Prof. Templeton
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Everything posted by Prof. Templeton
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I'll work on a hypothesis. I was leaning toward "the bang" not being from a gunshot at all but a diversion. I just haven't done the research necessary to give a plausible explanation. Especially since your puzzles are clever. BTW is IENTNAT a reference to detective Conan? I'll try to work on this one.
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The solution is only optimal for Prof. Templeton not Doug the Digger.
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Sometimes nature provides the optimal solutions. Think about bees and their homes. Let's leave the opposite half diagonal and the point on the square it comes from alone and focus on the remaining three points of the square. If you wanted the shortest lines from those three outside points to a central point, what would the three angles around that central point look like?
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What about all that lost blood?
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Can you think of a way to accurately weigh your own head?
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Are we agreeing as a community that since the trench is not going to be a single point wide, and once uncovered the line will dictate direction, or do we need to find 2 points along the cable, to mathematically define the line? We are looking for the optimal digging strategy that will discover the lines running through the property. Once the lines are discovered, we can tap into them without regard for direction. Our digging strategy has to be 100% certain of discovering the lines. Or, alternately, there may be more than one line and we have to discover them all. One solution has been posted that will discover all lines that pass through the square which will result but, an optimal digging path still exists that will require even less digging and still discover all lines that pass through.
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A similar riddle has been posted in this forum already, although I think it was a different soup. Try searching for soup. There it is. Seagull soup.http://brainden.com/forum/index.php?showto...892&hl=soup
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The best so far! Can anyone do any better than this?
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That would be less, but a shorter dig is still possible.
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All the Utility Company tells us is that the lines pass through the property, not how much. The lines could only cut across one corner.
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We can do better still.
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Right track? Not really.
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Prof. Templeton had purchased a 1 Km square plot of land. He was told by the Utility Company that their lines pass through his property somewhere, but they didn’t know exactly where they were and if the Prof. wanted to tap into the lines, he was responsible for paying to have them dug down to and determining where they ran through the property. All the Utility Company would tell him for certain was that the lines ran parallel to the ground and traveled in a straight line. So Prof. Templeton asked Doug the digger to come over and give him an estimate on finding the utility lines. “The cost to dig is $1.00 per meter and I’ll have to dig around the perimeter to find those lines, so that’s four grand”, said Doug. “I don’t think you need to do that”, said the Prof. “You’re right. I can just dig around three sides and find those lines”, replied Doug “You can still do better than that”, said the Prof. What optimal digging path to find the utility lines did the Prof. have in mind and what is the least it will cost to have Doug dig?
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Yes.
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I had to break the tie
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Were the scraps of material found on the west side of the house?
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Exactly. Special order only. Place your pre-orders now as supplies are limited and going fast. Everyone wants their wooden widgets.
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@ Yoruichi-san Thank you for the honorable mention, despite the commotion I hope you all enjoyed the lecture (except for Ben Law, I don't think he enjoyed it too much).
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I think the OP means the first part of his last name.
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