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comment What are imaginary numbers?
I'm sorry to spoil the consensus, but while the first 4 sections were great (apart from the unexplained "$\mathbb{Z}$ is the closure of $\mathbb{N}$ under the operation $-$" etc), the actual imaginary numbers part of this left me with more questions than answers. Why a quarter turn? Why $i^4=1$ and not $4i=1$? What does it mean for -1 to be a half-turn, if that's why we're rejecting 1? What does this have to do with any other use of imaginary numbers? Where are the complex numbers?