The study demonstrates an improved upper bound on the area of quadrangles containing convex bodies, suggesting geometric efficiency.
We show that every planar convex body is contained in a quadrangle whose area is less than ( 1 − 2.6 ⋅ 10 − 7 ) 2 times the area of the original convex body, improving the best known upper bound by W. Kuperberg.
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Fodor et al. (2026) studied this question.
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