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scienceDec 17, 202414:04pending

Sphere Packing: From Kepler to E8 — A Deep Dive into Dense Arrangements

About this episode

Join us as we trace the history of sphere packing, from Kepler's 1611 conjecture and Gauss's lattice results to Hales's computer-assisted proof, and explore Maryna Viazovska's breakthroughs in eight and twenty-four dimensions. We'll unpack close-packed structures (FCC and HCP), simpler lattices, jammed and random packings, and the surprising connections to coding theory and materials science.


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Sphere Packing: From Kepler to E8 — A Deep Dive into Dense Arrangements

Intellectually Curious

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