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Irregular fractals

Essential properties of fractals in mathematics are self-similarity and often existing scale invariance. In the Romanesco Broccoli, self-similarity and scale invariance are evident in the fact that the conical bulges appear again and again in smaller forms.

With mathematical fractals these properties can be exactly fulfilled.

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In chaotic structures I look for patterns that are characteristic for the underlying calculation rule.

If they seem interesting enough to me, the next step is the selection of a suitable colouring.

The calculation rules can be redesigned again and again, they often lead to unexpectedly bizarre fractal shapes with self-similar patterns.
 

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