To complement the last post, I've created a graph with the multiplier \( 1-0.1i \) over the region \( -1 \le \Re(z) \le 6 \) and \( -3.2 \ge \Im(z) \ge -9 \). This graph was done with further iterations, but it's slightly less accurate; we can see the Devaney hairs more exactly. It is very similar to the case when the multiplier is \( 1 + 0.1i \); but we reflected the \( z \) value. I graphed this a tad more accurately; but it produced more errors elsewhere. Nonetheless, the hairs look nice; even if they're slightly exaggerated.
All we've really done, in a mapping sense, is rotate the angle slightly to down. And; we've received a slight error in the code, where the Devaney Hairs are exaggerated.
All we've really done, in a mapping sense, is rotate the angle slightly to down. And; we've received a slight error in the code, where the Devaney Hairs are exaggerated.