To come back to the initial idea that opposite faces should always sum up to the maximum value plus one, I completely agree with this. Furthermore, for aesthetical reasons, and when possible (for a D6 for instance), I think that the numbers that have an 'orientation' (like arabic or roman numbers and unlike pips) should be always directed so that none has the same orientation (difficult to explain, see
one of my D6 for a picture): since you cannot orient them all in the same direction, it is more "balanced" to orient none of them in the same direction. Does that make sense?
Another remark about the well balanced dice: I have always thought that a D12 (dodechadron) - this time with opposite faces having the same value - is more reliable than a D6 (cube), for the following reasons:
- it rolls better since its shape is closer from a sphere
- when you are on one number you can go to any other number with a slight rotation: any number has all the other numbers as neighbours
- if there is a risk that the die is loaded then, since opposite faces have the same value, the effect is not as efficient (you make a face with a certain number more likely and the opposite face with the same number less likely).
Perhaps an idea for a new member in the dice family?