| Issue |
J. Phys. I France
Volume 5, Number 12, December 1995
|
|
|---|---|---|
| Page(s) | 1539 - 1550 | |
| DOI | https://doi.org/10.1051/jp1:1995112 | |
J. Phys. I France 5 (1995) 1539-1550
Dense Periodic Packings of Regular Polygons
Y. Limon Duparcmeur1, A. Gervois2 and J.P. Troadec11 Groupe Matière Condensée et Matériaux URA CNRS 804, Université de Rennes 1, 35042 Rennes Cedex, France
2 Service de Physique Théorique, Direction des Sciences de Matière CE Saclay, 91191 Gif-sur-Yvette Cedex, France
(Received 29 May 1995, received and accepted in final form 4 September 1995)
Abstract
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.
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