FYI -- Humans have been playing with these things for 3400+ years; now we finally get around to measuring them? https://en.wikipedia.org/wiki/Dice http://www.markfickett.com/stuff/artPage.php?id=389 An *automatic system* for rolling a polyhedral die and taking photos of the rolls; extracting the image of just the die from those images; clustering the images of the die by which face is shown; and analyzing the results.