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Forchheimer immediately came to the point. "Well now, let us discuss the curve you talked about yesterday in far greater detail. But before doing so, please explain how you arrived at the comparison with the boar. It is really very apt, but why this example?" "Actually it doesn't come from me", I replied, "but from my father, who with these same words explained to his foresters how to arrange a log- rafting stream naturalesquely so that very heavy logs are able to float". Professor Forchheimer looked at me in surprise and then I began to explain the con- cept of 'arranging' and its purpose. "The floatation of logs in the Klafferbach was an art requiring very special knowl- edge. Firstly there was only just enough water for the heavy logs, and secondly the bends were tight, which only a good 'arrangement' was able to overcome. The pur- pose of this arrangement was to accelerate the passage of the logs with brake- curves. "Just a moment!" the professor interrupted, "You mean that the water has to be braked in order to be accelerated? Not a bad idea, because in the process the water becomes compressed and its momentum increased." "Not so, professor, that is not what I meant. The aim of these brake-curves is primarily to make the water rotate spirally about its own axis, like it does above every plug-hole." The professor scribbled something on his notepad, fiddled with his pencil and impatiently pressed me to continue. "Professor, have you ever watched a boar when it is urinating?" He shook his head. "Well then, try to imagine the shape of the curve produced by the flow of urine when the boar is running." "That would be the most ideal cycloid space- curve, and it could not be constructed more beautifully", exclaimed the professor. After this observation, he tried to draw this peculiar curve, but quickly gave up. It is very difficult to draw, because the elevation is the same as the plan. He then tried to calculate it while I sat quietly and watched. He scratched first one ear and then the other, throwing away one sheet of paper after the next. He then declared that the curve would take years to calculate, even if the present state of mathematics was up to it. "Professor", I replied, "we are here concerned with a curve in which and through which life evolves". This led to a lengthy, wide-ranging, philosophical discussion which mainly revolved around the indefinable concept of 'life'. Finally the professor said, "I am a Jew and cannot agree. If you turn me upside down, all that will fall out are formulae. You think in a space that only you and no- one else knows - and therefore we cannot make any headway." On my way home I met the well-known author and former naval officer Captain Deskovic, to whom I related all that had happened. A few days later he called on me and invited me to visit His Excellency Professor Wilhelm Exner, who had a burning interest in my theories. Exner's welcome was very cordial, and he immediately enquired, "Do you know anything about the brake-curves that maintain water's steady flow down steep gradients?". When I answered in the affirmative, he continued, "Please understand me correctly. IPDF Image | The Water Wizard
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