidt

  • Fractal art is a digital art medium that generates pictures, based on geometry and recursion. The American mathematician Benoit B. Mandelbrot discovered the self-similarity in nature and founded a theory of fractal geometry. Mandelbrot ended up with a strong and fundamental idea—put simply, that there are some geometric shapes, which he called "fractals", that are equally "rough" at all scales. No matter how close you look, they never get simpler, much as the section of a rocky coastline you can see at your feet looks just as jagged as the stretch you can see from space.

    All life is supplied by underlying networks. They transport oxygen, food and metabolites. Natural selection produced a design that creates maximum benefits with low effort. The complex structure of nature seems to be based on simple mathematical structures. Looking at the seemingly chaos of a forest one can discover fundamental structures on closer inspection. A structure which can be illustrated and measured by fractal geometry. What can be seen in nature can be translated into math. 

    ​Fractal art follows the opposite path. Pictures are produced by geometry and recursion thereby creation associations with known shapes in all dimensions, from microcosm to macrocosm, from atomic structures to galaxies. They can evoke memories of black holes, colorful meadows, or molecular structures. Yet they are created by formula, geometry and randomness.