Dense Periodic Packings of Regular Polygons

Y. Limon Duparcmeur , A. Gervois , J. Troadec

We show theoretically that it is possible to build dense periodic packings, with quasi 6- fold symmetry, from any kind of identical regular convex polygons. In all cases, each polygon is in contact with z=6 other ones. For an odd number of sides of the polygons, 4 contacts are side to side contacts and the 2 others are side to vertex contacts. For an even number of sides, the 6 contacts are side to side contacts. The packing fraction of the assemblies is of the order of 90%. The predicted patterns have also been obtained by numerical simulations of annealing of packings of convex polygons.

Domaines: Articles anciens

Y. Limon Duparcmeur, A. Gervois, J. Troadec. Dense Periodic Packings of Regular Polygons. Journal de Physique I, 1995, 5 (12), pp.1539-1550. ⟨10.1051/jp1:1995112⟩. ⟨jpa-00247157⟩