Before you jump into a corner for example, will that peg now be isolated and unable to be removed?Īs you play the game, try to think one or two steps ahead. You must be careful not to make a move which will trap your pegs and make them unable to be removed. But is the Game Really that Easy?Īs you jump, think about where your peg will land. With up to 60 holes, these boards make an intense and complicated game that you’ll want to play over and over again until you succeed. The largest peg boards in the game are the incredible Snowflake and Hexagon boards. Or would you find it easier to start with a larger board, which gives you more room to move, more pegs to jump and more opportunity to work out your own strategies for playing the game. If you are new to the game, or maybe it’s been a while since you last played, why not start with the Star board? With only 12 holes and 11 pegs, it’s the most simple Peg solitaire game to choose. There are 12 peg solitaire boards to chose from. With only one peg left in play, you have won the game. The purpose of the game is to keep jumping over pegs until you are left with only one. You are now ready to select any other peg on the board and make another jump, as long as you are able to jump over one other peg and land in an empty space. The peg that you have just jumped over is then removed from the game. Choose a peg then jump it over another into an empty space. There is one more hole than the number of pegs. Instead of a deck of cards, the game is played on a wooden board with holes and, as the name suggests, some pegs. Peg solitaire is not like other solitaire games. How is Peg Solitaire Different From Regular Solitaire? Tap a peg to select it, and then tap an empty space to make a jump. To clear a peg, jump over it into an empty space. Your goal is to clear all of the pegs but one. Remove pegs by jumping over them, just like Checkers, until only one peg remains in the center of the board. MathWorld-A Wolfram Web Resource.Peg solitaire, also called Chinese Checkers, is a game of luck and skill. Referenced on Wolfram|Alpha Peg Solitaire Cite this as: "Peg-Solitaire, String Rewriting Systems and Finite Automata." Proc.Ĩth Int. "One-Dimensional Peg Solitaire, and Duotaire." Working To Automata Theory, Languages, and Computation, 2nd ed. R. J. Nowakowski.) Cambridge, England: Cambridge University Press, 1998. MSRI Workshop on Combinatorial Games, July, 1994 (Ed. "Unsolved Problems in Combinatorial Games." In Games Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Unexpected Hanging and Other Mathematical Diversions. "A Programming and Problem Solving Seminar." Stanford University Technical Ways for Your Mathematical Plays, Vol. 2: Games in Particular. Oxford, England: Oxford University Press,ġ992. Bell gives necessary and sufficient conditionsįor this problem to be solvable and a simple solution algorithm. To removing peg 3 and flipping the board horizontally. Also because of symmetry, removing peg 2 is equivalent Because of symmetry, only theįirst five pegs need be considered. Numbering hole 1 at the apex of the triangle and thereafterįrom left to right on the next lower row, etc., the following table gives possibleĮnding holes for a single peg removed (Beeler 1972). There is also triangular variant with 15 holes (where 15 is the 5th triangular number )Īnd 14 pegs (Beeler 1972). Strategies and symmetriesĪre discussed by Gosper et al. All holes but the middle one are initially filled with pegs. One of the most common configurations is a cross-shaped board with 33 holes. The goal is to remove all pegs but one by jumping pegs from one side of an occupied peg hole to an empty space, removing the peg which was jumped over. A game played on a board of a given shape consisting of a number of holes of which all but one are initially filled with pegs.
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