Every planar convex body K admits a circumscribed quadrangle Q with area(Q) < (1 - 2.6 · 10^{-7}) √2 · area(K), improving Kuperberg's prior upper bound.
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On the minimal area of quadrangles circumscribed about planar convex bodies
Every planar convex body K admits a circumscribed quadrangle Q with area(Q) < (1 - 2.6 · 10^{-7}) √2 · area(K), improving Kuperberg's prior upper bound.