Problem of the Week 932

A Circular Set

Is there a finite set of points in the plane (3 or more) so that no 3 are collinear and for any 3 points in the set, the center of the circle containing these points is also in the set?

Source: Stan Wagon (Macalester College)

© Copyright 2001 Stan Wagon. Reproduced with permission.

16 Mar 2001