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Klaus Kirchhof,
a German programmer and games researcher with focus on Peg solitaire, a board game for one player involving movement of pegs on a board with holes.

From 32 to 9 Pegs

     ● ● ●             . . .       
     ● ● ●             . . .       
 ● ● ● ● ● ● ●     . . ● ● ● . .   
 ● ● ● . ● ● ●     . . ● ● ● . .   
 ● ● ● ● ● ● ●     . . ● ● ● . .   
     ● ● ●             . . .       
     ● ● ●             . . .       

In his 2013 ICGA article A Diagonal English Peg Solitaire Problem: from 32 to 9 Pegs ^[1], Klaus Kirchhof dedicated the number of solutions posthumously to Martin Gardner ^[2]. His sentence “No one knows how many different ways there are to solve the puzzle leaving the last counter in the center” has caused Kirchhof to implement programs for solving English peg solitaire problems. Kirchhof further credits George I. Bell ^[3] who has made him become aware that the cross count is also valid for the puzzle with diagonal jumps.

Selected Publications

• Klaus Kirchhof (2010). Wie viele Lösungen gibt es beim Einsiedlerspiel? Informatik-Spektrum, Vol. 33, No. 6, Springer (German)
• Klaus Kirchhof (2013). How to Play Orthogonal Central Peg English Solitaire Without a Computer. ICGA Journal, Vol. 36, No. 2
• Klaus Kirchhof (2013). A Diagonal English Peg Solitaire Problem: from 32 to 9 Pegs. ICGA Journal, Vol. 36, No. 3
• Klaus Kirchhof (2014). Ornaments to English Peg Solitaire. ICGA Journal, Vol 37, No. 1

References

1. ^ Klaus Kirchhof (2013). A Diagonal English Peg Solitaire Problem: from 32 to 9 Pegs. ICGA Journal, Vol. 36, No. 3
2. ^ Martin Gardner (1991). The Unexpected Hanging And Other Mathematical Diversions. University of Chicago Press. Peg Solitaire 122 pp.
3. ^ George I. Bell (2011). Notes on Solving and Playing Peg Solitaire on a Computer. arXiv:0903.3696v3

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