Since I'm not a very analytical person, I've been eyeballing what you're putting up - of course only after the fact of your having drawn in the polygon shape am I able to see that, "yep, those points do construct a shape" ... except for the seven-sided figure. That had me scratching my head... I was thinking, "how did sdi figure out where the points go?? I'm not seeing how that was constructed" and then I read to the bottom and whew! I wasn't wrong to be puzzled.

Here, I'm like an appreciator of any art form who doesn't really know the finer details - looks neat, but the whys and wherefores are way over my head. :)

It could make me feel a bit better about my very unsophisticated way of looking at any of this, knowing you used a program to figure some of it out, but, then, you had to write the program! :D

Well done, I must say.