A density bound for efficient packings of 3-space with centrally symmetric convex bodies

Mathematika

Volumn 46, Issue 1, 1999, Pages 137-144

  Smith, Edwin H ^a  

^a JACKSONVILLE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039530536     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0025579300007634     Document Type: Article

References (9)

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3. V. Ennola. On the lattice constant of a symmetric convex domain, J. London Math. Soc., 36 (1961), 135-138.
4. L. Fejes Toth. Some packing and covering theorems. Acta Sci. Math. Szeged, 12/A (1950), 62-67.
5. L. Fejes Toth. Lagerungen in der Ebene, auf der Kugel und im Raum. (Springer, Berlin, 1972).
6. E. Hlawka. Zur Geometrie der Zahlen. Math. Z., 49 (1944), 285-312.
7. G. Kuperberg and W. Kuperberg. Double-lattice packings of convex bodies in the plane, Discrete Comput. Geom., 5 (1990), 389-397.
8. K. Reinhardt. Uber die dichteste gitterformige Lagerung kongruenter Bereiche in der Ebene und eine besondere Art konvexer Kurven. Abh. math. Sem. hansischer Univ., 10 (1934), 216-230.
9. P. Tammela. An estimate of the critical determinant of a two-dimensional convex symmetric domain (Russian), Izv. Vyss. Ucebn. Zaved. Mat., 12 (1970), 103-107.