SMRTR Science & EngineeringJul 7, 2025Quanta Magazine

New Sphere-Packing Record Stems From an Unexpected Source

SMRTR summary

A mathematician, Boaz Klartag, has made a breakthrough in sphere packing for high-dimensional spaces. His method, which revives an old ellipsoid technique combined with convex geometry insights, significantly outperforms previous records. Klartag's work improves packing efficiency by a factor equal to the number of dimensions, nearing the optimal solution. This advancement impacts cryptography and communications, while rekindling debates about optimal sphere packing in higher dimensions.

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