The first time I discovered the Mandelbrot set was an incredibly emotive and beautiful experience. I immediately moved to Wikipedia to further research it, where I found out about the Julia fractal sets that can be formed from the same equation by seeding it with a specific complex number.

Then I found this image mapping Julia sets on the complex plane by their seed values.

http://en.wikipedia.org/wiki/File:725_Julia_sets.png

I actually broke down and cried.