A new packing density bound in 3-space

被引：0
|
作者：
Smith, EH [1 ]
机构：
[1] Jacksonville State Univ, MCIS Dept, Jacksonville, AL 36265 USA
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2005年 / 34卷 / 03期
关键词：
Computational Mathematic; Packing Density; Compact Convex; Lattice Packing; Minkowski Combination;
D O I：
10.1007/s00454-005-1178-y
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
It is shown that every compact convex set K which is centrally symmetric and has a non-empty interior admits a lattice packing of Euclidean 3-space with density greater than or equal to 0.53835.... This is an improvement of the result in [8], which achieved a bound of 0.46421.... Minkowski combinations and the Brunn-Minkowski inequality are used in conjunction with the construction in [8] to achieve a better result.
引用
收藏
页码：537 / 544
页数：8
相关论文
共 50 条
  • [21] New representations of Bertrand pairs in Euclidean 3-space
    Tuncer, Yilmaz
    Unal, Serpil
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1833 - 1842
  • [22] New Types of Canal Surfaces in Minkowski 3-Space
    Ucum, Ali
    Ilarslan, Kazim
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) : 449 - 468
  • [23] A new approach to Mannheim curve in Euclidean 3-space
    Ucum, Ali
    Camci, Cetin
    Ilarslan, Kazim
    TAMKANG JOURNAL OF MATHEMATICS, 2023, 54 (01): : 93 - 106
  • [24] New version of Backlund transformations in Euclidean 3-space
    Sariaydin, Muhammed Talat
    Korpinar, Talat
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (16) : 5154 - 5158
  • [25] New Results for General Helix in Euclidean 3-space
    Ilarslan, Kazim
    6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926
  • [26] 3-SPACE PROBLEM
    ENFLO, P
    LINDENSTRAUSS, J
    PISIER, G
    MATHEMATICA SCANDINAVICA, 1975, 36 (02) : 199 - 210
  • [27] A new approach to Bertrand curves in Euclidean 3-space
    Çetin Camci
    Ali Uçum
    Kazım İlarslan
    Journal of Geometry, 2020, 111
  • [28] New Types of Canal Surfaces in Minkowski 3-Space
    Ali Uçum
    Kazım İlarslan
    Advances in Applied Clifford Algebras, 2016, 26 : 449 - 468
  • [29] A new approach to Bertrand curves in Euclidean 3-space
    Camci, Cetin
    Ucum, Ali
    Ilarslan, Kazim
    JOURNAL OF GEOMETRY, 2020, 111 (03)
  • [30] New Special Surfaces in de Sitter 3-Space
    Aziz, H. S. Abdel
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2008, 2 (03): : 345 - 352
12345