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LLM-Assisted Advances in the Ropelength Problem

This work summarizes some updates to the ropelength problem, concerning the shortest possible contour length of a unit-thickness knot, that were derived with the assistance of ChatGPT-5.6 Luna. The first of two main results is that the universal lower bound f...

Source: arXiv · arxiv.org Published 2026-11-10T15:46:21+00:00 Detected 2026-11-11T06:18:57+00:00
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This work summarizes some updates to the ropelength problem, concerning the shortest possible contour length of a unit-thickness knot, that were derived with the assistance of ChatGPT-5.6 Luna. The first of two main results is that the universal lower bound f...

This work summarizes some updates to the ropelength problem, concerning the shortest possible contour length of a unit-thickness knot, that were derived with the assistance of ChatGPT-5.6 Luna. The first of two main results is that the universal lower bound for a knot with crossing number C has been improved from...

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