An Improved Lower Bound for Moser’s Worm Problem Tirasan Khandhawit and Sira Sriswasdi
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چکیده
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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تاریخ انتشار 2009