Talk:Fair die

Prism reasoning is incorrect
The current text reads:
 * There are also fair dice where the facets are not congruent: a very flat regular-n-gonal prism has a low chance of landing on its rectangular faces and a very tall regular-n-gonal prism has a high chance, so there must be a prism between these extremes where the landing probability of a rectangular face is equal to that of the n-gon.

however this reasoning is flawed. The issue is that a die can roll differently on different surfaces, you may have a die that is fair on a slick surface like polished wood, but is no longer fair on a rough surface like carpet. This reasoning shows that for each circumstance, carpet, polished wood etc. there is a prism that is fair, but there is no guarantee that for different surfaces the fair die are going to be the same. Manufacturer, "Game Science" used this method to produce a pentagonal prism die and it is not a fair die.