Self-dual Wulff shapes and spherical convex bodies of constant width ${\pi}/{2}$
Metric Geometry
2016-01-18 v2
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 .
Keywords
Cite
@article{arxiv.1511.04165,
title = {Self-dual Wulff shapes and spherical convex bodies of constant width ${\pi}/{2}$},
author = {Huhe Han and Takashi Nishimura},
journal= {arXiv preprint arXiv:1511.04165},
year = {2016}
}
Comments
9 pages, 5 figures