Human-AI Collaboration Yields First New Square Packing Bound in 23 Years: s(11) ≥ 381/100

viksit · x · 2026-09-08

A hobbyist researcher, working alongside multiple AI models, announced a new lower bound of s(11) ≥ 381/100 for the open problem of packing 11 identical squares — the first significant result in 23 years. The proof is verifiable with 300 lines of Python exact rational arithmetic and proceeds by placing 1,121 unavoidable weighted dots within the containing square. An explainer paper with interactive graphics is available, and the previous best construction came from mathematician Walter Trump.

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