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, ...

(PhysOrg.com) -- What do mountains, broccoli and the stock market have in common? The answer to that question may best be explained by fractals, the branch of geometry that explains irregular shapes ...

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 ...

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American ...

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 ...

A graduate of MISIS University confirmed the hypothesis that the onset of an earthquake can be predicted in six months using fractal geometry methods, analyzing the peaks of seismic activity and their ...