An interesting styling detail for that Cutlass vintage was side sculpting that clearly seems to have been inspired by the shape of the blade of a cutlass sword. Actually, I don't know for certain if this was a conscious borrowing, so informed readers are invited to set the record straight in Comments.
Compare the blade shown in the upper photo to the sheet metal sculpting aft of the front wheel opening. The raised area (relative to the side curve seen at the center-rear of the door) has a horizontal fold that roughly corresponds to the blade's dull edge. And the curved lower folds aft of the front wheel and forward of the rear wheel are quite similar in character to the cutting edge of the blade near its tip.
General view of an Olds Cutlass.
The same sculpting was on sedans as well as coupes.