I've been reading about how much of a sphere actually touches a flat plane (spheres are very interesting things, it turns out!). Mathematically, a perfect sphere has only one point of contact, meaning that the area of this contact is infinitely small(?), but as physicists, we know that there must be three points of contact for the sphere to be at rest. Therefore, we can say that three atoms need to touch the flat plane for the sphere to be at rest. My question is whether this three-atom rule is the same for any size of sphere, or does it change as sphere circumference increases/decreases?