rhombuses cover a hexagon into 3 orientations
Source: 11th QEDMO p7 Seniors (6-8. 12. 2012) https://artofproblemsolving.com/community/c1512515_qedmo_200507
May 16, 2021
combinatorial geometrycombinatoricsrhombushexagon
Problem Statement
In the following, a rhombus is one with edge length and interior angles and . Now let be a natural number and a regular hexagon with edge length , which is covered with rhombuses without overlapping has been. The rhombuses then appear in three different orientations. Prove that whatever the overlap looks exactly, each of these three orientations can be viewed at the same time.