Fractals are patterns that repeat themselves at different sizes, creating complex structures from simple rules. They are ...

This property, where the same geometric pattern appears at every scale within a shape (known as self-similarity), gives ...

The math concept hidden in this tree art — geometric shapes known as fractals — is apparent in branching patterns in nature and may be key to humans’ ability to recognize such artwork as ...

The image of the Mandelbrot set is one of the most recognizable representations of a fractal. But what's behind the entrancing picture? In this interactive, learn a bit about how we generated our ...

A gorgeous solution to a common problem... This mesmerizing mechanical vise adjusts its shape to hold oddly shaped items still without damaging them, using a design first patented more than a century ...

Marcus du Sautoy describes how fractal geometry can be used to describe natural objects, and how it is used in digital animation. Trees use the simple rule of trying to maximise surface area ...