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 ...

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 ...

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 ...

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 ...

Can we learn everything about the brain by studying individual brain cells? It started with a simple equation. In 1980, a mathematician named Benoit Mandelbrot working for IBM plotted the behavior of ...

At the start of The Fractalist is a photograph dated June 1930. In a Jewish family's apartment in Warsaw, four Polish mathematicians are hosting a meal for an honoured guest — French mathematician ...