Oliver Wendell Holmes famously once wrote, "A mind that is stretched by a new experience can never go back to its old dimensions." My mind, and assuredly those of countless others, never did after ...

Fractals, self-replicating patterns seen at varying scales, are a fascinating phenomena found widely in nature, from snowflakes to ferns and coastlines. But did you know that fractals can also be used ...

Fractals are sometimes referred to as a “visual representation of math.” They can be observed in the spatial arrangements found in many familiar forms, patterns and shapes in nature: from the ...

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 ...

What makes a tree a tree? Or rather, why can we recognize trees in even quite abstract depictions when they are so varied in nature? Researchers have found a clue in the branches, and used math to ...

As Sigmund Freud made very clear, human beings are compelled to repeat patterns—the repetition compulsion. Patterns laid down early in life are propelled forward to recreate the familiar that can be ...

Fractals commonly show up in nature, from spiral-shaped seashells to heads of cauliflower. Now physicists have found these complex, self-repeating patterns in a very unnatural spot: laser light. Peer ...

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 ...