19 citations · 36 across the 9 of their papers we have counts for
7 papers · 1 filter
Sphere packings II
Thomas C. Hales
An earlier paper describes a program to prove the Kepler conjecture on sphere packings. This paper carries out the second step of that program. A sphere packing leads to a decompos…
Sphere packings I
Thomas C. Hales
We describe a program to prove the Kepler conjecture on sphere packings. We then carry out the first step of this program. Each packing determines a decomposition of space into Del…
The Kepler conjecture
Thomas C. Hales
This is the eighth and final paper in a series giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is neve…
Sphere packings IV
Thomas C. Hales
This is the sixth in a series of papers giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never great…
Sphere packings III
Thomas C. Hales
This is the fifth in a series of papers giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never great…
A formulation of the Kepler conjecture
Samuel P. Ferguson, Thomas C. Hales
This is the second in a series of papers giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never grea…