Twigs, corkscrews, bank buildings: A photographer would be hard-pressed to find drabber subject matter. But in Paul Cook’s hands, even these most unremarkable sights assume remarkable optical effects.

Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated when ...

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 ...

Geometry in ecological patterns of landscape and vegetation is not truly fractal, and varies across a range of scales, whereas fractal geometry provides tools for predicting and describing ecological ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

The mathematician Benoît Mandelbrot is best known for his work in the field of fractal geometry. He told me that when he was seeking a word to describe his geometry, thumbing through his son's Latin ...