reflection of vertices wrt diagonal not outside polygon
Source: JBMO 2011 Shortlist C8
October 14, 2017
reflectionJBMOcombinatoricscombinatorial geometry
Problem Statement
Determine the polygons with sides , not necessarily convex, which satisfy the property that the reflection of every vertex of polygon with respect to every diagonal of the polygon does not fall outside the polygon.
Note: Each segment joining two non-neighboring vertices of the polygon is a diagonal. The reflection is considered with respect to the support line of the diagonal.