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 geometry offers a rigorous framework for describing irregular and self-similar structures that are ubiquitous across nature and technology. This field has profoundly influenced our ...

A bacterium has evolved an enzyme that assembles in a fractal structure, a mathematical pattern that repeats itself at smaller scales. Fractal patterns are found throughout nature on large, ...

Over the last half 50 years, fractals have challenged ideas about geometry and pushed math, science and technology into unexpected areas.

Centuries after Leonardo watched a heart beat, a fresh answer is taking shape. A new wave of imaging, genetics, and computation shows that the fine mesh of muscle lining the heart—called ...