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Peg Solitaire

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A game played on a cross-shaped board with 33 holes. All holes but the middle one are initially filled with pegs. The goal is to remove all pegs but one by jumping pegs from one side of an occupied peg hole to an empty space, removing the peg which was jumped over. Strategies and symmetries are discussed in Beeler et al. (1972, Item 75). A triangular version called Hi-Q also exists (Beeler et al. 1972, Item 76). Kraitchik (1942) considers a board with one additional hole placed at the vertices of the central right angles.

See also Hi-Q


Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972.

Gardner, M. ``Peg Solitaire.'' Ch. 11 in The Unexpected Hanging and Other Mathematical Diversions. New York: Simon and Schuster, pp. 122-135 and 250-251, 1969.

Kraitchik, M. ``Peg Solitaire.'' §12.19 in Mathematical Recreations. New York: W. W. Norton, pp. 297-298, 1942.

© 1996-9 Eric W. Weisstein