You have to think about it again. What I posted is correct and you can realize it too if you spend the time to understand what happens in the process (you don't need to understand it on molecular level, just simple newtonian mechanics, but you need to have basic principles of differentials and distributions).
Two pointers to guide you:
(1) what is special with three hones that is different from two? (a: absolutely nothing)
(2) what is special about a flat surface that is different from curved? (a: zero curvature and in any algebra course you learn zero is unique)