How to make a Smith chart

These are wormhole graphs, right?

I made an interactive implementation here: https://observablehq.com/@mbostock/smith-chart

I loved smith charts during my microwave classes in college. I've always felt like there should be a fun game based on the mechanics of using a smith chart.

> The Smith chart from electrical engineering is the image of a Cartesian grid under the function f(z) = (z − 1)/(z + 1). More specifically, it’s the image of a grid in the right half-plane.

Well, I'm already confused. The domain is complex numbers where the real part is >= 0? I think it would be helpful to make that clear from the get-go. When I see "Cartesian grid", I think R^2, not C.

I have PTSD from learning Smith charts in school.

My prof even said to me "If you'd pay attention, you'd understand this!". I was the only one who was brave enough to ask questions about it!