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 ...

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.

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 ...

A gallery of images spawned by the theories of the innovative mathematician, who died Oct. 14 at the age of 85 The Mandelbrot set, which is most commonly represented by the above illustration, ...

Research shows fractal dimensions of microseismic energy can identify roof damage and predict rock bursts, improving mining safety and operational efficiency.

But scientists in China have developed a clever solution using the mathematics of nature—fractal geometry—to make car audio ...

High-resolution imaging and 3D computer modeling show that the dendrites of neurons weave through space in a way that balances their need to connect to other neurons with the costs of doing so. The ...