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@irene in the end i, dufus that i am, realized i also have the centroid, which made things a *lot* easier.
i'm afraid that having discovered the power of multithreading has made my code worse.
case in point: me has to calculate an unknown 3rd point of an equilateral triangle many, many times. however, me doesn't get the formula, so me goes ahead and loops over all possible coordinates until it finds the correct one.
yep, it's definitely gotten worse.
rant