2 Modelling English Peg Solitaire The possible transitions of a peg from one position on the board to another are de ned using a coordinate system, as per Figure 1. We adopt the convention that x;y is the xth column and yth row and denote a transition from x;y to x0;y0 as x;y! We de ne a move as a transition at a particular time-step, t. Peg Solitaire Description: This classic peg solitaire game has a long history back to the 17th century. The object of this game is to move the pegs until only one peg is left. Game Description You'll understand why games on the chessboard are so irresistibly engaging. In Peg Solitaire, your goal is to remove pegs from the board until only one peg is left. You will be given a cross-shaped board with multiple pegs, while the hole at the center is left empty.
By Michael Hartley
Peg Solitaire is the latest puzzle game from Article 19. Get ready to test your brain to solve these deceptively tricky puzzles. Following the simple rules of Checkers, your goal is to leave one sphere in the center peg. With hundreds of puzzles across multiple difficulties you'll. Peg Solitaire at Cool Math Games: This puzzle game dates back to the 17th century. Can you find the right moves to get down to one?
Peg Solitaire (called Solitaire in the UK and Australia) is a really tough game of wits and logic. At the start of a game of peg solitaire, a board is filled with pegs, except for one empty space. Then, pegs are made to jump over each other - you can only jump up and down, or left and right, not diagonally. You can only jump over one peg at a time. When a peg is jumped over, it disappears.
In other words, the rules of peg solitaire are simple. The puzzle itself is very challenging. If you don't get the rules from the description above, you'll understand them quickly enough if you play - when the Java Applet below has finished loading, click Go, and you'll be able to play Peg Solitaire straight away.
Even if you can't reduce the board to a single peg, challenge yourself to leave as few pegs on the board as possible at the end. The solaitaire applet above has several different versions of peg solitaire you can play. Select the style of board (English, German, Continental etc) and which of the many ways there are to set up the pegs at the start, then click 'Play'. See if you can reduce the number of pegs to just one!
If you are looking for a real hold-in-your-hand-and-play-offline peg solitaire set, there are plenty on Amazon.com.
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Peg solitaire is a popular board game for one player. Choose a challenge problem and start to play.
[more]Peg Solitaire Instructions
Moves are made horizontally or vertically. A move can be made if a middle peg has another peg on one side and a hole on the other. In that case, the side peg jumps over the middle peg into the hole, and the middle peg is removed. The object is to remove all but one of the pegs on the board, with the last peg in the center of the board.
Tip: If you cannot solve a puzzle, press the 'restart and solve' button to step through a solution.
[less] Contributed by: Frederick Wu(March 2011)
Based on a program by: Jacob A. Siehler
Open content licensed under CC BY-NC-SA
Snapshots
Details
Peg Solitaire Solution
References:
Peg Solitaire 15
[1] M. Kiyomi and T. Matsui, 'Integer Programming Based Algorithms for Peg Solitaire Problems,' Computers and Games, 2001 pp. 229–240.
[2] C. Jefferson, A. Miguel, I. Miguel, and A. Tarim, 'Modelling and Solving English Peg Solitaire,' Computers and Operations Research, 33(10), 2006 pp. 2935–2959.
[3] S. S. Skiena, The Algorithm Design Manual, 2nd ed., New York: Springer, 2008 pp. 231–233.
Cool Math Games Peg Solitaire
[4] D. E. Knuth, 'Estimating the Efficiency of Backtrack Programs,' Mathematics of Computation,29(3), 1975 pp. 121–136.
Peg Solitaire Strategy
Related Links
- Peg Solitaire (Wolfram MathWorld)
- Tree Searching (Wolfram MathWorld)
- Depth-First Traversal (Wolfram MathWorld)
- Backtracking (Wolfram MathWorld)
- Recursion (Wolfram MathWorld)
Permanent Citation
Peg Solitaire online, free Game
'Playing and Solving Peg Solitaire'
http://demonstrations.wolfram.com/PlayingAndSolvingPegSolitaire/
Wolfram Demonstrations Project
Published: March 7 2011