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Old 2014-07-16, 06:17   #1
Xyzzy
 
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Default July 2014

http://domino.research.ibm.com/Comm/.../July2014.html

Whew, where to start?

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Old 2014-07-16, 06:29   #2
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Quote:
Originally Posted by Xyzzy View Post
Start by noticing that all the numbers are consecutive Fibonacci numbers
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Old 2014-07-16, 07:39   #3
retina
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Perhaps I missed something in the description but it seems that the first player can easily win by simply taking all of the pebbles on the first move leaving none the the second player.

Edit: Oops, I certainly did miss something. The shape is supposed to be three dimensional.

Last fiddled with by retina on 2014-07-16 at 07:42
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Old 2014-07-16, 07:54   #4
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Quote:
Originally Posted by retina View Post
Edit: Oops, I certainly did miss something.
Hardly surprising, the problem is not very well described. The notation for the example moves seems a little odd too: clearly the six numbers in a move are numbers of pebbles to be taken from each edge of the tetrahedron, but nowhere does the writer define in which order the edges are considered.

I suppose the problem is a variation of the game of Nim.
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Old 2014-07-16, 08:17   #5
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but nowhere does the writer define in which order the edges are considered.
The edges are ordered based on the initial values (1,2,3,5,8,13). The examples clarify that.
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Old 2014-07-16, 23:33   #6
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so they want all the possible lines to winning ?
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Old 2014-11-02, 19:05   #7
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http://domino.research.ibm.com/Comm/.../July2014.html
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