![]() These lead to diamond patterns D1, D2, D3, and D3 (my designations), respectively. Your table of END AT START solutions used starting positions 1, 2, 3, and 4. Peg Game solutions finishing in same hole as start ![]() 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. He wanted a solution where the last peg ends up in the same position which was empty at the start. From there, it pretty much solves itself! ? 14įeedback from reader Merv Eberhardt provides an interesting twist on the above solution. With practice, solving this “hard one” is really just remembering that there are only 2 possible first moves and this solution starts from the right, the next couple moves are filling the pegs just jumped over or from and the 4th is opening the middle hole on the right side of the triangle. A full solution follows and interestingly, it also ends with the final peg standing in hole 13 there must be a good reason. I have not found a method to get to the “same as the others” solution when start with hole #5 (aka 8, 9). Update J– there is no set of moves to get to magic position from “5”įirst three moves for starting position (1, 11, 15 - Collectively called “1”).If someone figures out how to get to the “magic” 3rd position when start with hole 5 empty, please let me know. The neat thing to observe is that start positions 1, 2 and 4 and 11, 15, 3, 7, 12, 10, 14, 6 and 13 are really the same as they have the same solution once you get past the first 3 moves! This means that there are only 2 puzzle solutions that need to be memorized to solve all positions on the puzzle. Starting positions 4/6 are also swappable 13 is the same as 4/6 once you rotate the board. Even if seen backwards, after the first 3 moves, both line up for the same standard solution. 2 and 3 are really the same if you view them “mirrored”. For example, all the points are position “1”, even if they are otherwise called “11” or “15” the puzzle is the same once you rotate the board even if only mentally. There are 15 pegs in the board, but only 4 starting positions. Here are the moves for “after” the goal position is reached. Notice that there is only one sequence to remember as you can get to the goal position from any of the starting positions based purely on shape. From there, solve solve as if it were starting position 1. The “trick” is to get to the same pattern after the first three moves, the goal shape. To mix it up, jump them in reverse and it won’t look like you’re solving the puzzle the same way every time.Īlmost there, the diagonal jump clears all but the bottom of the puzzle and the bottom clears “easy”.įor the other starting positions (except position 5 which we will cover later), the same solution is used after the third jump. The next steps are to clear the second from bottom row (the yellow tees) and the bottom row.ġ5-13 and 12-14 clears the bottom. The next moves, 7-2, 13-4 and 2-7. This shape is not too critical, the photo just shows the puzzle progressing. Learning to solve the puzzle from this point is the key to success with the game. ![]() This shape will be referenced later in this document as the “goal position” for the other variations of the game using different starting holes. With these complete, the “magic” base follows. After 3 moves, they all look the same except the evil #5! That is followed by instructions on how to solve for the other starting positions, with the happy addition that most of the starting positions are just variations of the standard #1 start. The initial discussion on this page shows how to solve the puzzle with hole #1 empty. The normal starting hole (empty hole) is hole #1. Photographs follow showing the board from start of game through completion. I suspect that the genius title is overstated, but if you follow the instructions on this page and you’re sure to impress the family!įor the pages that follow, the puzzle is viewed in this orientation and the hole numbers referenced. The instructions on the board say that if you leave only one peg, you are a genius. The game starts with pegs (golf tees) in all the holes except one the goal is to jump pegs one at a time, removing the jumped peg until only one peg remains. The game board is a triangle with 15 holes in the same shape as bowing pins, except with an extra row. Moved from web page to blog and added solutions for finish position equal start position. This page describes how to solve the puzzle from any starting position. When visiting the Cracker Barrel restaurant, you will find a 15-peg triangle board game on each table.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |