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

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.

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 ...

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 ...

This finding was unexpected. “Despite previous expectations that fractal patterns are associated with cancer cells,” says Sokolov, “we found that fractal geometry only occurs at a limited period of ...

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 time.

Fractal Patterns in Nature and Art Are Aesthetically Pleasing and Stress-Reducing One researcher takes this finding into account when developing retinal implants that restore vision ...

Over the past two years Professor Paul Bourke has scoured all four corners of the world—via Google Earth—to find incredible geometric structures of a similar nature.

Benoit Mandelbrot Coined ‘Fractal Geometry’ by Finding Natural Patterns in the World Mathematician Benoit Mandelbrot coined the term 'fractal geometry' in 1975. Today's Google doodle ...