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    I don’t understand why all this complexity is necessary… If you want to calculate the 5/19th you use two gears, one with (a multiple of) 5 teeth and another with (the same multiple of) 19 teeth. It already says “Apple Engineer” though.

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      Lego gears aren’t available in arbitrary ratios; the largest gear I can find has 40 teeth, and there’s no 38 tooth gear.

      The complexity is inherent to the constraints of the construction method.