Nim,
A version of Nim is played in Alain Resnais's movie L'année dernière à Marienbad.
It is usually encountered as a pub game with 3 piles of matchsticks, Two players take turns to move. A move consists in removing 1 or more matches from 1 pile, The player to pick up the last match loses the game,
Winning is easy if you can do binary addition in your head,
Stated more generally: Nim is a two-player mathematical game of strategy in which players take turns removing objects from distinct heaps. On each turn, a player must remove at least one object, and may remove any number of objects provided they all come from the same heap.
Variants of Nim have been played since ancient times. The game is said to have originated in China (it closely resembles the Chinese game of Tsyanshidzi, or "picking stones"), but the origin is uncertain; the earliest European references to Nim are from the beginning of the 16th century. Its current name was coined by Charles L. Bouton of Harvard University, who also developed the complete theory of the game in 1901, but the origins of the name were never fully explained. The name is probably derived from German nimm! meaning "take!", or the obsolete English verb nim of the same meaning. Some people have noted that turning the word NIM upside-down and backwards results in WIN.
Nim is usually played as a misère game, in which the player to take the last object loses. Nim can also be played as a normal play game, which means that the person who makes the last move (i.e., who takes the last object) wins. This is called normal play because most games follow this convention, even though Nim usually does not.
WINNING STRATEGY
Express numbers in each pile in binary, When you make a move, your aim is to leave the total of 1s in each column (units, twos, two^2, two^3 etc) even.
say piles of 9 11 13
9 = 1001
11= 1011
13= 1101
You read this as 3113
Remove three from the pile of 9 and make it 6
6 = -110
11= 1011
13= 1101
You read this as 2222 and it is even in every column
Whatever your opponent does will disturb this and at least one column be odd. eg he reduces the 13 to 10
6 = -110
11= 1011
10= 1010
You read this as 2131
You then restore the evenness of all columns again by removing 5 from the pile of 6
1 = ----1
11= 1011
10= 1010
You read this as 2022
The same strategy is used for both the misere game and the normal game up to the last move when the move needed is obvious,
It is probably a good idea to vary the number of objects in each pile and the number of piles in the starting position, so the opponent doesnt copy your opening move, when he moves first,
2006-06-27 13:52:44
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answer #1
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answered by Anonymous
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In general math games are games involving modeling of strategy, probability, and all that jazz.
If you were interested in some games then enjoy a few sites below
2006-06-27 16:26:44
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answer #2
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answered by Edward 7
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For younger kids (grades 1-8 or so), try the Math Arcade at
http://www.funbrain.com/brain/MathBrain/MathBrain.html
2006-06-27 17:47:38
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answer #4
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answered by Louise 5
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http://www.google.com/search?hl=en&q=math+games+online&btnG=Google+Search
2006-06-27 15:49:08
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answer #6
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answered by bequalming 5
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