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

Author
Mike Breault
Published
Tue 17 Dec 2024
Episode Link
None

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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Sponsored by Embersilk LLC

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