Remarks on sphere packings, clusters and Hales Ferguson theorem
Séminaire de théorie spectrale et géométrie, Tome 19 (2000-2001), pp. 165-177. 
@article{TSG_2000-2001__19__165_0,
     author = {Verger-Gaugry, Jean-Louis},
     title = {Remarks on sphere packings, clusters and {Hales} {Ferguson} theorem},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {165--177},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {19},
     year = {2000-2001},
     mrnumber = {1909081},
     zbl = {1007.52011},
     language = {en},
     url = {http://www.numdam.org/item/TSG_2000-2001__19__165_0/}
}
TY  - JOUR
AU  - Verger-Gaugry, Jean-Louis
TI  - Remarks on sphere packings, clusters and Hales Ferguson theorem
JO  - Séminaire de théorie spectrale et géométrie
PY  - 2000-2001
SP  - 165
EP  - 177
VL  - 19
PB  - Institut Fourier
PP  - Grenoble
UR  - http://www.numdam.org/item/TSG_2000-2001__19__165_0/
LA  - en
ID  - TSG_2000-2001__19__165_0
ER  - 
%0 Journal Article
%A Verger-Gaugry, Jean-Louis
%T Remarks on sphere packings, clusters and Hales Ferguson theorem
%J Séminaire de théorie spectrale et géométrie
%D 2000-2001
%P 165-177
%V 19
%I Institut Fourier
%C Grenoble
%U http://www.numdam.org/item/TSG_2000-2001__19__165_0/
%G en
%F TSG_2000-2001__19__165_0
Verger-Gaugry, Jean-Louis. Remarks on sphere packings, clusters and Hales Ferguson theorem. Séminaire de théorie spectrale et géométrie, Tome 19 (2000-2001), pp. 165-177. http://www.numdam.org/item/TSG_2000-2001__19__165_0/

[A] H. Akrout, Systoles généralisées, preprint, 2001.

[B] C. Bavard, Systole et invariant d'Hermite, J. reine und angew. Math., 482, ( 1997), 93-120. | MR | Zbl

[CS] J.H. Conway AND N. J. A. Sloane, Sphere packings, lattices and groups, Springer-Verlag, 1988. | MR | Zbl

[FT] L. Fejes-Tóth, Über einen geometrischen Satz, Math. Z., 46, ( 1940), 79-83. | MR

[F] S.L.P. Ferguson, Sphere packings V, preprint, 1999.. | MR

[GL] P.M. GruberAND C.G. Lerkkerkerker, Geometry of Numbers, North-Holland, ( 1987). | MR | Zbl

[H] T.C. Hales, Cannonballs and Honeycombs, Notices of the AMS, 47, n° 4, ( 2000), 440-449. | MR | Zbl

[H2] T.C. Hales, The status of the Kepler conjecture, The Mathematical Intelligences 16, n° 3, ( 1994), 44-58. | MR | Zbl

[H3] T.C. Hales, Sphere packings 1, Disc. Comp. Geom. 17, ( 1997), 1-51. | MR | Zbl

[H4] T.C. Hales, Sphere packings II, Disc. Comp. Geom. 18, ( 1997), 135-149. | MR | Zbl

[Hs] W.-Y. Hsiang, On the sphere packing problem and the proof of Kepler's conjecture, Int. J. Math., 93, ( 1993), 739-831. | MR | Zbl

[M] J. Martinet, Les réseaux parfaits des espaces euclidiens, Masson, 1996. | MR | Zbl

[MVG] G. Muraz AND J.-L. Verger-Gaugry, A compactness theorem for the set of uniformly discrete sets and its subsets: lattices, clusters, model sets and Delone sets, preprint, 2001.

[O] J. Oesterlé, Densité maximale des empilements de sphères en dimension 3 [d'après Thomas C. Hales et Samuel P. Ferguson], Séminaire Bourbaki, n° 863, ( 1998-99), 405-413. | Numdam | MR | Zbl

[O1] J. Oesterlé, Empilements de sphères, Séminaire Bourbaki, n° 727, ( 1989-90), 375-397; SMF Astérisque 189-190, ( 1990). | Numdam | MR | Zbl

[R] C.A. Rogers, Packing and covering, Cambridge University Press, 1964. | MR | Zbl

[T] A. Thue, Über die dichteste Zusammenstellung von kongruenten Kreisen in einer Ebene, Skr. Vidensk-Selsk., Christ. N° 1, ( 1910), 1-9. | JFM

[VG] J.-L. Verger-Gaugry, On a generalization of the Hermite constant, Periodica Mathematica Hungarica, 34, ( 1997), 153-164. | MR | Zbl