How to Animate a Mandelbrot Zoom

Questions
1

Hello,

I’m trying to recreate a Mandelbrot zooming animation like the one in this link. I’d like for my students to see the code, otherwise I would just use this youtube video.

Any ideas to get me started? I’d like to be able to go deep in iterations like in the video. If this is not possible in Mathematica… how is it done? Any help would be appreciated. Thank you!

2

I’d start here:

Not sure how deep you can go, but it’s worth exploring, especially as you don’t have to write the base Mandelbrot set code to get going.

3

Thank you!