Fractals are exquisite structures produced by nature, ... The classical Euclidean geometry taught in high-school leaves us at a loss to answer this simple question. ... To draw it exactly is ...

Since the 'recipe' for producing fractals is so simple (repeat a certain step over an over again on smaller and smaller scales), they are easily drawn by a computer (not exactly of course, because a ...

But fractals aren’t easy to understand. Benoit Mandelbrot, who coined the term fractal in 1975, summed them up as “beautiful, damn hard, and increasingly useful.” Repeat.

A fractal is like an infinite version of a Russian nesting doll: Zoom in on one, ... quite simple. But the wonders of this object didn’t become clear until March 1, 1980, when mathematician Benoit ...

Fractals are common in nature because of the surprisingly simple way they are made. Mathematically, they also help us make sense of complexity and chaos – and maybe even quantum weirdness ...