For each of the five Platonic solids, give the rumber of vertices, edges and faces. (b) If V is the number of vertices, E is the number of exdges, and F is the number of faces, show that for every platonic solid, VE+F=2. (c) Compare the numbers for the cube against those for the octahedron. Compare the numbers for the dodecahedron and the icosahedron. After completing the previous two, compare the tetrahedron to itself. What is the pateern here?