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⬢github Lean · 13 ★ +1 since we first saw it · pushed 1 d ago

Queuingtheorydotcom/11SquaresFormalized

Lean formalization of the optimality proof of the 11 square packing

This repository contains a Lean 4 formalization of a complete machine-checked proof that the optimal packing side length for 11 equal squares is T = (6u+4)/(1+2u−u²), with u a specific algebraic root (~3.87708359). Geometry, case analysis, and proof assembly use ordinary Lean proofs, while selected exact numerical certificates use native_decide. It imports verification sources from the EvolvingPrograms project and includes scripts to reproduce the full 7,920-module audit.

Why now: Freshly completed: the optimality proof just passed verification (announced on Hacker News as an AI-assisted proof of optimal 11-square packing), making it a current talking point in formal-math and AI-assisted mathematics circles.

Who it is for: Formalization researchers, Lean/Mathlib users, and discrete/computational geometry enthusiasts interested in machine-checked packing proofs.

leanformal-verificationmathematicspackingtheorem-proving

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Stars over our 6 snapshots: 12 to 13, since 1 h ago.

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