Postscript files of Journal articles and preprints
Postscript files of the proof.
There are over 250 pages here in postscript.
The papers can also be obtained from the
xxx archive.
Just click on Hales and Ferguson.
One more paper,
Recent Progress on the Kepler Conjecture,
is not current and is not part of the proof, but it gives
useful background.
Some popular material about the Kepler Conjecture
- Fermat's Last Theorem, Simon Singh, 1997. This book is about
Wiles's theorem, but the last chapter contains a section
called "Great Unsolved Problems" describing the Kepler conjecture.
- "Packing them in," New Scientist, 28 June 1997, Simon Singh.
The last page of this article includes a description of the approach
that is being implemented at this web site.
- Mathematics, the science of patterns: the search for order in
life, mind, and the universe, Keith Devlin, 1997.
This book contains an introduction to sphere packings for the
general reader. It also has some beautiful illustrations of
packings.
- A PASS Maths article on
Mathematical mysteries: Kepler's conjecture
- Robert Calderbank, editor-in-chief of the IEEE Transcations on Information Theory, interviews Neil Sloane
Some Reference Books
-
CRC Handbook of Discrete and Computational Geometry, Goodman & O'Rourke, 1997.
This reference book includes
- Packing and covering (G. Fejes Tóth)
- Sphere packing and coding theory (J.A. Rush)
- Computational geometry software (N. Armenta)
- Combinatorial Geometry, Pach and Agarwal, 1995.
This textbook includes several chapters on packings and coverings.
- Sphere Packings, Lattices, and Groups, Conway & Sloane, 1993.
There are also a few classics that are recommended.
- Packing and Covering, C. A. Rogers, Cambridge University Press, 1964.
- Regular Figures, L. Fejes Tóth, 1964.
- Lagerungen in der Ebene, auf der Kugel, und im Raum, L. Fejes Tóth,
1972.
This page is available for historical purposes only. It is a copy
from www.math.lsa.umich.edu/~hales/countdown. It has not been
maintained since 1998.