Over on GitHub, [ttsiodras] wanted to learn VHDL. So he started with an algorithm to do Mandelbrot sets and moved it to an FPGA. Because of the speed, he was able to accomplish real-time zooming.

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 ...

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 ...

New, but older than dirt. What are fractals? Where did they come from? Why should I care? Unconventional 20th-century ...

Demin, S A Andreev, A O Demina, N Y and Nefedyev, Y A 2018. Analysis of the terrestrial global digital model using fractal geometry and harmonic expansion into spherical functions. Journal of Physics: ...

Frame, Michael and Neger, Nial 2007. Newton's Method and the Wada Property: A Graphical Approach. The College Mathematics Journal, Vol. 38, Issue. 3, p. 192. Fagella, Núria and Garijo, Antonio 2007.

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 ...