Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above.

Fractal geometry is one of the most elegant and beautiful branches of mathematics. An early analysis of fractals came from a surprising and weird phenomenon that occurs when you try to measure a ...

In a perfect world, everything you try to clamp in a vise would have nice straight sides. The world isn't perfect, though, ...

The latter features spirals made of small conical pyramids called florets, each resembling the overall conical shape of the whole vegetable. Each of these florets is also composed of spiral ...

Fractals are known as geometric shapes that display similarity through the full range of scale—that is, they look the same no matter how big or how small they are.

Fractal geometry can also provide a way to understand complexity in "systems" as well as just in shapes. The timing and sizes of earthquakes and the variation in a person's heartbeat and the ...

Fractal geometry is the mathematical offspring of chaos theory; a fractal is the pattern left behind in the wave of chaotic activity. That single geometric pattern repeats thousands of times at ...

WEST LAFAYETTE, Ind. — A cross-like shape helps the electrodes of implantable neurostimulation devices to deliver more charge to specific areas of the nervous system, possibly prolonging device life ...

I claim that variations in financial prices can be accounted for by a model derived from my work in fractal geometry. Fractals—or their later elaboration, called multifractals—do not purport ...