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1:50
YouTube
Quanta Magazine
The Sphere-Packing Problem in High Dimensions #mathematics
The sphere-packing problem is simple to state: How do you arrange identical spheres to fill as much volume as possible without overlapping? In three dimensions, you can arrange spheres in a pyramid-shaped pile, the way oranges get stacked in a grocery store. But what about in higher dimensions? In April, Quanta reported on the first significant ...
24K views
Jan 17, 2025
Sphere Packing Applications
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In 1694, Isaac Newton posed the Kissing Number Problem — a deceptively simple question about the limits of geometry. More than three centuries later, students and collaborators from Peking University trained AI to explore high-dimensional space, uncovering new structures and advancing long-standing results. Follow the team’s journey to see how they modeled the problem, trained the system, and pushed the boundaries of sphere packing. #PKUResearch #InnovatewithPKU #PKUMaths | Peking University
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