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#1 2009-10-05 14:53:02

Demo
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Does anybody know?

Hi there. Does anybody know the title of this game, or the strategy to win it?

The game consists of 15 lines, drawn in 3 rows - numbering 3, 5, 7. The aim of the game is to be the last person to cross off a single line. You can cross multiple lines out in one go, however they must be adjacent and on the same row.
The layout looks something like this:


        |   |   |

    |   |   |   |   |

|   |   |   |   |   |   |


So yeah, does anybody know the title of this game or the strategy to win it?

Thanks heaps.

Demo.

 

#2 2009-10-05 16:50:23

bobbym
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Re: Does anybody know?

Hi Demo;

Your game is close to "normal play 3 heap nim" but has some differences. Try here first.

http://en.wikipedia.org/wiki/Nim#The_21_game

Last edited by bobbym (2009-10-05 16:52:51)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2009-10-05 22:29:34

mathsyperson
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Re: Does anybody know?

Jane did some in-depth analysis of this a while ago. It was a slightly different game, but it should show you the way to think about it.


Why did the vector cross the road?
It wanted to be normal.
 

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