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   Re: Cutting Up a Square
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   Author  Topic: Re: Cutting Up a Square  (Read 916 times)
towr
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Re: Cutting Up a Square  
« on: May 15th, 2003, 1:38am »

For the first cut I get 11.8545 and for the second 8.33619
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towr
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Re: Cutting Up a Square  
« Reply #1 on: May 15th, 2003, 4:11am »

I called the point where the cuts cross (x,y) (and the second cut starts in (0,0) and goes through (x,y) ) , and worked out where the first cut crossed the square, based on it being perpendicular to the second cut, and going trough (x,y).  
Then using the areas I did a numerical solve to get the x and y and then the length of the cuts.
 
How slight is the difference?
« Last Edit: May 15th, 2003, 4:13am by towr » IP Logged

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Re: Cutting Up a Square  
« Reply #2 on: May 15th, 2003, 4:23am »

I got 11.8539 and 8.3361, but didn't go to more decimal places.
 
I saw this puzzle on Usenet and, as there were no takers, I had a go (but wish I hadn't).  
Turned out to be a very tedious calculation.  
I even worked out a general solution, which I will post later.  
 
« Last Edit: Jun 2nd, 2003, 3:16pm by ThudnBlunder » IP Logged

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