BEND, Ore. (KTVZ) -- Nature is alive with a special type of pattern called fractals. From the smallest ice crystal to the vastness of the galaxy, fractals are the building blocks of the natural world.

Breathe. As your lungs expand, air fills 500 million tiny alveoli, each a fraction of a millimeter across. As you exhale, these millions of tiny breaths merge effortlessly through larger and larger ...

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 ...

You may not be able to define “fractal” — yet — but fractals are, in fact, everywhere. As you might expect from hearing her title, Hayley Brazier, Donald M. Kerr curator of natural history at the High ...

Shea Gunther is a writer, entrepreneur, and podcaster living in Portland, Maine. He covers topics such as renewable energy, climate change, and nature. Romanesco broccoli (which, despite its name, is ...

Nature is brimming with beautiful patterns, like the seemingly complex shapes of snowflakes, coastlines, clouds and seashells. But zoom in, and you'll see fractals, meaning the same, simple pattern ...

Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...

Fractal calculus represents a significant extension of traditional calculus, providing a robust framework for the analysis of functions defined on irregular, non-differentiable fractal sets. This ...