Kepler conjecture
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The Kepler conjecture, named after the 17th-century German 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 slightly greater than 74%.
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| Front page of 'On the six-cornered snowflake' Front page of 'On the six-cornered snowflake' www.its.caltech.edu/~atomic/snowcrystals/earlyobs/kepler2.gif - Web |
| Thomas Hales' home page Thomas Hales' home page sites.google.com/site/thalespitt/ - Web |
| Flyspeck project home page Flyspeck project home page code.google.com/p/flyspeck/ - Web |
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| Overview of Hales' proof Overview of Hales' proof www.math.pitt.edu/articles/cannonOverview.html - Web |
| Article in American Scientist by Dana Mackenzie Article in American Scientist by Dana Mackenzie www.americanscientist.org/.../issue.aspx - Web |
| Flyspeck I: Tame Graphs, verified enumeration of t... Flyspeck I: Tame Graphs, verified enumeration of tame plane graphs as defined by Thomas C. Hales in his proof of the Kepler Conjecture afp.sourceforge.net/entries/Flyspeck-Tame.shtml - Web |
