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Variants of nim have been played since ancient times. [1] The game is said to have originated in China—it closely resembles the Chinese game of jiǎn-shízi (捡石子), or "picking stones" [2] —but the origin is uncertain; the earliest European references to nim are from the beginning of the 16th century.
The goal of the game is to be the player who removes the last object. The nimber of a heap is simply the number of objects in that heap. Using nim addition, one can calculate the nimber of the game as a whole. The winning strategy is to force the nimber of the game to 0 for the opponent's turn. [2]
Dr. Nim was based on a mathematical game called NIM, which similarly consisted of twelve marbles. A simple strategy will always win as long as the opponent goes first. This is the strategy for single-pile NIM: If the opponent takes 3 marbles, the first player should take 1. If the opponent takes 2 marbles, the first player should take 2.
A game is a nim game, if: it has a genus 0 1, 1 0, 2 2, 3 3... it has moves only to single nim heaps, i.e. move to a position *1, or *2, but not e.g. *x+*y (but see next point) it may also have moves to games which are not nim, provided they are not required to determine the genus, and those games each have at least one option to a nim game of ...
TacTix is a two-player strategy game invented by Piet Hein, a poet well known for dabbling in math and science, best known for his game Hex. TacTix is essentially a two-dimension version of Nim; players alternate moves, removing one or more tokens in a single row or column until the last one is removed. At the time of its founding, TacTix was ...
Android Nim is a computerized version of the strategy game Nim programmed by Leo Christopherson for the TRS-80 and published in 1978 by 80-NW Publishing. A port to the Commodore PET by Don Dennis was released in July 1979, followed by an Apple II version in 1980.
With perfect play, if neither side can force a win, the game is a draw. Some games with relatively small game trees have been proven to be first or second-player wins. For example, the game of nim with the classic 3–4–5 starting position is a first-player-win game. However, Nim with the 1-3-5-7 starting position is a second-player-win.
Screenshot of Nim. There are three games, each with six variations: Bagels, Nim, and Mastermind. [5] In each game the player must take turns to guess a numerical code and enter it using the keyboard controller. [3] The games may be played in single-player mode, or in a two-player mode where the players play together. [1]