I use a fine sharpening hone with oil and make one flat and one convex like the new ones. They have to be separated or taken apart though to do that.
Mine too. I remember going to the office with him and playing with the old 'programs'. Cant believe you still have them.Make sure you clean them afterwards, as any sanding grit left in the gap can create issues. I dip a piece of old IBM programmers punch card (Dad was an IBM'er for 35 years) in carb cleaner and run it through the points to get any grit, oil, etc. off them.