Scientists have studied trees depicted in various works of art and found they follow relatively simple mathematical rules ...

Researchers observed a long-predicted fractal energy pattern in twisted carbon materials, confirming quantum theories.

A team of scientists from Princeton University has measured the energies of electrons in a new class of quantum materials and has found them to follow a fractal pattern. Fractals are self-repeating ...

Hailed as the man who reshaped geometry, French-American mathematician Benoît Mandelbrot first coined the word “fractals” to ...

Kerr curator of natural history at the High Desert Museum, does know a lot about fractals, including the definition, as the curator of “Patterns at Play: Fractals in Nature,” a new exhibit ...

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

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 ...

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 ...