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, ...

Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...

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 ...

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 ...

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 ...

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, ...

Scientists have provided the first experimental evidence for fractal light from simple lasers and add a new prediction, that the fractal light should exist in 3D and not just 2D as previously thought.

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 ...