The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical conjecture about sphere packing in three-dimensional Euclidean space. It says that no arrangement of equally sized spheres filling space has a greater average density than that of the cubic close packing (face-centered cubic) and hexagonal close packing arrangements. The density of these arrangements is around 74.05%.In 1998 Thomas Hales, following an approach suggested by Fejes Tóth (1953), announced that he had a proof of the Kepler conjecture. Hales' proof is a proof by exhaustion involving the checking of many individual cases using complex computer calculations. Referees have said that they are "99% certain" of the correctness of Hales' proof, and now Kepler conjecture is accepted as a theorem.
Excerpt from: https://en.wikipedia.org/wiki/Kepler_conjecture
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Details
- Publication Date
- Jun 8, 2016
- Language
- English
- Category
- Biographies & Memoirs
- Copyright
- All Rights Reserved - Standard Copyright License
- Contributors
- By (author): Walter W. (Walter William) Bryant
Specifications
- Pages
- 50
- Binding
- Perfect Bound
- Interior Color
- Black & White
- Dimensions
- US Trade (6 x 9 in / 152 x 229 mm)