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arXiv · 2310.09301

Two moons in a puddle

Berk Ceylan
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Abstract

We prove that a simple closed plane curve with curvature at most 1 and diameter at least 4, surrounds two disjoint open unit disks. We also pose an open question relating the diameter lower bound to the length of the curve.

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Berk Ceylan. 2023-10-09. Two moons in a puddle. https://doi.org/10.1007/s00283-023-10317-y

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