The math concept hidden in this tree art — geometric shapes known as fractals — is apparent in branching patterns in nature ...

By using leaf skeletons as templates, researchers harnessed nature's intrinsic hierarchical fractal structures to improve the ...

In a discovery that brings a legendary quantum theory to life, physicists at Princeton University have directly observed ...

By using leaf skeletons as templates, researchers harnessed nature's intrinsic hierarchical fractal structures to improve the ...

The electrons in a twisted piece of graphene show a strange repeating pattern first predicted in 1976, but never directly measured until now ...

Scientists at Princeton University have made a groundbreaking discovery in quantum materials, revealing that electron energy ...

A quantum version of a fractal pattern, known as "Hofstadter's butterfly," has long been predicted, but the new study marks the first time it has been directly observed experimentally in a real ...

Fractals are self-repeating patterns that occur on different length scales and can be seen in nature in a variety of settings, including snowflakes, ferns, and coastlines.

Ethereum (ETH) price trades today at as of . Despite Bitcoin's (BTC) uncertainty, Ethereum prices today hit a daily high of ...

A simple lab mistake revealed the elusive quantum butterfly, confirming a 50-year-old theory in an unexpected graphene ...

It’s a fascinating process where the delay from image capture to display establishes a feedback loop that amplifies the image noise into fractal patterns. This sculpture, modestly called The God ...