JOHNNY! That's awesome! I was coming up with the same math, but simplifying it to lines as you did sure makes it much easier to comprehend.
The project I'm working on is due in presentation format tomorrow, so I won't try re-doing this until after it's submitted. However, if my project is selected, I may float this concept by an engineer to see if it would fly. With some cross members, I wouldn't see why not.
Thanks! (Fun little geometrical challenge, huh?)
Have you worked on many reciprocal roofs?