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 ...

Due to their previously discovered fractal nature, financial data patterns are self-similar when scaling up. New research shows that the most extreme events in financial data dynamics-reflected in ...

Predicting the size, location, and timing of natural hazards is virtually impossible, but now, earth scientists are able to forecast hurricanes, floods, earthquakes, volcanic eruptions, wildfires, and ...

Cement-based materials exhibit complex microstructures in which pores, cracks and interfaces often display self-similar, irregular patterns. Fractal analysis provides a powerful framework to quantify ...

"Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line." So writes acclaimed mathematician Benoit Mandelbrot ...

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 ...

Mathematical patterns reveal profound truths about the universe and, surprisingly, about our inner lives as well. These five visual math concepts offer unique frameworks for understanding our behavior ...