Kepler's conjecture confirmed

被引：75

作者：

Sloane, NJA ^{[1
]}

机构：

[1] AT&T Shannon Lab, Florham Park, NJ 07932 USA

来源：

NATURE | 1998年 / 395卷 / 6701期

关键词：

D O I：

10.1038/26609

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

One of the oldest unsolved problems in mathematics appears to have been settled. On 9 August, Thomas C. Hales announced that he had proved Kepler's assertion of 1611 that no packing of spheres can be denser than a face-centred-cubic lattice.

引用

页码：435 / 436

页数：2

共 10 条

[1]

Barlow W., 1883, Nature, V29, P186, DOI [10.1038/029186a0, DOI 10.1038/029186A0]

[2]

BEZDEK A, 1991, V KLEE FESTSCHRIFT, P71

[3]

Conway J. H., 1993, SPHERE PACKINGS LATT

[4] WHAT ARE ALL THE BEST SPHERE PACKINGS IN LOW DIMENSIONS [J].

CONWAY, JH ;

SLOANE, NJA .

DISCRETE & COMPUTATIONAL GEOMETRY, 1995, 13 (3-4) :383-403

[5]

Fuller R.B., 1975, Synergetics

[6] Sphere packings .1. [J].

Hales, TC .

DISCRETE & COMPUTATIONAL GEOMETRY, 1997, 17 (01) :1-51

[7]

HSIANG WY, 1993, INT J MATH, V93, P739

[8]

ROGERS C. A., 1958, Proc. London Math. Soc., Vs3-8, P609, DOI [10.1112/plms/s3-8.4.609, DOI 10.1112/PLMS/S3-8.4.609]

[9] COMMUNICATION IN THE PRESENCE OF NOISE [J].

SHANNON, CE .

PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1949, 37 (01) :10-21

[10]

TOTH GF, 1995, MATH REV, V95

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