April 7, 2014

Problem of the Week

for April 7, 2014

A museum guard must be able to see every wall and corner of the space he patrols. In the room pictured below, a guard posted at positions A or B would not be able to patrol it, however a guard posted at position C would be able to patrol it. This four-sided space, therefore, only requires one guard. Given that the room is a polygon, what are the fewest number of sides that require two museum guards to patrol? Draw a picture of this room.

Winners of the first museum guard challenge