#TRIANGLE WOOD GAME GOLF TEES HOW TO#
#TRIANGLE WOOD GAME GOLF TEES CRACKER#

Peg game winning solutions and losing positions How many solutions are there for each starting hole? Glad you asked! Start-Peg If you switch a couple jumps in sequence, or jump in opposite directions, you can produce many more solutions which are really the same solution. 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. Some other neat stuff came out of the exercise though! Among the more interesting observations is that while there are 1,550 solutions to starting hole 5, every single one of them finishes with the last peg standing in position 13! This means that in reality there are very few solutions to starting position 5.

There is no finish in same hole as started for position 5 (5, 8, 9).

There is no path to the magic diamond from starting position 5 (5, 8, 9).

As a programmer, this was itself a good puzzle, much like playing the game. The program starts with one position empty and then solves ALL of the possible solutions for that position, and then moves onto the next starting position, until all of the solutions are known. Solve it yes, but I mean solve ALL of the variations.ДЇrom any position, you can jump up-left, up-right, left, right, down-left, down-right. Troubled that I did not have a finish position equal starting position for hole #5, I wrote a program to solve the puzzle.

#TRIANGLE WOOD GAME GOLF TEES HOW TO#

I asked that if anyone could figure out how to get to the goal position from start position 5, please let me know. Goal position or вЂњmagic diamondвЂќ is listed below.

The nice thing about the solution discussed in the prior blog is that after 3 moves, all the solutions are the same no matter where you started, except position 5 which is same as 5, 8, 9. I mean, a solution to the puzzle is the same in all cases, there are lots of variations on the solution to the puzzle. Recall that once 3 moves are complete for all the other starting positions, the solution to the puzzle is the same in all cases. Related, I had never been able to get to the goal position or вЂњmagic diamondвЂќ from a starting position of 5, 8 or 9.

In updating that blog for a solution of finish hole equals to the starting empty hole, I was troubled that the solution provided by reader Merv EberhardtВ included a solution for 4 of the possible 5 starting holes, but did not include a solution for the evil hole #5

This is now located on this blog in a preceding post here.

#TRIANGLE WOOD GAME GOLF TEES CRACKER#

Many years ago I wrote a web posting of how to solve the Cracker Barrel golf tee triangle board peg game puzzle.

Triangle wood game golf tees