Kepler conjecture ^{en}
The Kepler conjecture, named after the 17thcentury German mathematician and astronomer Johannes Kepler, is a mathematical conjecture about sphere packing in threedimensional 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 and hexagonal close packing arrangements. The density of these arrangements is slightly greater than 74%. In 1998 Thomas Hales, following an approach suggested by Fejes Tóth, 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, so the Kepler conjecture is now very close to being accepted as a theorem. [  ]
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 http://es.wikipedia.org/wiki/Conjetura_de_Kepler
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 http://fr.wikipedia.org/wiki/Conjecture_de_Kepler
 http://it.wikipedia.org/wiki/Congettura_di_Keplero
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