Triangle Peg Game Solution

The following rules of thumb are based on a mathematical analysis of the game and should help you solve the puzzle: Avoid any jump which starts from one of the green interior holes.


Cracker Barrel Peg Game Solution Cracker barrel, Wooden

In case anyone else wants to tear this apart, i have posted in csv form, all of the 438,984 solutions to the game.

Triangle peg game solution. Drill the 2 ¾ center hole with the forstner bit to a depth of ½. Represents a single slot opening of the triangle game. For all solvable problems, we give an explicit solution algorithm.

The basic objective remains the same no matter the shape: The game starts with pegs (golf tees) in all the holes except one; Such a move is almost always a dead end (none of the solutions on the next page include this.

The goal is to finish the game with one remaining ball in the center. Drill three ⅜ diameter holes, ⅛ deep, where marked on the template into the ¾ thick piece. A peg (or ball) can be removed by orthogonally jumping over it with a second ball.

The edge of the triangle is five holes long. This is only possible if the cell behind the first ball is empty. This is called a “genius” ending.

The goal is to jump pegs one at a time, removing the jumped peg until only one peg remains. While the cracker barrel peg game is a triangle, the peg game can take different shapes including a cross or a circle. We develop necessary and sufficient conditions for this game to be solvable.

Move peg 6 to position 4. Solving by hand, it can be difficult to remember the solution on triangle(5), in addition some block removals become interleaved in the. Move peg 4 to position 1.

The template has a pivot screw location, but i just drilled another hole ⅜ diameter hole. Align the board so this vacant hole is on the bottom of the triangle, and is, specifically, hole 13. Avoid jumping into a corner.

According to wikihow, there are 6,816 possible ways to win the game, but just two bad moves are enough to make it impossible to win. Of course, in some situations (such as beginning without a corner peg) this is the only jump possible. Remove the third peg from any one side, so that there are two pegs on either side of a vacant hole.

Full python solution to triangle peg solitaire game using only the python standard library. Games index html5 games flash games elementary games puzzle games. A small script that finds the solution to the cracker barrel peg game / triangle game.

Start at the midpoint of an edge for another possible solution. You can jump along any of the three directions parallel to the outside edges of the board. The instructions on the board say that if you leave only one peg, you are a genius.

Peg game winning solutions and losing positions. Instructions along with one of the game's solution can be found here: Cracker barrel peg game / triangle game solution.

Each peg you jump over must be removed. Move peg 1 to position 6. Peg solitaire works as follows:

These are going to house the magnets. Just click on a peg and if there's a jump available, the peg will jump. The python solution is in a game that can be played in any python idle shell.

The object is to have one peg remaining; You win if only one peg is left at the end of the game. Jump one peg over another into an empty spot, removing the jumped peg from the board.

Click on the diagram to see the solution played out (starting from this triangle(5) solution). The game is played with fourteen pegs on a triangle shaped board, beginning with one empty spot. The central game on this board can be solved in a minimum of 12 moves.

The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. This version of peg solitaire is played on a triangular board, with15 holes. Like checkers, pegs are removed when jumped by another peg.

You must jump each peg over another peg, but only if there is an open space. Leave only one peg remaining (and no, dumping them out on the table doesn’t count.) A small script that finds the solution to the cracker barrel peg game / triangle game.

The game board is a triangle with 15 holes in the same shape as bowing pins, except with an extra row. At the start, allbut one hole contains a peg. Arrange the pegs so position 1 is left open.

This file is 45mb in size. A move consists of jumping one peg over anotherto land in a vacant hole, and then removing the peg that was jumped over. The solution is based off the mathematical academic paper by george i.


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