Fractal on ice: Example of the fractal structures in spin ice together with a famous example of a fractal (the Mandelbrot set), on top of a photograph of water ice. (Courtesy: Jonathan N Hallén, ...

Unexpectedly, the length of a country’s coastline depends on your ruler. As the measuring stick gets shorter (left to right), it can better fit within Great Britain’s nooks and crannies. The shorter ...

ONLY rarely does the dry theorising of mathematicians strike a chord with the public. Most people have heard of Einstein and his famous equation, E=mc 2, or of Isaac Newton and his apochryphal falling ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

Humans are visual creatures. Objects we call “beautiful” or “aesthetic” are a crucial part of our humanity. Even the oldest known examples of rock and cave art served aesthetic rather than utilitarian ...

Quantum physics is too weird for many people to understand, and part of the weirdness is due to some of its counter-intuitive features. For example, many quantum phenomena are bound by Heisenberg’s ...

Scientists have provided the first experimental evidence for fractal light from simple lasers and add a new prediction, that the fractal light should exist in 3D and not just 2D as previously thought.