Fractals are patterns that repeat themselves at different sizes, creating complex structures from simple rules ... Unlike traditional geometric shapes, fractals can have infinite detail, appearing ...

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

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

Marcus du Sautoy describes how fractal geometry can be used to describe natural objects, and how it is used in digital animation. Trees use the simple rule of trying to maximise surface area ...

Fractals are geometric objects that have a very complicated structure yet are remarkably easy to describe (and to draw with a computer). They are appealing to the eye because of their great amount of ...

Put simply, “Fractals are defined as never-ending patterns that repeat the same basic shape at bigger and ... author of the book ‘The Fractal Geometry of Nature.’” ...

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 ...

The math concept hidden in this tree art — geometric shapes known as fractals — is apparent in ... patterns in trees and generalized it into a simple common formula, according to Fabian ...