hiking in the imaginary numbers

support the channel: https://ko-fi.com/thegraycuber my other projects: https://thegraycuber.com/ previous video:    • negative ellipses are infinite   I've recently been exploring generalized ellipses, and naturally wondered what would happen if we use complex numbers. This video is an exploration of a few methods, discussing the benefits and drawbacks of each. Along the way, we have some assistance in pedant-avoidance. This video took a little longer than usual to release, but much of that time was spent on a few other projects. They'll be released within a month or so!