Σ(i³) = (Σi)² on Nostr: I'm probably completely misunderstanding something in your 1st sentence, but for ...

I'm probably completely misunderstanding something in your 1st sentence, but for \(n=1\) I can look at \(\mathbb C\) and draw 2 unit vectors (1,0), (-1,0) that lie at the same angle (\(\pi\) to each other. What am I missing here?