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Fractals

Fractals are the most important topic in my artistic work so far. My fascination started when I had 2 key experiences where I was able to perceive the self-similar structures behind the architecture of manifestation. The beauty, the energy and power of these experiences overwhelmed me. I suddenly felt and had a deep connection to the structures and patterns that are everywhere in nature. They are intelligent fields - blueprints of creation processes in which matter manifests into. Since then these insights and perceptions have become an important element in my artistic work and films.




About Fractals

So what are fractals as we know them? The word „Fractal“ (from Latin: fractus = broken) means fragmental, broken, splintered, irregular. In current usage it describes that within a certain system, elements of different magnitude or dimension are similar to each other or identical. In that sense the term should rather be “fractality” since it is not an object or item, but rather a property which an object, a system or a principle can have. We observe this in nature everywhere, for instance a tree has a fractal structure, since the branches are similar to the boughs and the boughs are similar to the ramifying tree stem. In that case the branching would be the fractal principle.

In vairous ancient cultures over the world we are able to find Fractals in Art, Architecture and on religious images. But only since the 1970s computers have created the possibility to iterate and visualize complex numbers, which resulted in the fractal images we know today. These images show baffling similarities to structures from all of nature and did not only fascinate artists, but also aroused the attention in the world of math and science. Fractals have contributed to the emergence of new fields of research and are today not longer expandable in many different disciplines, such as biology, medicine, astronomy, chaos research. Within the film industry they are the foundation for animating clouds, landscapes, textures, water surfaces and similar.



How are fractals created?

Using the computer there are two main ways to create fractals: one is through algebraic iteration (repeat) and the other one is through geometric iteration. The most famous fractal, the Mandelbrot-set or also the Julia-set, are generated by putting complex numbers into simple formulas, which means it is created algebraic.



On the other hand images like the Sierpinski triangle is being generated by geometric iteration. A common and popular way to create fractals is to use an IFS = Iteration Function System, which is based on the geometric iteration of pixels. This means that a geometric operation is being repeated thousands and millions of times using pixels or dots. Especially fascinating is that the images created this way often have an organic, natural or even chaotic look, even though they were constructed strictly following exact geometric operations. These images allow us a deeper look into the essence of nature and also a look into areas of creation, which are usually hidden from our sensual perceptions.