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 ...

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 ...

Drawn from the irregular shapes and processes found in nature, his research benefited a wide array of fields, from art to physics and finance. Steven Musil is a senior news editor at CNET News. He's ...

Fractal geometry introduces a paradigm in which spacetime exhibits scale-dependent structure characterised by non-integer dimensions. In quantum cosmology, such structures arise naturally when ...

In 1967 mathematician Benoit Mandelbrot observed that the coastline of Great Britain is impossible to measure—its perimeter gets longer the more closely you measure it. At that point he was eight ...

Fractal interpolation functions (FIFs) arise from the marriage of classical interpolation and fractal geometry, yielding curves that exactly pass through prescribed data points while exhibiting ...

Have you ever stared at a cauliflower before preparing it and got lost in its stunningly beautiful pattern? Probably not, if you are in your right mind, but I reassure you it's worth a try. What ...

NARRATOR: You can find it in the rain forest, on the frontiers of medical research, in the movies, and it's all over the world of wireless communications. One of nature's biggest design secrets has ...

Researchers at the Polytechnic University of Hauts-de-France have used fractal mathematics to create a new non-invasive method that can distinguish genuine artworks from forgeries (Surf. Topogr.: ...

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 ...