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)
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