Fractal on ice: Example of the fractal structures in spin ice together with a famous example of a fractal (the Mandelbrot set), on top of a photograph of water ice. (Courtesy: Jonathan N Hallén, ...

Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones based on natural things, like the silhouette of a tree or fur pattern of an ...

Fractals, shapes comprised of self-similar parts, are not merely prescribed linear structures. A wide class of fractals can also arise from the rich dynamics inherent to nonlinear optics. Although ...

A fractal, according to Franco-Polish mathematician Benoît Mandelbrot, is ‘a way of seeing infinity’. Simply put, it is a pattern that appears to self-replicate indefinitely, constantly reproducing an ...

Video feedback occurs whenever a video camera is directed at a screen displaying the image currently being recorded by the camera. It can be observed in everyday situations, for example at sporting ...

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 ...

Unexpectedly, the length of a country’s coastline depends on your ruler. As the measuring stick gets shorter (left to right), it can better fit within Great Britain’s nooks and crannies. The shorter ...

ONLY rarely does the dry theorising of mathematicians strike a chord with the public. Most people have heard of Einstein and his famous equation, E=mc 2, or of Isaac Newton and his apochryphal falling ...