You and a friend are planning on hiking separately and meeting at a lake neither of you have ever been to before. The map shows it to be a hilly area, with plenty of streams and trees.
You're sure you can find the lake, and walk around it if necessary, but visibility might be poor. Where should you arrange to meet to be sure of finding each other?
There is a simple solution to this problem, which outdoorsy types should be familiar with.
The solution assumes there is an outflow to this lake, which isn't always the case. The lake outflow can dry up in the fall, if it even HAS an outflow. Pleasance's solution could have both people walking around the lake for eternity (if they are unlucky enough to walk in the same direction).