Notes on Sphere Packings
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 251-267
- https://doi.org/10.4153/cjm-1967-017-0
Abstract
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 [2m], m ⩾ 6, and in [24], which are twice as dense as those of §§1.6, 2.3. Others are given in [2m], 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.Keywords
This publication has 4 references indexed in Scilit:
- Some Sphere Packings in Higher SpaceCanadian Journal of Mathematics, 1964
- Some extreme forms defined in terms of Abelian groupsJournal of the Australian Mathematical Society, 1959
- The construction of perfect and extreme forms IIActa Arithmetica, 1959
- An Extreme Duodenary FormCanadian Journal of Mathematics, 1953