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Joseph O'Rourke
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I have nothing substantive to say, but I thought others might enjoy an example random diagonals, which is drawn from an earlier MO question, "Shortest grid-graph paths with random diagonal shortcuts":
    Random Diagonals 50x50 http://cs.smith.edu/%7Eorourke/MathOverflow/RandomDiagonals50.jpg

Joseph O'Rourke
  • 150.8k
  • 36
  • 358
  • 958