2 problems

Equal-density packing conjecture. Densities of the densest $p2$, $pg$, and $p2gg$ packings are equal for all, but centrally nonsymmetric $n$-gons with three-fold rotational symmetr…

Let $n$-gons be regular polygons, and write the density of the densest packing with plane group symmetry $G$ as the corresponding densest $G$-packing density. An $n$-gon has a $k$-…