Complex numbers have never been so intuitive to me

Wow, I got this too. Here's my followup question and answer. We know i is the square root of -1, but what is the square root of -i ? I've always thought that you'd need another dimension to describe that, and another dimension for the square root of that unit, and so on. But no. (Let's tackle sqrt(i) as a simpler case first.) We can answer sqrt(i) in terms of rotation as described in the article. i is a rotation…

Once I renamed imaginary numbers to 2D numbers internally it made more sense. Do you know any other examples in math where fixing terrible naming makes the concept easier to digest?

I loved this article. PG: feature request - how about a way on news.yc for me to give points out of my karma to a submission/comment that I particularly like? Right now, upvotes are free so I can just throw them around. If they came out of my karma, maybe they'd be more valuable and presumably lead to better voting?