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 ...

One of the first things everyone does when they get a video camera is to point it at the screen displaying the image, creating video feedback. It’s a fascinating process where the delay from image ...

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 ...

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 ...

An icon in the shape of a lightning bolt. Impact Link This week, Business Insider has been running a series of math tricks, statistical rules and trading patterns that have investors split in two: ...

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 ...