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Topic: variation on a familiar calculus problem
Replies: 33   Last Post: May 9, 2012 1:42 PM

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 Robert Hansen Posts: 6,408 From: Florida Registered: 6/22/09
Re: variation on a familiar calculus problem
Posted: May 3, 2012 3:16 PM
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For odd N we can simply state that one side is perpendicular to the wall.

Bob Hansen

On May 3, 2012, at 12:53 PM, Wayne Bishop wrote:

> Your question has an easy and obvious answer, it lacks symmetry; n-gons, for even n only, can safely be assumed. Taking n=4 only, as a heuristic argument, maybe shaky but with n=6, and maybe, n=8, I find it very persuasive. The three-dimensional bubble analogue is also very nice.
>
> Wayne
>
> At 07:23 AM 5/3/2012, Joe Niederberger wrote:

>> >The problem could have said 2 sides in which case you would arrive at a right isosceles triangle which when added to its mirror image would be a square (with the wall running across its diagonal)
>>
>> Why would one not start then with a equilateral triangle and half that?
>>
>> Anyway, I'm not questioning your instincts. However, I think the type of reasoning I'm outlining works without one even knowing about the special properties of circles and squares in advance.
>>
>> Joe N.