• Publications
  • Influence
Sphere Packings, Lattices and Groups
  • J. Conway, N. Sloane
  • Mathematics
    Grundlehren der mathematischen Wissenschaften
  • 1 December 1987
The second edition of this book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to
Winning Ways for Your Mathematical Plays
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of
Atlas of finite groups : maximal subgroups and ordinary characters for simple groups
This atlas covers groups from the families of the classification of finite simple groups. Recently updated incorporating corrections
On Numbers and Games
ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally
A new upper bound on the minimal distance of self-dual codes
It is shown that the minimal distance d of a binary self-dual code of length n>or=74 is at most 2((n+6)/10). This bound is a consequence of some new conditions on the weight enumerator of a self-dual
Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
TLDR
A reformulation of the problem gives a way to describe n-dimensional subspaces of m-space as points on a sphere in dimension ½(m–l)(m+2), which provides a (usually) lowerdimensional representation than the Plucker embedding and leads to a proof that many of the new packings are optimal.
The game of life.
The Game of Life, or just Life, is a one-person game that was created by the English mathematician John Horton Conway in the late 1960s. It is a simple representation of birth, death, development,
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