OK, kids.
I wanted to understand how POV-Ray's in_polygon algorithm worked in the source
code.
This took a bit of puzzling over, reading about some similar methods, and
watching a few videos to get a better feel for the geometric implications of the
vector math operations.

This video (at ~34:00) is what put me on the path to seeing what was going on.
https://www.youtube.com/watch?v=vrk2kAuSyLg

I hope I got it right (it seems to be), and that I covered all of the essential
points.

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