Four bugs--*A*, *B*, *C* and *D*--occupy the corners of a square 10
inches on a side. *A* and *C* are male and are located at opposite
corners. *B* and *D* are female, and are located at the two remaining
corners. Simultaneously *A* crawls directly toward *B*, *B* toward *C*, *C*
toward *D* and *D* toward *A*. If all four bugs crawl at the same
constant rate, they will describe four congruent logarithmic spirals
which meet at the center of the square.
How far does each bug travel before they meet? The problem can be
solved without calculus.

bugs.eps

Wed Apr 21 08:26:07 EDT 1999