MathDB

Turkey NMO 2011 q5

Source:

December 8, 2011

geometrygeometric transformationrotationtrapezoidgeometry unsolved

Problem Statement

Let

M

and

N

be two regular polygonic area.Define

K(M,N)

as the midpoints of segments

[AB]

such that

A

belong to

M

and

B

belong to

N

. Find all situations of

M

and

N

such that

K(M,N)

is a regualr polygonic area too.