Fractal on ice: Example of the fractal structures in spin ice together with a famous example of a fractal (the Mandelbrot set), on top of a photograph of water ice. (Courtesy: Jonathan N Hallén, ...

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 ...

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 ...

(Nanowerk News) The nature and properties of materials depend strongly on dimension. Imagine how different life in a one-dimensional or two-dimensional world would be from the three dimensions we’re ...

ONLY rarely does the dry theorising of mathematicians strike a chord with the public. Most people have heard of Einstein and his famous equation, E=mc 2, or of Isaac Newton and his apochryphal falling ...

Matt Metcalf is spending his summer doing math and hoping for a “Eureka!” moment. His ultimate goal is to generate original fractal tilings, they study of which may someday be used by video game ...