This puzzle is part of the Monthly Topic Challenge #1: Restricted Title: xkcd 1xxx
Why is this taking so long to load?
Relevant stillframes (can be solved without the .gif, but the animation does contain one hint)
Hints:
Looking at the GIF, you can see that the current shape is always offset by about 30° after each anti-clockwise rotation. No further information from the GIF is needed, everything else is also in the PNG.
Black lines will need to be added to the shape