The simplicity of the stains' repeating patterns is key to why we see so many images in them. It’s easy to see familiar shapes in seemingly random patterns. Witness how many people see faces in clouds ...

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 ...

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 ...

Although fabrication of complex fractal structures remains immensely challenging in the lab, it is commonplace in nature: snowflakes, lightning and the shell of the nautilus sea creature all show ...

The images in this gallery of natural fractal patterns on earth, viewed from space, have been curated from Google Earth by professor Paul Bourke. Egypt In a world made small and accessible by ...

Pour milk in coffee, and the eddies and tendrils of white soon fade to brown. In half an hour, the drink cools to room temperature. Left for days, the liquid evaporates. After centuries, the cup will ...

In the final chapter of our book*, we briefly discussed the impact of fractal patterns on stress. That's important because stress can interfere with our ability to experience happiness. Yet, what is ...

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American ...

That discovery emerged among children who've been raised in a world of Euclidean geometry, such as houses with rooms constructed with straight lines in a simple non-repeating manner, said the study's ...