Notes on Sphere Packings
Notes on Sphere Packings
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DOI：
10.4153/cjm-1967-017-0
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发表时间：
1967
期刊：
影响因子：
--
通讯作者：
J. Leech
中科院分区：
文献类型：
--
作者：
J. Leech
这些注释是对我的论文(4)的补充，应与我的论文一起阅读。两者都分为三部分，在这些注释中，节号又加了一位数字；因此，§1.41在这里补充了(4)的§1.4。参考文献的章节编号总是指向(4)或当前注释，但对其他论文的参考文献是独立编号的。这些笔记的主要结果如下。在[2 m]、m小于或等于6和[24]中给出了新的球体包装，其密度是§§1.6、2.3的两倍。其他的在[2 m]中给出，m大于或等于5，具有与§1.6相同的密度，但是其中每个球体接触的其他球体比在早期的包装中更少。
These notes are to supplement my paper (4), and should be read in conjunction with it. Both are divided into three parts, and in these notes the section numbers have a further digit added; thus §1.41 here supplements §1.4 of (4). References by section numbers are always to (4) or to the present notes, but references to other papers are numbered independently. The principal results of these notes are the following. New sphere packings are given in [2 m ], m ⩾ 6, and in [24], which are twice as dense as those of §§1.6, 2.3. Others are given in [2 m ], m ⩾ 5, with the same density as those of §1.6, but in which each sphere touches fewer other spheres than in the earlier packings.