[ravenfish]

From the point of view of tabletop gaming, the sphere is indisputably one-sided rather than infinite-sided, unless you have found one that can produce an infinite number of possible displayed results depending on the point at which it stops rolling.

(Anyway, if you argue that the sphere has a number of sides equal to the number of possible tangent planes, then any actual die becomes a d[huge number] due to the fact that its "faces" are not perfectly flat, and any actual roll will be undetectable cocked at one of a vast number of possible angles.)