Diagonal jumps are not allowed, and there must always be an empty target hole on the other side of the peg being jumped in order for the move to be legal (they can't jump over one peg and land on another). Pegs can only jump over pegs that are horizontally or vertically adjacent to the jumping peg, and can only jump over one peg at a time. Whenever a peg is jumped, it is removed from the board and is out of play. How to Play Peg SolitaireĪ player selects a peg and then moves it across the board by legally jumping any other peg that it chooses. To begin, let's take a quick refresher course on how a game of Peg Solitaire is played. The Chess and Poker Dot Com Peg Solitaire guide follows this solution with a clear, graphical explanation below. In fact, a man named Ernest Bergholt actually provided a solution to Peg Solitaire back in 1912 that required only 18 moves to sweep the board of pegs except for a lone fellow landing beautifully in the center hole on the final move of the game. However, many players worked very hard over the more than 300 years that the game has been played to discover a solution to the challenging puzzle, manually hashing out the moves by hand until they could successfully map out the proper configurations. If you've ever tried your hand at solving a Peg Solitaire board, you'll surely understand how frustratingly elusive these simple tasks turn out to be. The object of the game is to not only remove all of the pegs from the board by jumping over them with any of the other pegs, but also to accomplish this daunting task while simultaneously ending your jumping spree with a peg resting exactly in the center hole of the board. With easy-to-learn rules and seemingly simple goals, many are taken by surprise when they discover how deceivingly difficult the puzzle turns out to be. Peg Solitaire is one of the most recognizable and popular board games of all time. In particular, we show that the set of configurations that can be reduced to a single peg forms a regular language, and that a linear-time algorithm exists for reducing any configuration to the minimum number of pegs.How to Solve Peg Solitaire (Hi-Q) with Step-by-Step Advice (Cristopher Moore, David Eppstein) - From the abstract: We solve the problem of one-dimensional peg solitaire. It is complemented by his more theoretical Analysis of Peg Solitaire page. (Jaap Scherphuis) - Jaap's page has a concise, memorable solution to the 32-peg "classic," or "central complement" puzzle, and some enumerative results. (John Beasley) I recommend Beasley's out-of-print book The Ins and Outs of Peg Solitaire, but if you can't find it, there is a generous amount of interesting reading on his web page, including more recent writings. (George Bell) A 2016 paper on computer search for particularly challenging solitaire problems, as well as symmetric ones. (George Bell) This article from Mathematics Magazine is a good place to start reading about the mathematical theory of the game. You might want to start with one of the following articles instead. However, it is so comprehensive that it can be overwhelming. George Bell's collection of information about peg solitaire is the ne plus ultra, and his list of references is so extensive that this one is practically redundant. Peg Solitaire is rich in algebraic, combinatorial, and algorithmic theory. The difficulty ratings are subjective, so take them with a grain of salt. ![]() The collection aims to be interesting, and well-graded in difficulty, rather than comprehensive. Of the remaining problems, some I drew up by hand, and some were computer-generated. ![]() I modeled the graphics here on that version of the game. Perhaps you had the same one, the one with the professorial owl on the box top. Some of the problems in this collection are drawn from the charming New Problems in Puzzle-Peg booklet (copyright 1929) included with the solitaire board I had as a child.
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