Peg Solitaire

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

References

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.

• Pappus-Guldinus Theorem
• Pappus's Centroid Theorem
• Pappus's Harmonic Theorem
• Pappus's Hexagon Theorem
• Pappus's Theorem
• Parabiaugmented Dodecahedron
• Parabiaugmented Hexagonal Prism
• Parabiaugmented Truncated Dodecahedron
• Parabidiminished Rhombicosidodecahedron
• Parabigyrate Rhombicosidodecahedron
• Parabola
• Parabola Caustic
• Parabola Evolute
• Parabola Inverse Curve
• Parabola Involute
• Parabola Pedal Curve
• Parabolic Coordinates
• Parabolic Cyclide
• Parabolic Cylinder
• Parabolic Cylinder Function
• Parabolic Cylindrical Coordinates
• Parabolic Fixed Point
• Parabolic Geometry
• Parabolic Horn Cyclide
• Parabolic Partial Differential Equation