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 ...

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 ...

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 ...

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 ...

What makes a tree a tree? Or rather, why can we recognize trees in even quite abstract depictions when they are so varied in nature? Researchers have found a clue in the branches, and used math to ...

Frax, a new iOS app, leverages the computational oomph in your new iPhone to make dizzying detailed mathematical art. Frax, to its credit, leans right into the “ooh, neat colors!” aspect of fractal ...

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 ...

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 ...