- Many of you may be familiar with a puzzle game that consists of a 15-peg triangle and is dubbed as "The Original IQ Test". The idea behind the game is that you fill 14 of the 15 holes with pegs, and the way to play is to "jump" another peg into an empty space adjacent to the peg that is being jumped over.
- We note that the peg solitaire board has 33 holes. Each hole can either be empty or it can contain a peg. Thus there is a maximum of 2^33 = 8,589,934,592 combinations of holes that may or may not have a peg in them.
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Triangle peg solitaire solution algorithm
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- There is no solution for starting with an empty hole in the centre and finishing with the last peg being in the center hole. - There is a solution starting with a hole above on the left and ending with one peg below on the right.
- 15 peg Triangle board. For solutions to this version, see the Triangular Solitaire page. The triangular grid has only one way to 3-colour it. There are 5 holes of each colour. Therefore the final peg must end in a hole of the same colour as the starting hole.
- Peg Board . The simplest peg solitaire design is the triangular peg board, often referred to as the “Cracker Barrel” design. This design is similar to an equilateral triangle where each edge has the same number of pegs, and each row has one more peg than the row above it.
- Hello, all. I am in the process of writing a peg solitaire solver in Python. It will allow the user to select the shape of the board in the future but for now I'm testing it with a standard 5 row triangle game, like the ones you find in Cracker Barrel. It's the game where you start out with pegs in ...
- Mar 29, 2007 · The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient conditions for this game to be solvable. For all solvable problems, we give an explicit solution algorithm. On the 15-hole board, we compare three simple solution strategies.
Starting from a board with one peg missing, the goal is to jump pegs (removing the jumped peg) and finish with only one peg. There are two ways to use this web site. You can read over the tips below, and go back and try to solve the puzzle yourself, or you can memorize a solution and amaze your friends (solutions are given on the next page). We consider the one-person game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient conditions for this game to be solvable. For all solvable problems, we give an explicit solution algorithm. On the 15-hole board, we compare three ...
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