MathDB
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 11 and interior angles 60o60^o and 120o120^o . Now let nn be a natural number and HH a regular hexagon with edge length nn, 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.