Below are outputs of my optimization algorithm for the regular pentagon packing problem. Density of all solutions is approximately 0.9213. All of the shown packings are represented by distinct plane groups but all are elements of the p2 isomorphism class. They have different lattice groups. (In case of p2 class the plane groups are semidirect products of a lattice group and a cyclic group of order 2). Forgetting the plane groups, all the packings are the same pentagonal ice-ray structure. Thus the same approximate density.
