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, ...

An international team of researchers led by groups from the Max Planck Institute in Marburg and the Philipps University in Marburg has stumbled upon the first regular molecular fractal in nature. They ...

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 ...

Fractals were originally introduced by Mandelbrot 1 to describe the fractal behaviors of similar geometries in disordered and irregular objects such as the natural coastlines 1,2,3, phenomena in ...

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 ...

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 ...

Matt Metcalf is spending his summer doing math and hoping for a “Eureka!” moment. His ultimate goal is to generate original fractal tilings, they study of which may someday be used by video game ...

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 ...