Koch fractal with iteration

[drimades]

Look at the pattern. You're modulating by 3, but counting the turn at the end there are four turns: Three turns in the standard sequence, and then a turn in the meta sequence. Keep in mind that you need to look at powers of 4. At 4 you need to go up a level, which will be different. But at 16 you will need to go up two levels, which will be different than going up one level. and so on.

I see the pattern, but still cannot figure out the loop.