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An Improved Lower Bound for Moser's Worm Problem

Tirasan Khandhawit·Sira Sriswasdi
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Abstract

We show that any convex region which contains a unit segment, an equilateral triangle of sides 1/2, and a square of side 1/3 always has area at least 0.227498. Using grid-search algorithm, we attempt to find a configuration of these three objects with minimal convex hull area. Consequently, we improve a lower bound for Moser's worm problem from 0.2194 to 0.227498.

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Tirasan Khandhawit, Sira Sriswasdi. 2009-06-05. An Improved Lower Bound for Moser's Worm Problem. https://arxiv.org/abs/math/0701391

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