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GPT-5.6 Pro aids new lower bound for Moser's convex worm problem

Researchers have established a new lower bound for Moser's convex worm problem, a mathematical challenge concerning the smallest area of a convex region that can contain any unit-length planar curve. Using the ProofAtlas.ai harness and GPT-5.6 Pro, they determined this lower bound to be greater than 0.2374. This finding improves upon the previous lower bound of 0.2322 and narrows the gap between the known lower and upper bounds for the problem. AI

IMPACT Demonstrates AI's utility in advancing theoretical mathematics and solving complex problems.

RANK_REASON The cluster reports on a new mathematical result derived using AI tools, improving a known lower bound for a long-standing problem. [lever_c_demoted from research: ic=1 ai=0.7]

Read on r/singularity →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

GPT-5.6 Pro aids new lower bound for Moser's convex worm problem

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The cluster reports on a new mathematical result derived using AI tools, improving a known lower bound for a long-standing problem. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. r/singularity TIER_2 English(EN) · /u/zero0_one1 ·

    A new lower bound for Moser's convex worm problem using ProofAtlas.ai harness and GPT-5.6 Pro: every convex universal cover for unit-length planar curves has area greater than 0.2374, improving the previous lower bound of 0.2322

    <table> <tr><td> <a href="https://www.reddit.com/r/singularity/comments/1w6doig/a_new_lower_bound_for_mosers_convex_worm_problem/"> <img alt="A new lower bound for Moser's convex worm problem using ProofAtlas.ai harness and GPT-5.6 Pro: every convex universal cover for unit-lengt…