This is a video where the fractal patterns of the Mandelbrot set change smoothly while sparkling against a background that ...

Cities are strange mathematical objects. They grow, expand, and interconnect in ways that stubbornly refuse to obey the tidy ...

In physics, it is well-known that electrons behave very differently in three dimensions, two dimensions or one dimension. These behaviours give rise to different possibilities for technological ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. Benoit Mandelbrot, the Polish-born, French and American mathematician, ...

When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...

Though now extinct, ammonoids (a group of marine mollusks with shells) evolved for 350 million years, always with a tendency toward increasingly elaborate shell structures. Scientists have studied ...

Researchers in India have unveiled an audio watermarking system that combines non-overlapping segmentation, wavelet-domain ...

A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

Benoit Mandelbrot was a maverick mathematician who is widely known as the “father of fractal geometry.” Mandelbrot coined the term in 1975 to describe a new branch of geometry that sought to make ...