Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

(PhysOrg.com) -- What do mountains, broccoli and the stock market have in common? The answer to that question may best be explained by fractals, the branch of geometry that explains irregular shapes ...

Have you ever stared at a cauliflower before preparing it and got lost in its stunningly beautiful pattern? Probably not, if you are in your right mind, but I reassure you it's worth a try. What ...

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 ...

Fractals, shapes comprised of self-similar parts, are not merely prescribed linear structures. A wide class of fractals can also arise from the rich dynamics inherent to nonlinear optics. Although ...

And these have smaller still to bite 'em, And so proceed ad infinitum. —Jonathan Swift, from "On Poetry: A Rhapsody" The satirist and author of Gulliver's Travels might have been talking about ...

The mathematician Stephen Wolfram made a bold pronouncement last summer: The universe, in all of its infinite complexity, is the result of less than a handful of computational rules. That is, you ...

Computer simulations of electrical charges sent to retinal implants based on fractal geometry have researchers moving forward with their eyes focused on biological testing. Computer simulations of ...