What is Kepler conjecture?
[[File:Kepler conjecture 2.jpg|thumb|One of the diagrams from ''Strena Seu de Nive Sexangula'', illustrating the Kepler conjecture]] The '''Kepler conjecture''' is a [[conjecture|problem]] in [[mathematics|math]]. It wants to know the best way to put [[sphere]]s together so there will be only a little bit of room between the spheres. That means the spheres are put together very tightly, meaning they are [[dense]]. == Details == The Kepler conjecture is about [[Sphere packing]] in three-dimensional [[Eucliean geometry|Euclidean]] space. It is named after [[Johannes Kepler]] (1571-1630) who first had this idea. Kepler supposed that the ways to pack [[sphere]]s of equal size that result in the packing with the highest [[density]] are [[Cubic crystal system|face-centered cubic]] or [[Hexagonal crystal system|hexagonal]] packings. Those two things are crystal structures, meaning ways to put things together in a repeating pattern. These packings have a density of slightly over 74 percent, this means that they fill about 74 percent of space available. {{Math-stub}} [[Category:Conjectures]] [[Category:Geometry]]