[mistermumble]

Thanks for the pointer to the video ("E to the Pi for Dummies" by Mathologer). It is definitely worth watching. Much more understandable, imho, than the one referenced at the top of this thread.

Your text summary of the video is accurate and likely makes sense to some people but not so much for others (namely, me).

Tour words are hard to grok until you see the visual depiction --- until you see the sequence of n transformations become a spiral arrangement of triangles that ends up approximating the (-1, 0i) point in the complex plane.