List of Impossible Puzzles

This is a list of puzzles which have been proven impossible. An impossible puzzle is a puzzle that cannot be solved by following the directions or criteria for that puzzle.

  • Mutilated chessboard problem
  • Some variations of Fifteen puzzle
  • Three-colouring the edges of the Petersen graph
  • Seven Bridges of Königsberg
  • Water, gas, and electricity
  • Three cups problem

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    The advice of their elders to young men is very apt to be as unreal as a list of the hundred best books.
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    Alexander Pope (1688–1744)