MathDB
2018 PUMaC Live Round 4.2

Source:

January 13, 2019
PuMACLive Round

Problem Statement

Some number of regular polygons meet at a point on the plane such that the polygons' interiors do not overlap, but the polygons fully surround the point (i.e. a sufficiently small circle centered at the point would be contained in the union of the polygons). What is the largest possible number of sides in any of the polygons?