(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 ...

Fractals are sometimes referred to as a “visual representation of math.” They can be observed in the spatial arrangements found in many familiar forms, patterns and shapes in nature: from the ...

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 ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

Michael Rose does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

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 ...

Quantum physics is too weird for many people to understand, and part of the weirdness is due to some of its counter-intuitive features. For example, many quantum phenomena are bound by Heisenberg’s ...