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][1]":
<br />&nbsp;&nbsp;&nbsp;
![Random Diagonals 50x50][2]
<br />


  [1]: http://mathoverflow.net/questions/45920/
  [2]: http://cs.smith.edu/~orourke/MathOverflow/RandomDiagonals50.jpg