Fractal Home
Intro – Fractals & Chaos
Via the navigation bar on the left-hand side you can access most of my fractal-related offerings.
Please also visit my fractal gallery.
At this point, I do not intend to explain the terms fractals and chaos.
Rather, I assume that you are already familiar with them and are now—like me—looking for new and interesting algorithms,
images, and ideas related to the topic. I am interested in exchanging ideas and insights.
Hyperbolic fractal ornament
Many tools for fractal generation can be found here. Most of the JavaScript source code of these machines can be downloaded freely. Some fractal programs can be used as inspiration for new developments (source files are available on request):
- The Feigenbaum machine can generate various diagrams for predefined and user-defined iterators and can also produce Lyapunov representations.
- Line fractals are created using the Lindenmayer program.
- The third program is entirely dedicated to Lyapunov fractals.
There are more… if you are interested, please get in touch.
For students, pupils, and teachers, I also offer some self-developed teaching materials and interactive courses on fractals and the chaos game. In addition to my main area of interest, Iterated Function Systems (IFS) in connection with fractals and the chaos game, you will also find pages on other methods of fractal generation. Attached are several German-language works related to fractal world materials, provided by external authors (see essays). Hyperbolic ornaments are also among my areas of interest.
Iterated Functions Systems (IFS) are my special interest. I use IFS to create fractal images. So more than one section is dedicated to that subject. You'll find information about the chaos-game and interactive pages for exploring simple and complex iteration machines forming beautiful attractors. You may download the Javascript source codes of my machines. The subject Hyperbolic Ornaments (watch the image above) combined with fractals is another interest.
A Fractal Tree