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Given a polyhedron (doesn't have to be regular), let $F_n$ be the number of $n$-gon faces, and let $V_n$ be the number of vertexes at which exactly $n$ edges meet. Verify the following (there are several similar relations, but I'll just give one):

$(2V_3 + 2V_4 + 2V_5 + ...) - (F_3 + 2F_4 + 3F_5 + ...) = 4$.

I don't understand what we mean when we

*are given a polyhedron*and then we sum an infinite number of vertices and faces? Would someone mind providing insight into what these sums are representing?