Round Face...
This is a very common shape, generally associated with a heavy person.  The round face automatically has a compact appearance.  With Jackie Gleason, I had to thin down the appearance of the face.  The more hair on the sides as well as on the top, the thinner the face will appear.  The sideburns should be lowered, not to the point where they will look ridiculous, like cowboy sideburns, but a little lower than normal, below the cheekbone-not long enough to be conspicuous, however. A part can easily be worn with this shape of face.

Square Face...
This is very similar to a round face as far as the design is concerned.  To thin down the appearance of the face, it is absolutely necessary that the hair be full on the sides.  This also helps balance off the jowly look.  The hair can also be full over the top, but the fullness is not as critical as on the sides.  The sideburns should also be a little lower than normal.  With a square face you can carry as much hair as you like.  A part also can be worn.  Vic Damone has a square face, but his hair is extremely curly, so I have to get the fullness and keep it short.  This a accomplished by daily washing, and cutting the hair at the break of the first wave.  The daily washing pulls out some of the wave and gives the hair fullness.  It springs out and looks long and full even though it's short.

Triangular and Oval...
You can do just about anything with these shapes that the hair will permit.  You can comb it into a part or wear the hair without one. The sideburns should be normal in length, and should balance off with the cheekbone.  Barry Goldwater has an oval face, but I would definitely suggest a high part in his case, because of recession in front.  I would cut him "conservative"-close on the sides and top.

With all these face shapes...
I don't try to reshape the appearance of the face-just to bring the hair and the face into symmetrical harmoney. The hair is basically a frame for the face, and the outline is the most important factor.