Youjiang Lin, Gangsong Leng
Abstract
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In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in $\mathbb{R}^2$ and of its polar body is minimal if and only if K is a parallelogram.
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In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in $\mathbb{R}^2$ and of its polar body is minimal if and only if K is a parallelogram.
Key concepts: Parallelogram, Mathematics, Mixed volume, Convex body, Combinatorics, Regular polygon, Product (mathematics), Volume (thermodynamics)