Problem 547

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LaughingSkull
Posts: 8
Joined: Fri Mar 09, 2007 9:21 pm

Problem 547

Post by LaughingSkull »

Not relying on random sampling, but instead on a calculus-based generalised solution for rectangles, the default case of n=3 yields for me a S(3) of a very slightly lower value than the one given in the problem's description. Precision errors on my part are out of the question, due to my calculation having been made on several distinct platforms. Mr. Euler, could you have erred?
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Animus
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Joined: Sat Aug 16, 2014 1:23 pm

Re: Problem 547

Post by Animus »

1.65135<S(3)<1.6514
Therefore S(3) is being rounded up to 1.6514.
LaughingSkull
Posts: 8
Joined: Fri Mar 09, 2007 9:21 pm

Re: Problem 547

Post by LaughingSkull »

Well, I got 1.6488, so apparently my method was incorrect altogether.
RagnarGrootKoerkamp
Posts: 3
Joined: Wed Jul 22, 2020 8:34 pm

Re: Problem 547

Post by RagnarGrootKoerkamp »

To clarify (since I only discovered this on my 3rd attempt): The problem asks for the average straight line distance between two random points in the hollow laminae, not the shortest distance within the hollow lamina itself.
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