Nim – Strategy Math Game
About Nim – Strategy Math Game
Nim is an ancient mathematical strategy game played since at least the 16th century. Players take turns removing objects from piles, and the player who takes the last object loses. Despite simple rules, Nim involves deep combinatorial game theory and binary logic.
How to Play
Four piles of tokens are displayed. Select a pile by clicking it (highlighted yellow), then click ‘Remove’ to take one token. You can only remove from one pile per turn. You play against the computer — the one who takes the last token loses.
Tips and Strategy
- Nim-sum. Calculate the XOR of all pile sizes — if it’s zero, you’re in a losing position.
- Leave a zero sum. Always try to leave your opponent with a Nim-sum of zero.
- Watch the endgame. With small piles, be careful not to be forced into taking the last token.
- The AI plays optimally. If you make a mistake, the computer will capitalize on it.
Game Features
- 4 piles with varying sizes
- Turn-based play vs AI
- Select pile then remove
- Last-token-loses rule
- Optimal AI opponent
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