Problem #189

On each of the vertices of a regular n-gon with sides of length 1, a bug is placed. Each bug walks directly toward the bug that started at the adjacent vertex counterclockwise from its vertex. Of course, the bug at the adjacent vertex is also moving so the bugs will spiral in toward the center of the n-gon as shown in the figure below for n = 5. How far does each bug travel?

The solution will be posted shortly.

Back to the Advanced Problem Archives

Back to the Math Department Homepage.