I'd be interested to see the results by loading the 1-2 edge of the die, or even the 1-2-3 corner. The former should result in more 5s and 6s, and the latter m

I'd be interested to see the results by loading the 1-2 edge of the die, or even the 1-2-3 corner. The former should result in more 5s and 6s, and the latter more 4s, 5s, and 6s. And since the weight would be not centered on a face, would make the die more likely to tumble over to a preferred face if the die had to shed its sideways momentum. The unbalanced die would prefer to tumble or skip when a non-preferred face shows, and slide or rock when a preferred face shows. The problem, of course, is that there is no way to prevent your opponent from accidentally benefiting from your cheating. If you have biased the dice to favor 8s over 6s, they might just plop down on an 8 before you can place your settlements. You would have to use two sets of loaded dice, one biased high, and the other biased low, and swap them out after first settlements are placed. Also, in my experience, the other players will still accuse you of cheating whether they can prove it scientifically or not, because they prefer to believe that you are better than they are at being sneaky and underhanded than better at honest strategy. For instance, Clue (aka Cluedo) is a game where one skilled player can repeatedly curbstomp lesser skilled players. If you do, they then grab your player sheet to look at all the strange and indecipherable symbols you have on it that are not simple Xs, and they accuse you of cheating. You can either explain the mathematical advantage of the additional information you record, lose all future advantage against those players, and get accused of "breaking the game", or you can remain silent and still not be able to play it again because you're a "cheater". Besides that, what self-respecting board gamer doesn't just leave the crappy wooden dice in the box, and use the good dice from their dice bag? I like this analysis, though. It reminds me of the guy who designed a one-sided die.