He wanted to delve deeper into the world of FPGAs, so [Mike] figured the best way to do so would be to use one to program a Mandelbrot fractal engine. He started out with a goal of creating a 640 ...

The image of the Mandelbrot set is one of the most recognizable representations of a fractal. But what's behind the entrancing picture? In this interactive, learn a bit about how we generated our ...

As it happens, these four lines can serve as a perfect metaphor for the infinitely detailed, "self-similar" nature of fractals. In this interactive, zoom deep into a Mandelbrot set, the most ...

Not just any program, mind you; one that would generate a Mandelbrot fractal on a line printer. The IBM 1401 is an odd beast. Even though it’s a fully transistorized computer, these transistors ...

They replicate very simple processes over and over to create seemingly-complex patterns. The term ‘fractal’ itself was coined by Benoit Mandelbrot, who was also born in Poland (in Warsaw in 1920).

This software will also compute the Julia sets for these polymonials (click on Calculation -> Fast Julia Mode when viewing one of the Mandelbrot^n images (under Fractal). Click on the image for a ...

Mandelbrot explored this fractal property of infinite complexity in his work, which was then taken up by a digital animator to create extremely life-like surfaces in his films. This clip is from ...

What makes a system chaotic? Fractals; drawing fractals, fractal dimension. Strange attractors. Julia sets. The Mandelbrot set. - And more. Along the way we will look at the historical development of ...

Many fractals, like the Mandelbrot set above, come from intricate mathematical equations. But some are much simpler and easier to construct. One straightforward but still fascinating fractal is ...

French mathematician Benoit Mandelbrot used an early form of computer imagery to produce his own versions, coining the recurring shapes fractals. This installment of the PBS series "Nova" examines ...