关于包含凸$n$-边形的最小面积$n-1$-边形
On the smallest area $n-1$-gon containing a convex $n$-gon
摘要：
证明了单位面积凸五边形包含在面积不大于$3/\sqrt{5}$的凸四边形中，单位面积凸六边形包含在面积不大于$7/6$的凸五边形中.正如正五边形（六边形）的情况所示，这两个结果都是紧的。我们猜想，对于每一个$n\ge 6$，每一个单位面积的凸$n$ -边形都包含在一个面积不大于$1+\tan(2π/n)\sec(π/n)/n$的$(n-1)$ -边形中.
英文摘要：
We prove that every unit area convex pentagon is contained in a convex quadrilateral of area no greater than $3/\sqrt{5}$, and that every unit area convex hexagon is contained in a convex pentagon of area no greater than $7/6$. Both results are tight as the case of the regular pentagon (hexagon) shows. We conjecture that for every $n\ge 6$, every unit area convex $n$ - gon is contained in a $(n-1)$ - gon of area no greater than $1+\tan(2π/n)\sec(π/n)/n$.
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