One interesting feature of nanoparticles is the fact that they can crystallize into a broad array of different crystal structures, depending on their shape and interactions. The experimental team of Cyrille Hamon at LPS is looking into the self-assembly of rod-shaped particles into structures that consist of layers of aligned rods [1]. Within these layers, the particles behave more or less as 2D objects, with a shape corresponding to the cross-section of the rod. Experimentally, this cross-section can be tuned to triangular, square, or pentagonal, such that a slice through one of the layers looks like a packing of polygons. The question is: what crystal structures could form in such a 2D system of polygons? When all particles have the same shape and size, we know the answer [2], but mixing different shapes or sizes opens the door to a variety of crystals. In this project, you will use specialized computer simulations [3] to explore the packing of mixtures of polygons, and in particular look for regimes where interesting structures emerge. These findings can then help guide future experiments. The ideal candidate has a strong background in statistical physics, as well as an interest in coding and/or computer simulations.