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 study of complex networks merged with fractal analysis has emerged as a formidable framework for understanding the intricate architecture and scaling properties underlying diverse natural and ...

Understanding how the human brain produces complex thought is daunting given its intricacy and scale. The brain contains approximately 100 billion neurons that coordinate activity through 100 trillion ...

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 ...

This Research Topic highlights recent advances in fractal geometry, fractional calculus, and artificial intelligence (AI) for addressing complex problems in ...

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 ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Frontiers has launched a research initiative inviting studies that integrate fractal geometry, fractional calculus, and AI to address complex earthquake engineering challenges. The call seeks ...