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Yes, Claude can do nine loops

103 points · 62 comments · tzury

atemerev · 1790362763 · focus · HN ↗
Just recently I used Fable 5.1 and Astra to solve and prove a long-standing mathematical problem I was always interested in: the shoreline search problem (a ship in total fog is at unknown distance from the shore [infinite line], what is the optimal trajectory?) A particular kind of logarithmic spiral was conjectured 33 years ago; a few days ago, I have obtained the proof. How routine it has become.
<a href="https://arxiv.org/abs/2609.24454" rel="nofollow">https://arxiv.org/abs/2609.24454
1. skyberrys · 1790363441 · focus · HN ↗
  Cool, that was an interesting read on its own. I viewed the html version and skimmed it, I appreciated your illustrations.
2. onlyrealcuzzo · 1790363495 · focus · HN ↗
  What if the shore isn't a clean line?
  1. atemerev · 1790364695 · focus · HN ↗
    Then it is the <a href="https://en.wikipedia.org/wiki/Bellman%27s_lost-in-a-forest_problem" rel="nofollow">https://en.wikipedia.org/wiki/Bellman%27s_lost-in-a-forest_p... - also unsolved

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