Hey, out of curiosity, why did you choose a 20-sided die? I assume it was just to match the "ten bucks" bit. I'm not snarking, I just began thinking about 20-si

Hey, out of curiosity, why did you choose a 20-sided die? I assume it was just to match the "ten bucks" bit. I'm not snarking, I just began thinking about 20-sided dice. I do not believe there is a solid with 20 faces, and all faces congruent (I haven't checked). So we end up with a solid that is roughly ball-shaped, with faces of different sizes and shapes. [Edit] I checked; I suspected I'd made a fool of myself. An icosahedron has 20 congruent faces, of course. A ball-shaped die is much more likely to topple, and so more likely to be influenced by small differences in weight distribution, selective corner-shaving, whatever. I can't think of a way of judging the fairness of a 20-sided die other than casting it many times, and analysing the results. I'd be much more confident in my ability to judge by inspection the fairness of a 6-sided die.