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Subject: "Ant on Dicube (error?)"     Previous Topic | Next Topic
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Conferences The CTK Exchange College math Topic #703
Reading Topic #703
Pierre Charland
Member since Dec-22-05
Dec-01-08, 07:44 PM (EST)
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"Ant on Dicube (error?)"
 
   Problem M19a on p58 and p71 (in "The mathemagician and pied puzzler" by Elwyn Berlekamp and Tom Rogers) ask for the point further away (on the surface) from a corner of a 1x1x2 dicube. The given answer is not the opposite corner. Is this an error?

You can see it here:
https://g4gardner.pbwiki.com/The-mathemagician-and-the-pied-puzzler
Puzzles from Around the World, by Richard I. Hess (32 pages)

AlphaChapMtl


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alexbadmin
Charter Member
2310 posts
Dec-01-08, 08:58 PM (EST)
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1. "RE: Ant on Dicube (error?)"
In response to message #0
 
   > Is this an error?

Indeed. Looks like an error.

The left one corresponds to the ant first crawling over the bottom 1×1. Here indeed P is father away than B. In the second, the ant starts over the side surface. In this case B is certainly father than P. Comparing the distances in the two cases P is nearer to A than B.

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