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This came up in a game against the robot - on the second move, the robot was forced to pass because he was unlucky enough to draw tile number 18. It's easy to see how some other tiles could be as bad, given the placement of his first tile.

I can't begin to visualize all the possibilities yet, but it's obviously useful to play the lower tile position at F3 first, so the better connnected position F4 can take the second tile.