Part A: A cube is a polyhedron that has 3 square faces meeting at each vertex. Explain what would happen if you tried to make a polyhedron that has 4 square faces meeting at each vertex?

Part B: The Platonic solids are convex polyhedra with faces that are equilateral triangles, squares, or regular pentagons. Explain what will happen if you try to make a convex polyhedron whose faces are all regular hexagons.