arXiv:0902.0350math.MG
A revision of the proof of the Kepler conjecture
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. The original proof, announced in 1998 and published in 2006, is long and complex. The process of revision and review did not end with the publication of the proof. This article summarizes the current status of a long-term initiative to reorganize the original proof into a more transparent form and to provide a greater level of certification of the correctness of the computer code and other details of the proof. A final part of this article lists errata in the original proof of the Kepler conjecture.
And a fault was found! The original proof, as published, is incorrect. The error and the fix was published in "A revision of the proof of the Kepler conjecture" (2009). https://arxiv.org/abs/0902.0350 Note that we now actually know there is no more fault, because formalization…
sanxiynView on HNParent context