Nim is any type of "take‑away game" in which players alternately remove counters, and the player who takes the last counter wins. However, there are infinitely many versions of Nim. This applet allows players to challenge the computer in the games of Static Nim, Identity Nim, and Doubling and Tripling Nim.
To select a different game or to use different parameters, indicate the Game, Strategy, and Initial Pile Size (and, for Static Nim, the Maximum Move). The options are as follows:
This record can be used to analyze the game. For what numbers do you have the advantage? For what numbers does the computer have the advantage?
Select Static Nim as the game type, choose Random strategy, set the Initial Pile Size to 21, and set the Maximum Move to 4. Play the game once or twice. Then, change to Optimal strategy, and play the game several times.
Conduct a similar investigation for Identity, Doubling, and Tripling Nim.
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