I have explained this with example of cube.
What about the view from inside the Cube and all it's possible angles?
What if all 6 people are facing the cube from the same angle.
Every cubed dice (since you mentioned it) has 6 sides. A correct cubed dice will always equal to 7 when added to it's opposite number. Just thought I'd mention that part of it too, since I'm looking at the dice from all over, not just one angle :)
One a light note, I used to have a dice with 9 sides I think, it wasn't cubed of course. And there is a 120 side dice too. Imagine playing Snakes and Ladders with that one :)
So the ratings do have a psychological effect :)
Anyways, I get what you are saying about having differing views and intellects or strategies, I guess the example of the shuyukh was not one of the best.



