Complex numbers you just go sideways as well, and if you multiply you not only stretch or squish your path to the origin, you also change your angle to it by ad

Complex numbers you just go sideways as well, and if you multiply you not only stretch or squish your path to the origin, you also change your angle to it by adding both angles together. Exponentiation is then doing this continuously, so you end up walking in a circle. That’s it.