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What is the name of the game where you have ... say 3 chips on 1 row, 5 chips on a nother row, and 7 chips on another row... 2 people play. The object is to not be the one who takes the last chip. You can take as many as you want from 1 row a turn. EX...

o o o o o o o
o o o o o
o o o

I take 3 from 7 row....

o o o o
o o o o o
o o o

then you take 2 from 3 row.

o o o o
o o o o o
o
... I take all from the 5 row...

o o o o

o

You take all from 7 row...


o
I have to take the last one...



I lose...

Anyone know what this game is called?

2006-11-08 14:56:18 · 1 answers · asked by morfusaf 2 in Games & Recreation Other - Games & Recreation

1 answers

we played a game like that in algebra it was called Nim. we played with lines on a paper but you can also play using matches

What is the Nim Game? ....... The Nim Game is a game for two players.
It consists of a row of 13 matches. Two players take alternately 1, 2 or 3 matches. The one, who takes the last match, wins.

You also can use coins, cards, beer mats or other things instead of matches.

There are several other nim games with different rows beside this game. I describe them below.

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Simulation of the Nim Game with 13 Matches top
The analysis of this game leads to the additive reduction of the number 13 in the summands 1,2 or 3.
It is an easy task for the computer finding them.
Supposed the two players have the colours red and black.
Red starts. Neither Red nor Black have a strategy.
The following ways of playing are possible. 0001) 13 = 1+1+1+1+1+1+1+1+1+1+1+1+1 1 game with 13 steps,
Red wins, Black loses......



--------------------------------------------------------------------------------
0002) 13 = 1+1+1+1+1+1+1+1+1+1+1+2
...
0013) 13 = 2+1+1+1+1+1+1+1+1+1+1+1.. 12 game with 12 steps,
Red loses, Black wins......

--------------------------------------------------------------------------------
0014) 13 = 2+1+1+1+1+1+1+1+1+1+3
...
0079) 13 = 2+1+1+1+1+1+1+1+1+1+3.... 66 game with 11 steps,
Red wins, Black loses....

--------------------------------------------------------------------------------
0080) 13 = 2+1+1+1+1+1+1+1+1+1
...
0289) 13 = 2+1+1+1+1+1+1+1+1+1....... 210 game with 10 steps,
Red loses, Black wins...

--------------------------------------------------------------------------------
0290) 13 = 2+1+1+1+1+1+1+1+1
...
0703) 13 = 2+1+1+1+1+1+1+1+1........... 414 game with 9 steps,
Red wins, Black loses...

--------------------------------------------------------------------------------
0704) 13 = 2+1+1+1+1+1+1+1
...
1207) 13 = 2+1+1+1+1+1+1+1.............. 504 game with 8 steps,
Red loses, Black wins..

--------------------------------------------------------------------------------
1208) 13 = 2+1+1+1+1+1+1
...
1564) 13 = 2+1+1+1+1+1+1................ 357 game with 7 steps,
Red wins, Black loses.

--------------------------------------------------------------------------------
1565) 13 = 2+1+1+1+1+1
...
1690) 13 = 2+1+1+1+1+1................... 126 game with 6 steps,
Red loses, Black wins.

--------------------------------------------------------------------------------
1691) 13 = 1+3+3+3+3
...
1705) 13 = 3+3+3+3+1....................... 15 game with 5 steps,
Red wins, Black loses..

--------------------------------------------------------------------------------

2006-11-09 04:56:21 · answer #1 · answered by His 5 · 0 0

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