# Introduction to the Flyspeck Project

@inproceedings{Hales2005IntroductionTT, title={Introduction to the Flyspeck Project}, author={Thomas C. Hales}, booktitle={Mathematics, Algorithms, Proofs}, year={2005} }

This article gives an introduction to a long-term project called Flyspeck, whose purpose is to give a formal verification of the Kepler Conjecture. The Kepler Conjecture asserts that the density of a
packing of equal radius balls in three dimensions cannot exceed $pi/sqrt{18}$.
The original proof of the Kepler Conjecture, from 1998, relies extensively on computer calculations. Because the proof relies on relatively few external results, it is a natural choice for a formalization effort.

## 101 Citations

### A Revision of the Proof of the Kepler Conjecture

- MathematicsDiscret. Comput. Geom.
- 2010

The current status of a long-term initiative to reorganize the original proof of the Kepler conjecture 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 is summarized.

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- MathematicsForum of Mathematics, Pi
- 2017

This paper constitutes the official published account of the now completed Flyspeck project and describes a formal proof of the Kepler conjecture on dense sphere packings in a combination of the HOL Light and Isabelle proof assistants.

### hosted at the Radboud Repository of the

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- 2012

This work is an integral part of the Flyspeck project (a formal proof of the Kepler conjecture) and it is shown how developed formal procedures solve formal computational problems in this project.

### Formal Proofs for Nonlinear Optimization

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