The Solution to an Old Puzzle

When I was a child, we used to play with this puzzle which consisted of a pegboard with 32 pegs to be arranged initially as shown below. The object was to "jump" one peg over another, either horizontally or vertically, and remove each jumped peg in a series of moves which would finally result in a single peg left on the board. According to the instructions, if that last peg ended up in the center hole (shown in black, below), the player was an Einstein!

My Dad, Paul W. Venable, taught us the following solution, which he arrived at in about 1968. The peg to end up in the center hole is colored pink. Note that all possible solutions require exactly 31 moves, since a peg must be taken away on each move.

  1. D6 to D4
  2. F5 to D5
  3. E7 to E5
  4. C7 to E7
  5. E4 to E6
  6. E7 to E5
  7. E2 to E4
  8. G3 to E3
  9. G5 to G3
  10. D3 to F3
  11. G3 to E3
  12. B3 to D3
  13. C1 to C3
  14. E1 to C1
  15. C4 to C2
  16. C1 to C3
  17. C6 to C4
  18. A5 to C5
  19. A3 to A5
  20. D5 to B5
  21. A5 to C5
  22. D3 to B3
  23. B3 to B5
  24. B5 to D5
  25. D5 to F5
  26. F5 to F3
  27. F3 to D3
  28. D4 to F4
  29. D2 to D4
  30. C4 to E4
  31. F4 to D4


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