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arXiv · 1511.04165

Self-dual Wulff shapes and spherical convex bodies of constant width $π/{2}$

Huhe Han·Takashi Nishimura
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Abstract

For any Wulff shape, its dual Wulff shape is naturally defined. A self-dual Wulff shape is a Wulff shape equaling its dual Wulff shape exactly. In this paper, it is shown that a Wulff shape is self-dual if and only if the spherical convex body induced by it is of constant width $π/{2}$.

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Huhe Han, Takashi Nishimura. 2016-01-15. Self-dual Wulff shapes and spherical convex bodies of constant width $π/{2}$. https://arxiv.org/abs/1511.04165

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