What is recorded here?
Proved the Kepler conjecture on the maximal density of congruent sphere packings in three-dimensional Euclidean space through geometric reduction and computer-assisted verification of finite cases.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Hales’s exact 2005 Annals paper and associated proof package. Kepler’s conjecture, Fejes Tóth’s reductions, Samuel Ferguson’s separately authored thesis components, later Flyspeck formal verification and higher-dimensional sphere packing remain separate.
Read the original work
- Annals of Mathematics, A proof of the Kepler conjecture
- Hales, A proof of the Kepler conjecture full paper
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People and systems
Thomas C. Hales
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: United States
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English catalogue narrative
Hales: a proof of the Kepler conjecture
Proved the Kepler conjecture on the maximal density of congruent sphere packings in three-dimensional Euclidean space through geometric reduction and computer-assisted verification of finite cases.
Scientific scope
The record is Hales’s exact 2005 Annals paper and associated proof package. Kepler’s conjecture, Fejes Tóth’s reductions, Samuel Ferguson’s separately authored thesis components, later Flyspeck formal verification and higher-dimensional sphere packing remain separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Thomas C. Hales
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.