By using leaf skeletons as templates, researchers harnessed nature's intrinsic hierarchical fractal structures to improve the performance of flexible electronic devices. Wearable sensors and ...

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

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

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

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 ...

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

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.

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

The math concept hidden in this tree art — geometric shapes known as fractals — is apparent in branching patterns in nature and may be key to humans’ ability to recognize such artwork as ...

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