Gradually work into some harder problems. 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. 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. 145 challenges This game features 5 different Solitaire board sizes, with 14, 20, 27, 35 or 44 pegs. One of the cheapest ways to make a board is to print the empty board Play this fantastic Triangle Peg Solitaire Deluxe. 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. 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 Good luck, and share the ones that you find with me.University and National Science Foundation Haven't pursued it yet, but since there are thousands of solutions to this puzzle, I assume that there would be other sequences which produced a prime also. I first came across this curious little fact at the Prime Curios page. By the way, if you only sum the values of the landing holes, that's prime also (73). Not only does this solution leave the final peg in the original empty hole, but the sum of all the x,y hole numbers in the solution is prime (179) and if I time this right it should be first posted on the 179th day of the year 2012. If you number the holes starting at an apex of the triangle with one, then two and three on the next row, and continue with 11 through 15 on the bottom row, then moves can be described with (x,y) coordinates where the term (x,y) means move the peg in hole x to hole y.Ī winning solution to the 15-hole triangular peg solitaire game using this method is: (4,1), (6,4), (15,6), (3,10), (13,6), (11,13), (14,12), (12,5), (10,3), (7,2), (1,4), (4,6), (6,1). The solution I just came across is for the case in which you start with the top corner (the one hole) empty, and finish with a single peg in that hole (which I just learned is called a single vacancy complement solution). The truth is, there are thousands of possible solutions to the game. The hardest place to begin is with the missing peg at one of the green interior holes. The easiest place to begin the game is with the missing peg (hole) at one of the blue midpoint locations.Such a move is almost always a dead end (none of the solutions on the next page include this jump). Avoid any jump which starts from one of the green interior holes.Of course, in some situations (such as beginning without a corner peg) this is the only jump possible. The following rules of thumb are based on a mathematical analysis of the game and should help you solve the puzzle Note the symmetry of the triangular board: there are three corner holes (red), three interior holes (green), and three holes at the midpoint of each edge (blue), plus six "other" holes (yellow). If you get frustrated, here are some good hints about the game from an excellent page by George Bell. If you get really interested, you can try games removing any one of the pegs instead of a corner ( which is NOT the easiest possible solution). If you want to play the online version of the game, try your luck here. The puzzle shown above, often called a triangular peg solitaire game is so common you may have last seen it on your table at Cracker Barrel Restaurants.īelow I will give a solution to a common form of the puzzle, so don't look too far below if you want to test out your skills without clues or a solution.
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