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

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 ...

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.

This can then combine with two more to form a 54-monomer shape, which is again triangular and resembles a Sierpiński triangle ...

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 ...

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 ...

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 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 ...