Oliver Wendell Holmes famously once wrote, "A mind that is stretched by a new experience can never go back to its old dimensions." My mind, and assuredly those of countless others, never did after ...

Pushed down to a certain scale, the laws of physics seem to fall apart. Astrid Eichhorn, a leader in an area of study called asymptotic safety, thinks we just need to push a little further.

You may not know what fractals are, mathematically speaking, but you know what they look like: tangled, crenelated forms bending and burbling in on themselves into infinity in a geometric, yet weirdly ...

Unexpectedly, the length of a country’s coastline depends on your ruler. As the measuring stick gets shorter (left to right), it can better fit within Great Britain’s nooks and crannies. The shorter ...

Here’s a fun project that my friend Upasana and I put together some weekends ago. It’s a visual exploration of fractals through dance, a piece of generative art that’s part performance and part ...

As a mathematical concept, the fractal can be intimidating. Benoit Mandelbrot, the Polish-born mathematician who coined the term, defined a fractal as “a rough or fragmented geometric shape that can ...

I've loved fractals since I was a kid. I remember writing lots of programs to generate them when I was in high school, including (just because I could) programming my graphing calculator to display a ...

Topological insulators for light have been created using fractal patterns instead of conventional lattice structures. The fractal photonic topological insulators (PTIs) were made by an international ...

Fractals, self-replicating patterns seen at varying scales, are a fascinating phenomena found widely in nature, from snowflakes to ferns and coastlines. But did you know that fractals can also be used ...