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The aspheric curve was calculated and machined at a 40:1 ratio in a brass template.
A Gorton engraver operating at 40:1 was used to generate the curve. At the far right is a variable dc gear reducer. The stylus riding on the cam is 40× the diameter of the midget diamond cutter. The obvious eccentric causes the follower to slowly migrate the cam.
The lead pencil points to the curve. Above it is the 0.012-in. diam diamond tool that can be rotated up to 0.080 rpm on an exceedingly fine spindle. Using a final plastic tool an acceptable polish was generated on the curve.
This photograph was taken looking down on the aspheric surface. The object pointing to it is the end of a very sharp lead pencil.
This 0.012-in. diam diamond plated tool did the grinding. A similar tool made of plastic charged with ultrafine abrasive was the polisher.