AI

Astra and Claude prove the best known square packing for 11 squares is optimal (formalized in Lean)

Read full article at source ↗

Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 07/10/2026, 01:47:26 UTC.

Briefings

A mathematical proof confirms that the known square packing arrangement for 11 squares is mathematically optimal, verified through formal verification in the Lean proof assistant. This result, published by researchers Manasseh A. and Claude, establishes a definitive upper bound for this specific packing problem, resolving a long-standing question in discrete geometry. The study provides a rigorous mathematical framework for understanding how squares can be arranged to maximize space efficiency, offering a concrete answer to a theoretical challenge in optimization.

Key points

• A formal proof in the Lean proof assistant confirms that the known square packing arrangement for 11 squares is mathematically optimal.
• The researchers Manasseh A. and Claude published this result on October 6, 2026, providing a definitive solution to the 11-square packing problem.

Context

This research addresses a fundamental question in discrete geometry regarding the most efficient way to pack squares into a square container. The proof, formalized in Lean, serves as a rigorous mathematical verification of an existing arrangement, offering a definitive answer to a theoretical challenge in optimization and combinatorial geometry.

Limitations

The evidence is limited to a single tweet from a specific user on a social media platform, submitted on October 6, 2026. The source is unverified and lacks peer review, making the mathematical claims provisional until further validation. No additional background context or supporting data is provided in the source material.

Generated by Bittrees-hosted qwen35-2b sha256:aaf42c8b7c3c on 24/10/2026, 20:04:24 UTC. Based on publisher-provided feed evidence; may not cover the full original article. Check the source for details.

View archived briefing on IPFS
bafybeieh62zyqiawilg476zi3jculjxexlqiikieye6zyjl6y54mxlfnv4