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

“I found it a highly stimulating read, with an interesting connection between works of art and biology.” In nature, fractal ...

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

Blood vessels in tumors regressing after hormone removal had the notable characteristics of not only reducing their overall density but also returning to fractal scaling and function similar to ...

Herein, we fabricate an enhanced fractal self-pumping dressing by floating and accumulating hollow glass microspheres in the hydrogel precursor, that can continuously drain water at a non-declining ...

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 ...

A fractal butterfly pattern produced by an unusual configuration of magnetic fields, first predicted almost 50 years ago, has been seen in detail for the first time in a twisted piece of graphene.

Insulin is a hormone that allows glucose in the blood to enter cells, providing them with the energy to function. A lack of adequate insulin plays a key role in the development of diabetes.

It revealed that mathematics is full of monsters: impossible-seeming functions, strange objects (it’s one of the earliest examples of a fractal), wild behaviors. “There’s a whole universe of ...

You may not be able to define “fractal” — yet — but fractals are, in fact, everywhere. As you might expect from hearing her title, Hayley Brazier, Donald M. Kerr curator of natural history ...

ABSTRACT: In the past years, we established analytic expressions of various fractals and discussed Hölder derivatives of the expressions. Based on our earlier results, we will study the properties of ...