Hi, I was wondering how to calculate, mathematically, the number of vertices on a cube, rather than just count them? Also, in a cube, how many edges are shared by a face? By counting the number of edges, there comes out to be 24, but since it face shares four edges, shouldn't there be 6 edges then? I am trying to calculate both of these without counting. I am reading geometry for beginners by G. A. Hill, written in 1884; it is profoundly interesting, but since I never took geometry, I just don't have an intuition for it. Is there perhaps a simpler book that someone could suggest, for now to read?