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Solitaire
References
Mallett,
Jeff
An Optimal Solution for the 8x8
Diagonal Solitaire Puzzle (online)
A proof that at least 4 marbles must remain on the board at the
end of this puzzle.
Beasley,
John D.
The
Ins and Outs of Peg Solitaire
Recreations in Mathematics series, Oxford University Press, 1985,
275pp., ISBN 0-19-853203-2
A detailed account of all aspects of peg solitaire, essential for
the enthusiast, through the mathematics is fairly heavy in spots.
Includes a detailed bibliography, glossary, index, and
hundreds of solutions to problems. Out of print, but
widely available in libraries.
editors
of Klutz Press
(The
Klutz Book of) Peg Solitaire, 23 All-on-your-own
Games
Klutz Press, 1996, 62 pp., ISBN 1-57054-033-0, $17.95
Light introduction for beginners, covering solitaire on the 33-hole
English board and the 13-hole star board. Includes two bound-in
boards in hard plastic and a zippered envelope with plastic pegs,
making it easy to try out the various problems given in the book.
The Strategies section explains three of the basic removal patterns. Full
solutions to most of the problems are included.
Berlekamp,
Elwyn R., John H. Conway, Richard K. Guy
Winning
Ways, 2 volumes
Academic Press, 1982, 850 pp., ISBN 0-12-091102.7
The definitive work on all aspects of mathematical games and puzzles.
Chapter 23, Purging Pegs Properly, covers peg solitaire on the 33-hole
English board, showing how to break down a problem into individual
`packages`. Other problems are also discussed, and some
of the mathematical theory of the game is outlined. Like
Beasley's book, Winning Ways is heavy on the mathematics, but is
out of print and in great demand among puzzle enthusiasts. Libraries
should have this also.
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