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How Many Intersections?


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#1 coxster

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Posted 31 August 2012 - 05:03 AM

I have a math puzzle I just came up with. A mesh is formed by 3 sets of parallel lines on a plane (2D surface). Each set contains an infinite number of lines with a constant, perpendicular distance between them, and each line is infinitely long. My puzzle asks that you find an expression for the average number of intersections per area.

Here is a link to my puzzle: http://ericboy.wordp...g-puzzle-83012/. Please let me know what you think or if you have any questions.

Thanks, and Good luck! :)
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#2 kbrdsk

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Posted 31 August 2012 - 01:27 PM

Spoiler for how about

Edited by kbrdsk, 31 August 2012 - 01:27 PM.

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#3 coxster

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Posted 31 August 2012 - 02:02 PM

Spoiler for how about


Yes, you are correct! Well done! Thanks for using the 'spoiler' option to allow others to solve this as well.
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