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, ...

How long is a country’s border? That’s the seemingly simple question mathematician Lewis Fry Richardson asked himself more than 75 years ago. The thing that puzzled him was that the length of the ...

The alternative text for this image may have been generated using AI. The link between fractal theory and practical applications to cardiovascular medicine is the fractal dimension (FD), a unitless ...

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 ...

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 ...

Researchers from the University of Cambridge took a big step forward this year in understanding how our brains work. It seems that the brain has a fractal organization. This likely gives us much of ...

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 ...

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 ...