Lattice packings of spheres and the Wulff-shape

Mathematika

Volumn 43, Issue 2, 1996, Pages 229-236

  Wills, J M ^a  

^a UNIVERSITY OF SIEGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001543087     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0025579300011736     Document Type: Article

References (15)

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2. U. Betke, M. Henk and J. M. Wills. Sausages are good packings. Discrete Comp. Geom., 13 (1995), 297-311.
3. K. Böröczky, Jr. and U. Schnell. Asymptotic shape of finite packings. To appear.
4. J. H. Conway and N. J. A. Sloane. Sphere packings, lattices and groups (Springer, New York, 1988).
5. A. Dinghas. Über einen geometrischen Satz von Wulff über die Gleichgewichtsform von Kristallen. Z. Kristallogr., 105 (1943), 304-314.
6. P. Engel. Geometric crystallography, Ch. 3.7 In P. M. Gruber and J. M. Wills, editors, Handbook of Convex Geometry (North Holland, Amsterdam, 1993).
7. P. M. Gruber and C. G. Lekkerkerker. Geometry of Numbers (North Holland, Amsterdam, 1987).
8. P. Gritzmann and J. M. Wills. Finite packing and covering, Ch. 3.4 In P. M. Gruber and J. M. Wills, editors, Handbook of Convex Geometry (North Holland, Amsterdam, 1993).
9. J. F. Koksma. Diophantische Approximationen (Springer, Berlin, 1936) or (Chelsea Publ. Comp., New York).
10. M. v. Laue. Der Wulffsche Satz für die Gleichgewichtsform von Kristallen. Z. Kristallogr., 105 (1943), 124-133.
11. U. Schnell. Parametric density, Wulff-shape and crystals. Submitted.
12. R. Schneider. Convex Bodies: The Brunn-Minkowski Theory (Cambridge University Press, Cambridge, 1993).
13. J. M. Wills. Finite sphere packings and sphere coverings. Rend. Semin. Mat., Messina, Ser. II, 2 (1993), 91-97.
14. J. M. Wills. On large lattice packings of spheres. Geometriae Dedicata, 63 (1996). To appear.
15. S. J. Willson. A semigroup on the space of compact convex bodies. SIAM J. Math. Anal., 11 (1980), 448-457.