A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.” ...

We’re finding infinitely complex, self-similar shapes all over creation. And we’re just getting started. The world is full of beautiful geometry. It’s something we start teaching our youngest children ...

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American ...

Fractal properties in complex network systems arise when connectivity patterns exhibit self-similar structures across multiple scales. Such networks lack a characteristic scale, meaning that ...

If you came across an animal in the wild and wanted to learn more about it, there are a few things you might do: You might watch what it eats, poke it to see how it reacts, and even dissect it if you ...