PVS Nim icon

Description

Nim is a classical game of logic and strategy characterized by simple rules but rich mathematical structure. In its most common form, the game consists of several rows (or piles) of objects—traditionally matches or stones. Two players take turns removing one or more objects from a single row during each move. The defining rule of the version implemented here is misère Nim: the player who removes the last object loses the game. Despite its apparent simplicity, Nim requires careful planning and foresight, as each move alters the strategic landscape for both players.

The origins of Nim can be traced back to the late 19th century, although similar take-away games existed much earlier in various cultures. The game was formally analyzed and popularized by the mathematician Charles L. Bouton in 1901, who demonstrated that Nim is completely solvable using mathematical principles. Bouton showed that every position in the game can be classified as either winning or losing, and that optimal play can be determined through a simple calculation involving binary representations of the pile sizes. This discovery made Nim one of the earliest games to be fully understood from a mathematical standpoint.

Over time, Nim has inspired numerous variations that modify its rules and complexity. These variations may change the win condition (for example, making the player who takes the last object the winner), restrict the maximum number of objects that can be removed in a turn, alter the number of rows, or vary the initial distribution of objects. Each modification changes the strategic dynamics of the game, sometimes subtly and sometimes dramatically, making Nim a flexible framework for exploring game theory, combinatorics, and decision-making.

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HTMLExe

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32 bit and 64 bit Compatible

This implementation of Nim is delivered as a self-contained application compiled from web technologies using HTMLExe, combining the portability of a web-based interface with the convenience of a standalone program. Players can interactively explore strategic principles within a finite yet nontrivial game space, experiment with different approaches, and learn to recognize winning and losing positions. Whether approached as a casual puzzle or as a demonstration of mathematical reasoning in action, Nim remains a timeless example of how simple rules can give rise to deep and elegant logic.

Current version of the Nim Game is Loading...

Previous versions can be downloaded from here.

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Registration

No registration is needed for the current version. Nonetheless, you are welcome to submit your comments to improve this app at the Contact us web page.

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Developers


Dr. Luis O. Tedeschi

Dr. Luis O. Tedeschi
Professor
Texas A&M University
Department of Animal Science
230 Kleberg Center
2471 TAMU
College Station, TX 77843-2471
US

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Support

The following list summarizes corrections, enhancements, and functional improvements made to the software, presented in chronological order (newest to oldest). Each entry reflects updates implemented to improve stability, usability, and overall performance.

There are no corrections, enhancements, or functional improvements to report at this time. However, several related documents, manuscripts, and reports are listed on the Publications web page.

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This section will be updated with relevant links as they are identified and curated for this app.

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