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Back in 1948 Robert Heppe of Fairfax, Va., was a freshman electrical engineer at the Queens, N.Y., plant of the Sylvania Electric Products Company. Heppe, assigned to assist in the design of vacuum tubes, found the process onerous. The problem was that one had to specify the size, shape and placement of the grids and beam-forming plates on paper. The design was then manufactured in the form of a single tube and tested. This could take several days. His supervisor, Gerald Rich, improved efficiency by suggesting a certain analog gadget.
The gadget consisted of a rubber sheet, a dowel, some plywood and several boxes of toothpicks. The rubber sheet clamped into a large ring represented the tube cross section magnified many times. The cathode was a wood dowel poking up in the center of the sheet. Arrays of toothpicks represented various grid designs. Negative grids tented the sheet up from below; positive grids depressed the sheet from above. Other aspects of tube geometry were captured by plywood shapes also imposed from below or above. Electrons pouring from the cathode were simulated by slowly emptying a can of BB's over the dowel. "It can be shown," writes Heppe, "that the slope of the rubber in such a gadget represents the electric field, and the height represents the voltage in the space between the electrodes.... The BB's rolled down the sheet [as in] a pin-ball game, some collecting at the plate, some at the positive grids. If we didn't like how many arrived at the various electrodes, or which way they went, we could move things around, change sizes, etc., and try it again." Promising configurations were embodied and tested in real tubes.