A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

Fractal patterns that arise when healthy human cells turn cancerous have been observed for the first time by scientists in the US. Using an atomic force microscope (AFM), Igor Sokolov and colleagues ...

The images in this gallery of natural fractal patterns on earth, viewed from space, have been curated from Google Earth by professor Paul Bourke. Egypt The images in this gallery of natural fractal ...

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You may not be able to define “fractal” — yet — but fractals are, in fact, everywhere. As you might expect from hearing her title, Hayley Brazier, Donald M. Kerr curator of natural history at the High ...

The laws that govern how intricate surface patterns, such as those found in the cauliflower, develop over time have been described, for the first time. Researchers have now provided a mathematical ...

When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

Finally, to cope with fractals at all – you need knowledge not only of fractal geometry but also of chaos math. The latter enables you to establish inter alia that 1. trading is not a chaotic system ...