In chapter 5 of his mind-blowing “The Road to Reality”, Penrose devotes a section to complex powers, that is, to the solutions to $$w^z~~~\text{with}~~~w,z \in \mathbb{C}$$ In this post I develop a bit more what he exposes and explore what the solutions look like with the help of some simple Python scripts. The scripts can … Continue reading "Analysis and Plots of Solutions to Complex Powers"