**Another layer of duct tape...**

The "

**define:**" function in Google returns sites which define what you are looking for:

Google Search: define:mandelbrot set

But note that omitting the ":" produces different results. You get a definition at the top, before the first results, with a "More definitions" link.

Google Search: define mandelbrot set

*Discovered much later than Julia sets, it is generated by taking the set of all functions f(Z)=Z^2+C, looking at all of the possible C points and their Julia sets, and assigning colors to the points based on whether the Julia set is connected or dust (cf Prisoners and Escapees -- Julia Sets Discussion).*

Of course, now you need Google Search: define:Julia set.