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 ...

He is known as the "father of fractals" for having discovered one of the most important patterns in nature. When you purchase through links on our site, we may earn an affiliate commission. Here’s how ...

The Mandelbrot set is — when visualized with some colors — an interesting shape with infinite detail. While the patterns are immediately obvious to the human eye, anyone who’s run one can tell you ...

The image above, generated from a relatively simple mathematical formula, has become iconic and permanently connected with the man who identified it: mathematician Benoit Mandelbrot. But its iconic ...

In nature,technology and art the most common form of regularity is repetition: a single element repeated many times, as on a tile floor. But another form is possible, in which smaller and smaller ...