Talk:Henry Ernest Dudeney/Modern Puzzles/170 - A Heptagon Puzzle/Solution

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There are 126 solutions. We can reduce the number of solutions by a factor of 7 for each tip of the star and then by a factor of 2 due to left-right symmetry. There are 9 unique solutions.

  1. [1, 11, 7, 8, 4, 9, 6, 10, 3, 14, 2, 12, 5, 13]
  2. [1, 11, 7, 9, 3, 10, 6, 8, 5, 12, 2, 13, 4, 14]
  3. [1, 11, 7, 9, 3, 14, 2, 13, 4, 10, 5, 8, 6, 12]
  4. [1, 11, 7, 10, 2, 14, 3, 12, 4, 9, 6, 8, 5, 13]
  5. [1, 12, 6, 8, 5, 11, 3, 9, 7, 10, 2, 13, 4, 14]
  6. [1, 12, 6, 9, 4, 8, 7, 10, 2, 14, 3, 11, 5, 13]
  7. [1, 12, 6, 11, 2, 14, 3, 9, 7, 8, 4, 10, 5, 13]
  8. [1, 13, 5, 8, 6, 11, 2, 10, 7, 9, 3, 12, 4, 14]
  9. [1, 13, 5, 12, 2, 11, 6, 10, 3, 9, 7, 8, 4, 14]

--Julia Hartman (talk) 15:56, 26 June 2023 (UTC)

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