Euler's formula with introductory group theory

Two years after uploading the first video, I wanted to revisit the same topic.  For one thing, I just talk way too fast in the first one, and I think many of the animations are unclear.  But more than that, as I've come to see that people seem to prefer long-form videos, this was a good opportunity to take the time needed to talk about what group theory is, better setting the stage for how viewing numbers as actions can give a little insight into this formula.  

It also helps set the stage for how this formula generalizes in the context of Lie groups, which if I'm ambitious I might want to cover down the road.