About Free Printable Nim Rules
Free printable Nim rules — how to play the classic 2-player strategy game. Marienbad 1-3-5-7 setup, turn flow, misère vs normal play, and winning strategy.
How to use
- Choose your print style. Full color gives a teal-accented reference poster that looks great on a classroom wall or beside a game shelf. Ink-saver (black & white) switches to a clean monochrome layout for an economical handout — ideal when printing a class set or family-night batch.
- Choose whether to show pile diagrams. Diagrams on (the default) include the Marienbad 1-3-5-7 staircase, the classic 3-4-5 layout, a side-by-side legal-vs-illegal move example, and the misère vs. normal endgame target positions. Switch to text only for the most compact, fewest-pages version.
- Read the preview to confirm everything is correct — the rules flow from objective and materials, through setup, the six-step turn flow, the special rules (one pile per turn, nim-sum, misère endgame), winning conditions, common variants (21 Game, Wythoff's Game), and finish with a quick-reference card.
- Click Print Rules to send it to your printer or save it as a PDF. The full illustrated guide prints cleanly across a couple of standard letter or A4 pages; choose Text only for a compact one-page summary.
Frequently asked questions
How do you set up Nim?
Agree on the rule set first (normal play — last object wins; or misère — last object loses, the traditional default). Then arrange identical objects (coins, matchsticks, pebbles, counters) into piles. The two most popular layouts are the Marienbad / 1-3-5-7 staircase (16 objects in four rows of 1, 3, 5, and 7) and the classic three-pile 3-4-5 (12 objects). Decide who goes first, confirm the pile counts together, and you're ready to play.
What is the difference between normal play and misère Nim?
In normal play, the player who removes the very last object wins. In misère play, the player forced to take the last object loses — meaning you want to leave exactly one object for your opponent. Misère is the traditional version (and the one in the 1961 film Last Year at Marienbad); normal play is the version analysed in modern combinatorial game theory because the strategy is cleaner. The two rule sets diverge at the move that creates the all-singletons position: in normal play, win by leaving an even number of singleton piles; in misère, leave an odd number.
What is the winning strategy for Nim?
Bouton's theorem (1901): compute the nim-sum — the XOR of all pile sizes in binary. If the nim-sum is non-zero, the player to move has a winning strategy and should play a move that makes the nim-sum zero. If it is already zero, the player to move loses against perfect play. The 1-3-5-7 Marienbad layout has nim-sum zero (1 XOR 3 XOR 5 XOR 7 = 0), so the second player always wins under perfect play. The 3-4-5 layout has nim-sum 2 (non-zero), so the first player always wins.
Can you take from more than one pile in a turn?
No. Every move must come from a single pile. Taking, for example, 2 objects from Row A and 1 object from Row B in the same turn is illegal — that counts as two moves, not one. You also cannot skip your turn (at least one object must be removed) and you cannot split a pile into two smaller piles (a pile of 7 with 3 removed becomes a single pile of 4).
What age can kids learn Nim?
Nim is suitable for ages 7 and up. The rules — pick one pile, take at least one object, last object wins or loses — are simple enough for early-elementary players to grasp in a couple of minutes. The underlying strategy (binary XOR / nim-sum) is rich enough that the same game engages adults and math students for years. A typical game runs 5 to 15 minutes, making it a great rainy-day or classroom probability/strategy exercise.
What other printable game rules do you have?
Nim joins a growing library of free printable rule sheets for classic public-domain games — chess, checkers, backgammon, mancala, Pig (dice), Yahtzee, poker, hearts, crazy eights, and many more. See the
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