“Burning Ship” fractal
The images described here are generated by analysing the following series for each point (c x ,c y ) on the plane.
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The images described here are generated by analysing the following series for each point (c x ,c y ) on the plane.
The following is based upon systems of equations found in "Symmetry in Chaos, A Search for Pattern in Mathematics, Art, and Nature" (the second edition) by Michael Field and Martin Golubitsky. They ask the question whether there are aperiodic chaotic attractors that generate symmetric patterns? Can there be order…
The source code implementing the projections below is only available on request for a small fee. It includes a demo application and an invitation to convert an image of your choice to verify the code does what you seek. For more information please contact the author .
The following is a "photographic" gallery of fractal patterns found while exploring the planet with Google Earth. Each is provided with a KMZ file so the reader can explore the region for themselves. Readers are encouraged to submit their own discoveries for inclusion, credits will be included. Besides being examples…
Contribution by Philip Ham: attractor.basic and Python implementation by Johan Bichel Lindegaard.