Guy, Winning Ways for Your Mathematical Plays, v2, Academic Press, 1982. What remains consists of two symmetricalĬonfigurations that can be removed by steps 5,6,7, and 8 from the upper left diagram. Picture pops prior problems.First, take care of the middle 3-purge. In the left puzzle, 6 and 7 are 2-packages while 8 is a 4-package. You should check that every purge has a catalyst it needs. Plenty of problems are performed with panache by people who purchase our packages.īelow we can see at a glance a solution to the Peg Solitaire, consisting of two 3-purges (1 and 2)įollowed by three 6-purges (3,4 and 5) and an L-purge, leaving only for the final The catalystįor the 2-purge is restored in a rather unorthodox way, as is alternative catalyst for the 6-purge (h). Of the L-package form a 2-purge (g) which can also be used in other situations. L-purge is already in place and an L-package supplies the second. The L-purge (e) and L-package (f) are very useful indeed. The 6-purge (c) is usually accomplished using a 2-package to deliver the first peg and a 4-package (d) for the second. For the 3-purge (a), one peg was already in place and the second is deliveredīy a single jump which we might call the "2-package" (b). (which may be a peg or an empty space) and the remaining moves form one or two packages which deliver In most of the purges there are two catalyst moves in opposite directions over the same position
#PEG SOLITAIRE SOLVING JAVA FULL#
In the Figure below, a dark dot indicates a peg to be purged, a hollow one a space to be filled,Īnd crosses XX indicate catalyst places of which one must be full and the other empty. Since the peg and the space on either side of the headĪre essential to the package, but are restored to their original state, we call them the The head move 2 jumps tail over body into head and move 3 jumps over the Move 1 of the package jumps the additional peg over
Remove them all, provided the head has an additional peg on one side of it, and an empty Pegs-the tail, the body and the head - are adjacent in line, this will The Figure shows the handy little 3-purge, our most popular package. When a package is used toĬlear all the pegs from a region, we call it a purge. Them, so let us sell you some of our instant packages. It's nice to be able to know the effect of a whole collection of moves before you make Winning Ways for your Mathematical Plays, v2.
#PEG SOLITAIRE SOLVING JAVA INSTALL#
If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet. This applet requires Sun's Java VM 2 which your browser may perceive as a popup. The game has a very fine theory that in part demonstrates the economical manner in which mathematicians like solving their problems - they try solving smaller and simpler problems first. If you discover a nice starting configuration, I'll be happy to incorporate it into the applet with due references. When it's checked, you either set or remove pegs from the board. You may try creating your own starting configuration by selecting "Design your own". You are able to retract as many moves as you made in a single game. Do not be afraid to experiment during the play: you can always backtrack by pressing the Undo button. (In the applet, there is a normally disabled checkbox Center to indicate the goal.) Configurations are selected from a combobox at the lower right corner of the applet. In others, to end up with a single peg at the center of the board. In some, the goal is to reverse the starting configuration. Other starting configurations are available. Therefore, the goal for this configuration is to end up with a single peg in the middle of the board. At the beginning, you are presented with the standard configuration where just one peg - the central one - is missing. The goal of a regular game is to reverse a starting configuration: Positions with pegs must become empty while empty positions should be filled with pegs by the end of the game. Then you click at the square (hole) to which you want the peg moved. To move a peg, you select it first by clicking on it once. The peg that has been jumped over is removed. Pegs (red circles in this implementation) are allowed to jump over adjacent (vertically or horizontally) pegs. Peg Solitaire (also known as Hi-Q) has very simple rules.
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