Other alternate games include starting with two empty holes and finishing with two pegs in those holes.
This technique can be used with a line of 3, a block of 2♳ and a 6-peg L shape with a base of length 3 and upright of length 4. In the example below, the * is the catalyst.: * There are, however, several other configurations where a single initial hole can be reduced to a single peg.Ī tactic that can be used is to divide the board into packages of three and to purge (remove) them entirely using one extra peg, the catalyst, that jumps out and then jumps back again. Hence a final position with only one peg can not be reached: then one of these numbers is one (the position of the peg, one is odd), while the other two numbers are zero, hence even. Hence after an even number of moves all these three numbers are even, and after an odd number of moves all these three numbers are odd. After every move the number of covered A positions increases or decreases by one, and the same for the number of covered B positions and the number of covered C positions. Initially with only the central position free, the number of covered A positions is 12, the number of covered B positions is 12, and also the number of covered C positions is 12. Divide the positions of the board into A, B and C positions as follows: This is easily seen as follows, by an argument from Hans Zantema. There is no solution to the European board with the initial hole centrally located, if only orthogonal moves are permitted. On the English board the equivalent alternative games are to start with a hole and end with a peg at the same position. This mirror image notation is used, amongst other reasons, since on the European board, one set of alternative games is to start with a hole at some position and to end with a single peg in its mirrored position. There are many different solutions to the standard problem, and one notation used to describe them assigns letters to the holes: Many people never manage to solve the problem. It is very easy to go wrong and find you have two or three widely spaced lone pegs. On an English board, the first three moves might be: Thus valid moves in each of the four orthogonal directions are: * A blue ¤ is the hole the current peg moved from a red * is the final position of that peg, a red o is the hole of the peg that was jumped and removed. indicates a peg in a hole, * emboldened indicates the peg to be moved, and o indicates an empty hole.Gradually work into some harder problems.A valid move is to jump a peg orthogonally over an adjacent peg into a hole two positions away and then to remove the jumped peg. In the next section, we'll start off with some easy problems, then
Here are some pictures of the starts of some other jumps. Jump is the jump that starts in c3 and ends in g3. We'll also use coordinates to describe jumps. Sometimes it's helpful to have a way to describe the holes. Macintosh version: This is a program I wrote myself about 1992.
PEG SOLITAIRE INSTRUCTIONS SOFTWARE
Winarc is part of Parrish's Peanut Software for Windows. He has both the British cross and 15-hole triangular version of peg solitaire in his Winarc package. Window's version: This was written by Rick Parris of Exeter Academy. You can also get computer versions of peg solitaire. However, pennies can be hard on the fingers if you play a lot. If use pennies for markers, you get a board for 15 cents. One of the cheapest ways to make a board is to print the empty board Is the "cross", or British version of rectangular peg solitaire. Oriental Trading Company sells a small (4.5 inches in diameter) version of Chinese Checkers for $1.80, or a larger (10 inches in diameter) for $6.Įnd sells a nice wooden board-one side is Chinese Checkers, and the other Just use the top 15 holes in one of the points. If you have a Chinese Checkers Board, then you have a triangular Oriental Trading Company sells a similar board for $1.50. With golf tees for pegs that sells for $2.
PEG SOLITAIRE INSTRUCTIONS CRACKER
For example, the Cracker Barrel chain sells a wooden board There are several restaurant chains in the U.S. You can't make any jumps in either of these pictures. These two pictures both show jumps that you can make. A peg that is jumped is removed-just like in checkers.Jumps can be made either on the diagonal or the horizontal lines.There must be a space for the jumping peg to land in.Every jump must be a jump of a peg over a neighboring peg.There are just 5 rules for the triangular board. We're going to talk about the version of peg solitaire that is played University and National Science Foundation
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