Hacker News New Sphere-Packing Method Achieves Significant Improvement, Reviving Old Techniques and Sparking Debate.
(www.quantamagazine.org) (Archive)A new sphere-packing method, developed by an outsider, has significantly improved packing efficiency in high dimensions by revisiting a previously abandoned technique. This breakthrough has reignited discussions about the nature of optimal packings, with some suggesting the new method supports the idea that order and symmetry are key. The work has potential applications in cryptography and communications, and the author hopes it will bridge the gap between convex geometry and lattice theory.