AI-Assisted Square Packing Breakthroughs: Optimality Proof for n=11, New Bounds Up to 53

ctjlewis · x · 2026-10-07

The Squares Project, started by Joshua Levy in August 2026, catalogs an explosion of AI-assisted results on the square packing problem: new lower bounds for n=11,17–20, a certified 31/8 bound by Kleddamag, Queuingtheorydotcom's landmark optimality proof for the famous 11-square case, and Evan Daniel's proof of the whole family s(k²−3)=k for k≥6 plus exact values at 21, 32, 45. Proofs and certificates are AI-assistedly verified, with a browser for best known packings.

Related event: AI-Assisted Team Proves Optimality of 11-Square Packing, Formalized in Lean(9 posts)→

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