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

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 ...

From thunderous mountain landscapes viewed from above to the erratic trajectories of Brownian motion, fractal patterns exist at many scales in nature. Physicists believe that fractals also exist in ...

Studying the intricate fractal patterns on the surface of cells could give researchers a new insight into the physical nature of cancer, and provide new ways of preventing the disease from developing.

Fractal Patterns Offer Clues to the Universe's Origin A new look at a ubiquitous phenomenon has uncovered unexpected fractal behavior that could help explain the birth of the universe and the arrow of ...

A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...

In a world made small and accessible by technology, it is easy to forget the magnitude of nature’s infinite complexity. But sometimes technology reminds us, such as when trawling planet Earth on ...

Despite bacterial colonies always forming circular shapes as they grow, their cells form internal divisions which are highly asymmetrical and branched. These fractal (self-similar) patterns are due to ...