A full solution follows and interestingly, it also ends with the final peg standing in hole 13; there must be a good reason. From there, it pretty much solves itself! Feedback from reader Merv Eberhardt provides an interesting twist on the above solution. He wanted a solution where the last peg ends up in the same position which was empty at the start. Taking genius to a new level….
The solutions below achieve this goal, and I note that they all also achieve the magic diamond after 3 moves, so it is really the finish that is varied to move the ending position from hole 13 as is listed above to instead finish at the position which was empty at start.
Wow, I had no idea you could win with one of the middle holes open from the start! I refer to them as D1, D2, and D3, respectively. D1 is achieved from starting positions 1, 7, 10, and D2 from relative positions 11, 14, 2, and 6. D3 from 15, 3, 14, and 4. Please publish: MervEberhardt knology.
These lead to diamond patterns D1, D2, D3, and D3 my designations , respectively. For 1 the moves to D1 are , , and From 10 the moves to D1 are , , and From 13 the moves to D1 are , , and Make two groups of pegs. As you'll see, the next set of moves will divide the pegs into two groups, one on each side of the triangle. Move the peg in position 7 to position 2, jumping position 4.
Move peg 13 to position 4. Next, move peg 10 to position 8. You should now have two groups of pegs, with 5 pegs on the left side and 3 on the right. Separate the triangle in two. This next set of steps will make a curved line across the triangle, dividing it into two parts. Move peg 2 to position 7. Then take that same peg and move it to position 9. Next, move peg 15 to position Move your last pegs to the bottom row.
These moves will leave you with three final pegs, all in the bottom row. Move peg 12 into position Next move peg 6 to position You should now just have three pegs left in the bottom row. Complete the last moves. Move peg 14 to position Then make the last move, peg 11 to position Win the game. The ending peg should be in the 13th hole. You've just completed the Peg Game. The objective of Chinese checkers is to have all your marbles in your opponent's triangle.
Each marble can only move on space in one turn unless you jump. Each marble can jump over another marble. You can make as many jumps as possible for the marble you are jumping in one turn. This game requires planning ahead and thinking, so you can get to your opponents triangle before they get to yours! Check out this article for more detailed instructions: how to play chinese checkers.
Not Helpful 19 Helpful No, 1 can't jump to 13 even if it jumps over a peg such as peg 2 or 3. It would land on spaces 4 or 6. Not Helpful 33 Helpful Not Helpful 29 Helpful It was designed as a single-player game, but depending on how many colors you have, and how many pegs of each color you have, up to four could play.
Not Helpful 18 Helpful Tom De Backer. Humans have always enjoyed finding challenges that are difficult but doable. This is a one-player game, that is immensely challenging, and achieving the win as well as figuring out the strategy to win is hugely satisfying. To win is a true test of intelligence and ingenuity, which at least partly explains its enduring popularity over the centuries.
Not Helpful 8 Helpful You have to take peg four, and jump over peg two into peg one. So pegs two and four are empty on the first move. And if 1 remains, pts excellent. Not Helpful 5 Helpful 6. Move pin 12 to hole 5 removing pin 8. Move 14 to 12 removing Move 10 to 8 removing 9. Move 2 to 9 removing 5. Move 3 to 10 removing 6. Move 7 to 2 removing 4.
Move 1 to 4 removing 2. Move 15 to 6 removing Move 6 to 13 removing 9. Move 12 to 14 removing Move 4 to 13 removing 8. This file is 45MB in size. Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Skip to content Many years ago I wrote a web posting of how to solve the Cracker Barrel golf tee triangle board peg game puzzle. Wrote a program Troubled that I did not have a finish position equal starting position for hole 5, I wrote a program to solve the puzzle.
The answers are There is no path to the magic diamond from starting position 5 5, 8, 9 There is no finish in same hole as started for position 5 5, 8, 9 Some other neat stuff came out of the exercise though! Statistics Just as the starting holes of 1, 11 and 15 are really the same puzzle rotated, there are numerous methods of solving the puzzle which are just variations of the same solution. How many solutions are there for each starting hole?
Glad you asked! Start-Peg Winners Losers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total , ,, ,, Peg game winning solutions and losing positions Solutions posted online In case anyone else wants to tear this apart, I have posted in CSV form, ALL of the , solutions to the game.
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