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The Logarithmic Spiral Conjecture

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arxiv math/0501133 v2 pith:4FZEU75M submitted 2005-01-10 math.OC math.MG

classification math.OCmath.MG
keywords logarithmicspiraladoptalthoughconjecturefurthergiveninformation
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When searching for a planar line, if given no further information, one should adopt a logarithmic spiral strategy (although unproven).

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Geometric Structure of Ends of Ricci Shrinkers

    math.DG 2025-08 unverdicted novelty 5.0 of 10

    Blow-up limits of Ricci shrinkers based at Type I scalar curvature points split a line, with smooth convergence in dimension four.

  2. A General Solution to Bellman's Lost-in-a-forest Problem

    math.OC 2024-12 reject novelty 4.0 of 10

    The paper reformulates Bellman's lost-in-a-forest problem as a traveling-salesman-style optimization over rotated and translated forest boundaries, but the promised general solution lacks a rigorous convergence proof ...

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