2018.C5

Part of Durer Math Competition CD 1st Round - geometry

Problems(1)

beautiful convex n-gons 2017-18 Dürer Round1 C5 C+4

Source:

n

-gon is called nice if its sides are not all the same length, and the sum of the distances of any interior point to the side lines is

1

. Find all integers

n \ge 4

such that a nice

n

geometryconvex polygonconvex