Hundreds of regular patterns spontaneously emerge on a small germanium chip. A curiosity about tiny dots on a germanium wafer ...

There are moments in the history of human thought when a simple realization transforms our understanding of reality. A moment ...

Trees depicted in famous artworks across a range of styles follow the same mathematical rules as their real-life counterparts ...

In nature, fractal patterns aren’t just aesthetically pleasing ... said Richard Taylor, a professor of physics at the University of Oregon. “Although focusing on trees, the article is tackling ...

Fractals are self-repeating patterns that occur on different length scales and can be seen in nature in a variety of settings ... the work uncovered features of Hofstadter’s spectrum that are of ...

Curiosity about a mistake that left tiny dots on a germanium wafer with evaporated metal films led to the discovery of beautiful spiral patterns etched on the surface of the semiconductor by a ...