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, ...

Over the last half 50 years, fractals have challenged ideas about geometry and pushed math, science and technology into unexpected areas.

Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated when ...

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 ...

In a world made small and accessible by technology, it is easy to forget the magnitude of nature’s infinite complexity. But sometimes technology reminds us, such as when trawling planet Earth on ...

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 ...

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 ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

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