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 ...

Fractal planting patterns yield optimal harvests, without central control Bali's famous rice terraces, when seen from above, look like colorful mosaics because some farmers plant synchronously ...

This pattern holds that the movement in a security following a fractal indicating resistance or support, will be in arcs representing key Fibonacci ratios (namely 0.618, 0.382 and 0.500) ...

Fractal patterns that arise when healthy human cells turn cancerous have been observed for the first time by scientists in the US. Using an atomic force microscope (AFM), Igor Sokolov and colleagues ...

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 ...

Fractals are recognized as patterns of self-similarity over varying degrees of scale. There are both mathematical fractals as well as natural fractals—the former are idealized and found across a ...

Fractal patterns develop in conditions that are far-from-equilibrium, or chaotic--systems that are not in a state of rest or balance.

On the brink of the metal-insulator transition, the electrons in a manganese-doped gallium arsenide semiconductor are distributed across the surface of the material in complex, fractal-like patterns.