Dr. Bos' Problem:

The sketch above shows the layout of an industrial complex. The area is enclosed by a wall with only three gates. The security guards discovered that industrial secrets were leaking out of the plant. Little progress was made in the investigation until the following note was found in a trash barrel:

"Meet me every Tuesday at the intersection near my office. Enter by the northwest gate and take a different route every time. That gives you 715 choices."

If we assume that the culprit will always proceed east or south at each intersection after entering the gate in the upper left of the sketch, at which intersection will the meetings take place?

Due Friday, April 16th at Noon.