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 2014-07-16, 06:17 #1 Xyzzy     "Mike" Aug 2002 11111110101102 Posts July 2014 http://domino.research.ibm.com/Comm/.../July2014.html Whew, where to start?
2014-07-16, 06:29   #2
axn

Jun 2003

32·19·29 Posts

Quote:
 Originally Posted by Xyzzy http://domino.research.ibm.com/Comm/.../July2014.html Whew, where to start?
Start by noticing that all the numbers are consecutive Fibonacci numbers

 2014-07-16, 07:39 #3 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 10111111111002 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 2014-07-16 at 07:42
2014-07-16, 07:54   #4
Brian-E

"Brian"
Jul 2007
The Netherlands

7×467 Posts

Quote:
 Originally Posted by retina 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.

2014-07-16, 08:17   #5
axn

Jun 2003

32·19·29 Posts

Quote:
 Originally Posted by Brian-E 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.

 2014-07-16, 23:33 #6 science_man_88     "Forget I exist" Jul 2009 Dumbassville 203008 Posts so they want all the possible lines to winning ?
 2014-11-02, 19:05 #7 Xyzzy     "Mike" Aug 2002 815010 Posts

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