A man is standing on a rock in the middle of a circular lake of radius 1. There is a tiger on the shore of the lake that can run four times as fast you can swim, however the tiger can not swim. The tiger is hungry and always attempts to keep the distance between the two of you at a minimum.
How can you safely swim to shore?
It has been a lonngg time since I had to use calculus and I'm not going to try to refresh my memory at this time of the night. That said, always swim directly away from the tiger; the tiger will always be PI away from where you could land; your path will be a logarithmic spiral.
Minimum Swim
