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Subject: "Bugs on a Table"     Previous Topic | Next Topic
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Conferences The CTK Exchange College math Topic #76
Reading Topic #76
Jean-Philippe DuBois (Guest)
guest
Mar-13-01, 10:35 PM (EST)
 
"Bugs on a Table"
 
   I look for analytic solution to following problem:

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Four bugs are at the corners of a square table. The bugs begin to move at the same instant, each one crawling at the same constant speed such that its velocity vector points, at all times, directly towards the bug initially on its right. Do the bugs ever meet, and if so, when?

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Any help or ideas much appreciated.


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alexb
Charter Member
672 posts
Mar-13-01, 10:39 PM (EST)
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1. "RE: Bugs on a Table"
In response to message #0
 
   This problem is discussed on page 64 of "Chicken from Minsk" by Yu. B. Chernyak and R. M. Rose, Basic Books, 1995

A hint is given: use symmetry.


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