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, ...

Cancer chaos: These AFM images of surface patterns on human cervical epithelial cells show the fractal property of self-similarity. As the image magnification increases (top left, top right, bottom ...

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 ...

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American ...

A fractal is any geometric pattern that occurs again and again, at different sizes and scales, within the same object. This "self-similarity" can be seen throughout nature, for example in a ...

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.

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 ...