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

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 ...

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.

Exploring fractal basics Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quic… ...

A fractal is a geometric entity whose basic patterns are repeated at ever decreasing sizes. For example, a river system is an approximate fractal pattern as the channels branch off into progressively ...

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 ...

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.

Geometric patterns are considered fractal when they repeat or look the same at every size scale. In a forthcoming paper in Physical Review E, MIT’s Barry Cael and his co-authors describe how the ...

Do artists and scientists see the same thing in the shape of trees? As a scientist who studies branching patterns in living ...

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 ...