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

This property, where the same geometric pattern appears at every scale within a shape (known as self-similarity), gives Romanesco cauliflower its remarkable "fractal" character. How have genetic ...

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

Put simply, “Fractals are defined as never-ending patterns that repeat the same basic shape at bigger and smaller scales.” Scientists, mathematicians and other experts have discovered fractals ...

By removing all but the most essential elements in an abstract painting, Mondrian demonstrated something I was attempting to explain using physics and fractal geometry. My field of research is ...

Researchers from Max Planck Institute and Philipps University in Marburg have discovered the first fractal structure at the ...

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 ...

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