The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional...

conjecture is therefore related to the Kepler conjecture about sphere packing. Since the solution to the Kepler conjecture establishes that identical balls...

discrete geometry, he settled the Kepler conjecture on the density of sphere packings and the honeycomb conjecture. In 2014, he announced the completion...

many spheres has a longer history of investigation, from which the Kepler conjecture is most well-known. Atoms in crystal structures can be simplistically...

later became known as the Kepler conjecture, a statement about the most efficient arrangement for packing spheres. Kepler wrote the influential mathematical...

Ullmo, 1998, Shou-Wu Zhang, 1998) Kepler conjecture (Samuel Ferguson, Thomas Callister Hales, 1998) Dodecahedral conjecture (Thomas Callister Hales, Sean...

equivalent to the Kepler conjecture. In 1998, American mathematician Thomas Callister Hales gave a computer-aided proof of the Kepler conjecture. It shows that...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

complexity theory, information theory, and graph theory. In 1998, the Kepler conjecture on sphere packing seemed to also be partially proven by computer....

including structures that are aperiodic in the stacking direction. The Kepler conjecture states that this is the highest density that can be achieved by any...