Fractal geometry is also common in chemistry ... Because of their arborescent nature and unique reddish-brown color, copper crystals are often grown for art. Rivers branch out into streams ...

Fractals are sometimes referred to as a “visual representation of math.” They can be observed in the spatial arrangements found in many familiar forms, patterns, and shapes in nature: from ...

Benoît Mandelbröt, The Fractal Geometry of Nature In 1861, the discovery of the world’s first fractal sent shockwaves through the mathematical community. If you pick up a pen and doodle a zig ...

But, in an echo of their geometry, fractals can help us better understand the world on many levels. Let’s start with the familiar: fractals in nature. “They are all around us – in trees ...

Crudely, you can make anything have a fractal nature if you exert a random cyclical ... which is another insight fractal geometry holds out to the curious.

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 ...