For each of the 5 regular polyhedra, enumerate the number of vertices (v), edges (e), and faces (f), and then evaluate the quantity v - e + f. (One of the most interesting theorems relating to any convex polyhedron is that v - e + f = 2. -> This was given as part of the problem. I am not sure if it is of any value when solving this problem or not.)
Please use pictures to illustrate the concept above along with a detailed explanation of your response. Thank you.
This shows how to find the number of vertices (v), edges (e), and faces (f) of polyhedra.