The Logarithmic Spiral Conjecture
Steven R. Finch

TL;DR
This paper discusses the potential effectiveness of using a logarithmic spiral strategy for searching for a line in a plane, proposing it as a promising approach despite lacking formal proof.
Contribution
It introduces the logarithmic spiral conjecture as a strategic approach for planar line search problems, highlighting its potential without formal validation.
Findings
Suggests logarithmic spiral as an optimal search strategy
Proposes the conjecture as a promising unproven method
Highlights need for formal proof of the strategy's effectiveness
Abstract
When searching for a planar line, if given no further information, one should adopt a logarithmic spiral strategy (although unproven).
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Taxonomy
TopicsOptimization and Search Problems · semigroups and automata theory · Optimization and Packing Problems
