What am I looking at?
This is the Mandelbrot set. It is the set of complex numbers \(c\) for which the function
\(f_c(z) = z^2+c\) does not diverge when iterated from \(z=0\). Here's a
video by Numberphile
which explains what's going on.
If you're happy just playing then click and drag a box to zoom in, hit reset to zoom out, or change the colours!
If you love an image you've found within the set, click "view image to save" and you'll be taken to a new tab/window with the image. You can then right click and save to your computer.