Sphere Packings

  • Chuanming Zong
  • John Talbot

Part of the Universitext book series (UTX)

About this book


Sphere Packings is one of the most attractive and challenging subjects in mathematics. Almost 4 centuries ago, Kepler studied the densities of sphere packings and made his famous conjecture. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with othe subjects found. Thus, though some of its original problems are still open, sphere packings has been developed into an important discipline. This book tries to give a full account of this fascinating subject, especially its local aspects, discrete aspects and its proof methods.


Kabatjanski-Levenstein method Lattice Lattice packings Sphere packing sausage conjecture

Authors and affiliations

  • Chuanming Zong
    • 1
  1. 1.Institute of Mathernatics Chinese Academy of SciencesPR China

Editors and affiliations

  • John Talbot
    • 1
  1. 1.Department of MathematicsUniversity College LondonLondonUK

Bibliographic information