This is one of the things that, at first, sounds quite unbelievable. Then, when you think about the math involved, it becomes quite clear and almost trivial (we

This is one of the things that, at first, sounds quite unbelievable. Then, when you think about the math involved, it becomes quite clear and almost trivial (well, in this case it's not exactly trivial, but in some other cases it is). Similar (but slightly easier to prove) mathematical "tricks": - if you take two pieces of paper, crumple one up and put it on the other, there is at least one point on the uncrumpled paper that is directly underneath the corresponding point in the other paper - If you have a chair (or table) with 4 legs, and it wiggles because the floor is uneven, then you can always find a way to rotate it around the center so that it doesn't wiggle anymore - there is no way to comb a hairy sphere ;-)