Regular hexagons in a non-overlapping way
Source: AIMO 6/2, German TST 2010
July 16, 2011
geometrygeometric transformationrotationgeometry unsolved
Problem Statement
Determine all such that a regular hexagon (i.e. all sides equal length, all interior angles same size) can be partitioned in finitely many gons such that they can be composed into congruent regular hexagons in a non-overlapping way upon certain rotations and translations.