20140716, 06:17  #1 
"Mike"
Aug 2002
7980_{10} Posts 
July 2014

20140716, 06:29  #2  
Jun 2003
2^{3}×607 Posts 
Quote:


20140716, 07:39  #3 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2·3·1,013 Posts 
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 20140716 at 07:42 
20140716, 07:54  #4 
"Brian"
Jul 2007
The Netherlands
110011000101_{2} Posts 
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. 
20140716, 08:17  #5 
Jun 2003
2^{3}·607 Posts 

20140716, 23:33  #6 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
so they want all the possible lines to winning ?

20141102, 19:05  #7 
"Mike"
Aug 2002
2^{2}·3·5·7·19 Posts 

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