Triangle Peg Game
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Playing to Lose
The Triangle Peg Game game was made famous by the popular restaurant Cracker Barrel. The stated objective of the game is to leave as few pegs as possible. Solutions for leaving a single peg are easily found on a number of websites. But suppose you play to lose...
The most pegs that can be left remaining is ten. This is shown in the picture below. This position can only be reached while starting the game with one of the inner pegs vacant.
Leaving one of the corner pegs remaining gives a lower amount of most possible pegs remaining, eight. This is shown below.